ASTRONOMY LIBRARY 'TABLES OF THE MOON; CONSTRUCTED FOR THE USE OF THE AMERICAN EPHEMERIS AND NAUTICAL ALMANAC. BY PROFESSOR BENJAMIN PEIRCE, LL. D. PUBLISHED BY AUTHORITY OF THE SECRETARY OF THE NAVY. BUREAU OP NAVIGATION, WASHTNOTON. 18C5. I* a'* **t*»* * • • .7, ' >i' v: •; • .; : • ' 3* ** * ft '*' UNIVERSITY PRESS: WELCH, BIGELOW, AND COMPANY, CAMBRIDGE. PREFACE TO THE SECOND EDITION. ONE of the first steps in the preparation of the American Ephemeris and Nautical Almanac, founded by Congress in March, 1849, was the collection of materials for new Tables of the Moon. The work was completed, and the first edition of the American Tables was published in 1853. Since this preliminary step, however indispensable, unavoidably delayed the appearance of the Almanac, I am very solicitous to make known, here and elsewhere, the great obli- gations which American astronomical science is under to Hon. John P. Kennedy, then the Secretary of the Navy, for his just estimate of the magnitude and importance of this work. Although the processes by which it was conducted had formed no part of his study, its objects and value were perfectly understood by a scholar who had already adorned the literature of his own country by his writings. The American Tables, 'as is stated in the title-page of the first edition, are " constructed from Plana's theory, with Airy's and Longstreth's corrections, Hansen's two inequalities of long period arising from the action of Venus, and Hansen's values of the secular variations of the mean motion and the motion of the perigee." The formulas of Plana's theory were taken, not from Plana's own work, but from pages Ixxiv. - Ixxx. of the Introduction to the Eeduction of the Observations of the Moon, made at the Royal Observatory, at Greenwich, from 1750 to 1830. These formulas were adopted because they claimed to be corrected by Plana himself^ and, what is of more importance, because they had been compared with observation, and formed the basis of Airy's corrections of the elements of the Moon. The term 0".8 sin [23], which occurs in that formula, is very different from the cor- responding term 3".3 sin [23], which is originally given by Plana ; but it appears from the remarks given on page Ixxxi. of the Introduction to the Lunar Observations, that this correction was adopted with the assent of Plana, and it was, therefore, attributed to Plana in the American Tables. Airy's corrections of the Lunar elements were adopted from his Memoir in Vol. XVII. of the Memoirs of the Eoyal Astronomical Society. In making these corrections, the two inequalities given at that time by Hansen, and produced by the disturbing force of Venus, were introduced in the comparison. Therefore it was necessary to introduce these terms also into the American Tables, in order to have the theory which had been verified 3 PREFACE. by observation. Very different values of these terms have since been given by Hansen, and are introduced into his Tables. A new set of corrections of the Lunar elements has also been made by Airy ; but these corrections were published several years after the appearance of the American Tables. Just before the final preparation of the American Tables, and when the first volume of the American Ephemeris was on the eve of completion, Longstreth's empirical correc- tions of Plana's formula for the Moon's longitude were communicated to me by their author ; they were accompanied by a table of comparisons (published in the Memoirs of the American Philosophical Society for 1853) which sufficiently attest their value and propriety, and the forthcoming volume of the Ephemeris was delayed until the corre- sponding changes were computed and applied. The present edition of the American Tables of the Moon is the same as the first, with the exception of the correction of typographical errors ; the substitution of the Tables of the Moon's Parallax constructed from Walker's and Adams's formulas, in the place of the original Parallax Tables' ; and the addition of a Table adapted to a convenient modifica- tion of the method of computing the latitude, by Professor J. D. Runkle. A third edition will shortly be issued, of which the basis will still be Plana's theory, while the Tables will be corrected to conform to the new Solar Parallax, and the corrected elements of the Moon's orbit. WAOHIHOTON. Nary Department, March, 1865. C. H. DAVIS. JRear-Admiral, and Chief of the linreau of Navigation. INTRODUCTION. I. CONSTRUCTION OF THE TABLES. THESE tables are constructed from the theory of PLANA, modified by the theoretical investigations of HANSEN, and the empirical corrections of AIRY and LONGSTRETH. The moon's mean longitude is also to be corrected by the two terms of long period, arising from the action of Venus, which were discovered by HANSEN, and printed in the Astronomische Nachrichten, No. 597, and which are expressed by 8h. 6 = the correction of the mean longitude of the moon arising from the action of Venus. */ The following notation is adopted, 6 = the mean longitude of the moon, or = the longitude of the moon's perigee, 17 = the longitude of the moon's node, 6, = the mean longitude of the sun, or. = the longitude of the sun's perigee. ff, ff,., w',., and i)' = the respective daily motions of d, or, 6,., or.., and 17. 00, «•„, 0..o, ar.,0, Vo = the values of 6, or, 6,,, or.., and ij at any assumed epoch, as the beginning of the nineteenth century. The values of 0, v, Sac., at any number of days i from this epoch are, from the formulae of PLANA, with the corrections given by HANSEN in the Astronomische Nachrichten, No. 597, 6 =6t + ffi + .8'.'.598 (10)-»i3 + 3".6483 (10)-" i3 vr =*,, + «'» — 27".217 (10)-* *" — 13".750 ( 10)-" i3, 6.. = 6.., + ff.. i + 0".91584 ( 10)~» f -f 0".03879 ( 10)-" f, «V = w..o + «V t + 0".91584 ( 10)-" f + 0".03879 (10)-" f, i? = la + n' i + 6».0355 10-" i2 + 2".3744 (10)-" f. The values of 00, *0, &c., and of 0'0, «'„, &c., derived, for the mean noon of Washington of the date 1801, Jan. 0, from the values obtained by AIRY in his Memoir upon the Cor- rections of the Elements of the Moon's Orbit, published in the Memoirs of the Eoyal As- tronomical Society, Vol. XVIL, and from BESSEL'S Tables of the Sun, are 6, = 107 55 40*5, ff = 13 635.02808897, v, = 266 4 51.3, v1 = 0 401.05783886, 0.0 = 279 52 44.3, ff^ = 0 3548.32999304, or. 0=279 31 10.4, ^ = 0 0.16947241, 17, = 135552.6, ,' =_0 190.63366070. INTRODUCTION. The ass.Hmgd- "Western Longitude of Greenwich from Washington is 18h 51m 48''. -' noation g" = the mean anomaly of Venus, z = the mean anomaly of the sun = 0,. — ar.., v = the uncorrected mean longitude of the moon = 6 — 8b. 6, c = the mean anomaly of the moon = 6 — w, y = the mean argument of the latitude = 0 -*— qt t = the argument of variation = 6 — tft, « = the true longitude of the moon, J 1= the true argument of the latitude, 9 = the mean heliocentric longitude of Venus, © = the mean heliocentric longitude of the earth = 180° -j~ £..» }[ = the mean heliocentric longitude of Jupiter, H=8g"— 13z-f 315° 3(X, H'= 18 g" — 16 z — x + 35° 2(K2, • gives the following formulae for the longitude, latitude, and horizontal parallax of the moon. In writing these formulae, most of the arguments are expressed by numbers, in which the digit occupying the place of units is the coefficient of x, that in the place of tens is the coefficient of t, that in the place of hundreds is the coefficient of z, that in the place of thousands is the coefficient of y, and that in the place of tens of thousands is the co- efficient of «. The accents upon the numbers indicate that the coefficient is negative. Thus the number of the argument [14' 253'] denotes u — 4y + 2z + 5< — 3*. • The form of the formula of the longitude is modified simply by substituting the term dependent upon the true arguments of the latitude, instead of the equivalent terms. This is accomplished by adding to the formula of longitude the equation, 0 = — 416".7 sin 2 J + 411".7 sin 2y -f 4".l sin (2y + 2x), -f 0".9 sin (2y — 2x) — 46".0 sin (2y — *) + 45".2 sin (2y -f «), + 0".3sin (2y + 3i) — 9".3 sin (2y + r — 2<) + 8".8sin(2y — z-f2<), • + 0".9sin (2y-f x + 2t)+Q".l sin (2y — x— 2*) — 0".4 sin (2y + 2* — 2t), — 0".5sin (2y — 2 * + 2 <) + 5".7 sin (2y -f 2<) — 3".8 sin (2y — 2<), — 0".4 sin (2y — x + z) — 0".4 sin (* -f z — 2 y) — 0".2 sin (2y — 4 1 + *), + 1".0 sin (2 y — t) — 0".7 sin (2 y + z) -f 1".3 sin (2y — z), — 0".4 sin (* — 2< + z + 2y) + 0".3 sin (2( + 2y — z) -f- 0".3 sin (2* — z — 2y). The form of the formula for latitude is modified in a way which is evident from in- spection of the formula, and which is designed to obviate the necessity of correcting the arguments for the change from mean to true longitude. The formula of parallax is re- tained in PLANA'S form.* « The terms of the various equations are given in the first column of the following tables of the formulae united with the constants which are employed in the construction of the tables. The second column contains the initial letter of the authority for the corresponding coefficients of the equation, whether PLANA, AIRY, or LONGSTRETH. The letter is accented when the value of the coefficient is modified by the present form of the tables. The thitd column contains the period of the argument expressed in mean solar days. The fourth column contains the number of the argument. The fifth column contains the number of the table which gives the values of the equation. * See Formula, page 805. 6 INTRODUCTION. EQUATION. M 1 EQUATION. | u PERIOD. s W o PERIOD. ^ U H o M o • « = the moon's true longitude. D H Equations of Longitude con- 1 £ = nutation tinued. 5 d. - u —,,8° 3135". 2 A. 2 + 6.8 sin [1'2] P. 25.82638 27 32 -22655.226 d. 6 - 0.9 sin [2'4] P. 32 -22639.2 sin ri A. 27.55455245 i 6 + 7.5 33 - 769.5 sin '2' P. 6 4- 7.5 sin [2'21'1 P. 38.52204 28 33 36.7 sin 3' P. 6 .4- 6.3 34 2.0 sin '4' P. 6 - 6.3 sin [2'021] P'. 32.76364 29 34 0.1 - sin 5 P. 6 + 3.8 35 - 4587.4 7 4- 3.8 sin [IW] P. 10.37093 30 35 - 4586.9 sin '21'] A. 31.81193574 2 7 4- 3.0 36 _ 31.2 sin 42'] L. 7 - 3.0 sin [31'] P. 15.31442 31 36 + 2457.02 8 - 3.0 37 _ 122.1 sin 10 P. 29.53058800 3 8 - 3.0 sin [1'42'] L. 16.63016 32 37 + 2371.0 sin "20= A. 8 - 2.1 38 + 0.9 sin 30' P. 8 - 2.1 sin [2'01] P. 32.45058 33 38 + 14.4 sin !40' P. 8 - 2.0 39 + 670.5 9 - 2.0 sin f221'] P. 27.09271 34 39 — 670.3 sin ;ioo] A. 365.259687 4 9 + 1.2 40 7.9 sin P. 9 - 1.2 sin [201] P. 23.94223 35 40 + 225.3 10 P 1.0 41 4- 18.0 sin I'1] P. 411.78517 5 10 - 1.0 sin [111] P. 13.71881 36 41 — 212.4 sin ;2'2] P. 10 - 0.5 42 + 206.9 11 - 0.5 sin [43'] P. 37.62533 37 42 - 206-9 sin '1'21'] L. 34.84689 6 11 - 0.4 43 - 192.1 12 - 0.4 sin [121 P. 9.39439 38 43 - 192.1 sin [21] P. 9.61372 7 12 + 0.6 44 - 165.9 13 - 0.6 sin [32'] P. 34.47528 39 44 p 165.9 sin [1'20] P. 15.38731 8 13 + 0.4 45 - 148.1 14 4- 0.4 sin [1'03] P. 9.42177 40 45 - 148.1 sin [I'Ol] P. 29.80283 9 14 -j- 0.4 46 - 110.0 15 - 0.4 sin [103] P. 8.95955 41 46 — 110-0 sin [101] L. 25.62170 10 15 P 0.3 • 47 4- 85.0 16 - 0.3 sin [2'21] P. 10.14791 42 47 — 85.0 sin [2001'] L'. 26.87829 11 16 - 0.6 48 + 58.7 17 - 0.6 sin [1'221 P. 7.26893 43 48 — 58.7 sin [202'0] P'. 173.31006 12' 17 + 0.3 49 4- 38.0 4- 38-0 sin 4- 28.8 [41'] P. 10.08460 13 18 18 19 _ 0.3 sin [12'3] + 0.2 — 0.2 sin [2021] P. P'. 22.78614 5.63335 44 45 49 50 50 — 28.8 sin [121'] P. 29.26328 14 19 + 0.4 51 + 25.0 20 - 0.4 sin [2'1011 P'. 29.01328 46 51 — 25.0 sin [120] L. 14.19161 15 20 + 1.3 52 + 21-0 21 + 1.3 sin [21'00] P'. 14.13256 47 52 — 8.2 sin [11] P. 14.25418 16 21 + 0.5 53 + 14.1 sin [22] P. 21 - 0.5 sin [2'022] P. 14.96709 48- 53 - 17.2 P. 22 + 0.2 54 - 17.2 sin [110] P. 27.32168 17 22 — 0.2 sin [202'2] P'. 12.76271 49 54 14.0 23 + 0.4 55 - 14.0 sin [1'21] P. 9.87359 18 23 - 0.4 sin [2101'] P'. 25.03597 50 55 12.8 24 + 0.2 56 — 12.8 sin [2'3] P. 24.30220 19 24 - 0.2 sin [2001] P'. 9.10846 51 56 9.6 25 + 1.0 57 9.6 sin [1'02] P. 14.31731 20 25 4- 1.0 sin [201'0] P'. 25.23137 52 57 + 9.2 26 + 2.6 58 — 9.2 sin [12'2] L. 131.67112 21 26 - 2.6 sin [212'0] P'. 117.53942 53 58 + 8.1 27 + 1.2 59 — 0.4 sin [I'lO] P. 32.12809 22 27 4- 1.2 sin [1'40] P. 7.53494 54 59 + 7.8 sin [2'20] + 9.8 P. 27 28 + 0.9 » — 0.9 sin [141'] P. 9.81365 55 60 60 — 9.8 sin [202'1] L'. 23.77463 23 28 + 0.7 61 + 7.3 29 - 0.7 sin [2100] P'. 13.11748 56 61 — 7.3 sin [102] P. 13.27650 24 29 + 0.8 62 + 2.9 30 4- 0.8 sin [23] P. 5.66247 57 62 — '2.9 sin [121] P. 9.36717 25 30 + 0.5 63 + 1.9 31 - 0.5 sin ri42'l P. 15.24221 58 63 1.9 sin [41] L. 5.82261 26 31 + 0.6 " " 64 + 1.6 32 - 0.6 sm [204'1] P'. 38.96397 59 64 INTRODUCTION. EQUATION g M | EQUATION. " u 0 PERIOD. • (d 0 PERIOD. ^ a Equations of Longitude con- 1 o $ Equations of Latitude con- B 1 a s tinned. tinued. 4- d.4 A 65 4- o".2 d. 104 - 0.4 sin [212'1] P'. 22.32171 60 65 — 0.2 sin [1021] p. 7.1041 87 104 - 0.4 66 - 0.2 105 - 0.4 sin [4000] P. 6.80305 61 66 - 0.2 sin [1021'] p. 14.6664 88 105 - 0.3 67 - 0.2 106 - 0.3 sin [21-20] P'. 7.22100 62 67 - 0.2 sin [1'022] p. 9.6561 89 106 - 0.3 68 - 0.2 107 - - 0.3 sin- [11000] P. 13.63340 63 68 — 0.2 sin [1'021] p. 32.2808 90 107 -- 0.3 69 4- 6.2 108 - 0.3 sin [2'1'21] P. 35.99212 64 69 — 6.18 sin 38 p. 77 108 4- 0.2 70 4- 9.1 109 - 0.2 sin [140] P. 7.23638 65 70 4- 2.17 cosu A. 109 4-0.2 71 — 8.80 sin « A. 109 - 0.2 sin [2'030] P. 35.59582 66 71 + i.o 72 In which the values of A. and B. are given by the fol- - 1.0 sin [I'lOOl] A. 27.44332 67 72 lowing formulae : + 0.7 4- 0.7 sin [ll'OOl] * ' " * A. 27.66669 68 73 73 74 A = 17600.0 - 846.0 A'. d. — 2.2 sin [1'2'2] L. 471.89326 69 74 - 527.5 cos [20'20] P. 173.31006 12" 83 4- 1.5 75 - 25.7 4- 1.5 sin [21*2'0] P. 329.79056 70 75 - 25.7 cos [2002'] ,i.i i P. 1095.1653 73'" 84 _ - 13 76 - 22.1 — 1.1 sin (?-©) 583.921 71 76 — 22.1 cos [212'0] + 1 • » P. 117.5394 53' 85 4- 0.4 sin 2 (9-©) 4- 0.8 76 77 1.3 — 1.3 cos [1] P. 27.5546 V 86 4- 0.7 sin (©-#) 398.884 72 77 77 4- 10.3 — 10.3 cos [21'2'0] P. 329.7906 70' 87 4- 2.0 78 4- 6.63 4- 2.0 sin [2002'] P. 1095.1653 73' 78 — 1.3 cos [100] P'. 365.2597 4 89 4- 0.5 79 4- 4.7 0.5 sin [111'] P. 3232.8202 74 79 4- 4.7 cos [2'2] P. 205.8926 5' 90 4- 53.2 80 4- 23.2 sin H. 84753.24 75 80 B = —1000. 4- 6565 81 4- 846.0 -}- 27.4 sin H. 95489.94 76 81 — 527.5 sin [202'0] P. 173.31006 12' 83 —416.9 sin 2$. 4- 6.38 sin (u-y) 77 82 8U 4- 25.7 — 25.7 sin [2002'] P. 1095.1653 73" 84 — 0.97 cos (u-y) 8U 4- 22.1 — 22.1 sin [212'0] P. 117.5394 53 85 •The Moon's Latitude = -f- A sin ff + B cos y * 4- 1.3 -60. — 1.3 sin [1] P. 27.5546 1 86 - 15.8 92 4- 10.3 - 15.8 sin [102'1] P. 188.2015 78 92 4- 10.3 sin [21'2'0] P. 329.7906 70 87 - 22.2 93 4- 88.9 - 14.4 sin [1001'] P. 2190.3306 73 93 4- 48.9 sin [100] P'. 365.2597 4 88 - - 0.6 94 4- 4.7 - 0.6 sin [lOl'O] P. 346.6201 12'" 94 4- 4.7 sin [2'2] P. 205.8926 5 90 4- 0.2 95 4- i.o — 0.2 sin [I'lOl] P. 438.3608 79 95 — 1.0 sin [1*1] P'. 411.7852 5 91 4- 0.1 96 - 0.1 sin [1101'] P. 313.0547 80 96 : h 0.7 - 0.7 sin [112'1] P. 124.2016 81 97 97 •The Moon's Equatorial Horizontal Parallax =* - 1.8 98 3000. - 1.8 sin [1*021] P. 14.8655 s-J 98 4- 348.0 d. 110 - 0.7 4 99 - 186.8 cos [1] P. 27.55455 1" 110 - 0.7 sin [1*2*20] P. 39.2116 83 99 - 10.3 cos [21 P. 110 - 0.6 100 0.6 cos [3] P. 110 - 0.6 sin [10021 P'. 9.5717 84 100 - 28.6 111 4-0.5 " 101 — 0.9 cos flO] P. 29.53059 3 111 - 0.5 sin [I'Olll P. 29.9342 48 101 - 27.6 cos [20] P. 111 4-0.4 " 102 - 0.1 cos [40] P. 111 : f- 0.4 sin [803*0] [• 0.3 f 0.3 sin [1042*] P. P. 23.5193 38.2830 85 86 10-2 103 103 - 34.2 - 33.9 cos [21'] - 0.3 cos [42'J P. P. 31.81194 2 112 112 112 * See Table cixxvii. * See Formula, page 305. INTRODUCTION. H EQUATION. R U EQUATION. i o PERIOD. W 0 PERIOD. s The Moon's Equatorial Hori- 5 1' 3 3 P The Moon's Equatorial Hori- § 1 m zo ital Parallax continued. zontal Parallax continued H n d. - 1.4 d. 113 — 0.6 cos [120] P. 14.1916 15 121 - 1.4 cos [1'21'] P. 36.8469 6 113 - 0.3 1 122 - 3.1 114 - 0.3 cos [22] P. 7.1271 16 122 - 3.1 cos" [21] P. 9.6137 7 114 - 0.2 123 - 2.2 115 - 0.2 cos [1'21] P. 9.8736 18 123 - 2.2 cos [1'20] P. 15.3873 8 115 - 0.1 124 - 1.2 116 - 0.1 cos [2'2] P. 24.3022 19' 124 - 1.2 cos [101] P. 29.8028 9 116 - 0.4 125 - 0.9 117 — 0.4 cos [100] P. 365.2597 4 125 - 0.9 cos [I'Ol] P. 25.6217 10 117 + 0.2 126 - 1.2 118 4- 0.2 cos [22'] P. 205.8926 5 126 - 1.2 cos [2001'] P. 26.8783 11 118 + 0.2 127 - 0.5 119 — 0,2 cos [20'20] P. 173.3101 12' 127 -1 - 0.5 cos [41'] P. - 0.2 - 0.2 cos [121'] P. 10.0846 13 29.2633 14 119 120 120 The Moon's Equatorial Semidiameter = The Horizontal Parallax. + 0.6 121 X 0.272274 | B. 128 This value of the Moon's Semidiaraeter is that deduced by BCTRCKHARDT from eclipses and occultations, and should be used for the computation of these phenomena. But for Meridian Observations it seems to vary with the telescope ranging from 2" to 3" greater than the value here given. The Principal Terms of the Second and Fourth Differences of the Longitude for a Quarter of a Day are given in the following formulae. EQUATION. ARGUMENT. TABLE. EQUATION. ARGUMENT. TABLE. Second Difference of the Longitude Second Difference, continued. for a Quarter of a Day = + 0.35 23" —130. — 0.354 sin [1'21] 18 23" -f 76.0 6" + 0.05 24" — 73.563 sin [1 1 6" 4- 0.054 sin [2'3] 19 24" - 9.993 sin 2 6 a + 0.11 25" - 1.071 sin [3' 6 a — 0.115 sin [1'02] 20 25" - 0.104 sin [4' 6 " + 0.07 27" - 0.008 sin 15' 6" — 0.074 sin [2'20] 22 27" + 11.2 — 11.180 sin [21'] — 0.304 sin [42'1 2 7" 7" 7" + 0.10 + 0.102 sin [102] -j- 0.08 24 29" 29" 30" + 31.16 8" — 0.081 sin [121] 25 30" H- 0.345 sin [10 3 8" + 0.14 31" — 20.808 sin [20' 8" — 0.137 sin [41] 26 31" - 0.023 sin [30 8" + 0.19 35" - 0.650 sin [40 8" — 0.087 sin [1'41'] 30 35" + 0.42 — 0.42 sin [l'21'l 6 11" 11" Fourth Difference of the Longitude for a Quarter of a Day = + 5.12 12" — i'.oo - 5.117 sin [21] 7 12" - 0.45 6 IV. + 1.73 ' ' 13" - 0.239 sin [1 1 6 IV. - 1.727 sin [21'] 8 13" - 0.130 sin [2' 6 IV. + 0.41 " " 14 a - 0.031 sin [3' 6iv. - 0.411 sin [1*011 9 14" - 0.005 sin 4 6 V. - 0.41 15" - 0.03 7iv. - 0.413 sin [101] - 0.29 10 15" 16" - 0.027 sin [21'] - 0.003 sin [42'] 2 7iv. TIT. - 0.288 sin [2001'] 11 16 it - 0.31 giv. - 0.92 18 n - 0.303 sin [20] 3 giv. - 0.920 sin [41'] 13 18 " - 0.006 sin [30] giv. - 0.08 19 H - 0.029 sin [40] giv. - 0.083 sin [121'] 14 19 II - 0.14 12'v. - 0.31 20 II - 0.136 sin [21] 7 12IV- - 0.306 sin [120] 15 20" - 0.02 13 v- - 0.80 21 II - 0.018 sin [21'] 8 131V - 0.100 sin [11] - 0.680 sin [221 16 21" 21" - 0.02 - 0.022 sin [41'] .13 18'v- + 0.06 " " 22 II - 0.03 21 v. — 0.057 sin [110] 17 22" - 0.033 sin [22] 16 21'v- INTRODUCTION. Since HANSEN'S inequalities of long period, arising from the action of Venus, affect the mean longitude of the moon, they must be applied to the several arguments contained in Tables \a. or V6., and to render these corrections always additive the arguments in Tables Ha. and 116. have been diminished by the following constants: — Arg. 1 by 0.001859, Arg. 2 by 0.001410, Arg. 3 by 0.001214, Arg. 6 by 0.0013, Arg. 7 by 0.0011, Arg. 8 by 0.0012, Arg. 9 by 0.0012, Arg. 10 by 0.0010, Arg. 11 by 0.0011, Arg. 13 by 0.0012. And Tables Va. and V6. have been constructed by the formulae, — Corr. Arg. 1 0.0005( Corr. Arg. 2 0.0006( Corr. Arg. 3 0 0005! Corr. Arg. 6 0.0006 Corr. Arg. 7 0.0002 Corr. Arg. 8 0.0003 Corr. Arg. 9 0.0005 Corr. Arg. 10 0.0005 Corr. Arg. 11 0.0005 Corr. Arg. 13 0.0002 TABLE Vo. -f- 0.000498 4- 0.000569 4- 0.000529 -f 0.00062 -f 0.00017 4- 0.00028 4- 0.00053 4- 0.00046 4- 0.00048 4- 0.00018 TABLE VA. slnH + 0.001359 + 0.0005826 sin H>, sin H 4- 0.00081 4- 0.000673 sin If, sin H 4- 0.000684 4- 0.000624 sin If, sin H 4- 0.0007 4- 0.00074 sin If, sin H 4- 0.0009 4- 0.00021 sin H', sin H 4- 0.0009 4- 0.00033 sin H' sin H 4- 0.0007 4- 0.00053 sin H', sin H 4- 0.0005 4- 0.00054 sin H, sin H 4- 0.0006 4- 0.00056 sin If, sin H 4- 0.0010 4- 0.00021 sin If. II. DESCRIPTION OF THE TABLES. TABLES la., 16., and Ic. are Tables of Astronomical Dates in mean solar days reckoned from the beginning of the Julian Period, from which the date of any event can be reduced to days and decimals of a day when it is originally given in the usual form with reference to the Christian Era. Tables Ila. and 116. contain the values of the mean longitude, the negative of the longitude of the node, and all the arguments for the mean Washington noon of every thousandth day from 2300000 to 2500000. Tables Ilia, and III6. contain the motions of the mean longitude, and of the lon- gitude of the node for every interval of days and fractions of a day less than 1000 days, and the first ten multiples of all the periods. Table IV. contains the constants by which the mean longitude, and the longitude of the node, and the various arguments, can be reduced, from the interval from 2400000 to 2500000 days to any previous time after the commencement of the Julian Period. Tables Va. and V6. contain the corrections of the various arguments for HANSEN'S term of long period in the action of Venus. Tables VI. to LXXXII. inclusive contain the different equations of the moon's lon- gitude. Tables VI". to XXXVII". inclusive contain the second differences for a quarter of a day of the moon's longitude. Tables VI.IV to XVI.IV inclusive contain the fourth differences for a quarter of a day of the moon's longitude. Tables LXXXIII. to CIX. inclusive contain the terms of the moon's latitude. Tables CX.. to CXXVII. inclusive contain the terms of the moon's horizontal par- allax. Table CXXVIII. contains the table for the moon's semidiameter. 10 INTRODUCTION. III. USE OF THE TABLES. 1. Eeduce the instant for which the moon's place is to be computed to its date in days and decimals of a day from Washington mean noon, by means of Tables la., 16., and Ic. The number of days for the beginning of the year is to be found in Table la., that for the day of the year in Table 16., and the decimal of the day in Table Ic. 2. Find the longitudes and arguments for the date from Tables Ila., 116., Ilia., III6., Va., and V6. If the date is contained within the interval 2300000 to 2500000 days, Find the value of the longitude or argument for the preceding thousandth day in Table Ila. or 116., in the column headed with the name of the longitude or argument; multiply the number which is contained in the column headed with the accented name of the longitude or argument by one thousandth part of the excess of the date over that of the preceding thousandth day. Find in Table Ilia, the motion of the longitude for this excess of days. The sum of the three numbers thus found for each longitude is the mean longitude for the date, and the sum of the two numbers for each argument and of the excess of the date over that of the preceding thousandth day is the argument for the date. The argument thus found must be reduced by substituting as many entire multiples of the period of the argu- ment as it contains, and Table III6. will facilitate this process of reduction. Finally, cor- rect the argument by the addition of the corrections contained in Tables Va. and V6. If the date is less than 2300000 days, Change the hundred thousands of the date to 24 ; find the longitude and arguments by the preceding process for the changed date, with the exception of the corrections contained in Tables Va. and V6. Take from Table IV. the constants of longitude and argu- ment which correspond to the hundred-thousandth day next preceding the given date. Multiply the excess of the date over the next preceding hundred-thousandth day by the accented number of which the logarithm is given in the column of Table IV. next follow- ing the longitude or argument to which it corresponds when it is. of sufficient magnitude to be noticed. Multiply the square of this excess by the doubly accented number of which the logarithm is given in the column of Table IV. next following that of the singly ac- cented number, when it is of sufficient magnitude to be noticed. The sum of these two products, added to the constant, and corrected by the addition of the correction of Tables Va. and V6. is the total addition to be made to the longitude or argument obtained by the preceding process. 3. Find, by means of the several arguments, the equations of longitude contained in the Tables VI. - LXXXI.4. inclusive, and add their sum to the value of u already obtained. It is to be observed, in entering Tables XVII., LIIL, and LXXVIIL, that Arg. 12' = Arg. 12, but that the period is half as long. Arg. 48' = Arg. 48 — 6J-.26, and it has a half-period. Arg. 73' = Arg. 73 -f 173'-.792, and it has a half-period. 4. To the sum of u and the equations of longitude add the value of y — u already ob- tained, and this sum is y, which is the argument with which Table LXXXII. is to be entered for the final equation of longitude, which is to be added to the sum of u and the other equations in order to obtain the true longitude, il, of the moon. 11 INTRODUCTION. 5. Find the value of A by entering .1. Table LXXXIII. with the Arg. 12" = Arg. 12 — 43.3275, Table LXXXIV. with the Arg. 73'"= Arg. 73 + 47.5826, Table LXXXV. with the Arg. 53' = Arg. 53 — 29.38, Table LXXXVI. with the Arg. 1' = Arg. 1 -f 6.89, Table LXXXVII. with the Arg. 70' = Arg. 70 — 82.45, Table LXXXIX. with the Arg. 4 Table XC. with the Arg. 5' = Arg. 5 + 51.47. The value of A is the sum of the equations thus obtained increased by 17600". 6. Find the value of B by entering Tables LXXXIII. to XCI. inclusive (excepting Table LXXXIX.) with the arguments respectively written above them. The sum of the equations thus obtained diminished by 1000" is the value of B. 7. Find the remaining equations of the moon's latitude by entering Tables XCII. to CIX. inclusive with the arguments respectively written above them. The sum of the equations thus obtained, diminished by 60", and added to the sum of the products of A by sin y, and of jB by cos. y, is the moon's latitude. 8. The moon's equatorial horizontal parallax is found by entering tables CX. to CXXVII. inclusive with their respective arguments, and adding 3000" to the sum of the equations thus obtained. 9. The moon's equatorial semidiameter is found by multiplying the equatorial horizontal parallax by 0.272274, which product may be readily obtained by means of Table CXXVIII. This value is to be used for the computation of eclipses, but in the reduction of meridian observations it should be increased by 2".5 in the case of a telescope for which no special investigation has been made, or by whatever constant may be found suitable by a special investigation for each telescope. 10. Directions for the Computation of an Ephemeris. The longitude, exclusive of nuta- tion and the equation of Table LXXXIL, should be found for each successive noon ; and also the second and fourth differences of the equations for a quarter of a day from the Tables .VI." to XXI.IV inclusive. If then the following notation is adopted, «, = the longitude for the time t in days, exclusive of nutation and the equation of Table LXXXIL A, = the sum of all those equations for which tables of second differences are given. A', = the sum of all those equations for which tables of second differences are not given. B, = the sum of all the tabular second differences from those tables for which tables of fourth differences are given. B't == the sum of all the tabular second differences from those tables for which tables of fourth differences are not given. B", = B,+ B',. C, = the sum of all the tabular fourth differences for all the equations for which they are given. A" V, = the nth differences of the series of n + 1 numbers V, _ | „ + j, V, _ j „ + !, &c.., of which the first corresponds to the date preceding the date t by | n days, and the last cor- responds to the date which follows the date t by \ n days, and the intermediate numbers are at intervals of a quarter of a day apart. A" V, = the nth quarter difference of the values of the n -f- 1 numbers of which the first corresponds to the date which precedes the date t by i n days, and the last corresponds to the date which follows the date t by $ n days, the intermediate numbers 12 IXTHODUOTIOX. occurring at intervals of a day. In taking these quarter differences, all the terms of each order of difference are to be divided by four, before their quarter differences are obtained in the same way. In the following computations it will be sufficiently accurate to put A' V, = A« F,, A» V, = A'3 F, — J A" F,. Find for each noon and interpolate by differences for every six hours A* M, = C, + A' Bt + A« A't — 1". Test the accuracy of Bt by the formula A' B,= c.-fjA'C,— 1". Find for each noon A' w, = B", + A' A', — 130". Find for each day and for the instant fths of a day after the noon A' K/+, = A JB", + t -f A' A't + t + j A4 «,+i. Interpolate the remaining third differences of ut by means of the fourth differences, being careful to adopt a judicious distribution of the small changes which are required in the fourth differences to accomplish this interpolation. Interpolate the second differences of ut with a similar regard to changes of the third differences. Test the accuracy of A, by the formula A» A, = B", + 1 c, + | A" B'( — 130", Find for each day and the instant f ths of a day after the noon A «, + , = 3° 1058".757 + A At + t + A A',+t + J A3 vl+t — J A« u, + J. Interpolate the first differences of u, by the aid of the second differences, and by them interpolate the values of ut. The values of y should be obtained for each quarter of a day, and thence the equations from Table LXXXII. The various terms of the latitude and horizontal parallax need only be found for each noon, except A. sin y, which, after the interpolation of A., should be computed for each quarter of a day. 11. Example. Find the moon's longitude, latitude, equatorial horizontal parallax for the date B. C. 413, August 27, at 6 o'clock in the afternoon, mean solar time at Athens. Solution. The western longitude of Athens from Washington being 17b> 16m- 53'-, the given date is in Washing- ton time — 413 August 26d 23b- 16"1- 53'-. This is reduced to the Julian date in days by Tables la., 15., and Ic. — 500 years is in Julian date in days 1538798. 13 B. 31777. Aug. 26 238. 23"- 0.958333333 16-- 0.011111111 „ 53* 0.000613426 —413 Aug. 26d- 23"- 16ra- 53" 1570813.970057870 By substituting 2400000 for the 1500000, the date becomes 2470813.970057870. whence from Tables II. to V. inclusive the arguments are obtained as follows : 13 INTRODUCTION. y-u ARGUMENT 1. 3. From Table 116., for 2470000, Correction X .81397, From Table JIIn., or the excess of date, From Table IV. for I.'.IMH. Accented No. X 70813.97, Doubly accented Xo. X (70813.97)*, Correction from Table Va., Correction from Table V4., Greatest Multiple of Period for Subtraction, Mean Longitude or Argument for date, 22 2502.58 1.29 285 6'.i2.C,o 4 27i is. s:; —1035.81 —4.94 312 12C4.55 43 •2-20 T.-.s.:, —0.9 370.1 1207.8 730.4 3.2 35 3069.1 10.9057714 1142 813.971 " i;,7'.i 14.9092:><>6 —5031 335 16989 826.6365734 13.0588844 21.243406 —58 813.9701 i:,,x 22.915317 57954 840 C,l 1202 827.110329 31.077951 8.500660 263 813.97(1058 3.859920 —80960 —112 30 1048 797.325876 28.985031 ARGUMENT 4. 6. 9. 10. From Table II*., for 2470000, Correction X .81397, The excess of date, From Table IV., Accented No. X 70813.97, Doubly ace. No. X (70813.97)", Correction from Table Va., Correction from Table V6., Or. Mult, of Period for Subtr., Argument for date, 281.3878 0 813.9701 365.1 2" 76 0 0 0 0 1095.7791 364.7064 316.3339 13 813.9701 168.9847 —1.0665 —60 0 0 1235.3555 62.8620 5.6456 0 813.9701 25.1207 656 8 0 11 836.3254 8.4785 9.8725 0 813.9701 7.7149 —454 —2 0 10 826.7797 4.2882 4.7758 0 813.9701 4.0279 —219 — 1 0 11 815.5275 7.225 1 26.1947 0 813.9701 16.1365 —984 —5 0 10 834.4791 21.7243 23.6165 0 813.97IH 13.8541 —846 —5 1 8 845.51(50 5.8405 ARGUMENT 1 1. 12. 13. 14. 15. 16. IT. From Table 116., for 2470000, The excess of date, From Table IV., Ae,-ei,ted N'o. X 70813.97, Doubly ace. No. X (70813.97)', Correction from Table Vc., Correction from Table V6., Gr. Mult, of Period for Subtr., Argument for date, 0.9587 813.9701 19.0676 761 4 0 9 833.2270 0.8468 20.6699 813.9701 171.4161 1642 G93.2KI2 312.9810 3.2232 813.9701 9.9006 51 0 0 11 826.9369 0.1632 5.760 818.970 21.068 59 0 0 0 819.872 21.485 5.5ft 8 i:i.97o 3.704 —21 0 0 0 823.113 0.117 4.981 813.970 9.575 —61 0 0 0 826.743 •1.672 15.347 813.970 3.560 —21 0 0 0 819.656 13.206 ARGUMENT i§. 19. 2O. 21. 22. 23. 24. Fro,,, Table 116., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97. •hilt, of Period for Subtr., Argument for dat-'. 4.364 813.970 7.935 —80 819.508 6.711 3.891 813.970 8.791 —207 826.875 0.170 1.189 818.970 1.178 —101 81C,.0,S7 0.099 r.'.i.'.i I 813.97 108.02 — 73 921.70 69.50 28.372 K1.-J.970 4.212 —24 835.330 11.200 17.824 813.970 12.603 —60 882.112 12.225 1.155 81 ,".970 1.086 —!>1 .SO'.I.HCC. 6.25] 4.760 818.970 7.5 1C, —47 824.811 1.888 ARGUMENT 26. 2T. 28. 29. 30. 32. 33. From Table 116., for 2470000, Tlic exee-i of date. From Table IV.. ited No. X 70813.97, (ir. Mull, of Period for Subtr., Argument for date, 3.087 81.V.I70 0.868 —38 815.165 2.222 818.97 24.56 —16 826.44 1 2.27 24.849 818.970 27.868 —78 847.484 19.120 21.177 81.V.I70 18.084 — 149 is:, i .s:,:, 1.527 1.760 8l:!.i»70 10.188 :, 819.804 6.618 9.15 813.97 18.08 2 826.98 !i. 1 9 ll.ol 813.97 7.35 7 881.51 0.89! 15.84 818.97 1 7.58 —12 648.72 3.05 Ai:«,rMi.\r 35. 36. 37. 39. 40. 41. Table 1 1/,., tor -..'170000, The exee-- .,)' date. Froa, Table IV.. it.-d No. / 7"Si:;.«.»7. ( ir. .Mult, of Period for Sublr.. Argument for date. 25.51 81897 i '.'.:> I 6 19.17 18.42 818.97 L2.98 — 8 887.98 7.2(1 12.65 818.97 9.22 f *-_':;. i:i 12.66 86.4 814.0 88.9 3 L9.S 17.71 818.97 2.17 —10 826.7 1 7.04 18.1 81 1.0 10.7 —2 827.4 10.2 ] C.2C, 818.97 4.65 II 829. 1 2 5.87 7.85 818.97 L89 11 824.2H 1 .5 1 INTRODUCTION. ARGUMENT 42. 43. 44. 45. 46. 47. 4§. 49. From Table II J., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 4.08 813.97 8.11 —5 821.98 4.13 3.31 813.97 9.77 —6 814.12 12.87 0.5 814.0 8.2 0 820.3 2.4 6.42 813.97 11.54 0 828.10 3.83 5.3 814.0 20.4 0 812.4 27.3 11.98 813.97 3.54 0 819.69 9.80 26.58 813.97 1.51 —12 838.16 3.78 2.2 814.0 1.2 0 816.8 0.6 ARGUMENT SO. 51. 52. 53. 54. 55. 56. 57. From Table 115., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 20.9 814.0 17.6 0 851.2 1.3 8.23 813.97 7.20 —4 819.76 9.60 16.97 813.97 3.04 0 832.64 1.34 15.27 813.97 116.22 12 940.32 5.26 5.10 813.97 3.93 0 813.77 9.23 12.40 813.97 9.63 0 824.35 11.65 12.36 813.97 3.25 0 826.40 3.18 2.93 813.97 10.20 0 815.40 11.70 ARGUMENT 58. 59. 6O. 61. 62. 63. 64. 65. From Table Hi., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 11.51 813.97 6.71 0 823.08 9.11 32.28 813.97 28.49 0 857.21 17.53 14.74 813.97 11.84 0 825.90 14.65 0.26 813.97 3.40 0 816.37 1.26 7.82 813.97 11.09 0 823.19 ' 9.69 0.35 813.97 8.73 0 818.00 5.05 20.93 813.97 19.88 0 827.82 26.96 12.82 813.97 3.83 0 824.95 5.67 ARGUMENT 66. 67. 68. 69. 7O. 71. 72. 73. From Table 116., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 26.4 814.0 5.1 0 818.7 26.8 27.20 813.97 4.21 —8 823.30 22.00 6.94 813.97 25.69 —11 830.00 16.49 281.5 814.0 387.5 —26 1415.7 64.7 61.7 814.0 0.4 —3 659.6 216.2 201.5 814.0 406.6 0 1167.8 254.3 179.3 814.0 281.4 0 1196.7 78.0 1231.1 814.0 184.3 7.2 2190.2 46.4 ARGUMENT 74. 75. 76. 78. 79. 8O. 81. 82. From Table 116., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 1691 814 1905 9 3233 1186 54809 814 32286 0 84753 3156 77263 814 52991 0 95490 35578 60.489 813.970 170.305 —.427 941.008 103.329 282.2 814.0 401.3 0 1315.1 182.4 68.3 814.0 26.2 0 626.1 282.4 14.23 813.97 112.35 —28 869.43 70.84 10.000 813.970 2.633 0 817.603 9.000 ARGUMENT 83. 84. 85. 86. 87. 88 89. 9O. From Table IB., for 2470000, The excess of date, From Table IV., Accented No. X 70813.97, Gr. Mult, of Period for Subtr., Argument for date, 12.80 813.97 24.97 0 823.44 28.30 17.33 813.97 8.28 0 823.17 16.41 9.53 813.97 14.44 0 823.18 14.76 24.78 813.97 31.21 842.22 27.74 1.01 813.97 4.82 0 809.87 9.93 4.42 813.97 5.08 0 821.32 2.15 1.92 813.97 4.68 0 811.11 9.46 15.3 814.0 20.4 0 839.3 10.4 HE-NCE: Arg. 12' = 139.6709 Arg. 73' = 220.2 Arg. 1' = 19.95 Arg. 12" = 96.3434 Arg. 73" = 367.8 Arg. 70' = 133.7 Arg. 48'= 12.49 Arg. 73'"= 94.0 Arg. 5' = 114.33 Arg. 12'" =292.9810 Arg. 53' = 93.42 15 INTRODUCTION. TABLE. EQUATION. TABLE. EQUATION. TABLE. A. R VI. 45193.81 XLV. 0.04 LXXXIII. 1359.62 72f>!'75 VII. 71.73 XLVI. 0.02 LXXXIV. 0.72 31.78 VIII. 1655.54 XLVII. 0.04 I.XXXV. 26.83 43.0'J IX. 1340.46 XLVIII. 0.13 LXXXVI. 1.07 0.01 X. 206.06 XLIX. 0.26 LXXXVII. 13.42 20.11 XI. 176.80 L. 0.04 LXXXVIII. 40.00 XII. 360.58 LI. 0.40 LXXXIX. 6.66 XIII. 823.57 LII. 2.59 xc. 0.00 4.73 XIV. 170.69 LIII. 0.25 XCI. 2.00 XV. XVI. XVII. 130.22 169.81 45.31 LIV. LV. LVI. 0.22 0.41 0.01 1 Constant, A 17600. = 19008.32 B —1000. = — 131.93 XVIII. 4.56 LVII. 0.92 XIX. XX. 23.67 48.53 LVIII. LIX. 5.14 2.16 TABLE. EQUATION. TABLE. EQUATION. V YT 07 ZA T X fl J.'i JVJV1. XXII. XXIII. XXIV. XXV. XXVI. XXVII. XXVIII. XXIX. XXX. XXXI. Ot .Jt 34.12 20.49 25.40 0.51 0.00 10.81 0.02 0.45 4.33 3.16 .IJ.A.. LXI. LXII. LXIII. LXIV. LXV. LXVI. LXVII. LXVIIL LXIX. LXX. l/.^tt* 1.39 0.55 0.03 0.04 0.38 0.30 0.59 0.10 0.20 0.36 XCII. XCIII. XCIV. xcv. XCVI. XCVII. XCVIII. XCIX. c. 31.50 7.!IO 0.67 0.23 0.11 0.77 3.44 0.87 0.90 CI. CII. cm. CIV. cv. CVI. CVII. cvm. CIX. 0.98 0.47 0.39 0.00 0.00 0.39 0.26 5.50 15.79 XXXII. 1.78 LXXI. 0.13 Constant, —CO. XXXIII. 14.92 LXXII. 0.10 Sum, 10.17 XXXIV. 0.49 LXXIII. 1.19 A sin y, 714.C2 X XXV. 2.05 LXXIV. 4.40 Bcosy, — 18L88 XXXVI. 0.16 LXXV. 2.93 3>'s Latitude = -V.i2.96 xxxvn. 0.13 LXXVI. 1.49 = 9' 52.96 XXXVIII. 0.02 LXXVII. 1.33 XXXIX. 0.03 LXXVIII. 1.55 EQUATION. TABLE. XL. 2.38 LXXIX. 0.50 TABLE. EQUATION. XLI. 1.35 LXXX. 31.26 XLII. 0.99 I.XXXI. 81.62 i XLIII. 0.56 LXXXL4. —4.52 cx 867".08 CXXII I. 0.17 XLIV. 0.73 CXI. 57.27 CXXIV. <>.<•:; CXII. 28.73 cxxv. d.l 1 CXIII. 2.88 CXXVI. 0.08 CXIV. 4.57 CXXVII. 0.01 cxv. 2.51 CXXVIII. 0.0'J CXVI. 0.02 ('XX IX. (1.07 Sum of Equations of Longitude, 0 50222.76 or, 18 3422.76 Mean Longitude, 312 12C I..V, Longitude in Orbit, 326 1087.31 y — u, 35 3069.1 y, 2 556.4 CXVII. ' CXVIII. CXIX. (XX. (XXI. CXXII. 0.02 0.67 0.31 0.46 0.42 0.21 (XXX. ('XXXI. CXXXII. (XXXIII. CXXXIV. (MHi 0.11 0.40 0.68 0.01 Table LXXXII., —31.33 Constant, 3000. Nutation of Equinox, 10.54 sin j)'s Horizontal Parallax = 8466.95 u = true Longitude = 326 1066.52 Table CXXXV., 0.16 }>'s Horizontal Parallax, 3467.11 i 16 TABLE la. Dute of Jan. 0 in Common Years, and of Jan. 1 in Bissextile Years. Year. Dale in Mean .Solar Days. Year. Date in Mean Solar Days. YEA : IN THE CENTURY. Days from previous Centennial Date. YEAR IN THE CKNTURY. Days from previous Cen- tennial Date. If Negative. If Positive. If Negative. If Positive. —47 135. 0 —1000 1356173 100 1 0 50 51 18262 —4712 365 — 900 1392698 99 2 365 495. 525. 18628 —4711 730 — 800 1429223 as 3 730 48 53 18993 —4710 1095 — 700 1465748 975. 45. 1096 47 54 19358 —47095. 1461 — 600 1502273 96 5 1461 46 55 19723 —4708 1826 — 500 1538798 95 6 1826 455. 565. 20089 —4707 s. 2191 — 400 1575323 94 7 2191 44 57 20454 — 1706 2556 — 300 1611848 935. 85. 2557 43 58 20819 — 47055 2922 — 200 1648373 92 9 2922 42 59 21184 —4704 3287 — 100 1684898 91 10 3287 415. 605. 21550 —4703 3652 1 1721423 90 11 3652 40 61 21915 —4702 4017 101 1757948 895. 125. ' 4018 39 62 22280 —47015. 4383 201 1794473 88 13 4383 38 63 22645 —4700 4748 301 1830998 87 14 4748 375. 645. 23011 — 4600 41273 401 1867523 86 15 5113 36 65 23376 —4500 77798 501 1904048 855. 165. 5479 35 66 23741 —4400 114323 601 1940573 84 17 5844 34 67 24106 — 4300 150848 701 1977098 83 18 6209 335. 685. 24472 —4200 187373 801 2013623 82 19 6574 32 69 24837 —4100 223898 901 2050148 815. 205. 6940 31 70 25202 —4000 ^ 260423 1001 2086673 80 21 7305 30 71 25567 —3900 296948 1101 2123198 ' 79 22 7670 295. 725. 25933 —3800 333473 1201 2159723 78 23 8035 28 73 26298 —3700 369998 1301 2196248 775. 245. 8401 27 74 26663 —3600 406523 1401 2232773 76 25 8766 26 75 27028 —3500 443048 1501 2269298 75 26 9131 255. 765. 27394 —3400 479573 1583 2299238 74 27 9,496 24 77 27759 —3300 516098 1584B. 2299604 735. 285. 9862 23 78 28124 —3200 552623 1585 2299969 72 29 10227 22 79 28489 —3100 589148 1586 2300334 71 30 10592 215. 805. 28855 —3000 625673 1587 2300699 70 31 10957 20 81 29220 —2900 662198 15885. 2301065 695. 325. 11323 19 82 29585 —2800 698723 1589 2301430 68 33 11688 18 83 29950 —2700 735248 1590 2301795 67 34 12053 175. 845. 30316 — 2.600 771773 1591 2302160 66 35 12418 16 85 30681 —2500 808298 15925. 2302526 655. 365. 12784 15 86 31046 —2400 844823 1593 2302891 64 37 13149 14 87 31411 —2300 881348 1594 2303256 63 38 13514 135. 885. 31777 —2200 917873 1595 2303621 62 39 13879 12 89 32142 —2100 954398 15965. 2303987 615. 405. 14245 11 90 32507 —2000 1090923 1597 2304352 60 41 14610 10 91 32872 —1900 1127448 1598 2304717 59 42 14975 95. 925. 33238 — 1800 1163973 1599 2305082 58 43 15340 8 93 33603 —1700 1200498 16005. 2305448 575. 445. 15706 7 94 33968 —1600 1237023 1601 2305813 56 45 16071 6 95 34333 —1500 1273548 1701 2342337 55 46 16436 55. 965. 34699 — 1400 1210073 1801 2378861 54 47 16801 4 97 35064 — 1300 1246598 1901 2415385 535. 485. 17167 3 98 35429 —1200 1283123 52 49 17532 2 99 35794 —1100 1319648 51 50 17897 15. 1005. 36160 —1000 1356173 50 51 18262 100 36159 17 TABLE Ib. Number of Days from Jan. 0 in Common Tears, and Jan. 1 in Bissextile Years. 15§S. JANUARY. FEBRUARY. 1 H i n Bj tl 3 & fi H a Da/ Com- BWn Com- Bissex- 9) 1 J ^ M ,j o 1 8 t* 9 n S u S of mon tile mon tile cu 2j g t^ 8 B ^ 0 B R o a Month. Year. Year. Year. Year. H o 55 Q o K s 1 1 0 32 31 60 91 121 152 182 213 244 274 305 335 274 295 325 2 2 1 33 32 61 92 122 153 183 214 245 275 306 336 275 296 326 3 3 2 34 33 62 93 123 154 184 215 246 276 307 337 276 297 327 4 4 3 35 34 63 94 124 155 185 216 247 277 308 338 277 298 328 5 5 4 36 35 64 95 125 156 186 217 248 278 309 339 299 329 6 6 5 37 36 65 96 126 157 187 218 249 279 310 340 300 330 7 7 6 38 37 66 97 127 158 188 219 250 280 311 341 301 331 8 8 7 39 38 67 98 128 159 189 220 251 281 312 342 302 W> 9 9 8 40 39 68 99 129 160 190 221 252 282 313 343 303 333 10 10 9 41 40 69 100 130 161 191 222 253 283 314 344 304 334 11 11 10 42 41 70 101 131 162 192 223 254 284 315 345 305 335 12 12 11 43 42 71 102 132 163 193 224 255 285 316 346 306 33() 13 13 12 44 43 72 103 133 164 194 225 256 286 317 :t i? 307 337 14 14 13 45 44 73 104 134 165 195 226 257 287 318 348 308 338 15 15 14 46 45 74 105 135 166 196 227 258 288 319 349 278 309 339 16 16 15 47 46 75 106 136 167 197 228 259 289 320 350 279 310 340 17 17 16 48 47 76 107 137 168 198 229 260 290 321 351 280 311 341 18 18 17 49 48 77 108 138 169 199 230 261 291 322 352 281 312 312 19 19 18 50 49 78 109 139 170 200 231 262 292 323 353 282 313 343 20 20 19 51 50 79 110 140 171 201 232 263 293 324 354 283 314 344 21 21 20 52 51 80 111 141 172 202 233 264 294 325 355 284 315 345 22 22 21 53 52 81 112 142 173 203 234 265 295 326 35(5 285 316 346 23 23 22 54 53 82 113 143 174 204 235 266 296 327 357 286 317 :U7 24 24 23 55 54 83 114 144 175 205 236 267 297 328 358 287 318 348 25 25 24 56 55 84 115 145 176 206 237 268 298 329 359 288 319 349 26 26 25 57 56 85 116 146 177 207 238 269 299 330 360 289 320 350 27 27 26 58 57 86 117 147 178 208 239 270 300 :{.'( l 361 290 321 35 1 28 28 27 59 58 87 118 148 179 209 240 271 301 :!.'(-,; 862 291 322 352 29 29 28 59 88 119 149 180 210 241 272 302 333 :»;:( 292 323 :{;-,:< 30 30 29 89 120 150 181 211 242 273 303 334 364 293 324 354 31 31 30 90 151 212 243 304 365 294 355 t 18 TABLE lc. To Reduce Hours, Minutes, and Seconds of Time to Decimals of a Day. Hours an.l Minutes. Decimal of a Day. Minutes. Decimal of a Day. Minutes and Seconds. Decimal of a Day. Seconds. Decimal of a Day. h. m. m. s. 1 .041666667 13 .009027778 50 .034722222 23 .000266204 2 .083333333 14 .009722222 51 .035416667 24 .000277778 3 .125000000 15 .010416667 52 .036111111 25 .000289352 4 .166666667 16 .011111111 53 .036805556 26 .000300926 5 .208333333 17 .011805556 54 .037500000 27 .000312500 6 .2.50000000 18 .012500000 55 .038194444 28 .000324074 7 .291666667 19 , .013194444 56 .038888889 29 .000335648 8 .333333333 20 .013888889 . 57 .039583333 30 .000347222 9 .375000000 21 .014583333 58 .040277778. 31, .000358796 10 .416666667 22 .015277778 59 .040972222 32 .000370370 11 .458333333 23 .015972222 60 .041666667 33 .000381944 12 .500000000 24 .016666667 34 .000393519 13 .541666667 25 .017361111 35 .000405093 14 .583333333 26 .018055556 36 .000416667 15 .625006000 27 .018750000 37 .000428241 S. 16 .666666667 28 .019444444 I .000011574 38 .000439815 17 .708333333 29 .020138889 2 .000023148 39 .000451389 18 .750000000 30 .020833333 3 .000034722 40 .000462963 19 .791666667 31 .021527778 4 .000046296 41 .000474537 20 .833333333 32 .022222222 5 .000057870 42 .000486111 21 .875000000 33 .022916667 6 .000069444 43 .000497685 22 .916666666 34 .023611111 7 .000081019 44 .000509259 23 .958333333 35 .024305556 8 .000092593 45 .000520833 24 1.000000000 36 .025000000 9 .000104167 46 .000532407 37 .025694444 10 .000115741 47 .000543981 ni. i .000694444 38 .026388889 11 .000127315 48 .000555556 2 .001388889 39 .027083333 12 .000138889 49 .000567130 3 .002083333 40 .027777778 13 .000150463 50 .000578704 4 .002777778 41 .0-28472222 14 .000162037 51 .000590278 5 .003472222 42 .029166667 15 .000173611 52 .000601852 6 .004166667 43 .029861111 16 .000185185 53 .000613426 7 .001861111 44 .030555556 17 .000196759 54 .000625000 8 .005555556 45 .031250000 18 .000208333 55 .000636574 9 .006250000 46 .031944444 19 .000219907 56 .000648148 10 .006944444 47 .032638889 20 .000231481 57 .000659722 11 .007638889 48 .033333333 21 .000243056 58 .000671296 12 .008333333 49 .031027778 22 .000254630 59 .000682870 13 .009027778 50 .034722222 23 .000266204 60 .000694444 19 TABLE II«. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. juiuMod. ii u' y-u (y-u') ARG. 1. I'. 8. «'. 0.000 0.000 2300000 315 909.18 It -1.34 130 248.9 +0.9 22.4927509 —1188 24.229050 +079 2301000 171 2335.93 1.32 183 83.5 0.9 2.9741917 1173 6.247185 078 2302000 28 162.69 1.30 235 3518.1 0.9 11.0101863 1158 20.077254 077 2303000 244 1589.47 1.29 288 3352.7 0.9 19.0461825 1143 2.095387 076 2304000 100 3016.27 1.27 341 3187.2 0.9 27.0821802 1128 15.925454 075 2305000 317 843.09 1.26 34 3021.8 0.9 7.5636269 1113 29.755521 074 2306000 173 2269.92 1.24 87 2856.4 0.8 15.5996276 1097 11.773650 073 2307000 30 96.77 1.22 140 2690.9 0.8 23.6356298 1082 25.603715 072 2308000 246 1523.64 1.21 193 2525.4 0.8 4.1170810 1067 7.62 1843 071 2309000 102 2950.52 1.19 246 2359.9 0.8 12.1530862 1052 21.451905 070 2310000 319 777.42 1.17 299 2194.4 0.8 20.1890929 1037 3.470031 069 2311000 175 2204.34 1.15 352 2028.9 0.8 0.6705487 1022 17.300092 068 2312000 32 31.27 1.13 45 1863.4 0.8 8.7065584 1007 31.130151 067 2313000 248 1458.23 1.12 98 1697.8 0.8 16.7425697 0992 13.148273 066 2314000 104 2885.19 1.10 151 1532.3 0.8 24.7785824 0977 26.978331 065 2315000 321 712.18 1.09 204 1366.7 0.8 5.2600442 0962 8.996451 064 2316000 177 2139.18 1.07 257 1201.1 0.7 13.2960600 0946 22.826507 063 2317000 33 3566.20 1.05 310 1035.6 0.7 21.3320773 0931 4.844626 062 2318000 250 1393.24 1.04 3 870.0 0.7 1.8135436 0916 18.674680 061 2319000 106 2820.29 1.02 56 704.4 0.7 9.8495639 0901 0.692797 060 2320000 323 647.37 1.00 109 538.6 0.7 17.8855856 0886 14.522848 059 2321000 179 2074.45 0.98 162 373.0 0.7 25.9216089 0871 28.352899 058 2322000 35 3501.56 0.96 215 207.4 0.7 6.4030813 0856 10.371013 057 2323000 252 1328.68 0.95 268 41.7 0.7 14.4391077 0841 24.201061 056 2324000 108 2755.82 0.93 320 3476.0 0.7 22.4751355 0826 6.219173 055 2325000 325 582.98 0.92 13 3310.4 0.7 2.9566124 0811 20.049220 .054 2326000 181 2010.15 0.90 66 3144.7 0.6 10.9926433 0795 2.067329 053 2327000 37 3 137.31 0.88 119 2979.0 0.6 19.0286756 0780 15.897374 052 2328000 254 1264.55 0.87 172 2813.2 0.6 27.0647095 0765 29.727418 051 2329000 110 2691.77 0.85 225 2647.5 0.6 7.5461925 0750 11.745524 050 2330000 327 519.02 0.83 278 2481.8 0.6 15.5822294 0735 25.575566 049 2331000 183 1946.28 0.81 331 2316.0 0.6 23.6182678 0720 7.593* 171 048 2332000 39 3373.55 0.79 24 2150.3 0.6 4.0997553 0705 21.423711 047 2333000 256 1200.85 0.78 77 1984.5 0.6 12.1357967 0690 3.441814 046 2334000 112 2628.16 0.76 130 1818.7 0.6 20.1718397 0675 17.271851 015 2335000 329 455.48 0.75 183 1652.9 0.6 0.6533317 0660 31. 10 ISSN 044 233<;ooo 185 1882. s:» 0.73 236 1IS7.I 0.5 8.68!):t777 0644 13.11!i!>ss 0 13 •-2:07000 41 3310.19 0.71 289 1321.3 0.5 16.7254252 0629 26.950023 012 2888000 258 1137.57 0.70 3J2 1155.4 0.5 24.7614742 0614 8.96812] 041 2339000 114 2564.96 0.68 35 989.6 0.5 5.2429723 0599 22.798153 040 •^:!IOOOO 331 392.38 0.66 88 823.7 0.5 13.2790243 0584 4.816249 039 8841000 187 IMii.sl 0.64 141 657.8 0.5 21.315077N 0569 18.6102SO 038 23 12000 43 3247.25 0.62 194 491.9 0.5 1.7965804 055 1 0.66 1373 037 3848000 260 1071.72 0.61 247 326.0 0.5 9.8326370 0538 14.494402 036 234 1000 116 2502.20 0.59 300 160.1 0.4 17.8686951 0523 28.324430 035 23 15000 333 329.70 0.58 352 3594.2 0.4 25.9047547 0508 10.342521 034 23 IfiOOO 189 1757.21 0.56 45 3428.3 0.4 6.3862634 0493 24. 1725 Hi 033 23 17000 45 31S1.75 0.54 98 3202.3 0.4 14.422326 1 0478 6.190035 032 2348080 262 1012.30 0.53 151 3096.3 0.3 22.4583902 0462 20.02065!) 031 2849000 us 2i3!>. MI 0.51 204 2930.4 0.3 2.9399035 0447 2.038746 030 3850000 335 207. 15 -0.49 257 2764.4 +0.3 10.9759706 -0432 15.868767 +029 20 TABLE Ha. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. juiianPeriod. u u' y-u (y-u') ARG. 1. 1'. 2. 2'. 0.000 0.000 O II If O ft II d. d 2350000 335 267.45 -0.49 257 2764.4 +0.3 10.9759706 -0432 15.868767 +029 2351000 191 1695.05 0.47 310 2598.4 0.3 19.0120393 0417 29.698788 028 2352000 47 3122.67 0.45 3 2432.4 0.3 27.0481095 0402 11.716872 027 2353000 264 950.30 0.44 56 2266.4 0.3 7.5296288 0387 25.546891 026 2354000 120 2377.96 0.42 109 2100.3 0.3 15.5657021 0372 7.564973 025 2355000 337 205.63 0.41 162 1934.3 0.3 23.6017769 0357 21.394990 024 2356000 193 1633.31 0.39 215 1768.2 0.2 4.0833007 0341 3.413069 023 2357000 49 3061.02 0.37 268 1602.2 0.2 12.1193785 0326 17.243084 022 2358000 266 888.74 0.36 321 1436.1 0.2 20.1554579 0311 31.073098 021 2359000 122 2316.48 0.34 14 1270.0 0.2 0.6369863 0296 13.091175 020 2360000 339 144.23 0.32 67 1103.9 0.2 8.6730686 0281 26.921186 019 2361000 195 1572.01 0.30 120 937.8 0.2 16.7091525 0266 8.939261 018 2362000 51 2999.80 0.28 173 771.6 0.2 24.7452379 0251 22.769271 017 2363000 268 827.60 0.27 226 605.5 0.2 5.2267724 0235 4.787344 016 2364000 124 2255.43 0.25 279 439.3 0.2 13.2628608 0220 18.617351 015 2365000 341 83.27 0.24 332 273.2 0.2 21.2989508 0205 0.635422 014 2366000 197 1511.13 0.22 25 107.0 0.1 1.7804898 0190 14.465428 013 2367000 53 2939.00 0.20 77 3540.8 0.1 9.8165828 0175 28.295432 012 2368000 270 766.90 0.19 130 3374.6 0.1 17.8526773 0159 10.313500 Oil 2369000 126 2194.81 0.17 183 3208.4 0.1 25.8887734 0144 24.143503 010 2370000 343 22.73 0.15 236 3042.2 0.1 6.3703184 0129 6.161569 009 2371000 199 1450.68 0.13 289 2875.9 0.1 14.4064175 0114 19.991569 oca 2372000 55 2878.64 0.11 342 2709.7 0.1 22.4425181 0099 2.009633 007 2373000 272 706.62 0.10 35 2543.4 0.1 2.9240678 0083 15.839632 006 2374000 128 2134.62 0.08 88 2377.2 0.1 10.9601715 0068 29.669629 005 2375000 344 3562.63 0.06 141 2210.9 +0.1 18.9962766 005^ 11.6876^0 004 2376000 201 1390.66 0.04 194 2044.6 0.0 27.0323833 0037 25.517686 003 2377000 57 2818.71 0.02 247 1878.3 0.0 7.5139391 0022 7.535745 002 2378000 274 646.77 -0.01 300 1711.9 0.0 15.5500488 -0007 21.365738 +001 2379000 130 2074.85 -i-O.Ol 353 1545.6 0.0 23.5861601 +0008 3.383795 000 2380000 316 3502.95 0.03 46 1379.2 0.0 4.0677201 0021 17.213787 -001 2381000 203 1331.07 0.05 99 1212.9 0.0 12.1038347 0039 31.043777 002 2382000 59 2759.20 0.07 152 1046.5 0.0 20.1399505 0054 13.061831 003 2383000 276 587.35 0.08 205 880.1 0.0 0.6215154 0070 26.891820 004 2384000 132 2015.52 0.10 258 713.7 0.0 8.6576343 0085 8.909872 005 2385000 348 3443.71 0.11 311 547.3 0.0 16.6937547 0100 22.739858 006 2386000 205 1271.91 0.13 4 380.9 -0.1 24.7298766 0115 4.757908 007 2387000 61 2700.13 0.15 57 214.5 0.1 5.2114476 0130 18.587893 008 2388000 278 528.37 0.16 110 48.0 0.1 13.2475726 0146 0.605940 009 2389000 134 1956.62 0.18 162 3481.6 0.1 21.2836990 0161 14.435923 010 2390000 350 3384.89 0.20 215 3315.1 0.1 1.7652747 0176 28.265904 Oil 2391000 207 1213.18 0.22 268 3148.6 0.1 9.8014042 0191 10.283949 012 2392000 63 2641.49 0.24 321 2982.1 0.1 17.8375353 0206 24.113929 013 2393000 280 469.81 0.25 14 2815.6 0.1 25.8736679 0222 6.131972 014 2394000 136 1898.15 0.27 67 2649.1 0.2 6.3552496 0237 19.961949 015 2395000 352 3326.51 0.28 120 2482.6 0.2 14.3913852 0252 1.979990 016 2396000 209 1154.88 0.30 173 2316.1 0.2 22.4275224 0268 15.809965 018 2397000 65 2583.27 0.32 226 2149.5 0.2 2.9091087 0283 29.639940 019 2398000 282 411.68 0.33 279 1983.0 0.3 10.9452489 0299 11.657978 020 2399000 138 1840.11 0.35 332 1816.4 0.3 18.9813907 0314 25.487950 021 2400000 354 3268.55 +0.37 25 1649.8 -0.3 27.0175339 +0329 7.505986 -022 21 TABLE Ha. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. juiS^Veriod. ARG. 3. 3'. 4. S. 5'. 6. 7. 8. 9. d. 0.0000 d. d. 0.00 d. d. d. d. 2300000 16.095387 -27 127.1121 383.5901 -14 23.6328 8.7464 3.8010 21.5098 2301000 12.065368 27 31.3631 148.2332 14 13.0730 8.9197 3.6257 8.2136 2302000 8.015349 27 300.S 137 324.6615 14 2.5132 9.0931 3.4504 24.7202 2303000 3.975330 26 205.0647 89.3046 14 26.8004 9.2663 3.2750 11.4240 2304000 29.465900 26 109.2856 265.7329 14 16.2406 9.4395 3.0997 27.9306 2305000 25.425882 26 13.5065 30.3761 14 5.6808 9.6128 2.9244 14.6345 2306000 21.385865 25 282.9872 206.8044 13 29.9679 0.1724 2.7491 1.3383 2307000 17.345848 25 187.2081 383.2328 13 19.4081 0.3457 2.5738 17.8449 2308000 13.305831 24 91.4290 147.8760 13 8.8483 0.5190 2.3984 4.5487 ••>:«>9000 9.265815 24 360.9097 324.3044 13 33.1354 0.6922 2.2231 21.0554 2310000 5.225799 24 265.1306 88.9476 13 22.5756 0.8655 2.0478 7.7592 2311000 1.185783 23 169.3515 265.3761 12 12.0158 1.0388 1.8725 24.2659 2312000 26.676355 23 73.5725 30.0193 12 1.4560 1.2121 1.6972 10.9697 2313000 22.636340 23 343.0531 206.4478 12 25.7431 1.3853 1.5218 27.4763 2314000 18.596325 22 247.2741 382.8763 12 15.1833 1.5586 1.3465 14.1801 2315000 14.556311 22 151.4950 147.5196 12 4.6235 1.7319 1.1712 0.8840 2316000 10.516297 22 55.7159 323.9482 12 28.9106 1.9052 0.9959 17.3906 2317000 6.476284 21 325.1966 88.5915 11 18.3508 2.0785 0.8206 4.0945 2318000 2.436270 21 229.4175 265.0201 11 7.7910 2.2517 0.6452 20.6011 2319000 27.926845 21 133.6384 29.6635 11 32.0781 2.4250 0.4699 7.3050 2320000 23.886833 20 37.8594 206.0923 11 21.5183 2.5983 0.2946 23.8116 3831000 19.846820 20 307.3400 382.5209 11 10.9585 2.7716 15.5066 10.5154 2322000 15.806809 20 211.5609 147. Kill 10 0.3987 2.9449 15.3313 27.0221 2323000 11.766797 19 115.7819 323.5930 10 24.6858 3.1182 15.1560 13.7260 2324000 7.726786 19 20.0028 88.2365 10 14.1260 3.2915 14.9807 0.4298 2325000 3.686775 19 289.4835 264.6652 10 3.5662 3.4648 14.8053 16.9365 3826000 29.177352 18 193.7044 29.3087 10 27.8533 3.6380 14.6300 3.6403 2327000 25.137342 18 97.9253 205.7374 10 17.2934 3.8113 14.4547 20.1470 2328000 21.097332 18 2.1463 382.1662 09 6.7336 3.9846 14.2794 6.8508 2329000 17.057323 17 271.6269 146.8098 09 31.0207 4.1579 14.1041 23.3575 2330000 13.017314 17 175.8478 323.2386 09 20.4609 4.3312 13.9288 10.0613 •J.'i.-ilOOO 8.977305 16 80.0688 87.8822 09 9.9011 4.5045 13.7535 26.56SO 2882000 4.937296 16 349.5494 264.3110 09 34.1882 4.6778 13.5782 13.2719 2383000 0.897288 16 253.7703 28.!).-, 17 09 23.6283 4.8511 13.4029 29.7785 2334000 26.387869 15 157.9913 205.3835 08 13.0685 5.0244 13.2276 16.48v> I 2335000 22.347861 15 62.2122 381.8124 08 2.5087 5.1977 13.0522 3.1863 2336000 18.307854 15 331.6929 Mli. l.Vil 08 26.7958 5.3710 12.8769 19.6930 3837000 14.267847 14 235.9136 322.NS50 08 16.3860 5.6443 12.7016 6.3968 233Mioo 10.227841 14 110.1317 87.6286 08 5.6761 5.7176 12.5263 22.9035 233<)000 e.lsls:;:. 14 11.3557 263.9577 07 29.9632 5.8909 12.3510 9.6074 23 10000 2.147829 13 813.8868 28.6015 07 19.4034 6.0642 12.1757 26.1141 •j:ui(XM) 27.638413 13 218.0579 205.0305 07 8.8436 6.2375 12.0004 12.8179 2342000 23.598401 13 123.2782 381.4595 07 33.1306 6.4108 11.825) 29.3216 2843000 19.558402 12 36.4991 1 Hi. 1033 07 22.6709 6.5841 11.6498 16.0285 2344000 16.618396 12 295.9797 3v.",'. 5323 07 12.0110 6.7574 11.4745 2.732 1 2946000 11.478894 12 200.2007 87.1762 06 1.4611 6.9307 11.2991 19.2391 2846000 7.438391 11 104.4216 263.6053 06 26.7883 7.1041 11.1238 5.9429 •-i:t I7(ii HI 3.:i!is:isi 11 8.6436 28.2 192 06 15.1784 7.2774 10.0 is., 22.4-496 2348000 28 -ss97:» 11 278.1232 204.IJ7S3 06 4.6ls:> 7.4507 10.7732 9.1535 2349000 24J848970 10 182.3441 381.1074 06 28.9056 7.W 10 10.5979 25.6602 2860000 •„'(). SOS9I.M -10 86.5651 145.7514 -08 |K 3i:.7 7.7973 10.4226 12.3641 TABLE Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. juiiKiod. ARG. 3. 3'. 4. 5. 5. 6. 7. 8. 9. d. 0.0000 d. d. 0.00 d. d. d. d. 2350000 20.808968 -10 86.5651 145.7514 -05 18.3457 7.7973 10.4226 12.3641 2351000 16.768966 10 356.0457 322.1805 05 7.7859 7.9706 10.2473 28.8708 2352000 12.728965 09 260.2666 86.8245 05 32.0730 8.1439 10.0720 15.5747 2353000 8.688963 09 164.4876 263.2537 05 21.5131 8.3172 9.8967 2.2786 2354000 4.648963 08 68.7085 27.8977 05 10.9533 8.4905 9.7214 18.7853 2355000 0.608962 08 338.1891 204.3270 05 0.3934 8.6638 9.5460 5.4892 2356000 26.099550 08 242.4101 380.7562 04 24.6805 8.8372 9.3707 21.9959 2357000 22.059550 07 146.6310 145.4003 04 14.1207 9.0105 9.1954 8.6998 2358000 18.019551 07 50.8520 321.8296 04 3.5608 9.1838 9.0201 25.2065 2359000 13.979552 07 320.3326 86.4737 04 27.8479 9.3571 8.8448 11.9104 2360000 9.939553 06 224.5536 262.9030 04 17.2880 9.5304 8.6695 28.4172 2361000 5.899555 06 128.7745 27.5472 04 6.7282 0.0900 8.4942 15.1211 2362000 1.859557 06 32.9954 203.9765 03 31.0152 0.2633 8.3189 1.8250 2363000 27.350147 05 302.4760 380.4059 03 20.4554 0.4366 8.1436 18.3317 2364000 23.310150 05 206.6970 145.0501 03 9.8955 0.6100 7.9683 5.0356 2365000 19.270153 05 110.9179 321.4795 03 34.1825 0.7833 7.7930 21.5424 2366000 15.230156 04 15.1389 86.1238 03 23.6227 0.95G6 7.6177 8.2463 2367000 11.190160 04 284.6195 262.5532 02 13.0628 1.1300 7.4424 24.7530 2368000 7.150164 04 188.8404 27.1975 02 2.5030 1.3033 7.2671 11.4569 2369000 3.110169 03 93.0614 203.6270 02 26.7900 1.4766 7.0918 27.9636 2370000 28.600762 03 362.5420 380.0565 02 16.230-2 1.6499 6.9165 14.6676 2371000 24.560767 03 266.7629 144.7008 02 5.6703 1.8232 6.7412 1.3715 2372000 20.520772 02 170.9839 321.1303 02 29.9573 1.9965 6.565SJ 17.8783 2373000 16.480778 02 75.2048 85.7747 01 19.3975 2.1699 6.3906 4.5822 2374000 12.440784 01 344.6854 262.2043 01 8.8376 2.3432 6.2153 21.0889 2375000 8.400791 01 248.9064 26.8487 01 33.1246 2.5165 6.0400 7.7929 2376000 4.360798 01 153.1273 203.2783 01 22.5648 2.6899 5.8648 24.2996 2377000 0.320805 00 57.3483 379.7079 -01 12.0049 2.8632 5.6895 11.0035 2378000 25.811401 -00 326.8289 144.3524 00 1.4450 3.0366 5.5142 27.5103 2379000 21.771409 +00 231.0498 320.7820 00 25.7321 3.2099 5.3389 14.2142 2380000 17.731417 01 135.2708 85.4265 00 15.1722 3.3832 5.1636 0.9181 2381000 13.691425 01 39.4917 261.8562 00 4.6123 3.5565 4.9883 17.4249 2382000 9.651434 01 308.9723 26.5007 00 28.8993 3.7299 5.8130 4.1288 2383000 5.611444 02 213.1933 202.9305 00 18.3395 3.9032 4.6377 20.6356 2384000 1.571454 02 117.4142 379.3602 -t-01 7.7796 4.0766 4.4624 7.3395 2385000 27.062052 02 21.6352 144.0048 01 32.0666 4.2499 4.2871 23.8463 2386000 23.022062 03 291.1158 320.4346 01 21.5067 4.4232 4.1118 10.5502 2387000 18.982073 03 195.3367 85.0792 01 10.9469 4.5966 3.9365 27.0570 2388000 14.942084 03 99.5577 261.5090 01 0.3870 4.7699 3.7612 13.7610 2389000 10.902095 04 3.7786 26.1537 01 24.6740 4.9433 3.5859 0.4649 2390000 6.862107 04 273.2592 202.5835 02 14.1141 5.1166 3.4106 16.9717 2391000 2.822119 04 177.4802 379.0134 02 3.5542 5.2899 3.2353 3.6757 2392000 28.312720 05 81.7011 143.6581 02 27.8413 5.4633 3.0600 20.1824 2393000 24.272733 05 351.1817 320.0880 02 17.2814 5.6366 2.8847 6.8864 2394000 20.232746 05 255.4027 84.7327 02 6.7215 5.8100 2.7094 23.3932 2395000 16.192759 06 159.6236 261.1627 03 31.0085 5.9833 2.5341 10.0971 2396000 12.152773 06 63.8446 25.8075 03 20.4486 6.1566 2.3589 26.6039 2397000 8.112788 06 333.3252 202.2374 03 9.8887 6.3300 2.1836 13.3078 2398000 4.072802 07 237.5461 378.6674 03 34.1757 6.5033 2.0083 0.0118 2399000 0.032817 07 141.7671 143.3123 03 23.6158 6.6767 1.8330 16.5186 2400000 25.523420 -+-08 45.9880 319.7423 +03 13.0559 6.8500 1.6577 3.2226 23 TABLE lie Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. jJKod. ARG- IOt '*• I2' 13' 14' l5' 16' l7' 2300000 23.5709 6.1437 211.1477 9.3568 a. 25.412 6.884 0.887 10.837 2301000 24.3246 11.6470 171.2876 0.8971 1.197 13.471 2.544 27.256 2302000 25.0784 17.1501 131.4274 2.5220 6.246 5.866 4.751 16.355 2303000 0.2104 22.6538 91.5673 4.1470 11.295 12.454 6.958 5.451 2304000 0.9642 1.2788 51.7072 5.7719 16.343 4.849 9.165 21.871 2305000 1.7179 6.7822 11.8470 7.3968 21.392 11.437 11.371 10.969 2306000 2.4716 12.2856 318.6070 9.0217 26.440 3.832 13.578 0.067 2307000 3.2254 17.7890 278.7469 0.5620 2.226 10.419 1.531 16.486 2308000 3.9791 23.2923 238.8867 2.1870 7.274 2.815 3.738 5.584 2309000 4.7329 1.9174 199.0266 3.8119 12.323 9.402 5.945 22.005 2310000 5.4866 7.4208 159.1665 5.4368 17.371 1.798 8.152 11.101 2311000 6.2403 12.9242 119.3063 7.0617 22.420 8.385 10.359 0.199 2312000 6.9941 18.4276 79.4462 8.6866 27.468 0.781 12.566 16.619 2313000 7.7478 23.9309 39.5860 0.2269 3.254 7.368 0.519 5.717 2314000 8.5016 2.5560 346.8460 1.8519 8.303 13.955 2.726 22.136 2315000 9.2553 8.0593 306.4858 3.4768 13.351 6.351 4.933 11.234 2316000 10.0091 13.5627 266.6257 5.1017 18.400 12.938 7.140 0.332 2317000 10.7629 19.0661 226.7655 6.7267 23.448 5.334 9.347 16.752 2318000 11.5166 24.5694 186.9053 8.3516 28.497 11.921 11.554 5.849 2319000 12.2704 3.1945 147.0451 9.9765 4.282 4.316 13.761 22.269 2320000 13.0241 8.6978 107.1850 1.5168 9.330 10.905 1.714 11.366 2321000 13.7779 14.2011 67.3248 3.1417 14.379 3.299 3.921 0.464 8828000 14.5316 19.7045 27.4646 4.7666 19.428 9.886 6.128 16.884 2323000 15.2854 25.2078 334.22 Hi (i.3915 24.476 2.282 8.335 5.982 2324000 16.0391 3.8329 294.3644 8.0165 0.262 8.869 10.542 22.401 2325000 16.7929 9.3362 254.5042 9.6414 5.310 1.265 12.749 11.499 2326000 17.5167 11.8396 214.6440 1.1817 10.359 7.852 0.702 0.597 2327000 18.3004 20.3429 174.7838 2.8067 15.407 0.248 2.909 17.016 2:528000 19.0542 25.8463 134.9236 4.4316 20.456 6.835 5.116 6.114 2329000 19.8079 4.4713 95.0634 6.0565 25.505 13.422 7.323 22.534 2:i:»oooo 20.5617 9.9746 55.2032 7.6814 1.290 5.817 9.530 11.631 2331000 21.8156 15.4780 15.3130 9.3063 6.338 12.405 11.737 0.729 2332000 22.0693 20.9818 322.1029 0.8466 11.887 4.800 13.944 17.149 2333000 22.N23 1 26.4847 282.2 127 2.4715 16.435 11.388 1.897 6.247 2334000 23.5768 5.1097 2 12.3S2.-. 4.0965 21.484 3.785 4.104 22.666 •885000 24.3306 10.6130 202.5223 5.7214 26.532 10.370 6.311 11.7(11 2336000 25.0844 16.1M4 162.6621 7.8463 2.318 2.766 8.518 0.862 3887000 0.2164 21.6197 122.8018 8.9713 7.366 9.355 10.725 17.282 2888600 0.9702 0.2447 82.9416 0.5116 12.415 1.749 13.983 6.379 •-J339000 l.794t 5.7481 43.0814 2.1365 17.464 8.336 0.885 22.799 23 10000 2^778 11.2513 3.2212 3.7614 22.512 0.732 3.092 11.897 2:iilOOO 3.28W 16.7547 309.9811 5.386U 27.560 7.818 5.299 0.995 3849000 8.98S4 22.25SO 270.] -JO!) 7.0112 &346 13.906 7.506 17.414 2:u:t 4.7392 O.NS30 230.2606 s.(i:i(ii s.3!ii 6.802 9.713 6.512 2:! 11000 5. mo 6.8Kti3 190.4004 0.1764 13.443 12.889 11.920 22.932 9845000 <;.2Ki7 11.8MI7 150.5102 1.8013 18.491 5.285 14.127 12.029 2846000 7.0005 17.3930 110.li7!l!l &4S68 23.540 11.893 2.080 1.127 8847000 7.7.r)i:< 22>!Mi:i 70.8197 r>.o:,i2 28.588 4.267 4.287 17.547 3848000 -.,()>! 1.5213 30.9594 6.6761 4.375 10.855 6.494 6.645 9848000 !i.2 33t 33> 34< 35< 2300000 it 15.42 22.494 32.009 2.076 d. 14.53 d. 4.53 23.94 d. 5.18 8.26 2301000 8.19 20.922 16.336 6.466 3.78 6.72 17.97 2.75 2.69 2302000 0.96 19.350 0.662 0.486 8.34 8.91 12.00 0.32 21.06 2303000 19.56 17.778 17.753 4.877 12.91 11.10 6.04 24.98 15.48 2301000 12.33 16.205 2.080 9.267 2.15 13.29 0.07 22.55 9.91 2305000 5.10 14.633 19.171 3.287 6.71 15.48 26.55 20.12 4.34 230GOOO 23.70 13.061 3.497 7.678 11.28 1.04 20.58 17.69 22.70 2307000 16.47 11.488 20.588 1.697 0.52 3.23 14.61 15.26 17.13 2308000 9.24 9.916 4.915 6.087 5.09 5.42 8.65 12.83 11.56 2309000 2.01 8.344 22.006 0.107 9.65 7.61 2.68 10.40 5.98 2310000 20.61 6.772 6.332 4.498 14.22 9.80 29.16 7.97 0.41 2311000 13.38 5.200 23.424 8.888 3.46 11.99 23.19 5.54 18.78 2312000 6.15 3.628 7.750 2.908 8.02 14.18 17.22 3.11 13.21 2313000 24.75 2.055 24.841 7.299 12.59 16.37 11.25 0.68 7.63 2314000 17.52 0.483 9.168 1.318 1.83 1.93 5.29 25.34 2.06 2315000 10.29 37.433 26.259 5.709 6.40 4.12 31.77 22.91 20.43 2316000 3.06 35.860 10.585 10.099 10.96 6.31 25.78 20.48 14.85 2317000 21.66 31.288 27.676 4.119 0.21 8.50 19.81 18.05 9.28 2318000 14.43 32.715 12.003 8.509 4.77 10.69 13.84 15.62 3.70 2319000 7.20 31.143 29.094 2.529 9.33 12.88 7.88 13.19 22.07 2320000 25.80 29.571 13.421 6.919 13.90 15.07 1.91 10.76 l(i..r)() 2321000 18.57 27.999 30.511 0.939 3.14 0.63 28.41 8.33 10.93 2322000 11.34 26.427 14.838 5.329 7.71 2.82 22.44 5.90 5.35 2323000 4.11 24.854 31.929 9.720 12.28 5.01 16.47 3.47 23.72 2324000 22.71 23.282 16.256 3.740 1.52 7.20 10.51 1.04 18.15 2325000 15.48 21.710 0.582 8.130 6.08 9.39 4.54 25.70 12.57 232(5000 8.25 20.137 17.673 2.149 10.64 11.58 31.02 23.27 7.00 2327000 1.02 18.565 2.000 6.540 15.21 13.77 25.05 20.84 1.42 2:^8000 19.62 16.992 19.091 0.560 4.46 15.96 19.08 18.41 19.79 2329000 12.39 15.420 3.418 4.951 9.02 1.52 13.12 15.98 11.22 2330000 5.16 13.848 20.509 9.341 13.59 3.72 7.15 13.55 N.I;.-, a.-wooo 23.76 12.276 4.835 3.361 2.83 5.91 1.18 11.12 3.07 2:t:<2000 16.53 10.704 21.926 7.751 7.39 8.10 27.66 8.69 21.lt 2333000 9.30 9.132 6.253 1.771 11.95 10.29 21.69 6.26 15.87 2334000 27.90 7.559 23.344 6.161 1.20 12.48 15.72 3.83 10.29 •BS500Q 20.67 5.987 7.671 0.181 5.77 14.67 9.76 1.40 4.72 233GOOO 13.44 4.415 24.763 4.572 10.33 0.23 3.79 26.06 23.08 2337000 6.21 2.842 9.088 8.962 14.90 2.42 30.27 23.63 17.51 2338000 24.80 1.270 26.179 2.982 4.14 4.61 •J 1.30 21.20 11.91 2339000 17.58 38.220 10.506 7.372 8.70 6.80 18.33 18.77 6.37 2310000 10.35 36.648 27.597 1.392 13.27 8.99 12.37 16.34 0.79 •j:illOOO 3.12 35.076 11.924 5.782 2.51 11.18 6.10 13.91 19.16 gttaooo 21.71 33.504 29.015 10.173 7.08 13.37 0,13 11.48 18.59 BM80M 14.49 31.931 13.312 4.193 11.64 15.56 26.91 9.05 8.01 2:1 1 1000 07.26 30.359 30.433 8.583 0.89 1.12 20.94 6.62 2.44 •j:tt:.o»i) 0.02 28.787 14.760 2.603 5.45 331 14.98 4.19 20.81 •j:tiiiiio() 18.62 27.214 31.850 6.993 10.01 .r)..r)() 9.01 1.76 15.24 23 17000 11.1(1 25.612 16.178 1.013 14.58 7.69 3.01 26.42 9.66 •J:UM)OO 4.17 210li9 0.504 5.403 BJBt 9.88 29.52 23.99 4.09 23i!>ooo 22 76 22. 1!I7 17.595 9.794 8.:i<» 12.07 23.55 21.56 22.45 •j:t:»oooo 15.54 8OM0 1.922 3.814 12.95 14.26 17.59 19.13 16.88 TABLE Ha. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mcau Noon. JulKiod. AttG- 27' 3S' "' 30' 3I< 3a< 33« 31' 35' 2350000 d. 15.54 20.925 d. 1.922 d. 3.814 d 12.95 14.26 d. 17.59 19.13 1688 2351000 8.31 19.353 19.013 8.204 2.20 16.45 11.62 16.70 11.31 2352000 1.08 17.780 3.340 2.224 6.76 2.01 5.65 14.27 5.73 2353000 19.67 16.208 20.431 6.614 11.32 4.20 32.13 11.84 24.10 2354000 12.45 14.635 4.757 0.634 0.57 6.39 26.16 9.41 18.53 2355000 5.23 13.063 21.848 5.024 5.13 8.58 20.20 6.98 12.96 2356000 23.81 11.491 6.175 9.415 9.70 10.77 14.23 4.55 7.38 2357000 16.58 9.918 23.266 3.435 14.26 12.96 8.26 2.12 1.81 2358000 9.36 8.346 7.593 7.825 3.51 15.15 2.29 26.78 20.18 2359000 2.13 6.773 24.684 1.845 8.07 0.71 28.77 24.35 14.60 2360000 20.72 5.201 9.011 6.235 12.64 2.90 22.81 21.92 9.03 2361000 13.50 3.629 26.102 0.255 1.88 5.09 16.84 19.49 3.46 2362000 6.27 2.057 10.429 4.645 6.44 7.28 10.87 17.06 21.82 2363000 24.86 0.484 27.520 9.036 11.01 9.47 4.90 14.63 16.25 2364000 17.63 37.434 11.846 3.056 0.25 11.66 31.38 12.20 10.68 2365000 10.41 35.862 28.938 7.446 4.82 13.85 25.42 9.77 5.10 2366000 3.18 34.289 13.265 1.466 9.38 16.04 19.45 7.34 23.47 2367000 21.77 32.717 30.355 5.856 13.95 1.60 13.48 4.91 17.90 2368000 14.54 31.144 14.682 10.247 3.19 3.79 7.51 2.48 12.32 2369000 7.32 29.572 31.773 4.266 7.75 5.99 1.54 0.05 6.75 2370000 0.08 28.000 16.100 8.657 12.32 8.18 28.03 24.71 1.18 2371000 18.68 26.428 0.427 2.676 1.56 10.37 22.06 22.28 19.55 2372000 11.46 24.856 17.518 7.067 6.13 12.56 16.09 19.85 13.97 2373000 4.23 23.283 1.845 1.087 10.69 14.75 10.12 17.42 8.40 2374000 22.82 21.711 18.936 5.477 15.26 0.31 4.15 14.99 2.82 2375000 15.59 20.139 3.263 9.868 4.50 2.50 30.64 12.56 21.19 2376000 8.37 18.566 20.354 3.887 9.06 4.69 24.67 10.13 15.62 2377000 1.14 16.994 4.682 8.278 13.63 6.88 18.70 7.70 10.04 2378000 19.73 15.421 21.772 2.298 2.87 9.07 12.73 5.27 4.47 2379000 12.50 13.849 6.099 6.688 7.44 11.26 6.76 2.84 22.84 2380000 5.28 12.277 23.190 0.708 12.00 13.45 0.80 0.41 17.27 2381000 23.87 10.705 7.516 5.098 1.25 15.64 27.28 25.07 11.69 2382000 16.64 9.132 24.608 9.489 5.81 1.20 21.31 22.64 6.12 2383000 9.42 7.560 8.934 3.508 10.37 3.39 15.34 20.21 0.54 2384000 2.19 5.987 26.026 7.899 14.94 5.58 9.37 17.78 18.91 2385000 20.78 4.415 10.352 1.918 4.19 7.77 3.41 15.35 13.34 2386000 13.55 2.843 27.444 6.309 8.75 9.96 29.89 12.92 7.77 2387000 6.33 1.270 11.770 0.329 13.31 12.15 23.92 10.49 2.19 2388000 24.92 38.220 28.861 4.719 2.56 14.34 17.95 8.06 20.56 2389000 17.69 36.647 13.188 9.110 7.12 16.53 11.98 5.63 14.99 2390000 10.47 35.075 30.279 3.129 11.68 2.09 6.02 3.20 9.41 2391000 3.24 33.503 14.606 7.520 0.93 4.28 0.05 0.77 3.84 2392000 21.83 31.931 31.697 1.539 5.49 6.47 26.53 25.43 22.21 2393000 14.61 30.358 16024 5.930 10.06 8.66 20.56 23.00 16.63 2394000 7.38 28.786 0.351 10.321 14.62 10.85 14.59 20.57 11.06 2395000 0.14 27.214 17.442 4.340 3.87 13.04 8.63 18.14 5.49 2396000 18.74 25.641 1.769 8.731 8.43 15.23 2.66 15.71 23.85 2397000 11.53 24.069 18.860 2.750 13.00 0.79 29.14 13.28 18.28 2398000 4.29 22.496 3.187 7.141 2.24 2.98 23.17 10.85 12.71 2399000 22.88 20.924 20.278 1.161 6.80 5.17 17.20 8.42 7.13 2400000 15.66 19.352 4.605 5.551 11.37 7.36 11.24 5.99 1.56 29 TABLE Ha. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. r,-n*Tp°r-^ ARG. 36. 37. 38. 39. 4O. 41. 49. 43. 44. Julian Period. 2300000 d. 2. 1 1 d. 27.6 18.63 d. 10.6 d. 3.86 d. 5.90 d. 1.84 d. 8.97 d. 7.8 2301000 0.96 11.8 4.04 10.8 5.14 2.43 7.34 5.86 5.3 2302000 13.21 33.5 8.23 11.0 6.44 16.88 2.70 2.74 2.7 2303000 11.74 17.6 12.42 11.2 7.73 13.41 8.20 14.18 0.1 230 1000 10.26 1.8 16.62 11.5 9.03 9.94 3.56 11.06 20.3 2305000 8.79 23.5 2.02 11.7 10.32 6.47 9.06 7.95 17.7 2306000 7.32 7.6 6.22 11.9 11.61 3.01 4.43 4.83 15.1 2307000 5.84 29.4 10.41 12.2 12.91 17.45 9.92 1.72 12.5 2808000 4.37 13.5 14.61 12.4 14.20 13.98 5.29 13.15 9.9 2309000 2.90 35.2 0.01 12.6 15.49 10.51 0.64 10.04 7.3 2310000 1.42 19.3 4.21 12.8 16.78 7.05 6.15 6.92 4.7 2311000 13.67 3.4 8.40 13.0 18.07 3.58 1.51 3.81 2.1 2312000 12.20 25.2 12.60 13.2 0.52 0.11 7.00 0.70 22.4 2313000 10.72 9.3 16.79 13.4 1.82 14.55 2.37 12.13 19.8 2314000 9.25 31.0 2.19 13.7 3.11 11.08 7.87 9.01 17.2 2315000 7.78 15.2 6.39 13.9 4.40 7.61 3.23 5.90 11.6 2316000 6.30 36.9 10.58 14.1 5.70 4.14 8.73 2.79 12.0 2317000 4.83 21.0 14.78 14.4 6.99 0.67 4.10 14.23 9.4 2318000 3.36 5.1 0.18 14.6 8.29 15.12 9.59 11.10 6.8 2319000 1.88 26.9 4.38 14.8 9.58 11.65 4.95 7.99 4.2 2320000 0.41 11.0 8.57 15.0 10.87 8.19 0.31 4.88 1.6 2321000 12.66 32.7 12.77 15.2 12.16 4.72 5.82 1.77 21.8 2322000 11.18 16.8 16.96 15.4 13.15 1.25 1.17 13.19 19.2 2323000 9.71 1.0 2.37 15.6 14.74 15.70 6.68 10.08 16.6 2324000 8.23 22.7 6.56 15.9 16.04 12.22 2.04 6.97 14.1 2325000 6.76 6.8 10.76 16.1 17.33 8.75 7.53 3.86 11.5 2326000 5.29 28.6 14.95 16.3 18.62 5.28 2.90 0.75 8.9 2327000 3.82 12.7 0.35 16.6 1.08 1.81 8.39 12.17 6.3 2328000 2.34 34.4 4.55 16.8 2.37 16.26 3.76 9.06 3.7 2329000 0.87 18.5 8.75 17.0 3.66 12.79 9.26 5.95 1.1 2330000 13.12 2.6 12.94 17.2 4.95 9.33 4.62 2.84 21.3 2331000 11.64 21.1 17.13 17.4 6.24 5.H6 10.12 14.27 18.7 2332000 10.17 8.5 2.54 17.6 7.53 2.39 5.48 11.15 16.1 2333000 8.69 30.2 6.73 17.8 N.N2 16.84 0.84 K.OI 18.5 2334000 7.22 14.4 10.93 18.0 10.12 13.37 6.35 4.93 10.9 2335000 5.75 36.1 15.12 18.3 11.41 ' 9.90 1.70 1.82 8.3 2336000 4.28 20.2 0.53 18.5 12.70 6.43 7.20 13.21 6.8 2337000 2.80 4.3 4.72 18.7 14.00 2.96 2.56 10.13 8.2 2888000 1.33 26.1 8.91 18.9 15.29 17.41 8.06 7.02 0.6 2839000 13.58 10.2 13.12 19.1 16.58 13.94 3. 13 8.91 20.8 23 10000 12.10 31.9 17.31 19.8 17.87 10.47 8.94 0.79 18.2 2841000 10.63 16.0 2.7 1 19.5 0 32 7.00 4.29 12.22 15.6 2842000 9.15 0.2 6.90 19.7 1.61 3.53 9.79 9.11 13.0 23 13000 7.68 21.9 11.10 19.9 2.91 0.0(5 5.15 (i.OO 10.4 23 1 1000 6.21 6.0 15.29 20.2 4.20 14.51 0.51 2.88 7.8 2845000 4.73 27.8 0.70 20.4 5.1!) 11.04 6.01 14.32 5.2 2846000 3.26 1 1 .9 4.89 20.6 6.78 7.57 1.37 11.20 2.6 2847000 1.79 88.6 9.09 20.9 8.07 4.10 6.81 8.09 0.0 2348000 0.31 17.7 13.2s 21.1 9.87 0.61 2.23 4.97 20.3 2349000 12.56 1.!) 17.48 21.3 10.66 15.0$ 7.73 1.86 17.7 2880000 11.09 23.6 2.88 21.5 11.95 11.61 3.09 13.29 J5.1 30 TABLE II«. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. junked. AR(i- 3G- 37- 38- 39- 40- 41« 42- 43. 44. 2350000 11.09 d. 23.6 d. 2.88 d. 21.5 d. 11.95 d. 11.61 d. 3.09 d. 13.29 d. 15.1 2351000 9.61 7.7 7.07 21.7 13.24 8.14 8.59 10.18 12.5 2352000 8.14 29.4 11.27 21.9 14.53 4.67 3.96 7.06 9.9 2353000 6.67 13.6 15.46 22.1 15.83 1.20 9.45 3.95 7.3 2354000 5.19 35.3 0.87 22.4 17.12 15.65 4.82 0.84 4.7 2355000 3.72 19.4 5.06 22.6 18.41 12.17 0.18 12.27 2.1 2356000 2.25 3.5 9.26 22.8 0.86 8.70 5.68 9.15 22.3 2357000 0.77 25.3 13.45 23.1 2.15 5.23 1.04 6.04 19.7 2358000 13.02 9.4 17.65 23.3 3.45 1.76 6.54 2.93 17.1 2359000 11.55 31.1 3.05 23.5 4.74 16.21 1.90 14.37 14.5 2360000 10.07 15.2 7.25 23.7 6.03 12.74 7.40 11.24 12.0 2361000 8.60 37.0 11.44 23.9 7.32 9.27 2.76 8.13 9.4 2362000 7.13 21.1 15.64 24.1 8.61 5.80 8.26 5.02 6.8 2363000 5.65 5.2 1.04 24.3 9.91 2.33 3.62 1.91 4.2 2364000 4.18 27.0 5.23 24.5 11.20 16.78 9.12 13.34 1.6 2365000 2.71 11.1 9.43 24.8 12.49 13.31 4.49 10.22 21.8 2366000 1.24 32.8 13.62 25.0 13.78 9.84 9.98 7.11 19.2 2367000 13.48 17.0 17.82 25.2 15.07 6.37 5.35 4.00 16.6 2368000 12.01 1.1 3.22 25.4 16.37 2.90 0.70 0.89 14.0 2369000 10.53 22.8 7.42 25.6 17.66 17.35 6.21 12.31 11.4 2370000 9.06 6.9 11.61 25.8 0.11 13.88 1.57 9.20 8.8 2371000 7.59 28.7 15.81 26.0 1.40 10.41 7.06 6.09 6.2 2372000 6.11 12.8 1.21 26.2 2.69 6.94 2.43 2.98 3.7 2373000 4.64 34.5 5.41 26.4 3.99 3.47 7.93 14.41 1.1 2374000 3.17 18.6 9.60 26.7 5.28 0.00 3.29 11.29 21.3 2375000 1.69 2.8 13.80 26.9 6.57 14.45 8.79 8.18 18.7 2376000 0.22 24.5 17.99 27.1 7.86 10.98 4.15 5.07 16.1 2377000 12.47 8.6 3.40 27.4 9.15 7.51 9.65 1.96 13.5 2378000 11.00 30.4 7.59 1 27.6 10.45 4.04 5.01 13.38 10.9 2379000 9.52 14.5 11.78 27.8 11.74 0.57 0.37 10.27 8.3 2380000 8.05 36.2 15.98 28.0 13.03 15.02 5.88 7.16 5.7 2381000 6.57 20.3 1.38 28.2 14.32 11.55 1.23 4.05 3.1 2382000 5.10 4.4 5.58 28.4 15.61 8.08 6.73 0.94 0.5 2383000 3.63 26.2 9.77 28.6 16.91 4.61 2.10 12.36 20.8 2384000 2.15 10.3 13.97 28.9 18.20 1.14 7.59 9.25 18.2 2385000 0.68 32.0 18.16 29.1 0.65 15.59 2.96 6.14 15.6 2386000 12.93 16.2 3.57 29.3 1.94 12.12 8.46 3.03 13.0 2387000 11.46 0.3 7.76 29.6 3.23 8.65 3.82 14.46 10.4 2388000 9.98 22.0 11.95 29.8 4.53 5.18 9.32 11.34 7.8 2389000 8.51 6.1 16.15 30.0 5.82 1.71 4.68 8.23 5.2 2390000 7.03 27.9 1.56 30.2 7.11 16.16 0.04 5.12 2.6 2391000 5.56 12.0 5.75 30.4 8.40 12.69 5.55 2.00 0.0 2392000 4.09 33.7 9.95 30.6 9.69 9.22 0.90 13.43 20.2 2393000 2.62 17.8 14.14 30.8 10.99 5.75 6.41 10.32 17.6 2394000 1.14 2.0 18.34 31.0 12.28 2.28 1.76 7.21 15.0 2395000 13.39 23.7 3.74 31.3 13.57 16.73 7.26 4.09 12.4 2396000 11.92 7.8 7.93 31.5 14.86 13.25 2.63 0.98 9.9 2397000 10.44 29.6 12.13 31.7 16.15 9.79 8.12 12.41 7.3 2398000 8.97 13.7 16.32 31.9 17.45 6.32 3.49 9.30 4.7 2399000 7.49 35.4 1.73 32.1 18.74 2.85 8.99 6.18 2.1 2400000 6.02 19.5 5.92 32.3 1.19 17.30 4.35 3.07 22.3 31 TABLE IIfl. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. ,^A,,«. 4.. «. «. «,. «,. «. S8. *, d. d. d. d d. d. d. ii. d. 2300000 3.87 23.2 12.49 22.74 1.5 15.1 8.53 0.73 94.82 2301000 6.77J 7.7 9.08 4.98 6.0 13.7 6.60 Hi. 70 36.96 2302000 9.661 21.2 5.67 17.15 10.4 12.2 4.67 7.45 96.65 2303000 12.56| 5.8 2.25 29.32 2.2 10.8 2.74 23.42 38.79 2301000 15.46 19.3 12.97 11.56 6.7 9.3 0.81 14.17 98.48 2305000 1.46 3.9 9.56 23.73 11.3 7.9 17.09 4.92 40.62 2306000 4.36 17.4 6.15 5.97 3.0 6.5 15.16 20.89 100.20 2307000 7.25 2.0 2.74 18.14 7.5 5.0 13.2: 11.64 42.45 8806000 10.15 15.5 13.46 0.38 12.1 3.6 11.30 2.38 102.13 2309000 13.05 0.0 10.05 12.55 3.7 2.1 9.37 18.36 44.28 2310000 15.95 13.6 6.64 24.73 8.3 0.7 7.44 9.10 103.96 2311000 1.95 27.1 3.23 6.96 0.0 24.3 5.51 25.08 46.11 2312000 4.84 11.7 13.95 19.14 4.5 22.9 3.58 15.83 105.79 2313000 7.74 25.2 10.54 1.37 9.0 21.4 1.65 6.57 47.94 2314000 10.64 9.8 7.13 13.55 0.8 20.0 17.93 22.55 107.62 2315000 13.51 23.3 3.72 25.72 5.3 18.5 15.99 13.29 49.77 2316000 16.44 7.8 031 7.96 9.8 17.1 14.07 4.04 109.45 2317000 2.43 21.4 11.03 20.13 1.5 15.7 12.14 20.01 51.60 2318000 5.33 5.9 7.62 2.37 6.0 14.2 10.21 10.76 111.28 2319000 8.23 19.5 4.21 14.54 10.5 12.8 8.28 1.50 53.42 2320000 11.13 4.0 0.79 26.71 2.3 11.4 6.35 17.48 113.11 2321000 14.03 175 11.51 8.95 6.8 10.0 4.42 8.23 58.26 3322000 0.02 2.1 8.10 21.12 11.3 8.5 2.49 24.20 114.94 8323000 2.92 15.6 4.69 3.36 3.1 7.1 0.56 14.95 57.09 2321000 5.82 0.2 1.28 15.53 7.6 5.6 16.84 5.69 116.77 2325000 8.72 13.7 1200 27.70 12.1 4.2 14.91 21.67 58.92 8336000 11.62 27.3 8.59 9.94 3.8 2.8 12.98 12.41 1.06 •J.-U7000 14.51 II - 5.18 22.11 8.3 1.3 11.05 3.16 60.74 2:WSOOO 0.51 25.3 1.77 4.35 0.1 24.9 9.12 19.14 2.89 2329000 3.41 9.9 12.48 16.52 4.6 23.4 7.19 9.88 62.57 2330000 6.31 23.4 9.08 28.70 9.1 22.0 5.26 0.63 4.72 8331000 9.21 8.0 5.66 10.94 0.8 20.6 3.33 16.60 84.41 8332000 12.10 21.5 2.25 23.11 5.3 19.1 1.40 7.35 6.55 8333000 15.00 6.1 ' 12.97 5.35 9.9 17.7 17.68 23.32 88.23 8334000 0.99 19.6 9.56 17.52 1.6 16.2 15.75 14.07 8.38 2335000 3.90 4.1 6.15 29.69 6.1 14.8 1382 4.81 68.06 2336000 6.80 177 2.74 11.93 10.5 13.4 11.89 20.79 10.21 •j:i:)7000 9.69 2.2 13.46 24.10 2.4 11.9 9.96 11.54 69.89 2338000 12.59 15.8 10.05 6.34 6.9 10.5 8.03 2.28 18,04 8339000 15.49 0.3 6.64 18.51 11.4 9.0 6.10 18.26 71.72 8940000 1.49 18.8 3.23 0.75 3.1 7.6 4.17 9.00 13.87 8311000 4.38 27.4 18.98 18.99 7.6 6.2 2.2 1 24.98 73.55 ji KKI 7.98 11.9 10.51 86.09 12.2 4.8 0.31 15.72 15.70 8343COO 10.18 25.5 7.12 7.88 3.9 3.3 16.59 (i. 17 76.38 8344000 13.08 10.0 3.71 19.50 8.4 1.9 14.67 22.44 17.53 8845000 15.98 23.6 0.30 1.74 0.1 0.4 12.73 13.19 77.21 8346000 1.97 S.I 11.02 13.91 4.6 24.0 10.80 :i.!»i l!).:ifi 8347000 usn 21.6 7.61 26.08 9.2 22.6 S.N7 19.91 78.04 •J.'ilM 7.77 6.2 4.20 8.89 0.9 21.1 6.94 10.66 21.19 2349000 10. 67 19.7 0.79 20.49 5.4 19.7 5.01 1.40 SO.N7 2850000 l:{.:>7 I .:: 11.51 2.73 9.9 18.3 3.0* 17.:fs 2:!.()2 32 TABLE Ha. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. Ir^»f. , ARO. 45. 46. 47. 48. 49. 5O. 51. 53. 53. Julian Period. 2350000 d. 13.57 d. 4.3 d 11.51 d 2.73 d. 9.9 d. 18.3 d. 3.08 d. 17.38 d. 23.02 2351000 16.46 17.8 8.10 14.91 1.7 16.9 1.15 8.12 82.70 2352000 2.46 2.4 4.69 27.08 6.2 15.4 17.43 24.10 24.85 2353000 5.36 15.9 1.28 9.32 10.6 14.0 15.50 14.84 84.53 2351000 8.26 0.4 11.99 21.49 2.4 12.5 13.58 5.59 26.68 2355000 11.16 14.0 8.58 3.73 6.9 11.1 11.64 21.57 86.36 2356000 1405 27.5 5.17 15.90 11.5 9.7 9.71 12.31 28.50 2357000 0.05 120 1.76 28.07 3.2 8.2 7.78 3.06 88.19 2358000 2.95 25.6 12.48 10.31 7.7 6.8 5.85 19.03 30.33 2359000 5.85 10.1 9.07 22.48 12.2 5.3 3.92 9.78 90.02 2360000 8.75 23.7 5.66 4.72 4.0 3.9 1.99 0.55 32.17 2361000 11.64 8.2 2.25 16.89 8.5 2.5 0.06 16.50 91.85 2362000 14.54 21.8 12.97 29.06 0.2 1.1 16.34 7.24 33.99 2363000 0.54 6.3 9.56 11.30 4.7 24.6 14.42 23.22 93.68 2364000 3.44 19.9 6.15 23.47 9.2 23.2 12.49 13.97 35.82 2365000 6.34 4.5 2.74 5.71 1.0 21.7 10.56 4.71 95.51 2366000 9.23 17.9 13.46 17.88 5.5 20.3 8.63 20.69 37.65 2367000 12.13 2.5 10.05 0.12 9.9 18.9 6.70 11.43 97.34 2368000 15.03 16.0 6.64 12.29 1.7 17.4 4.77 2.18 39.48 2369000 1.03 0.6 3.22 24.47 6.2 16.0 2.84 18.16 99.17 2370000 3.92 14.1 13.94 6.71 10.7 14.6 0.91 8.90 41.31 2371000 6.82 27.7 10.53 18.88 2.5 13.2 17.19 24.87 101.00 2372000 9.72 12.2 7.12 1.12 7.0 11.7 15.26 15.62 43.14 2373000 12.62 •25.7 3.71 13.29 11.6 10.3 13.34 6.37 102.83 2374000 15.52 10.3 0.30 25.46 3.3 8.8 11.41 22.34 44.97 2375000 1.51 23.8 11.02 7.70 7.8 7.4 9.47 13.09 104.66 2376000 4.41 8.4 7.61 19.87 12.3 6.0 7.54 3.83 46.80 2377000 7.31 21.9 4.20 2.11 4.0 4.5 5.61 19.81 106.49 2378000 10.21 6.5 0.79 14.28 8.5 3.1 3.68 10.55 48.63 2379000 13.11 20.0 11.51 26.45 0.3 1.6 1.75 1.30 108.32 2380000 16.00 4.5 8.10 8.69 4.8 0.2 18.03 17.28 50.46 2381000 2.00 18.1 4.68 20.87 9.3 23.8 16.10 8.02 110.15 2382000 4.90 2.6 1.27 3.10 1.0 22.3 . 14.18 24.00 52.29 2383000 7.80 16.2 11.99 15.28 5.6 20.9 12.25 14.74 111.98 2384000 10.70 0.7 8.58 27.45 10.0 19.4 10.32 5.49 54.12 2385000 13.59 14.2 5.17 9.69 1.8 18.0 8.38 21.46 113.81 2386000 16.49 27.8 1.76 21.86 6.3 16.6 6.45 12.21 55.95 2387000 2.49 12.3 12.48 4.10 10.8 15.1 4.52 2.95 115.64 2388000 5.39 25.9 9.07 16.27 2.6 13.7 2.59 18.93 57.78 2389000 8.29 10.4 5.66 28.44 7.1 12.2 0.66 9.68 117.47 2390000 11.18 240 2.25 10.68 11.6 10.8 16.94 0.42 59.61 2391000 14.08 8.5 12.97 22.85 3.3 9.4 15.02 16.40 1.76 2392000 0.08 22.0 9.56 5.09 7.8 8.0 13.09 7.14 61.44 239.'<000 2.98 6.6 6.14 17.26 12.4 6.5 11.16 23.12 3.59 2394000 5.88 20.1 2.73 29.43 4.1 5.1 9.23 13.86 63.27 2395000 8.77 4.7 13.45 11.67 8.6 3.6 7.29 4.61 5.42 2396000 11.67 18.2 10.04 23.84 0.3 2.2 5.36 20.59 65.10 2397000 14.57 2.8 6.63 6.08 4.9 0.8 3.43 11.33 7.25 2398000 0.57 16.3 3.22 18.25 9.4 24.3 1.50 2.08 66.93 2399000 3.46 0.8 13.94 0.49 1.1 22.9 17.78 18.05 9.08 2400000 6.36 14.4 10.53 12.67 5.6 21.5 15.85 8.80 68.76 33 TABLE II«. Epochs and Arguments for each Thousandth Day, from 2300000 to 2 100000. For Washington Mean Noon. «Sr£-.AM.«. «• <*. *r. 38. .19 60. 6.. 63. d. d. d. d. d. d. d. d. d. 2300000 8.49 4.41 1.74 12.90 7.94 32.07 16.92 8.62 4.61 2301000 13.88 3.42 4.81 10.64 1.95 19.01 12.44 1.76 8.11 3302000 4.20 2.43 7.88 8.39 11.21 5.95 7.96 8.52 11.61 2303000 9.59 1.43 10.96 6.13 5.22 31.85 3.49 1.67 0.67 2304000 14.98 0.44 0.91 3.87 14.47 18.78 21.33 8.42 4.17 2305000 5.29 19.08 3.98 1.61 8.49 5.72 16.85 1.57 7.67 2306000 10.68 18.09 7.05 16.35 2.50 31.62 12.38 8.32 11.17 2307000 1.00 17.09 10.13 14.09 11.76 18.56 7.90 1.47 0.24 2308000 6.39 16.10 0.08 11.83 5.77 5.50 3.42 8.22 3.74 2309000 11.77 15.11 3.15 9.58 15.03 31.40 21.27 1.37 7.21 2310000 2.09 14.12 6.22 7.32 9.04 18.33 16.79 8.12 10.71 2311000 7.49 13.13 9.29 5.06 3.06 5.27 12.31 1.27 14.24 2312000 12.87 12.14 12.37 2.80 12.31 31.17 7.83 8.02 3.30 2313000 3.18 11.14 2.32 0.54 6.33 18.11 3.36 1.18 6.80 2314000 8.57 10.15 5.39 15.28 0.34 5.05 21.20 7.93 10.30 2315000 13.96 9.16 8.46 13.02 9.60 30.95 16.72 1.08 13.81 2316000 4.28 8.17 11.54 10.76 3.61 17.88 12.25 7.83 2.88 2317000 9.66 7.18 1.49 8.51 12.87 4.82 7.77 0.98 6.37 2318000 15.05 6.18 4.56 6.25 6.88 30.72 3.29 7.73 9.87 2319000 5.37 5.19 7.63 3.99 0.90 17.66 21.14 0.88 13.37 2320000 10.76 4.20 10.71 1.73 10.15 4.59 16.66 7.63 2.44 2321000 1.07 3.21 0.66 16.47 4.17 30.49 12.18 0.78 5.91 2322000 6.46 2.21 3.73 14.21 13.42 17.43 7.70 7.54 9.41 2323000 11.85 1.21 6.80 11.95 7.44 4.37 3.23 0.68 12.9 I 2324000 2.17 0.23 9.88 9.69 1.45 30.27 21.07 7.44 2.00 2325000 7.55 18.86 12.95 7.44 10.71 17.21 16.59 0.59 5.50 2326000 12.94 17.87 2.90 5.18 4.72 4.14 12.12 7.34 9.01 •2327000 3.26 16.88 5.97 2.92 13.97 30.04 7.64 0.49 12.51 2328000 8.65 15.89 9.05 0.66 7.99 16.98 3.16 7.24 1.57 ^':t-J9000 14.03 14.89 12.12 15.40 2.00 3.92 21.01 0.39 5.07 2330000 4.35 13.90 2.07 13.14 11.26 29.82 16.53 7.14 8.57 2331000 9.74 12.91 5.14 10.88 5.27 16.76 12.05 0.29 12.07 2332000 0.06 11:92 8.21 8.62 14.53 3.69 7.58 7.05 1.14 2333000 5.44 10.92 11.29 6.37 8.54 29.59 3.10 0.19 4.64 2331000 10.83 9.93 1.24 4.11 2.56 16.53 20.94 6.95 8.14 9888000 1.14 8.94 4.31 1.85 11.81 3.47 16.47 0.10 11.64 2336000 6.54 7.95 7.38 16.58 5.83 29.37 11.99 6.85 0.70 'j:W7000 11.92 6.96 10.46 14.32 15.08 16.31 7.51 0.00 4.20 9888000 2.24 5.96 0.41 12.07 9.10 3.24 3.04 6.75 7.70 2339000 7.63 4.97 3.48 9.81 3.11 29.14 20.88 13.51 11.21 •j:( 10000 13.02 3.98 6.55 7.56 12.36 16.08 16.40 6.65 0.27 2311(100 &S8 2.99 9.62 5.30 6.38 3.02 11.93 13.41 3.77 9842000 8.72 2.00 12.70 .'(.() 1 0.39 28.92 7.45 6.55 7.27 •j:i 13000 14.11 1.00 2.65 0.78 9.65 15.85 2.97 13.31 10.77 23 1 1000 4.43 0.01 5.72 15.51 3.66 2.79 20.82 6.46 14.27 9845000 9.81 18.65 8.79 18J96 12.92 28.69 16.34 13.21 3.34 9846000 0.13 17.66 11.87 11.00 6.93 15.63 11.86 6.36 6.84 2347000 :>:>•>. 16.67 1.82 8.74 0.95 2.57 7.38 13.12 10.34 8848000 10.911 15.67 4.89 6.49 10.20 28.47 2.91 6.26 13.84 2349000 1.22 '14.68 7.96 4.23 4.22 15.40 20.75 13.02 2.90 9350000 6.61 13.69 11.04 1.97 13.47 2.34 16.27 6.16 6.40 34 TABLE II«. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. juhaf/plod. AKG- 5i- 53' 5G- 57' 5S- *» 60- «l. 62. 2350000 000 4.96 21.55 14.13 3.3 4.08 5.03 333.0 52.3 160.6 •-i.'tir.ooo 9.72 13.77 1.03 6.6 16.12 9.03 389.3 62.9 576.7 3847000 0.85 5.99 2.41 9.9 0.71 13.03 415.5 73.5 408.9 3848000 :>.<; i :u.-4(» 3.79 13.3 12.75 17.03 29.8 84.2 241.0 3849000 io.:t7 26.42 5.17 16.6 24.80 21.03 86.0 94.8 73.2 •-•:i.->oooo l.f>0 18.64 6.55 19.9 9.39 25.03 142.2 105.4 489.3 36 TABLE Epochs and Arguments for eac.h Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. Jan™ peL. ARG. 63. 61. 65. 66. 67. 68. 69. 7O. 71. 2350000 d. 1.50 18.64 d. 6.55 d. 19.9 9.39 d. 25.03 142.2 d. 105.4 489.3 2351000 6.26 10.86 7.93 23.2 21.43 1.36 198.4 116.0 321.4 2352000 11.03 3.09 9.31 26.5 6.04 5.36 254.6 126.6 153.6 2353000 2.16 31.30 10.68 29.9 18.08 9.35 310.9 137.3 569.6 2354000 6.92 23.52 12.07 33.2 2.67 13.36 367.1 147.9 401.8 2355000 11.69 15.74 13.45 0.9 14.71 17.36 423.3 158.6 234.0 2356000 2.81 7.96 0.35 4.2 26.76 21.36 7.6 169.2 66.1 2357000 7.57 36.17 1.73 7.5 11.35 25.35 63.8 179.8 482.2 2358000 12.34 28.39 3.10 10.9 23.39 1.68 120.0 190.5 314.4 2359000 3.46 20.61 4.48 14.2 7.99 5.68 176.2 201.1 146.5 2360000 8.22 12.83 5.86 17.5 20.02 9.68 232.5 211.7 562.6 2361000 12.99 5.05 7.24 20.8 4.62 13.68 288.7 222.3 394.8 2362000 4.11 33.27 8.62 24.1 16.66 17.68 344.9 232.9 226.9 2363000 8.88 25.49 9.99 27.5 1.26 21.68 401.1 243.6 59.1 2364000 0.01 17.71 11.38 30.8 13.30 25.68 457.3 254.2 475.1 2365000 4.77 9.93 12.76 34.1 25.35 2.01 41.6 264.9 307.3 2366000 9.53 2.15 14.14 1.8 9.94 6.01 97.8 275.5 139.5 2367000 0.66 30.36 1.04 5.1 21.98 10.01 154.0 286.1 555.5 2368000 5.42 22.58 2.41 8.4 6.57 14.01 210.3 296.8 387.7 2369000 10.18 14.80 3.79 11.8 18.61 18.01 266.5 307.4 219.9 2370000 1.31 7.02 5.17 15.1 3.21 22.01 322.7 318.0 52.0 2371000 6.07 35.23 6.55 18.4 15.25 26.01 378.9 328.6 468.1 2372000 10.84 27.46 7.93 21.7 27.30 2.34 435.1 9.4 300.2 2373000 1.96 19.68 9.31 25.0 11.89 6.34 19.4 20.1 132.4 2374000 6.73 11.90 10.69 28.3 23.93 10.34 75.7 30.7 548.5 2375000 11.50 4.12 12.07 31.7 8.53 14.34 131.9 41.4 380.6 2376000 2.62 32.33 13.45 35.0 20.57 18.34 188.1 52.0 212.8 2377000 7.38 24.55 0.35 2.7 5.16 22.34 244.3 62.6 44.9 2378000 12.15 16.77 1.73 6.0 17.20 26.34 300.5 73.3 461.0 2379000 3.27 8.99 3.11 9.3 1.80 2.67 356.7 83.9 293.2 2380000 8.03 1.21 4.49 12.6 13.84 6.67 412.9 94.5 125.4 2381000 12.80 29.43 5.87 15.9 25.89 10.67 469.1 105.1 541.4 2382000 3.92 21.65 7.25 19.2 10.48 14.67 53.5 115.7 373.6 2383000 8.68 13.87 8.63 22.6 22.52 18.67 109.7 126.4 205.7 2384000 13.45 6.09 10.01 25.9 7.12 22.67 165.9 137.0 37.9 2385000 4.58 34.30 11.39 29.3 19.16 26.67 222.1 147.7 454.0 2386000 9.34 26.52 12.77 32.6 3.75 2.99 278.3 158.3 286.1 2387000 0.47 18.74 14.15 0.3 15.79 6.99 334.5 168.9 118.3 2388000 5.23 10.96 1.05 3.6 0.39 11.00 390.7 179.6 534.4 2389000 9.99 3.19 2.43 6.9 12.43 15.00 446.9 190.2 366.5 2390000 1.12 31.40 3.81 10.2 24.48 18.99 31.3 200.8 198.7 2391000 5.88 23.62 5.19 13.5 9.07 22.99 87.5 211.4 30.9 2392000 10.65 15.84 6.57 16.8 21.13 26.99 143.7 222.0 446.9 2393000 1.77 8.06 7.95 20.2 5.71 3.32 199.9 232.7 279.1 2394000 6.53 0.28 9.33 23.5 17.75 7.32 256.1 243.3 111.2 2395000 11.30 28.49 10.70 26.8 2.35 11.32 312.3 254.0 527.3 2396000 2.43 20.71 12.09 30.1 14.39 15.32 368.5 264.6 359.5 2397000 7.19 12.94 13.47 33.4 26.43 19.32 424.8 275.2 191.6 2398000 11.96 5.16 0.37 1.2 11.02 23.32 9.1 285.9 23.8 2399000 3.08 33.37 1.75 4.5 23.06 27.32 65.3 296.5 439.8 2400000 7.84 25.59 3.13 7.8 7.66 3.65 121.5 307.1 272.0 37 TABLE Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. For Washington Mean Noon. j-iSVSw. AEG- 72' 73' 74' 7S' ™' 78' ™' **. 81. 2300000 d. 103.9 2077.0 3031 54315 2766 d. 6.448 366.2 d 57.0 50.32 2301000 306.2 886.7 798 55315 3766 65.440 51.1 117.8 56.68 2302000 109.5 1886.7 1798 56315 4766 124.432 174.4 178.7 63.04 2303000 311.7 696.4 2798 57315 5767 183.424 297.7 239.5 69.41 2304000 115.1 1696.4 565 58315 6767 54.214 420.9 300.3 75.77 2305000 317.3 506.1 1565 59315 7767 113.208 105.9 48.1 82.13 2306000 1207 150S.1 25(55 60315 8768 172. IDS 229.1 109.0 88.49 3307000 322.9 315.8 332 61315 9768 42.988 352.4 169.8! 94.85 2308000 126.2 1315.8 1332 62315 10769 101.981 37.3 230.6 101.22 2309000 328.5 125.5 2332 63315 11769 160.972 160.6 291.5 107.58 2310000 131.8 1125.5 99 64315 12769 31.763 283.9 39.2 113.94 2311000 334.1 2125.5 1099 65315 13769 90.755 407.2 100.1 120.30 2312000 137.4 » 935.2 2099 66315 14769 149.747 92.1 160.9 2.46 2313000 339.6 1935.2 3099 67315 15770 20.538 215.3 221.7 8.83 2314000 143.0 744.8 867 68315 16770 79.530 338.6 282.6 15.19 2315000 345.2 1744.8 1867 69315 17770 138.522 23.5 30.4 21.55 2316000 148.6 554.5 2867 70315 18771 9.312 146.8 91.2 27.92 2317000 350.8 1554.5 634 71315 19771 68.304 270.1 152.0 34.28 2318000 154.1 364.1 1634 72315 20772 127.296 393.4 212.8 40.65 2319000 356.4 1364.1 2634 73315 21772 186.288 78.3 273.7 47.01 2320000 159.7 173.9 401 74315 22772 57.079 201.6 21.5 53.37 2321000 361.9 1173.9 1401 75315 23772 116.071 321.8 82.3 59.73 2322000 165.3 2173.9 2401 76315 24773 175.064 9.8 143.2 66.09 2323000 367.5 983.6 168 77315 25773 45.854 133.0 204.0 72.46 2324000 170.9 1983.6 1168 78315 26773 104.846 256.3 264.8 78.82 2325000 373. 1 793.3 2168 79315 27774 163.838 379.6 12.6 85.18 2326000 nr,.r> 1793.3 3168 80315 28774 34.62S 64.5 73.4 91.55 •j:W7000 378.7 602.9 935 81315 29774 93.620 187.8 134.3 97.91 2328000 182.0 1602.9 1935 82315 30775 152.613 311.1 195.1 104.28 2329000 384.3 412.6 2935 83315 31775 23.403 431.3 255.9 110.64 2330000 187.6 1412.6 703 84315 32775 82.395 119.3 3.8 117.00 2331000 389.8 222.3 1703 562 33775 141.387 242.5 64.6 123.36 •j:mooo 193.2 1222.3 2703 1562 34775 12.178 365.8 125,4 5.62 2389000 395.4 32.0 470 2562 35775 71.170 50.7 186.3 11.89 2334000 198.8 1032.0 1470 3562 36776 130.162 174.0 W7.1 18.25 2335000 2.1 2032.0 2470 4562 37776 0.952 297.3 307.9 24.61 2336000 204.4 841.7 237 5562 38776 59.945 430.6 55.7 30.98 ii:i:t7000 7.7 1841.7 1237 6562 39776 1 19.937 105.5 116.5 87.84 2338000 209.9 651.3 2237 7562 40777 177.929 228.8 177,4 43.71 2339000 13.3 1651.3 4 8562 41777 48.719 852.0 238.2 50.07 2340000 215.5 461.0 1001 9562 42777 107.712 86.9 299.1 56. J3 2341000 18.9 1461.0 2004 10562 43777 166.701 160.2 46.9 68.79 8342000 221.1 270.7 3004 11562 44777 37.495 283.5 107.7 69J5 3343000 •Jl 1 1270.7 771 12562 45777 96.487 406.8 168.6 75.52 2344000 226.7 80.4 1771 13562 46777 155.479 91.7 229. 1 81.88 2845000 30.0 1080.4 2771 14562 47778 26.270 215.0 290.2 88.24 2346000 2:fJ.2 20M>. 1 ;V1!I 1.-.5W 48778 sr, -I*! 888.3 86.0 91.61 •_>:! HIM >o 35. (i SIMM 153!) 165W 49778 1J4. 25 4 23.2 98.9 100.97 2348000 237. N iviu i •_•:•:{!) 17562 507 7 s 15.048 146.4 159.7 107.:!! 2319000 I I •'. 6!)!). 7 300 Isr.lW 51778 74.037 269.7 220.S 118.70 2350000 243.4 1699.7 1306 19562 52778 133.02!) 893.0 281.3 120.06 38 TABLE II«. Epochs and Arguments for each Thousandth Day, from 2300000 to 2 100000. For Washington Mean Noon. juiKuxi. ARG- *»• 79' r4' 75' ™- 78. 79. 80. 81. 2350000 d. 243.4 1699.7 d. 1306 d. 19562 52778 d. 133.029 d 393.0 d. 281.3 120.06 2351000 46.8 509.4 2306 20562 53778 3.820 77.9 29. 2.22 2352000 249.0 1509.4 73 21562 54778 62.812 201.2 90.0 8.58 2353000 52.3 319.1 1073 22562 55778 121.805 324.5 150.8 14.95 2354000 254.6 1319.1 2073 23562 56778 180.797 9.4 211.6 21.31 2355000 57.9 128.7 3073 24562 57778 51.588 132.7 272.5 27.67 2356000 260.1 1128.7 840 25562 58779 110.580 255.9 20.3 34.04 2357000 63.5 2128.7 1840 26562 59779 169.572 379.2 81. 40.40 2358000 265.7 938.4 2840 27562 60779 40.363 64.1 141.9 46.77 2359000 69.1 1938.4 607 28562 61779 99.355 187.4 202.8 53.13 2360000 271.3 748.1 1607 29562 62779 158.347 310.7 263.6 59.49 2361000 74.7 1748.1 2607 30562 63779 29.138 434.0 11.4 65.85 2362000 276.9 557.8 374 31562 64779 88.131 118.9 72.2 72.21 2363000 80.2 1557.8 1374 32562 65779 147.123 242.2 133.1 78.58 2364000 282.5 367.5 2374 33562 66779 17.914 365.5 193.9 84.94 2365000 85.8 1367.5 142 34562 67779 76.906 50.4 254.7 91.30 2366000 288.0 177.1 1142 35562 68779 135.898 173.6 2.5 97.67 2367000 91.4 1177.1 2142 36562 69779 6.689 296.9 63.4 104.03 2368000 293.6 2177.1 3142 37562 70779 65.682 420.2 124.2 110.40 2369000 97.0 986.8 909 38562 71779 124.674 105.1 185.0 116.76 2370000 299.2 1986.8 1909 39562 72779 183.666 228.4 245.8 123.12 2371000 102.6 796.5 2909 40562 73779 54.457 351.7 306.7 5.28 2372000 304.8 1796.5 676 41562 74779 113.450 36.6 54.5 11.64 2373000 108.1 606.1 1676 42562 75779 172.442 159.9 115.3 18.01 2374000 310.4 1606.1 2676 43562 76779 43.233 283.2 176.1 24.37 2375000 113.7 415.8 443 44562 77779 102.225 406.4 237.0 30.73 2376000 315.9 1415.8 1443 45562 78779 161.217 91.3 297.8 37.09 2377000 119.3 225.5 2443 46562 79779 32.008 214.6 45.6 43.45 2378000 321.5 1225.5 210 47562 80779 91.000 337.9 106.4 49.82 2379000 124.9 35.1 1210 48562 81779 149.992 22.8 167.3 56.18 2380000 327.1 1035.1 2210 49562 82779 20.784 146.1 228.1 62.54 2381000 130.4 2035.1 3210 50562 83779 79.777 269.4 288.9 68.90 2382000 332.7 844.8 978 51562 84779 138.769 392.7 36.7 75.26 2383000 136.0 1844.8 1978 52562 85779 9.560 77.6 97.6 81.63 2384000 33S.3 654.5 2978 53562 86779 68.552 200.9 158.4 87.99 2385000 141.6 1654.5 745 54562 87778 127.545 324.1 219.2 94.35 2386000 343.8 464.2 1745 55562 88778 186.537 9.0 280.1 100.72 2387000 147.2 1464.2 2745 56562 89778 57.328 132.3 27.9 107.08 2388000 349.4 273.8 512 57562 90778 116.321 255.6 88.7 113.45 2389000 152.8 1273.8 1512 58562 91778 175.313 378.9 149.5 119.81 2390000 355.0 83.5 2512 59562 92778 46.105 63.8 210.4 1.97 2391000 158.3 1083.5 279 60562 93778 105.097 187.1 271.2 8.33 2392000 360.6 2083.5 1279 61562 94778 164.090 310.4 19.0 14.69 2393000 163.9 893.2 2279 62562 288 34.881 433.6 79.8 21.06 2394000 366.2 1893.2 46 63562 1288 93.873 118.6 140.6 27.42 2395000 169.5 702.8 1046 64562 2288 152.866 241.8 201.5 33.78 2396000 371.7 1702.8 2046 65562 3287 23.657 365.1 262.3 40.15 2397000 175.1 512.5 3046 66562 4287 82.649 50.0 10.1 46.51 2398000 377.3 1512.5 813 67562 5287 141.642 173.3 70.9 52,88 2399000 180.7 322.1 1813 68562 6287 12.433 296.6 131.8 59.24 2400000 382.9 1322.1 2813 69562 7287 71.425 419.9 192.6 66.60 39 TABLE H,T. Epochs and Arguments for each Thousandth Day, from 2300000 to 2100000. For Washington Mean Noon. JullKiod. ARQ' 82> 83> 84< 85' 86> 87- 88< 89< 9O> 2300000 11.905 cl. 34.45 10.79 3.02 21.02 34.82 5.32 0.83 6.55 15.6 3333000 10.488 18.25 7.56 9.68 1.18 10.71 3.51 •2.:i-2 14.9 2334000 11. IMI 37.96 12.10 21.87 5.83 1.96 6.19 17.40 14.2 2335000 3.610 18.46 16.64 10.51 10.47 7.39 8.88 13.17 13.5 3836000 7.651 88.16 2.04 22.73 15.11 12.81 11.56 8.94 12.8 2337000 11.689 18.66 6.59 11.10 19.75 4.03 14.34 1.71 12.1 2938000 0.808 88 81 11.13 '2:f.r>s 24.40 9.45 2.26 0.17 11.4 9989000 4.819 18.87 15.67 12.25 29.01 0.67 4.94 15.55 10.7 •2:: 10000 8.831 :;s.:,s 1.07 0.92 33.69 6.10 7.63 11.89 10.0 3341000 18.849 19.08 5.61 13.11 0.05 11.69 10.31 7.09 9,3 2343000 ujei 88.78 10.16 1.78 4.69 2.74 13.99 2.86 8.6 2343000 .->. !)!)!) 19.28 ' 1 1.70 l 3.96 !t.:t:t 8.16 1.01 17. ill 7.9 •2:i 1 1000 10.010 38.99 0.10 2.68 13.98 i:t.5!» 8.69 13.71 7.2 •2:u.-.ooo 11.0-21 19.49 4.64 14.82 18.62 4.81 6.37 !).17 6.5 3346000 8.161 89.20 9.18 :t. in 28.26 10.23 9.06 5.2 1 5.8 2347000 7.178 19.69 18.78 15.68 '27. ill 1.45 11.71 1.01 5.1 2348000 1J.189 0.19 18.27 4.34 32.55 6.88 1 MM 16.09 4.4 2349000 o. :!:;:, 19.90 :u;7 H;..™ 37.19 12.30 '2.11 11.86 3.7 •2:i:.0000 4.:ir; o. 10 8.21 5.20 3.55 3.5-2 5.12 7.63 3.0 40 TABLE Ila. Epochs and Arguments for each Thousandth Day, from 2300000 to 2400000. • For Washington Mean Noon. Juli^Vedod ARG- 82' 83' 84t 85' 86< 87/< 88< 89> 9O< 2350000 d. 4.346 A. 0.40 d. 8.2 d. 5.20 d. 3.55 d. 3.52 d. 5.12 d 7.63 d. 3.0 2351000 8.357 20.1 12.76 17.39 8.20 8.94 7.8 3.40 2.3 2352000 12.368 0.61 17.30 6.06 12.84 0.16 10.4 18.48 1.6 2353000 1.514 20.31 2.70 18.25 17.48 5.59 13.17 14.24 0.9 2354000 5.525 0.81 7.24 6.9 22.13 11.0 1.1 10.0 0.2 2355000 9.536 20.52 11.78 19.10 26.77 2.23 3.87 5.78 31.8 2356000 13.548 1.02 16.33 7.77 31.4 7.66 6.55 1.55 31.0 2357000 2.693 20.73 1.73 19.96 36.05 13.08 9.24 16.63 30.3 2358000 6.704 1.22 6.27 8.63 2.42 4.30 11.92 12.40 29.6 2359000 10.716 20.93 10.81 20.81 7.06 9.72 14.60 8.16 28.9 2360000 14.727 1.43 15.35 9.48 11.70 0.94 2.62 3.93 28.2 2361000 3.872 21.14 0.75 21.67 16.35 6.37 5.30 19.0 27.5 2362000 7.884 1.64 5.30 10.34 20.99 11.79 7.99 14.78 26.8 2363000 11.895 21.35 9.84 22.53 25.63 3.01 10.67 10.55 26.1 2364000 1.041 1.84 14.38 11.19 30.28 8.43 13.35 6.32 25.4 2365000 5.052 21.55 18.92 23.38 34.92 13.86 1.37 2.08 24.7 2366000 9.063 2.05 4.32 12.05 1.28 5.08 4.05 17.16 24.0 2367000 13.074 21.76 8.87 0.72 5.92 10.50 6.74 12.93 23.3 2368000 2.220 2.26 13.41 12.91 10.57 1.72 9.42 8.70 22.6 2369000 6.231 21.97 17.95 1.57 15.21 7.15 12.10 4.47 21.9 2370000 10.242 2.46 3.35 13.76 19.86 12.57 0.12 0.24 21.2 2371000 14.253 22.17 7.89 2.43 24.50 3.79 2.80 15.32 20.5 2372000 3.399 2.67 12.44 14.62 29.14 9.22 5.48 11.09 19.8 2373000 7.410 22.38 16.98 3.29 33.78 0.43 8.17 6.85 19.1 2374000 11.422 2.88 2.38 15.48 0.15 5.86 10.85 2.62 18.4 2375000 0.567 22.59 6.93 4.14 4.79 11.28 13.53 17.70 17.7 2376000 4.579 3.08 11.46 16.33 9.43 2.50 1.55 13.47 16.9 2377000 8.590 22.79 16.01 5.00 14.08 7.93 4.23 9.24 16.2 2378000 12.601 3.29 1.41 17.19 18.72 13.35 6.92 5.01 15.5 2379000 1.747 23.00 5.95 5.86 23.36 4.57 9.60 0.77 14.8 2380000 5.758 3.50 10.49 18.04 28.01 10.00 12.28 15.85 14.1 2381000 9.769 23.20 15.03 6.71 32.65 1.21 0.30 11.62 13.4 2382000 13.780 3.70 0.43 18.90 37.29 6.64 2.98 7.39 12.7 2383000 2.926 23.41 4.98 7.57 3.65 12.06 5.66 3.16 12.0 2384000 6.937 3.91 9.52 19.76 8.30 3.28 8.35 18.24 11.3 2385000 10.949 23.62 14.06 8.42 12.94 8.71 11.03 14.01 10.6 2386000 0.094 4.12 18.61 20.61 17.58 14.12 13.71 9.78 9.9 2387000 4.106 23.82 4.00 9.28 22.23 5.35 1.73 5.54 9.2 2388000 8.117 4.32 8.55 21.47 26.87 10.78 4.41 1.31 8.5 2389000 12.128 24.03 13.09 10.14 31.51 2.00 7.10 16.39 7.8 2390000 1.274 4.53 17.63 22.32 36.16 7.42 9.78 12.16 7.1 2391000 5.285 24.24 3.03 10.99 2.52 12.84 12.46 7.93 6.4 2392000 9.296 4.74 7.58 23.18 7.16 4.06 0.48 3.70 5.7 2393000 13.307 24.45 12.12 11.85 11.80 9.49 3.16 18.78 5.0 2394000 2.453 4.95 16.66 0.52 16.45 0.70 5.84 14.54 4.3 2395000 6.464 24.65 2.06 12.70 21.09 6.13 8.53 10.31 3.6 2396000 10.476 5.15 6.60 1.37 25.73 11.55 11.21 6.08 2.8 2397000 14.487 24.86 11.15 13.56 30.38 2.77 13.89 1.85 2.1 2398000 3.633 5.36 15.69 2.23 35.02 8.20 1.91 16.93 1.4 2399000 7.644 25.07 1.09 14.42 1.38 13.62 4.59 12.70 0.7 2400000 11.655 5.56 5.63 3.09 6.02 4.84 7.28 8.47 0.0 41 TABLE lib. Epochs and Arguments for ear.h Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. Juii2? Period. 11 li' y-u (y-ll') ARG. 1. 1'. 2. 2'. 0.000 0.000 O l< H O H II d. d. 2 100000 354 3268.55 -H).37 25 1649.8 -0.3 27.0175339 -1-0329 7.505986 -022 2401000 211 1097.01 0.39 78 1483.2 0.3 7.4991263 0344 21.335956 023 2102000 67 2525.49 0.41 131 1316.6 0.3 15.5352726 0359 3.353990J 024 2408000 284 353.99 0.42 184 1149.9 0.3 23.5714205 0375 17.1839591 025 2104000 140 1782.50 0.44 237 983.3 0.3 4.0530174 0390 31.013926 026 2405000 356 3211.03 0.46 290 816.7 0.3 12.0891684 0405 13.031957 027 2406000 213 1039.58 0.48 343 650.0 0.4 20.1253208 0421 26.861922 028 2407000 69 2468.14 0.50 36 483.3 0.4 0.6069224 0436 8.879951 029 2 108000 286 296.72 0.51 89 316.6 0.4 8.6430779 0452 22.709914 030 2409000 142 1725.32 0.53 142 149.9 0.4 16.6792349 0467 4.727941 031 2410000 358 3153.94 0.55 194 3583.2 0.4 24.7153935 0482 18.557902 032 2411000 215 982.57 0.57 247 3416.5 0.4 5.1970011 0497 0.575927 033 2412000 71 2411.22 0.59 300 3249.8 0.4 13.2331628 0512 14.405886 034 2413000 288 239.89 0.60 353 3083.0 0.4 21.2693259 0528 28.235845 085 2414000 144 1668.57 0.62 46 2916.3 0.4 1.7509382 0543 10.253866 036 2415000 0 3097.28 0.63 99 2749.5 0.4 9.7871044 0558 24.083823 037 2416000 217 926.00 0.65 152 2582.7 0.5 17.8232722 0574 6.101842 038 2417000 73 2354.73 0.67 205 2415.9 0.5 25.8594414 0589 19.931797 039 2418000 290 183.49 0.68 258 2249.1 0.5 6.3410598 0605 1.949814 040 2419000 146 1612.26 0.70 311 2082.3 0.5 14.3772322 0620 15.779767 041 2120000 2 3041.05 0.72 4 1915.5 0.5 22.4134060 0635 29.609718 042 2421000 219 869.85 0.74 57 1748.6 0.5 2.8950290 0650 11.627732 043 2422000 75 2298.68 0.76 110 1581.8 0.5 10.9312059 0665 25.457682 044 2123000 292 127.52 0.77 163 1414.9 0.5 18.9673844 0681 7.475694 045 2424000 148 1556.38 0.79 216 1248.0 0.5 27.0035644 0696 21.305642 046 2425000 4 2985.25 0.80 269 1081.1 0.5 7.4851935 0711 3.323652 047 2426000 221 814.14 0.82 322 914.2 0.6 15.5213766 0727 17.153397 048 2427000 77 2243.05 0.84 15 747.3 0.6 23.5575612 0742 30.983542 019 2428000 294 71.98 0.85 68 580.4 0.6 4.0391949 0758 13.001549 050 2429000 150 1500.93 0.87 121 413.5 0.6 12.0753826 0773 26.831491 051 2430000 6 2929.89 0.89 174 246.5 0.6 20.1115718 0788 8.849497 052 2131000 223 758.87 0.91 227 79.5 0.6 0.5932101 0803 22.679437 053 2 132000 79 2187.86 0.93 279 3512.6 0.6 8.6294024 0819 4.697440 05 I 2 133000 296 16.88 0.94 332 3345.6 0.7 16.6655962 0834 18.527379 055 2134000 152 1445.91 0.96 25 3178.6 0.7 24.7017915 0850 0.545380 056 2 135000 8 2874.96 0.97 78 3011.6 0.7 5.1834360 0865 14.375316 057 2 130000 225 704.02 0.99 131 2844.5 0.7 13.2196344 0880 28.205251 058 8437000 81 2133.10 1.01 184 2677.5 0.7 21.2558343 0896 10.223250 059 2488000 297 3562.20 1.02 237 2510.5 0.8 1.7374834 0911 24463183 060 2489000 154 1391.32 1.04 290 2313.1 0.8 9.7736864 0927 6.071179 061 2440000 10 2820.46 1.06 343 2176.3 0.8 17.8098910 0942 19.901110 062 2111000 227 649.61 1.08 36 2009.2 0.8 25.8460971 0957 1.919104 063 2442000 S3 201 -v 7s 1.10 89 1842.1 0.8 6.3277523 0972 15.749033 064 2448000 299 3507.97 1.11 142 1675.0 0.8 14.3639615 0988 29.57*96 1 065 2 1 1 1000 156 1337.17 1.13 195 1507.9 0.8 22.4001722 1003 11.596952 066 •J 11 5000 12 2766.39 1.15 248 1340.8 0.8 2.8818320 1018 25.426878 067 2 1 KiOOO 229 595.63 1.17 301 1173.6 0.9 10.9180457 1034 7.444867 068 2447000 85 202l.su 1.19 351 1006.5 0.9 18.95121! 11 1049 21.274791 069 2448000 301 3454.16 1.20 47 839.3 0.9 26.91)0177!) 1065 8.292778 070 2449000 15N usjur, 1.22 100 672.1 0.9 7.472143!) 1080 17.122700 071 2450000 11 2712.76 •+•1.24 153 504.9 -0.9 15.50S3H3!) + 1095 30.952622 —072 42 TABLE III. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. JuliMod. H ll' y-U (y-H') ARG. 1. 1 '. 2. »'. 0.000 0.000 O H • O II y d. d. 2450000 14 2712.76 -+-1.24 153 504.9 -0.9 15.5083639 +1095 30.952622 -072 2451000 231 542.09 1.26 206 337.7 0.9 23.5445853 1110 12.970606 073 245-2000 87 1971.43 1.28 259 170.5 0.9 4.0262559 1126 26.800525 074 2453000 303 3100.79 1.29 312 3.3 0.9 12.0624804 1141 8.818507 075 2451000 160 1230.17 1.31 4 3436.0 0.9 20.0987065 1157 22.648424 076 2455000 16 2659.56 1.32 57 3268.8 0.9 0.5803817 1172 4.666404 077 2 156000 233 488.97 1.34 110 3101.5 1.0 8.6166109 1187 18.496319 078 2457000 89 1918.40 1.36 163 2934.2 1.0 16.6528416 1203 0.514296 079 2458000 305 3347.85 1.37 216 2766.9 1.0 24.6890738 1218 14.314209 080 2459000 162 1177.32 1.39 269 2599.6 1.0 5.1707552 1234 28.174121 081 2460000 18 2606.80 1.41 322 2432.3 1.0 13.2069906 1249 10.192097 082 2461000 235 436.30 1.43 15 2265.0 1.0 21.2432275 1264 24.022007 083 2162000 91 1865.82 1.45 68 2097.6 1.0 1.7249134 1280 6.039980 084 2463000 307 8295.35 1.46 121 1930.3 1.0 9.7611534 1295 19.869887 085 2464000 164 1124.90 1.48 174 1762.9 1.0 17.7973949 1311 1.887858 086 2465000 20 2554.47 1.49 227 1595.6 1.0 25.8336379 1326 15.717764 087 2466000 237 384.05 1.51 280 1428.2 1.1 6.3153300 1341 29.547669 088 2467000 93 1813.66 1.53 333 1260.8 1.1 14.3515761 1357 11.565637 089 2468000 309 3243.28 1.54 26 1093.4 1.1 22.3878238 1372 25.395539 090 2169000 166 1072.92 1.56 79 925.9 1.1 2.8695206 1388 7.413505 091 2470000 22 2502.58 1.58 132 758.5 1.1 10.9057714 1403 21.243406 092 2471000 239 332.25 1.60 185 591.0 1.1 18.9420237 1418 3.261370 093 2 172000 95 1761.94 1.62 238 423.6 1.1 26.9782775 1434 17.091268 094 2473000 311 3191.65 1.63 291 256.1 1.1 7.4599805 1449 30.921166 095 2474000 168 1021.37 1.65 344 88.6 1.1 15.4962374 1465 12.939127 096 2475000 24 2451.11 1.67 36 3521.1 1.1 23.5324959 1480 26.769022 097 2176000 241 280.87 1.69 89 3353.6 1.2 4.0142035 1496 8.786981 099 2477000 97 1710.65 1.71 142 3186.1 1.2 12.0504650 1512 22.616874 100 2478000 313 3140.44 1.72 195 3018.6 1.2 20.0867281 1527 4.634831 101 2479000 170 970.26 1.74 248 2851.0 1.2 0.5684403 1543 18.464723 102 2480000 26 2100.09 1.76 301 2683.4 1.2 8.6047066 1558 0.482677 103 2481000 243 229.94 1.78 354 2515.9 1.2 16.6409743 1573 14.312566 104 2482000 99 1659.80 1.80 47 2348.3 1.2 24.6772436 1589 28.142454 105 2483000 315 3089.69 1.81 100 2180.7 1.3 5.1589620 1604 10.160106 106 2484000 172 919.59 1.83 153 2013.1 1.3 13.1952344 1620 23.990294 107 2485000 28 2349.50 1.84 206 1845.5 1.3 21.2315084 1635 6.008243 108 2486000 245 179.44 1.86 259 1677.8 1.3 1.7132314 1651 19.838127 109 2487000 101 1609.39 1.88 312 1510.2 1.4 9.7495084 1667 1.856075 110 2488000 317 3039.36 1.89 5 1342.5 1.4 17.7857870 1682 15.685956 111 2489000 171 869.35 1.91 58 1174.9 1.4 25.8220671 1698 29.515837 112 2490000 30 2299.35 1.93 111 1007.2 1.4 6.3037963 1713 11.533782 113 2491000 247 129.37 1.95 164 839.5 1.4 14.3400795 1728 25.363662 114 2492000 103 1559.41 1.97 217 671.8 1.4 22.3763642 1744 7.381605 115 2193000 319 2989.47 1.98 270 504. 1 1.4 2.8580981 1759 21.211481 116 2494000 176 819.54 2.00 323 336.3 1.4 10.8943860 1775 3.229422 117 2495000 32 2249.63 2.02 16 168.6 1.5 18.9306754 1790 17.059297 118 2496000 249 79.74 2.04 69 0.8 1.5 26.9669663 1805 30.889171 119 2197000 105 1509.87 2.06 121 3433.1 1.5 7.4487064 1821 12.907108 120 2498000 321 2940.01 2.07 174 3265.3 1.5 15.4850004 1836 26.736981 121 2199000 178 770.17 2.09 227 3097.5 1.5 23.5212960 1852 8.754916 122 2500000 34 2220.35 +2.11 280 2929.7 — 1.5 4.0030408 +1867 22.584786 —123 43 TABLE II&. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juiKriod. ARG. 3. 3'. 4. S. 5'. 6. 7. 8. 9. 0.0000 0.00 d. d. d. d. d. d. d. 2400000 25.523420 +08 45.9880 319.7423 -1-03 13.0559 6.8500 1.6577 3.2226 2401000 21.483436 08 315.4686 84.3872 04 2.4961 7.0233 1.4824 19.7294 240-2000 17.4 13 I.V2 08 219.6896 260.8172 04 26.7831 7.1967 1.3071 6.4331 2403000 13.403468 09 123.9105 25.4621 04 16.2232 7.3700 1.13H 2-2.9401 2404000 9.363485 09 28.1314 201.8922 04 5.6633 7.5434 0.9566 9.6441 2405000 5.323502 09 297.6121 378.3224 04 29.9503 7.7167 0.7813 26.1509 2406000 1.283520 10 201.8330 142.9673 05 19.3904 7.8901 0.6060 12.8549 2407000 26.774125 10 106.0540 319.3975 05 8.8305 8.0634 0.4307 29.3617 2408000 22.734144 10 10.2749 84.0425 05 33.1175 8.2368 0.2555 18.0657 2409000 18.694162 11 279.7555 260.4727 05 22.5576 8.4101 0.0802 2.7696 2410000 14.654181 11 183.9765 25.1177 05 11.9977 8.5835 15.2922 19.2765 2411000 10.614200 11 88.1974 201.5479 05 1.4377 8.7569 15.1169 5.9805 2412000 6.574220 12 357.6780 377.9782 06 25.7247 8.9302 14.9416 2-2.4873 2413000 2.534239 12 261.8990 142.6233 06 15.1648 9.1036 14.7664 9.1912 2414000 28.024848 12 166.1199 319.0535 06 4.6049 9.2769 14.5911 25.6981 2415000 23.984868 13 70.3408 83.6987 06 28.8919 9.4503 14.4158 12.4021 2416000 19.944889 13 339.8215 260. 1290 06 18.3320 0.0100 14.2405 28.9088 2417000 15.904910 13 244.0424 24.7742 07 7.7721 0.1833* 14.0652 15.61-27 2418000 11.864932 14 148.2634 201.2045 07 32.0591 0.3567 13.8900 2.3168 2419000 7.824954 14 52.4843 377.6349 07 21.4992 0.5300 13.7147 18.8237 2420000 3.784977 15 321.9649 142.2801 07 10.9393 0.7034 13.5394 5.5277 2421000 29.275587 15 226.1859 318.7105 07 0.3793 0.8768 13.3641 22.0!! 15 2422000 25.235610 15 130.4068 83.3557 07 24.6663 1.0501 13.1888 8.7385 2 1-23000 21.195634 16 34.6277 259.7862 08 14.1064 1.2235 13.0136 25.2454 2424000 17.155657 16 304.1084 24.4315 08 3.5465 1.3969 12.8383 11.9494 2425000 13.115681 16 208.3293 200.8620 08 27.8335 1.5702 12.6630 28.4562 2426000 9.075706 17 112.5502 377.2924 08 17.2735 1.7436 12.4877 15.1602 2427000 5.035731 17 16.7712 141.9378 08 6.7136 1.9170 12.3124 1.8642 2428000 0.995756 17 286.2518 318.3683 08 31.0006 2.0903 12.1372 18.3710 2429000 26.486369 18 190.4728 83.0137 09 20.4407 2.2637 11.9619 5.0750 2430000 22.446395 18 94.6937 259.4443 09 9.8807 2.4371 11.7866 21.5819 2431000 18.406421 18 364.1743 24.0897 09 31.1677 2.6105 11.6113 8.2859 2432000 14.366448 19 268.3953 2(10.5203 09 23.6078 2.7838 11.4360 24.7928 3489000 10.326475 19 172.6162 376.9509 09 13.0179 2.9572 11.2608 11.4968 2 134000 6.286502 19 76.8371 141.5964 10 2.4879 3.1306 11.0855 28.0036 2435000 2.246530 20 346.3178 318.0270 10 26.7749 3.3039 '10.9102 14.7076 2436000 27.737146 20 250.5387 82.6725 10 16.2150 3.4773 10.7349 1.4117 2437000 23.697174 21 154.7596 259.1032 10 5.6550 3.6507 10.55!)<; 17.9185 2438000 19.657203 21 58.9806 23.7488 10 29.9420 3.8240 10.3N 1 1 4.6-225 2439000 15.617232 21 328.4612 200.1795 10 19.3821 3.9974 10.20!ll 21.1294 2440000 11.577261 22 232.6822 376.6103 11 8.8221 4.1708 10.0338 7.8335 2411000 7.537291 22 136.9031 141.2559 11 33.1091 4.3443 9.8585 24.3103 •2 1 1-2000 3.497321 22 41.1240 317.6866 11 22.5-491 4.5176 9.6832 11.0443 •2 II. •{()()() 28.987940 23 310.6047 H-2.: U3-23 11 11.9892 4.6910 9.5080 27.5512 2444000 24.947970 23 214.8256 258.7631 11 1.4292 4.8643 9.3327 14.255-2 2446000 20.908002 23 119.0465 23.4087 12 25.7162 5.0377 9.1574 0.9593 3446000 16.H(iNo:i:t 21 23.2675 199.8396 12 15.1562 5.2111 8.9822 17.4661 •2 1 17000 12.828065 24 292.7481 376.2705 12 4.5968 5.38 1 1 8.8069 4.1702 3448000 8.78M»;r, 24 196.9690 140.!) 1(1-2 12 2K.8N33 5.5578 8.6317 20.6770 2 1 litOOO 4.74si:to 25 101.1900 317.3171 13 18.3-233 5.731 '2 8.4564 7.3811 '2 l.')0000 0.708163 -(-25 5.4109 81.9929 +12 7.7634 5.9016 8.2811 23.8880 44 TABLE 116. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juiKiod. ARG. 3. 3'. 4. 5. 5. 6. 7. 8. 9. d. 0.0000 d. d. 0.00 d. d. d. d. 2450000 0.708163 +25 5.4109 81.9929 -t-12 7.7634 5.9046 8.2811 23.8880 2451000 26.198784 25 274.8916 258.4238 13 32.0503 6.0780 8.1058 10.5921 2452000 22.158818 26 179.1125 23.0696 13 21.4904 6.2514 7.9305 27.0989 2453000 18.118852 26 83.3334 199.5006 13 10.9304 6.4248 7.7553 13.8030 2454000 14.078886 27 352.8141 375.9316 13 0.3705 6.5982 7.5800 0.5070 2455000 10.038921 27 257.0350 140.5774 13 24.6574 6.7716 7.4047 17.0139 2456000 5.998956 27 161.2559 317.0084 13 14.0975 6.9449 7.2295 3.7180 2457000 1.958991 . 28 65.4769 81.6543 14 3.5375 7.1183 7.0542 20.2248 2458000 27.449615 28 334.9575 258.0854 14 27.8245 7.2917 6.8790 6.9289 2459000 23.409651 28 239.1784 22.7313 14 17.2645 7.4651 6.7037 23.4358 2460000 19.369687 29 143.3994 199.1625 14 6.7045 7.6385 6.5284 10.1399 2461000 15.329724 29 47.6203 375.5936 14 30.9915 7.8119 6.3531 26.6467 2462000 11.289761 29 317.1010 140.2396 15 20.4315 7.9853 6.1779 13.3508 2463000 7.249799 30 221.3219 316.6707 15 9.8716 8.1587 6.0026 0.0549 2464000 3.209837 30 125.5428 81.3167 15 34.1585 8.3321 5.8274 16.5618 2465000 28.700463 30 29.7638 257.7479 15 23.5985 8.5055 5.6521 3.2659 2466000 24.660502 31 299.2444 22.3940 15 13.0386 8.6789 5.4768 19.7728 2467000 20.620541 31 203.4653 198.8252 15 2.4786 8.8523 5.3016 6.4768 2468000 16.580580 32 107.6863 375.2564 16 26.7655 9.0257 5.1263 22.9837 2469000 12.540620 32 11.9072 139.9025 16 16.2056 9.1991 4.9511 9.6878 2470000 8.500660 32 281.3878 316.3339 16 5.6456 9.3725 4.7758 26.1947 2471000 4.460700 33 185.6088 80.9800 16 29.9325 9.5459 4.6005 12.8988 2472000 0.420741 33 89.8297 257.4113 16 19.3725 0.1056 4.4253 29.4057 2473000 25.911370 33 359 3104 22.0575 17 8.8126 0.2790 4.2500 16.1098 2474000 21.871411 34 263.5313 198.4889 17 33.0995 0.4524 4.0748 2.8139 2475000 17.831453 34 167.7522 374.9202 17 22.5395 0.6258 3.8995 19.3208 2476000 13.791495 34 71.9732 139.5665 17 11.9796 0.7993 3.7242 6.0249 2477000 9.751538 35 341.4538 315.9979 17 1.4196 0.9727 3.5490 22.5318 2478000 5.711581 35 245.6747 80.6441 17 25.7065 1.1461 3.3737 9.2359 2479000 1.671624 35 149.8957 257.0756 18 15.1465 1.3195 3.1985 25.7428 2480000 27.162255 36 54.1166 21.7220 18 4.5865 1.4929 3.0232 12.4470 2481000 23.122299 36 323.5972 198.1534 18 28.8734 1.6663 2.8479 28.9539 2482000 19.082343 36 227.8182 374.5849 18 18.3135 1.8397 2.6727 15.6580 2483000 15.042388 37 132.0391 139.2313 18 7.7535 2.0131 2.4974 2.3621 2484000 11.002433 37 36.2601 315.6628 19 32.0404 2.1865 2.3222 18.8690 2485000 6.962478 38 305.7407 80.3092 19 21.4804 2.3599 2.1469 5.5731 2486000 2.922524 38 209.9616 256.7408 19 10.9204 2.5334 1.9716 22.0800 2487000 28.413158 38 114.1826 21.3872 19 0.3604 2.7068 1.7964 8.7841 2488000 24.373205 39 18.4035 197.8188 19 24.6473 2.8802 1.6211 25.2911 2489000 20.333251 39 287.8841 374.2504 19 14.0874 3.0536 1.4459 11.9952 2490000 16.293298 39 192.1051 138.8970 20 3.5274 3.2270 1.2706 28.5021 2491000 12.253346 40 96.3260 315.3287 20 27.8143 3.4004 1.0953 15.2063 2492000 8.213394 40 0.5470 79.9752 20 17.2543 3.5738 0.9201 1.9104 2493000 4.173442 40 270.0276 256.4069 20 6.6943 3.7472 0.7448 18.4173 2494000 0.133490 41 174.2485 21.0534 20 30.9812 3.9207 0.5696 5.1215 2495000 25.624127 41 78.4695 197.4851 20 20.4212 4.0941 0.3943 21.6284 2496000 21.584177 41 347.9501 373.9169 21 9.8612 4.2675 0.2191 8.3325 2497000 17.544226 42 252.1710 138.5635 21 34.1481 4.4410 0.0439 24.8395 2498000 13.504276 42 156.3920 314.9953 21 23.5881 4.6144 15.2559 11.5436 2499000 9.464326 43 60.6129 79.6419 21 13.0281 4.7878 15.0807 28.0505 2500000 5.424377 -(-43 330.0935 256.0737 +21 2.4681 4.9612 14.9054 14.7547 45 TABLE lib. Epochs and Arguments for eacli Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. «£Kk Aao'O. 11. 12. 13. 14. 15. 16. 17. d. d. d d. d. d. d d 2400000 22.0856 18.9090 37.9433 0.4102 3.527 12.792 7.228 13.489 2401000 22.8395 24.4122 344.7031 2.0351 8.575 5.188 9.435 2.587 2402000 23.5934 3.0372 304.8427 3.6600 13.624 11.775 11.642 19.006 2 103000 24.3473 8.5404 264.9823 5.2849 18.672 •4.171 13849 8104 2404000 25.1011 14.0436 225.1219 6.9098 23.721 10.758 1.802 24.524 2405000 0.2333 19.5469 185.2615 8.5347 28.769 3.153 4.010 13.621 2406000 0.9872 25.0501 145.4010 0.0751 4.555 9.741 6.217 2.719 2407000 1.7410 3.6751 105.5406 1.7000 9.604 2.136 H. 12 1 19.139 2408000 2.4949 9.1783 65.6802 3.3249 14.652 8.724 10.631 8.237 2409000 3.2488 14.6815 25.8198 4.9498 19.700 1.119 12.838 24.657 2410000 4.0027 20.1848 332.5795 6.5747 24.749 7.706 0.791 13.754 2411000 4.7566 25.6880 292.7191 8.1996 0.534 0.102 2.998 2.852 2412000 5.5105 4.3129 252.8586 9.8245 5.582 6.689 5.205 19.271 2113000 6.2644 9.8162 212.9982 1.3648 10.631 13.277 7.412 8.369 2414000 7.0183 15.3194 173.1378 2.9897 15.679 5.672 9.619 24.789 2415000 7.7721 20.8226 133.2774 4.6146 20.728 12.260 11.826 13.887 2416000 8.5260 26.3259 93.4169 6.2396 25.776 4.655 14.033 2.985 2417000 9.2799 4.9508 53.5565 7.8645 1.561 11.243 1.986 19.404 211HOOO 10.0338 10.4540 13.6961 9.4894 6.610 3.638 4.193 8.502 2419000 10.7877 15.9572 320.4557 1.0297 11.658 10.225 6.401 24.922 2420000 11.5416 21.4605 280.5952 2.6546 16.707 2.621 8.608 14.0?0 2421000 12.2955 0.0854 240.7348 4.2795 21.755 9.208 10.815 3.117 3422000 13.0194 5.5886 200.8743 5.9044 26.804 1.604 13.022 19.537 2 123000 13.8033 11.0918 161.0139 7.5293 2.589 8.191 0.975 8.635 2424000 14.5572 16.5950 121.1534 9.1542 7.638 0.587 3.182 25.055 2425000 15.3111 22.0983 81.2930 0.6945 12.686 7.174 5.389 14.152 2426000 16.0650 0.7232 41.4325 2.3195 17.735 13.762 7.596 3.2M 2 127000 16.8189 6.2264 01.5720 3.9444 22. 7 S3 6.157 9.803 19.670 2 128000 17.5728 11.7296 308.3317 5.5693 27.831 12.745 12.010 8.768 2 129000 18.3267 17.2328 268.4712 7.1942 3.617 5.140 14.217 25.188 2430000 19.0806 22.7360 228.6107 8.8191 8.665 11.727 2.171 14485 2131000 19.83 1:> 1.3609 188.7503 0.3594 13.713 4.123 4.878 3.383 2432000 20.5884 6.8641 148.8898 1.9843 18.762 10.710 6.585 19.802 2133000 21.3423 12.3(173 109.0293 3.6092 23.810 3.10(i 8.793 8.900 2131000 22.0963 17.8706 69.1688 5.23 1 1 28.859 9.693 10.999 25.320 2435000 22.8502 23.3738 29.3083 6.8590 4.641 2.088 13.206 14.418 2436000 23.6041 1.9987 336.0679 8.4840 9.693 8.676 1,159 3.516 2 137000 21.3581 7.5019 296.2075 0.02 13 11.711 1.071 8.366 19.935 2138000 25.1120 13.0051 256.3470 1.6192 19.790 7.659 5.573 9.083 2 139000 0.2112 18.5083 216.4865 3.27 1 1 24.838 0.054 7.780 25.453 2 1 10000 0.9981 24.0115 176.6260 4.8990 0.625 6.612 9.988 I4.r.5i 2411000 1.7520 3.6861 136.7655 6.5239 5.679 13.229 12.195 8.648 2112000 2.5059 8.1395 96.9050 N.I IN-, 10.720 6.624 0.148 20.0CN 2 1 KiOOO 3.2599 13.!)0 S.976 .'{.781 2 1 17000 6.2756 N.7772 244.222: 6.1888 6.69) 10.177 11.IN3 20.201 3448000 7.0294 14.2804 804.8834 7.8137 11.718 2.573 13.3il() 9.299 211(1000 7.7888 19.7*::ii H; 1.5014 9.4384 16.796 9.160 1.844 25.718 2 I :.()( MM) 25.2868 124.6409 0.9789 21.844 1.556 3.551 11.NJ6 46 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. -.«-" ••• " - " «• •« - d. d. d d. d. d. d. d. 2150000 8.5374 25.2868 124.6409 0.9789 21.844 1.556 3.551 14.816 2451000 9.2913 3.9117 84.7804 2.6038 26.892 8.143 5.758 3.914 2452000 10.0453 9.4148 44.9198 4.2287 2.678 0.539 7.965 20.334 2453000 10.7992 14.9180 5.0593 5.8536 7.726 7.126 10.172 9.431 2454000 11.5532 20.4212 311.8189 7.4785 12.775 13.714 12.379 25.851 2455000 12.3071 25.9244 271.9583 9.1034 17.823 6.109 0.332 14.949 2456000 13.0611 4.5492 232.0978 0.6438 22.871 12.697 2.539 4.047 2457000 13.8150 10.0524 192.2372 2.2687 27.920 5.092 4.746 20.466 2458000 14.5690 15.5556 152.3767 3.8936 3.705 11.680 6.953 9.564 2459000 15.3229 21.0588 112.5161 5.5185 8.753 4.073 9.160 25.984 2460000 16.0769 26.5619 72.6556 7.1434 13.802 10.662 11.368 15.082 2461000 16.8309 5.1868 32.7950 8.7683 18.851 3.058 13.575 4.180 2462000 17.5848 10.6900 339.5545 0.3086 23.899 9.645 1.528 20.599 2463000 18.3388 16.1931 299.6940 1.9335 28.947 2.041 3.735 9.697 2464000 19.0927 21.6963 259.8334 3.5584 4.733 8.628 5.943 26.117 2465000 19.8467 0.3212 219.9729 5.1833 9.781 1.024 8.150 15.214 2466000 20.6007 5.8243 180.1123 6.8082 14.829 7.611 10.357 4.312 2467000 21.3546 11.3275 140.2517 8.4331 19.878 0.007 12.564 20.732 2468000 22.1086 16.8307 100.3911 10.0580 24.926 6.594 0.517 9.830 2469000 22.8625 22.3338 60.5306 1.5983 0.711 13.182 2.724 26.250 2470000 23.6165 0.9587 20.6699 3.2232 5.760 5.577 4.931 15.347 2471000 24.3705 6.4618 327.4295 4.8481 10.808 12.165 7.138 4.445 2472000 25.1245 11.9650 287.5689 6.4730 15.857 4.560 9.345 20.865 2473000 0.2568 17.4681 247.7083 8.0979 20.905 11.148 11.552 9.963 2474000 1.0107 22.9713 207.8477 9.7228 25.954 3.543 13.760 26.383 2475000 1.7647 1.5961 167.9871 1.2631 1.739 10.130 1.713 15.480 2476000 2.5187 7.0993 128.1265 2.8881 6.787 2.526 3.920 4.578 2477000 3.2727 12.6024 88.2659 4.5130 11.836 9.113 6.127 20.998 2478000 4.0266 18.1056 48.4053 6.1379 16.884 1.509 8.334 10.095 2479000 4.7806 23.6087 8.5447 7.7628 21.932 8.096 10.542 26.515 2480000 5.5346 2.2336 315.3042 9.3877 26.981 0.492 12.748 15.613 2481000 6.2886 7.7367 275.4436 0.9280 2.766 7.079 0.702 4.711 2482000 7.0426 13.2399 235.5830 2.5529 7.814 13.667 2.909 21.130 2483000 7.7965 18.7430 195.7223 4.1778 12.863 6.062 5.116 10.228 2484000 8.5506 24.2462 155.8617 5.8027 17.911 12.650 7.323 26.648 2485000 9.3046 2.8710 116.0011 7.4276 22.960 5.045 9.530 15.746 2486000 10.0585 8.3742 76.1405 9.0525 28.008 11.632 11.737 4.844 2487000 10.8125 13.8773 36.2799 0.5928 3.793 4.028 13.945 21.263 2488000 11.5665 19.3804 343.0394 2.2177 8.842 10.615 1.898 10.361 2489000 12.3205 24.8836 303.1787 3.8426 13.890 3.011 4.105 26.781 2490000 13.0745 3.5084 263.3181 5.4675 18.939 9.598 6.312 15.879 2191000 13.8285 9.0115 223.4575 7.0924 23.987 1.994 8.519 4.977 2492000 14.5825 14.5147 183.5968 8.7173 29.035 8.581 10.726 21.396 2493000 15.3365 20.0178 143.7362 0.2576 4.821 0.977 12.933 10.494 2494000 16.0905 25.5209 103.8755 1.8825 9.869 7.564 0.887 26.914 2495000 16.8445 4.1458 64.0149 3.5074 14.917 14.151 3.094 16.011 2496000 17.5985 9.6489 24.1542 5.1324 19.966 6.547 5.301 5.109 2497000 18.3525 15.1520 330.9137 6.7573 25.014 13.134 7.508 21.529 2498000 19.1065 20.6551 291.0530 8.3822 0.799 5.530 9.715 10.627 2499000 19.8605 26.1583 251.1924 10.0071 5.848 12.117 11.922 27.047 2500000 20.6145 4.7831 211.3316 1.5474 10.896 4.513 14.129 16.144 47 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juiSS'pSriod. AEG- 18> 1O- 2O> 2I- 22> 23- 24> 25- 2G- 2400000 8.137 d. 18.503 12.791 118.93 <]. 3.342 10.320 d. 8.124 5.633 d. 2.449 2401000 1.031 22.113 10.580 65.56 7.371 11.786 12.386 3.345 0.961 2402000 3.798 1.421 8.368 12.19 11.400 13.252 3.373 1.057 5.295 2403000 6.564 5.031 6.156 90.49 15.430 14.718 7.636 8.137 3.807 2404000 9.332 8.641 3.944 37.12 19.459 16.183 11.898 5.850 2.319 2 105000 2.225 12.251 1.733 115.43 23.488 17.649 2.885 3.563 0.831 2406000 4.993 15.861 13.838 62.06 27.518 19.115 7.148 1.275 5.165 2407000 7.759 19.471 11.626 8.69 31.547 20.580 11.410 8.355 3.677 240SOOO 0.653 23.081 9.414 86.99 :i. i is 22.046 2.396 6.068 2.189 2409000 3.420 2.389 7.202 33.62 7.478 23.512 6.659 3.780 0.700 2410000 6.188 5.999 4.991 111.93 11.507 1.203 10.921 1.493 5035 2411000 8.954 9.610 2.779 58.56 15.536 2.669 1.908 8.573 3.547 2412000 1.848 13.220 0.567 5.19 19.566 4.135 6.171 6.285 2.059 2413000 4.615 16.830 12.672 83.49 23.595 5.600 10.433 3.998 0.571 2414000 7.382 20.440 10.461 30.12 27.624 7.066 1.419 1.711 4.905 2115000 0.276 24.050 8.249 108.42 31.654 8.532 5.682 8.790 3.417 2416000 3.043 3.358 6.037 55.05 3.555 9.997 9.945 6.503 1.929 2417000 5.810 6.968 3.825 1.69 7.584 11.463 0.931 4.216 0.440 2418000 8.577 10.578 1.613 79.99 11.614 12.928 5.194 1.928 4.775 2419000 1.471 14.188 13.718 26.62 15.6*3 14.394 9.456 9.008 3.287 2420000 4.238 17.798 11.507 104.93 19.672 15.860 0.442 6.721 1.799 2421000 7.004 21.408 9.295 51.56 23.702 17.326 4.705 4.434 0.311 2422000 9.771 0.716 7.083 129.86 27.731 18.792 8.968 2.146 4.615 24-23000 2.666 4.326 4.871 76.49 31.760 20.258 13.230 9.226 3.157 2424000 5.433 7.936 2.660 23.12 3.662 21.723 4.217 6.938 1.669 2425000 8.199 11.547 0.448 101.43 7.691 23.189 8.479 4.651 0.181 2426000 1.093 15.157 12.553 48.06 11.720 0.880 12.741 2.364 4.515 2427000 3.860 18.767 10.342 126.36 15.750 2.315 3.728 0.077 3.027 2428000 6.627 22.377 8.130 72.99 19.779 3.811 7.991 7.156 1.539 2429000 9.394 1.685 5.918 19.63 23.808 5.277 12.253 4.869 5.874 2430000 2.288 5.295 3.706 97.93 27.838 6.743 3.240 2.582 4.385 2431000 5.055 8.905 1.494 44.56 31.867 8.209 7.503 0.29 4 2.897 2432000 7.822 12.516 13.599 122.86 3.769 9.675 11.765 7.374 1.409 2433000 0.716 16.126 11.388 69.49 7.798 11.141 2.752 5.087 5.744 2 134000 3.483 19.736 9.176 16.12 11.827 12.606 7.014 2.789 4.256 2435000 6.250 23.346 6.964 94.43 15.857 1 4.072 11.276 0.512 2.767 2436000 9.017 2.654 4.753 41.06 19.884 15.538 2.263 7.893 1.279 2437000 1.911 6.264 2.541 11946 2:5.!) 15 17.003 <;. .->•„><; 5.30 1 5.6 1 t 243-.000 4.678 9.874 0.329 (i:.. H!) 27.9 li> 18.469 10.78S 3.017 4.126 2 139000 7.444 13.485 12.434 12.62 31.971 19.935 1.775 0.730 2.638 2 1 10000 0.339 17.095 10.223 90.93 3.875 21.401 6.038 7.810 1.149 •41 11000 3.10(i 20.705 8.011 37.;>ii 7.90.-) 22.867 10.300 5.SS8 5.484 M49000 Mm 84316 5.799 1 1 5.M6 11.934 0.55M 1 .2N6 8.389 8.996 •J 1 13000 8.639 8.688 3.587 62.49 15.963 2.023 5.5 J!) 0.948 2.508 2 1 1 1000 1.534 7.233 1.375 9.13 19.993 3.489 9.812 8.027 1.019 •J II :.000 4.301 10.844 13.461 87.43 24.022 4.955 0.798 5.740 5.354 8446000 7.067 14.454 11.269 3 i.o<; 28.051 6.420 5.061 3.453 3.866 B447000 !».s;u 18.064 9.057 1 12.36 32.081 7.661 9.881 1.165 2.378 2448000 2.728 21.674 6.846 r.D.oo 3.982 9.351 0.310 8.245 0.890 2449000 5.495 0.982 4.634 5.63 8.011 10.817 4.572 5.956 5.224 2450009 8.869 4.592 2.422 83.93 12.041 12.283 8.835 3.671 3.736 48 TABLE 116. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. j«iKi.«i. ARG-18. ID. 30. 31. 33. 33. 34. 33. 30. 2450000 d 8.262 4.592 2.422 83.93 d. 12.041 12.283 d. 8.835 d. 3.671 3.736 2451000 1.157 8.203 0.210 30.56 16.070 13.749 13.098 1.383 2.248 245-4000 3.924 11.813 12.316 108.86 20.100 15.215 4.084 8.463 0.760 2453000 6.690 15.423 10.104 55.50 24.129 16.681 8.347 6.176 5.094 2454000 9.457 19.033 7.892 2.13 28.158 18.146 12.609 3.888 3.606 2455000 2.352 22.643 5.680 80.43 0.060 19.612 3.596 1.601 2.118 84*6000 5.119 1.951 3.469 27.06 4.089 21.078 7.859 8.681 0.630 2457000 7.885 5.562 1.257 105.37 8.118 22.543 12.121 6.393 4.964 2458000 0.780 9.172 13.362 52.00 12.148 0.234 3.107 4.106 3.476 2459000 3.547 12.782 11.150 130.30 16.177 1.700 7.370 1.814 1.988 2 160000 6.313 16.393 *8.939 76.93 20.207 3.166 11.633 8.899 0.500 2461000 9.080 20.003 6.727 23.56 • 24.236 4.632 2.620 6.611 4.834 V 162000 1.974 23.613 4.516 101.87 28.265 6.098 6.882 4.324 3.346 2463000 4.741 2.921 2304 48.50 0.167 7.564 11.145 2.037 1.858 2464000 7.508 6.532 0.092 126.80 4.196 9.029 2.131 9.117 0.370 2465000 0.402 10.142 12.197 73.43 8.225 10.495 6.394 6.829 4.704 2466000 3.169 13.752 9.986 20.07 12.255 11.961 10.656 4.542 3.216 2467000 5.938 17.363 7.774 98.37 16.284 13.426 1.643 2.255 1.728 2468000 8.703 20.973 5.562 45.00 20.314 14.892 5.906 9.334 0.240 2469000 1.597 0.281 3.351 123.30 24.343 16.358 10.169 7.047 4.575 2470000 4.364 3.891 1.139 69.94 28.372 17.824 1.155 4.760 3.087 2471000 7.131 7.501 13.244 16.57 0.273 19.290 5.418 2.473 1.599 2 172000 0.025 11.112 11.033 94.87 4.303 20.756 9.680 0.185 0.110 2473000 2.792 14.722 8.821 41.50 8.332 22.221 0.667 7.265 4.445 2474000 5.559 18.332 6.609 119.81 12.362 23.687 4.929 4.978 2.957 2475000 8.326 21.942 4.398 66.44 16.391 1.378 9.192 2.690 1.469 2476000 1.220 1.251 2.186 13.07 20.420 2.844 0.178 0.403 5.803 2477000 3.987 4.861 14.291 91.37 24.450 4 309 4.441 7.483 4.315 2 178000 6.754 8.471 12.079 38.00 28.479 5.775 8.704 5.196 2.827 2179000 9.521 12.082 9.868 116.31 0.380 7.241 12.966 2.908 1.339 2 180000 2.415 15.692 7.656 62.94 4.410 8.707 3.953 0.621 5.673 2 is 1000 5.182 19.302 5.44 4 9.57 8.439 10.173 8.216 7.701 4.185 2482000 7.949 22.913 3.233 87.88 12.469 11.639 12.478 5.413 2.697 2483000 0.843 2.221 1.021 34.51 16.498 13.105 3.465 3.126 1.209 2184000 3.610 5.832 13.126 112.81 20.527 14.570 7.728 0.839 5.544 2485000 6.377 9.442 10.915 59.44 24.557 16.036 11.990 7.919 4.056 2486000 9.144 13.052 8.703 6.08 28.586 17.502 2.977 5.631 2.567 2 IN7000 2.038 16.663 6.492 S 1. 38 0.487 18.967 7.239 3.344 1.079 2488000 4.805 20.273 4.280 31.01 4.517 20.433 11.502 1.057 5.414 2 189000 7.572 23.883 2.068 109.31 8.546 21.899 2.488 8.136 3.926 2490000 0.466 3.191 14.173 55.95 12.575 23.365 6.751 5.849 2.438 2491000 3.233 6.801 11.962 2.58 16.605 1.056 11.014 3.562 0.951 2492000 6.000 10412 9.750 80.88 20.635 2.522 2.000 1.275 5.284 2493000 8.767 14.022 7.538 27.52 24.664 3.988 6.263 8.354 3.796 2494000 1.661 17.633 5.327 105.82 28.693 5.453 10.526 6.067 2.308 2 11)5000 4.428 21.243 3.115 52.45 0.594 6.919 1.512 3.780 0.820 2496000 7.195 0.551 0.903 130.75 4.624 8.385 5.775 1.493 5.154 2 197000 0.089 4.162 13.009 77.39 8.653 9.850 10.038 8.572 3.666 2 198000 2.856 7.772 10.797 24.02 12.683 11.316 1.024 6.285 2.178 2499000 5.623 11.382 8.586 102.32 16.712 12.782 5.287 3.997 0.690 2500000 8.390 14.993 6.374 48.96 20.741 14.248 9.550 1.710 5.024 49 TABLE II&. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. Julftpbriud. ABG 27- S8< 3U> 30' 3I' 3~ 33' *•*• 35' 2400000 15.66 d. 19.352 4.605 5.551 d. 11.37 d. 7.36 d. 11.24 5.99 ii 1.56 2401000 8.43 17.780 21.696 9.942 0.61 9.55 5.27 3.56 19.93 2402000 1.20 16.207 6.023 3.961 5.18 11.74 31.75 1.13 14.36 2403000 19.80 14.635 23.114 8.352 9.74 13.93 25.78 25.79 8.78 2404000 12.57 13.062 7.441 2.371 14.31 16.12 19.81 23.36 3.21 2405000 5.34 11.490 24.532 6.762 3.55 1.68 13.85 20.93 21.57 2 tOfiOOO 23.94 9.918 8.859 0.781 8.11 3.87 7.88 18.5(1 16.00 2 107000 16.71 8.345 25.950 5.172 12.68 6.06 1.91 16.07 10.43 2408000 9.48 6.773 10.277 9.563 1.92 8.25 28.39 13.14 4.85 2409000 2.25 5.200 27.368 3.582 6.49 10.45 22.42 11.21 23.22 2410000 20.85 3.628 11.695 7.973 11.05 12.64 16.46 8.78 17.65 2411000 13.62 2.056 28.786 1.992 0.30 14.83 10.49 6.35 12.08 2412000 6.39 0.483 13.114 6.382 4.86 0.39 4.52 3.92 6.50 8419000 24.99 37.433 30.205 0.402 9.42 2.58 31.00 1.49 0.93 2414000 17.76 35.860 14.532 4.793 13.99 4.77 25.04 26.15 19.30 2415000 10.53 34.288 31.623 9.183 3.23 6.96 19.06 23.72 13.72 2116000 3.30 32.716 15.950 3.203 7.80 9.15 13.10 21.29 8.15 2417000 21.90 31.143 0.277 7.594 12.37 11.34 7.13 18.86 2.58 2418000 14.67 29.571 17.368 1.613 1.61 13.52 1.16 16.43 20.94 2419000 7.44 27.998 1.695 6.004 6.17 15.72 27.65 14.00 15.37 2420000 0.21 26.426 18.786 0.023 10.73 1.28 21.68 11.57 9.80 iil-.il 000 18.81 24.854 3.113 4.414 15.30 3.47 15.71 9.14 4.22 242-2000 11.58 23.281 20.204 8.804 4.54 5.66 9.74 6.71 22.59 2423000 4.35 21.709 4.531 2.824 9.11 7.85 3.77 4.28 17.02 2421000 22.95 20.136 21.622 7.215 13.68 10.04 30.26 1.85 11.45 2425000 15.72 18.564 5.951 1.234 2.92 12.23 24.29 26.51 5.87 2426000 8.49 17.992 23.040 5.625 7.48 14.42 18.32 24.08 0.30 2427000 1.26 15.419 7.367 10.015 12.05 16.61 12.35 21.65 18.67 2 12NOOO 19.86 13847 24.458 4.035 1.29 2.17 6.38 19.W 13.09 2 129000 12.63 12.274 8.785 8.425 5.85 4.36 0.42 16.79 7.52 2430000 5.40 10.702 25.876 2.445 10.42 6.55 26.90 14.36 1.95 12431000 24.00 9.130 10.203 6.835 14.99 8.74 20.93 11.93 20.31 2 13-Jooo 16.77 7.557 27.294 0.855 4.23 10.93 14.96 9.50 14.74 •J 133000 9.54 5.985 11.621 5.246 8.79 13.12 9.00 7.07 9.17 2434000 2.31 4.412 28.712 9.636 ISM 15.31 3.03 4.64 359 2435000 20.91 2.840 IMM 3.656 2.60 0.87 ' 29.51 2.21 21.96 2 i3(;ooo 13.68 1.268 30.131 8.047 7.16 3.06 23.54 26.87 16.39 2 137000 6.45 38.217 14.458 2.066 11.73 5.25 17.58 24.44 10.81 2138000 25.05 36.645 31.549 6.456 0.98 7.44 11.61 22.01 5.24 2439000 17.82 35.072 15.876 0.476 5.54 9.63 5.64 19.58 23.61 2 1 10000 10.59 33.500 0.203 4.866 10.10 * 11.82 32.12 17.15 18.04 8441000 3.36 31.928 17.294 9.3« 14.67 14.01 26.15 1 1.72 12.46 8449000 21.96 30. :{.-.:> 1.621 3.277 3.91 16.20 20.19 12.89 6.89 2 1 13000 1 1.73 28.783 18.712 7.667 8.47 1.76 14.22 9.86 1.31 2444000 7.50 27.210 3.039 1.687 13.04 3.95 8.25 7.43 19.68 8445000 0.27 25.638 20.131 6.077 2.29 6.14 2.28 5.00 14.11 •il 1 HOI lit 18.87 24066 4.458 0.097 6.85 8.33 28.77 2.57 8.53 8447000 11.64 22. 1!»3 8LM9 4.488 11.11 10.f.2 22.80 0.14 2.96 8448000 4.42 20.921 5.876 B&I8 0.66 12.71 16.83 21.80 21.33 8449000 23.02 19.348 22.967 2.897 5.22 14.90 10.86 22.37 15.76 3460000 15.79 17.776 7.294 7.288 9.78 0.46 4.89 19.94 10.18 50 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000 For Washington Mean Noon. , ,"" 43< 44> 2450000 d. 0.96 d. 15.5 d. 8.97 d. 8.7 d. 9.26 d. 5.07 d. 5.61 d. 7.40 d. 6.7 2451000 13.20 37.2 13.17 8.9 10.55 1.60 0.96 4.29 4.1 2452000 11.73 21.3 17.36 9.1 11.84 16.05 6.47 1.17 1.5 2453000 10.26 5.4 2.77 9.3 13.14 12.58 1.83 12.60 21.7 2454000 8.78 27.2 6.96 9.6 14.43 9.11 7.33 9.49 19.1 2455000 7.31 11.3 11.16 9.8 15.72 5.64 2.69 6.38 16.6 2456000 5.84 33.0 15.35 10.0 17.01 2.17 8.19 3.26 14.0 2457000 4.36 17.2 0.76 10.3 18.30 16.62 3.55 0.16 11.4 2458000 2.89 1.3 4.95 10.5 0.76 13.15 9.05 11.58 8.8 2459000 1.42 23.0 9.15 10.7 2.05 9.68 4.42 8.47 6.2 2460000 13.66 7.1 13.34 10.9 3.34 6.21 9.91 5.36 3.6 2461000 12.19 28.9 17.53 11.1 4.63 2.74 5.28 2.24 1.0 2462000 10.72 13.0 2.94 11.3 5.92 17.19 0.64 13.68 21.2 2463000 9.24 34.7 7.13 11.5 7.22 13.72 6.14 10.56 18.6 2464000 7.77 18.8 11.33 11.7 8.51 10.25 1.50 7.45 16.0 2465000 6.30 3.0 15.52 12.0 9.80 6.78 6.99 4.33 13.4 2466000 4.82 24.7 0.93 12.2 11.09 3.31 2.36 1.22 10.8 2467000 3.35 • 8.8 5.12 12.5 12.38 17.76 7.86 12.65 8.3 2468000 1.88 30.6 9.32 12.7 13.68 14.29 3.22 9.54 5.7 2469000 0.40 14.7 13.51 12.9 14.97 10.82 8.72 6.43 3.1 2470000 12.65 36.4 17.71 13.1 16.26 7.35 4.08 3.31 0.5 2471000 11.18 20.5 3.11 13.3 17.55 3.88 9.58 0.21 20.7 2472000 9.70 4.6 7.31 13.5 0.00 0.41 4.95 11.63 18.1 2473000 8.23 26.4 11.50 13.7 1.30 14.85 0.30 8.52 15.5 2474000 6.76 10.5 15.70 13.9 2.59 11.38 5.81 5.40 12.9 2475000 5.28 32.2 1.10 14.2 3.88 7.91 1.17 2.29 10.3 2476000 3.81 16.4 5.30 14.4 5.17 4.44 6.67 13.73 7.7 2477000 2.34 0.5 9.49 14.6 6.46 0.97 2.03 10.61 5.1 2478000 0.87 22.2 13.69 14.8 7.76 15.42 7.52 7.49 2.6 2479000 13.11 6.3 17.88 15.0 9.05 11.95 2.89 4.38 0.0 2480000 11.64 28.1 3.29 15.2 10.34 8.48 8.39 1.27 20.2 2481000 10.16 12.2 7.48 15.4 11.63 5.01 3.75 12.70 17.6 2482000 8.69 33.9 11.68 15.6 12.92 1.54 9.25 9.59 15.0 2483000 7.22 18.1 15.87 15.8 14.21 15.99 4.62 6.47 12.4 2484000 5.74 2.2 1.28 16.1 15.50 12.52 10.11 3.36 9.8 2485000 4.27 23.9 5.47 16.3 16.80 9.05 5.48 0.26 7.2 2486000 2.80 8.0 9.67 16.5 18.09 5.58 0.83 11.68 4.6 2487000 1.33 29.8 13.86 16.8 0.54 2.11 6.34 8.56 2.0 2488000 13.57 13.9 18.06 17.0 1.83 16.56 1.70 5.45 22.2 2489000 12.10 35.6 3.46 17.2 3.12 13.09 7.19 2.34 19.6 2490000 10.62 19.7 7.66 17.4 4.41 9.62 2.56 13.78 17.0 2491000 9.15 3.9 11.85 17.6 5.70 6.15 8.06 10.66 14.5 2492000 7.68 25.6 16.05 17.8 6.99 2.68 3.42 7.54 11.9 2493000 6.21 9.7 1.45 18.0 8.29 17.13 8.92 4.43 9.3 2494000 4.73 31.5 5.65 18.3 9.58 13.66 4.28 1.32 6.7 2495000 3.26 15.6 9.84 18.5 10.87 10.19 9.78 12.75 4.1 2496000 1.79 37.3 14.04 18.7 12.16 6.72 5.15 9.63 1.5 2497000 0.31 21.4 18.23 19.0 13.45 3.25 0.50 6.52 21.7 2498000 12.56 5.6 3.63 19.2 14.75 17.70 6.01 3.41 19.1 2499000 11.09 27.3 7.83 19.4 16.04 14.23 1.37 0.31 16.5 2500000 9.61 11.4 12.03 19.6 17.33 10.76 6.86 11.73 13.9 53 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. i.^pLrf ARG. 45. 46. 47. 48. 49. 5O. SI. 59. 53. Julian Period. d. d. d d. A. d. d. d. d. 2400000 6.36 14.4 10.53 1267 5.6 21.5 15.85 8.80 68.76 2401000 9.26 27.9 7.12 . 24.84 10.1 20.1 13.92 24.77 10.91 2402000 12.16 12.5 3.71 7.08 1.9 18.6 11.99 15.52 70.59 2103000 15.06 26.0 0.30 19.25 6.4 17.2 10.00 6.26 12.74 2404000 1.05 10.6 11.02 1.49 10.8 15.7 8.13 22.24 72.42 2405000 3.95 24.1 7.61 13.66 2.6 14.3 6.20 12.99 14.57 2406000 6.85 8.6 4.20 25.83 7.1 12.9 4.27 3.73 7 1.25 2 107000 9.75 22.2 0.78 8.07 11.7 11.4 2.34 19.71 16.40 240SOOO 12.65 6.7 11.50 20.24 3.4 10.0 0.41 10.45 76.0S 2409000 15.54 20.3 8.09 2.48 7.9 8.5 16.69 1.20 18.23 2110000 1.54 4.8 4.68 14.65 12.5 7.1 14.76 17.17 77.91 2411000 4.44 18.3 1.27 26.83 4.2 5.7 12.83 7.92 20.06 2412000 7.31 2.9 11.99 9.07 8.7 4.2 10.90 23.89 7!). 7 4 2413000 10.24 16.4 8.58 21.24 0.4 2.8 8.97 14.64 21.89 2414000 13.13 1.0 5.17 3.48 4.9 1.3 7.01 5.38 81.57 2415000 16.03 14.5 1.76 15.65 9.4 24.9 5.10 21.36 23.72 241COOO 2.03 28.1 12.48 27.82 1.2 23.5 3.17 12.11 83.40 2117000 4.93 12.6 9.07 10.06 5.7 22.0 1.24 2.85 2555 2418000 7.83 26.1 5.66 22.23 10.1 20.6 17.52 18.83 85.23 2419000 10.72 10.7 224 4.47 1.9 19.1 15.59 9.57 . 27.38 2420000 13.62 24.2 12.96 16.64 6.5 17.7 13.67 0.32 87.06 2421000 16.52 8.8 9.55 28.81 10.9 16.3 11.74 16.29 29.21 2 122000 2.52 22.3 6.14 11.05 2.7 14.8 9.81 7.01 88.89 •J 12:5000 5.42 6.9 2.73 23.22 7.2 13.4 7.88 23.01 31.04 2424000 8.31 20.4 13.45 5.46 n.8 1.1.9 r>.95 13.76 'J0.72 2425000 11.21 4.9 10.04 17.64 3.5 10.5 4.02 4.51 32.87 2 126000 14.11 18.5 6.63 29.81 8.0 9.1 2.09 20.48 92.55 2 127000 0.11 3.0 3.22 12.05 12.5 7.6 0.16 11.23 84.76 2 I2SOOO 3.01 16.6 13.94 24.22 4.2 6.2 16.44 1.97 94.88 2 12'JOOO 5.91 1.1 10.53 6.46 8.7 4.7 14.52 17.95 86.53 34*0000 8.80 14.6 7.12 18.63 0.5 3.3 12.59 8.69 96.21 3481000 11.70 28.2 3.70 0.87 5.0 1.9 10.66 24.67 38.38 3483000 14.60 12.7 0.29 13.04 9.5 0.5 8.73 15.12 98.04 3483000 0.60 26.3 11.01 25.21 1.3 21.0 6.80 6.16 40.19 3484000 3.49 10.8 7.60 7.45 5.8 22.6 4.87 22.14 99.87 2435000 6.39 24.4 4.19 19.62 10.2 21.1 2.93 12.88 32.02 3486000 9.29 8.9 0.78 1.86 2.0 19.7 1.00 3.63 91.70 2 137000 12.19 22.4 11.50 1 1.03 6.5 18.3 17.28 19.60 88.85 213-000 15.09 7.0 8.09 26.21 11.0 16.8 15.35 10.89 93.53 9486000 1.08 20.5 4.68 8.44 2.8 15.4 13.43 1.09 35.68 •J 1 10000 3.98 5.1 1.27 20.62 7.3 14.0 11.50 17.07 105.36 3441000 6.88 18.6 11.99 £86 11.8 12.6 9.57 7.88 47.51 9442000 9.78 32 8.58 i:>.03 3.5 11.1 7.(il 23.79 107.19 •Jl POOH 12.67 lfi.7 5.10 27.20 8.1 9.7 r..7i j i.r.i 49.84 2 1 1 4000 15.57 1.2 1.75 9.44 12.6 8.2 3.78 5.28 109.02 2 11 : '.ono 1.57 14,1 12.47 21.61 4.3 6.8 1.84 21.26 51.17 •J 1 K1000 4.47 38.8 9.06 3>f, 8.8 6.4 18.12 12.00 110.85 •J IH IKK) 7.1!7 18J 5.65 16.02 0.6 8.9 16.19 2.75 53.00 3448000 10.36 26.4 2.24 28.19 5.1 2.5 11.27 18.78 112.68 21 l:'(ioo 18.16 11.0 12.96 10.43 iu; 1.0 12.84 !». 17 54.83 •J I. -.0000 16.06 21.5 9.55 22.60 1.3 21.6 10.41 0.22 114.51 54 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. ju±yp/m,d. ARG. 45. .46. 47. 48. 49. 5O. 51. 52. 53. 2450000 d. 16.06 d. 24.5 d. 9.55 d. 22.60 d. 1.3 d. 24.6 d. 10.41 d. 0.22 11451 2451000 2.06 9.0 6.14 4.84 5.S 23.2 8.48 16.19 56.66 2452000 4.96 22.6 2.73 17.02 10.3 21.7 6.55 6.94 116.34 2453000 7.85 7.1 13.45 29.19 2. 20.3 4.62 22.91 58.49 2454000 10.75 20.7 10.04 11.43 6.6 18.8 2.69 13.66 0.63 2455000 13.65 5.2 6.63 23.60 11.0 17.4 0.75 4.40 60.32 2456000 16.55 18.7 3.22 5.84 2.8 16.0 17.03 20.38 2.46 2457000 2.55 3.3 13.93 18.01 7.4 14.5 15.1 11.13 62.15 2458000 5.44 16.8 10.52 0.25 11.9 13.1 13.18 1.87 4.29 2459000 8.34 1.4 7.11 12.42 3.6 11.6 11.25 17.85 63.98 2460000 11.24 14.9 3.70 24.59 8.1 10.2 9.32 8.59 6.12 2461000 14.14 28.5 0.29 6.83 12.7 8.8 7.39 24.57 65.81 2462000 0.14 13.0 11.01 19.00 4.4 7.4 5.46 15.31 7.95 2463000 3.03 26.5 7.60 1.24 8.9 5.9 3.53 6.06 67.64 2461000 5.93 11.1 4.19 13.41 0.6 4.5 1.60 22.04 9.78 2465000 8.83 24.6 0.78 25.59 5.1 3.0 17.87 12.78 69.47 2466000 11.73 9.2 11.50 7.83 9.6 1.6 15.94 3.53 11.61 2467000 14.63 22.7 8.09 20.00 1.4 0.2 14.02 19.50 71.30 2468000 0.62 7.3 4.68 2.24 5.9 23.7 12.09 10.25 13.44 2469000 3.52 20.8 1.26 14.41 10.3 22.3 10.16 0.99 73.13 2470000 6.42 5.3 11.98 26.58 2.2 20.9 8.23 16.97 15.27 2471000 9.32 18.9 8.57 8.82 6.7 19.5 6.30 7.71 74.96 2472000 12.21 3.4 5.16 20.99 11.1 18.0 4.37 23.69 17.10 2473000 15.11 17.0 1.75 3.23 2.9 16.6 2.44 14.43 76.79 2474000 1.11 1.5 12.47 15.40 7.4 15.1 0.51 5.18 18.93 2475000 4.01 15.0 9.06 27.57 12.0 13.7 16.78 21.16 78.62 2476000 6.91 28.6 5.65 9.81 3.7 12.3 14.86 11.90 20.76 2477000 9.80 13.1 2.24 21.99 8.2 10.8 12.93 2.65 80.45 2478000 12.70 26.7 12.96 4.22 12.7 9.4 11.00 18.62 22.59 2479000 15.60 11.2 9.55 16.40 4.4 7.9 9.07 9.37 82.28 2480000 1.60 24.8 6.14 28.57 8.9 6.5 7.14 0.11 24.42 2481000 4.50 9.3 2.73 10.81 0.7 5.1 5.21 16.09 84.11 2482000 7.39 22.8 13.44 22.98 5.2 3.6 3.28 6.83 26.25 2483000 10.29 7.4 10.03 5.22 9.7 2.2 1.35 22.81 85.94 2484000 13.19 20.9 6.62 17.39 1.4 0.7 17.63 13.56 28.08 2485000 16.09 5.5 3.21 29.56 6.0 24.3 15.69 4.30 87.77 2486000 2.09 19.0 13.93 11.80 10.4 22.9 13.77 20.28 29.91 2487000 4.98 3.6 10.52 23.97 2.2 21.4 11.84 11.02 89.60 2488000 7.88 17.1 7.11 6.21 6.7 20.0 9.91 1.77 31.74 2489000 10.78 1.6 3.70 18.39 11,3 18.5 7.98 17.75 91.43 2490000 13.68 15.2 0.29 0.62 3.0 17.1, 6.05 8.49 33.57 2491000 16.58 28.7 11.01 12.80 7.5 15.7 4.12 24.46 93.26 2492000 2.57 13.3 7.60 24.97 12.0 14.3 2.19 15.21 35.41 2493000 5.47 26.8 4.19 7.21 3.7 12.8 0.26 5.96 95.09 2494000 8.37 11.3 0.77 19.38 8.3 11.4 16.54 21.93 37.24 2495000 11.27 24.9 11.49 1.62 0.0 9.9 14.61 12.68 96.92 2496000 14.17 9.4 8.08 13.79 4.5 8.5 12.68 3.42 39.07 2 197000 0.16 23.0 4.67 25.96 9.0 7.1 10.75 19.40 98.75 2498000 3.06 7.5 1.26 8.20 0.8 5.6 8.82 10.14 40.90 2499000 5.96 21.1 11.98 20.37 5.3 4.2 6.89 0.89 100.58 2500000 8.86 5.6 8.57 2.61 9.8 2.8 4.96 16.86 42.73 55 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. 1'or Washington Mean Noon. jul,^7efriod. ARG. 54. 53. 56. 37. 58. 59 GO. 61. 63. 2400000 d. 4.73 d 3.34 d. 7.21 d. 8.03 d 3.77 d 11.57 d 15.63 d. 3.71 84(0 2401000 10.11 2.35 10.29 5.78 13.02 37.46 11.16 10.16 11.70 240-2000 0.43 1.35 0.24 3.52 7.01 24.41 6.68 3.61 0.76 2403000 5.82 0.36 3.31 1.26 1.05 1 1 .34 2.20 10.36 4.26 2401000 11.21 19.00 6.38 15.99 10.31 37.24 20.05 3.51 7.76 240f)000 1.52 18.00 9.45 13.74 4.32 24.18 15.57 10.27 11.27 2406000 6.91 17.00 12.53 11.48 13.57 11.12 11.09 3.41 0.83 2107000 12.30 16.02 2.48 9.22 7.59 37.01 6.62 10.17 ,3.83 240SOOO 2.62 15.03 5.55 6.97 1.61 23.96 2.14 3.31 7.33 2409000 8.00 14.03 8.62 4.71 10.86 10.89 19.98 10.07 10.83 2410000 13.39 1304 11.70 2.45 4.87 36.79 15.51 3.22 14.33 2411000 3.71 12.05 1.65 0.19 14.13 23.73 11.03 9.97 3.40 2412000 9.10 11.06 4.72 14.93 8.14 10.67 6.55 3.12 6.90 2413000 14.48 10.06 7.79 12.67 2.16 36.56 2.08 9.87 10.40 2414000 4.80 9.07 10.87 10.41 11.41 23.50 19.92 3.02 13.90 2415000 10.19 8.08 0.82 8.15 5.43 10.44 15.44 9.78 2.96 2416000 0.51 7.09 3.89 5.90 14.68 36.34 10.96 2.92 6.16 2417000 5.89 6.10 6.96 3.64 8.70 23.28 6.49 9.68 9.96 2418000 11.28 5.10 10.04 1.38 2.71 10.22 2.01 2.83 13.17 2419000 1.60 4.11 13.11 16.11 11.97 36.11 19.86 9.58 2.53 2420000 6.99 3.12 3.06 13.86 5.98 23.05 15.38 2.73 6.03 2 421 000 12.37 2.13 6.13 11.60 15.23 9.99 10.90 9.48 9.53 •_> i-^ooo 2.69 1.14 9.20 9.34 9.25 35.89 6.43 2.63 13.03 2 C23000 fe.08 0.14 12.28 7.09 3.26 22.83 1.95 9.38 2.09 2424000 13.47 18.78 2.23 4.83 12.52 9.76 19.79 2.53 5.59 2425000 3.78 17.79 5.30 2.57 6.53 35.66 15.32 9.28 9.10 •> 1-26000 9.17 16.80 8.37 0.31 0.55 22.60 10.84 2.43 12.60 •J 1-27000 14.56 15.81 11.45 15.04 9.80 9.54 6.36 9.19 1.66 -.' l-.'SOOO 4.88 14.81 1.40 12.79 3.82 35.44 1.88 2.33 5.16 2429000 10.26 13.82 4.47 10.53 13.07 22.38 19.73 9.09 8.66 2 430000 0.58 12.83 7.54 8.27 7.09 9.31 15.25 2.24 12.16 •2 I :! 1000 5.97 11.84 10.62 6.02 1.10 35.21 10.77 8.99 1.23 8432000 11.36 10.85 0.57 3.76 10.36 22.15 630 2.14 4.73 3483000 1.67 9.85 3.64 1.50 4.37 9.09 1.89 8,89 s.-2:t •J 13 1000 7.06 8.86 6.71 16.23 13.62 34.98 19.66 2.04 11.73 2435000 12.45 7.87 9.78 13.98 7.61 21.92 15.19 8.79 0.79 !2 436000 2.77 6.88 i-2.s6 11.72 1.65 8.86 10.71 L.94 4.29 2487000 8.15 5.89 2.81 9.46 10.91 31.76 6.23 8.70 7.79 8438000 13.54 4.89 5.88 7.21 4.92 21.70 1.76 1.84 11.80 •2 13'JOOO 3.8G 3.90 8.95 4.95 14.18 8.64 19.60 8.60 0.36 -.'II 01 100 9.25 2.90 . 12.03 2.69 8.19 8448 15.12 1.74 8.86 •J II 1000 14.68 1.91 1.98 0.49 2.21 21.47 10.65 H.f>0 7.86 •2 II '.'OOO 4.95 0.91 .r).o;> 15.17 11.46 8.41 6.17 1.66 10.86 2443000 10.34 19.56 8.13 1 -2.it 1 5.48 :n.:u 1.69 8.40 14.36 V! 1 1 1000 0.66 l-v.-u 11. '20 10.65 14.73 21.25 19.54 1.55 3.43 •2 II r.ooo fi.04 17.57 1.15 8.39 8.75 8.18 15.06 8.30 8.93 2446000 11.43 16.58 4.22 6.14 2.76 :M os l()..r»H l.ir. 10.43 •2i nono ] .7"> 15.59 7.'»l 8.8fl 12.02 21.02 6.11 8.20 13.93 2448000 -.1 1 1 1.1,0 10.87 1.62 6.03 7.(x; 1.68 1.38 •> II!) •21 1' 000 12.53 1X60 0.33 16.35 0.05 :i:t.s6 19.41 8.l6 6.49 0000 2.84 12.61 3.39 11.10 9.30 20.79 15.00 1.25 9.99 56 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. ,,«,,A.,S, «. *, W. «. .W. ,0. ... „,. d. d. d. d. d. d. d. d. d. 2 150000 2.84 12.61 3.39 14.10 9.30 20.79 15.00 1.25 9.99 2451000 8.23 11.62 6.46 11.84 3.31 7.73 10.52 8.01 13.50 2452000 13.62 10.63 9.53 9.58 12.57 33.63 6.04 1.16 2.56 2453000 3.93 9.63 12.61 7.33 6.58 20.57 1.57 7.91 6.06 2151000 9.32 8.64 2.56 5.07 0.60 7.51 19.41 1.06 9.56 2455000 14.71 7.65 5.63 2.81 9.85 33.41 14.93 7.81 13.06 2456000 5.03 6.66 8.70 0.55 3.87 20.34 10.46 0.96 2.12 2157000 10.41 5.67 11.78 15.29 13.12 7.28 5.98 7.71 5.62 2158000 0.73 4.67 1.73 13.03 7.14 33.18 1.50 0.86 9.13 2159000 6.12 3.68 4.80 10.77 1.15 20.12 19.35 7.61 12.63 2460000 11.51 2.69 7.87 8.52 10.41 7.05 14.87 0.76 1.69 2461000 1.83 1.69 10.95 6.26 4.42 32.95 10.39 7.52 5.19 2462000 7.21 0.71 0.90 4.00 13.67 19.89 5.92 0.67 8.69 2463000 12.60 19.34 3.97 1.74 7.69 6.83 1.44 7.42 12.19 2464000 2.92 18.35 7.04 16.48 1.70 32.73 19.28 0.57 1.26 2465000 8.31 17.36 10.11 14.22 10.96 19.67 14.81 7.32 4.76 2466000 13.69 16.37 0.07 11.96 4.97 6.60 10.33 0.47 8.26 2467000 4.01 15.38 3.14 9.70 14.23 32.50 5.85 7.22 11.76 2168000 9.40 14.38 6.21 7.45 8.24 19.44 1.38 0.37 0.82 2469000 14.78 13.39 9.28 5.19 2.26 6.38 19.22 7.13 4.32 2170000 5.10 12.40 12.36 2.93 11.51 32.28 14.74 0.26 7.82 2171000 10.49 11.41 2.31 0.67 5.53 19.21 10.27 7.03 11.33 2472000 0.81 10.42 5.38 15.41 14.78 6.15 5.79 0.17 0.39 2473000 6.20 9.42 8.45 13.15 8.80 32.05 1.31 6.93 3.89 2471000 11.58 8.43 11.53 10.89 2.81 18.99 19.16 0.08 7.39 2475000 1.90 7.44 1.48 8.64 12.06 5.93 14.68 6.83 10.89 2476000 7.29 6.45 4.55 6.38 6.08 31.83 10.20 13.59 14.39 2477000 12.67 5.46 7.62 4.12 0.09 18.76 5.72 6.73 3.46 2178000 2.99 4.16 10.70 1.86 9.35 5.70 1.25 13.49 6.96 2479000 8.38 3.47 0.65 16.60 3.36 31.60 19.09 6.63 10.46 2480000 13.77 2.48 3.72 14.34 12.62 18.54 14.62 13.39 13.96 2481000 4.09 1.49 6.79 12.08 6.64 5.47 10.14 6.54 3.02 2 182000 9.47 0.49 9.86 9.83 0.65 31.37 5.66 13.29 6.52 2483000 14.86 19.13 12.94 7.57 9.90 18.31 1.18 6.44 10.02 2481000 5.18 18.14 2.89 5.31 3.92 5.25 19.03 13.20 13.53 2485000 10.57 17.14 5.96 3.05 13.17 31.15 14.55 6.34 2.59 2486000 0.88 16.15 9.03 0.79 7.19 18.08 10.07 13.10 6.09 2487000 6.28 15.16 12.11 15.53 1.20 5.02 5.60 6.24 9.59 248SOOO 11.66 14.17 2.05 13.27 10.46 30.92 1.12 13.00 13.09 2189000 1.97 13.17 5.13 11.01 4.47 17.86 18.96 6.14 2.15 2190000 7.36 12.18 8.20 8.76 13.72 4.79 14.49 12.90 5.65 2491000 12.75 11.19 11.28 6.50 7.74 30.70 10.01 6.04 9.16 2192000 3.07 10.20 1.23 4.24 1.75 17.63 5.53 12.80 12.66 2193000 8.46 9.20 4.30 1.98 11.01 4.57 1.06 5.95 1.72 2194000 13.84 8.21 7.37 16.72 5.02 30.47 18.90 12.70 5.22 2495000 4.16 7.22 10.45 1446 14.28 17.41 14.42 5.85 8.72 2196000 9.55 6.23 0.40 12.20 8.29 4.34 9.95 12.61 12.22 2197000 11.93 5.24 3.47 9.95 2.31 30.24 5.47 5.75 1.29 2498000 5.25 4.24 6.54 7.69 11.56 17.18 0.99 12.51 4.79 2 199000 10.64 3.25 9.61 5.43 5.58 4.12 18.84 5.65 8.29 2500000 0.96 2.26 12.69 3.18 14.83 30.02 14.37 12.41 11.79 57 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mcun Noon. juiiIX'od. AKG. 63. 64. 65. 66. 67. 68. 69. 7O. 71. 2400000 d 7.84 d. 25.59 d. 3.13 d. 7.8 d 7.66 d. 3.65 d. 121.5 d 307.1 d. 272.0 2401000 12.61 17.81 4.51 11.1 19.70 7.65 177.7 317.7 104.2 2402000 3.73 10.03 5.89 14.4 4.30 11.65 234.0 328.3 520.3 2403000 8.49 2.25 7.26 17.8 16.34 15.65 290.2 09.2 352.4 2404000 13.26 30.46 8.64 21.1 0.94 19.65 346.4 19.8 184.6 2405000 4.38 22.68 10.02 24.4 12.98 23.65 402.6 30.5 16.8 2406000 9.15 14.91 11.41 27.7 25.02 27.65 458.8 41.1 432.8 2407000 0.28 7.13 12.79 31.0 9.61 3.98 43.1 51.7 265.0 240SOOO 5.04 35.34 14.16 34.4 21.65 7.98 99.3 62.4 97.2 2409000 9.80 27.56 1.06 2.1 6.25 11.98 155.5 73.0 513.2 2410000 0.93 19.78 2.44 5.4 18.29 15.98 211.8 83.6 345.4 2411000 5.69 12.00 3.82 8.7 2.89 19.98 268.0 94.2 177.5 2412000 10.45 4.22 5.20 12.0 14.93 23.98 324.2 104.8 9.7 2413000 1.58 32.43 6.58 15.3 26.98 0.31 380.4 115.5 425.8 2414000 6.34 24.66 7.96 18.6 11.57 4.31 436.6 126.1 257.9 2415000 li.ll 16.88 9.33 22.0 23.61 8.31 21.0 136.7 90.1 2416000 2.23 9.10 10.71 25.3 8.20 12.31 77.2 147.3 506.1 2417000 7.00 1.32 12.10 28.6 20.24 16.31 133.4 157.9 338.3 2418000 11.76 29.53 13.48 31.9 4.84 20.31 189.6 168.6 170.5 2419000 2.89 21.75 0.38 35.2 16.88 24.31 245.8 179.2 2.6 2420000 7.65 13.97 1.76 2.9 1.48 0.64 302.0 189.8 418.7 2421000 12.42 6.19 3.14 6.2 13.52 4.64 358.3 200.4 2509 2422000 3.54 34.40 4.52 9.5 25.57 8.64 414.5 211.0 83.0 2423000 8.30 26.63 5.89 12.9 10.16 12.64 470.7 221.7 499.1 2421000 13.07 18.85 7.27 16.2 22.20 16.64 55.0 232.3 331.3 2425000 4.19 11.07 8.65 19.5 6.80 20.64 111.2 243.0 163.4 2426000 8.95 3.29 10.03 22.8 18.84 24.64 167.5 253.6 579.5 2427000 0.08 31.50 11.42 26.1 3.43 0.96 223.7 264.2 411.6 242HOOO 4.85 23.72 12.79 29.5 15.47 4.96 279.9 274.9 848.8 2429000 9.61 15.94 14.17 32.8 0.07 8.96 336.1 285.5 76.0 2430000 0.74 8.16 1.07 0.5 12.11 12.97 392.3 296.1 492.0 2431000 5.50 0.38 2.45 3.8 24.15 16.97 448.5 306.7 324.2 2 13-.JOOO 10.26 28.60 3.83 7.1 8.75 20.96 32.8 317.3 156.4 8433000 1.39 20.82 5.21 10.5 20.79 24.96 89.1 328.0 572.4 8434000 6.15 13.04 6.59 13.8 5.39 1.29 145.3 8.8 404.6 2435000 10.92 5.26 7.96 17.1 17.43 5.29 201.5 19.5 236.8 2436000 2.04 83.47 9.34 20.4 2.02 9.29 257.7 30.1 68.9 2437000 6.80 25.69 10.72 23.7 14.06 13.29 313.9 40.7 485.0 2 43KOOO 11.57 17.91 12.11 27.1 26.11 17.29 370.2 51.4 317.1 2439000 2.69 10.13 13.49 30.4 10.70 21.29 426.4 62.0 149.3 2 1 10000 7.46 2.36 0.39 33.7 22.74 25.29 10.7 72.6 565.4 2 11 1000 12.23 30.57 1.77 1.4 7.34 1.62 66.9 83.2 397.5 2 1 12000 3.35 22.79 3.15 4.7 19.38 5.62 128.1 93.8 229.7 2443000 8.11 15.01 4.53 8.1 3.98 9.62 179.3 104.5 61.9 2444000 12.88 7.23 5.91 11.4 16.02 13.62 235.6 115.1 477.9 2415000 4.00 35.44 7.28 14.7 0.62 17.62 291.8 125.8 310.1 8446000 8.76 27.66 8.66 18.0 12.66 21.62 348.0 136.4 142.3 •J 1 17000 13.53 19.88 10.04 21.3 24.70 25.62 404.2 147.0 558.3 2 1 1HOOO 4.65 12.11 11.43 24.7 9.29 1.95 460.4 157.7 390.5 8449000 9.42 4.33 12.81 28.0 21.33 5.95 44.7 168.3 222.6 2450000 0.54 32.54 14.19 31.3 5.94 9.95 100.9 178.9 54.8 58 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juii!X°rio,i. ARG. 63. 64. 65. 66. 67. 68. 69. TO. 71. 2450000 i 0.54 (i. 32.54 d. 14.19 31.3 d. 5.94 d. 9.95 100.9 d 178.9 d. 54.8 2451000 5.31 24.76 1.09 34.6 17.97 13.95 157.2 189.5 470.9 2452000 10.07 16.98 2.47 2.3 2.57 17.95 213.4 200.1 303.0 2453000 1.20 9.20 3.84 5.6 14.61 21.95 269.6 210.8 135.2 2454000 5.96 1.42 5.22 8.9 26.66 25.95 325.8 221.4 551.3 2455000 10.73 29.64 6.60 12.3 11.25 2.28 382.0 232.1 383.4 2456000 1.85 21.86 7.98 15.6 23.29 6.28 438.3 242.7 215.6 2457000 6.61 14.08 9.36 18.9 7.88 10.28 22.6 253.3 47.7 2458000 11.38 6.30 10.73 22.2 19.92 14.28 78.8 264.0 463.8 2459000 2.50 34.51 12.12 25.5 4.52 18.28 135.0 274.6 296.0 24fiOOOO 7.26 26.73 13.50 28.8 16.56 22.28 191.2 285.2 128.1 2461000 12.03 18.96 0.40 32.1 1.16 26.28 247.4 295.8 544.2 2462000 3.16 11.18 1.78 35.4 13.20 2.61 3037 306.4 376.4 2463000 7.92 3.40 3.16 3.2 25.25 6.61 3599 317.1 208.5 2464000 12.69 31.61 4.54 6.5 9.84 10.61 416.1 327.7 40.7 2465000 3.81 23.83 5.91 9.8 21.88 14.61 0.4 8.6 456.8 2466000 8.57 16.05 7.29 13.1 6.47 18.61 56.6 19.2 288.9 2467000 13.34 8.27 8.67 16.4 18.51 22.61 112.8 29.8 121.1 2468000 4.46 0.49 10.05 19.8 3.11 26.61 169.1 40.5 537.2 2469000 9.22 28.71 11.44 23.1 15.15 2.94 225.3 51.1 369.3 2470000 0.35 20.93 12.82 26.4 27.20 6.94 281.5 61.7 201.5 2471000 5.11 13.15 14.20 29.7 11.79 10.94 337.7 72.3 33.6 2472000 9.88 5.37 1.10 33.0 23.84 14.94 393.9 82.9 449.7 2473000 1.01 33.58 2.47 0.8 8.43 18.94 450.1 93.6 281.9 2474000 5.77 25.80 3.85 4.1 20.47 22.94 34.5 104.2 114.0 2475000 10.53 18.03 5.23 7.4 5.07 26.94 90.7 114.9 530.1 2 176000 1.66 10.25 6.61 10.7 17.11 3.26 146.9 1255 362.3 2477000 6.42 2.47 7.99 14.0 1.71 7.26 203.1 136.1 194.4 2478000 11.19 30.68 9.36 17.4 13.75 11.27 259.3 146.8 26.6 2479000 2.31 22.90 10.74 20.7 25.80 15.27 315.6 157.4 442.7 24SOOOO 7.07 15.12 12.13 24.0 10.39 19.27 371.8 168.0 274.8 2481000 11.84 7.34 13.51 27.3 22.43 23.27 428.0 178.6 107.0 2482000 2.96 35.55 0.41 30.6 7.02 27.27 12.3 189.2 523.1 2483000 7.73 27.78 1.79 34.0 19.06 3.59 68.5 199.9 355.2 2481000 12.49 20.00 3.17 1.7 3.66 7.59 124.7 210.5 187.4 2485000 3.62 12.22 4.54 5.0 15.70 11.61 181.0 221.1 19.5 2486000 8.38 4.44 5.92 8.3 0.30 15.61 237.2 231.7 435.6 2487000 13.15 32.65 7.30 11.6 12.34 19.60 293.4 242.3 267.8 2488000 4.27 24.87 8.68 15.0 24.39 23.59 349.6 253.0 99.9 2489000 9.03 17.09 10.06 18.3 8.98 27.59 405.8 263.6 516.0 2490000 0.16 9.31 11.45 21.6 21.02 3.92 462.0 274.2 348.2 2491000 4.92 1.54 12.83 24.9 5.61 7.92 46.4 284.8 180.3 2492000 9.68 29.75 14.21 28.2 17.66 11.93 102.6 295.4 12.5 2493000 0.81 21.97 1.11 31.5 2.25 15.93 158.8 306.1 428.6 2494000 5.58 14.19 2.49 34.8 14.29 19.93 215.0 316.7 260.7 2495000 10.34 6.41 3.86 2.6 26.34 23.93 271.2 327.4 92.9 2496000 1.47 34.62 5.24 5.9 10.93 0.25 327.5 8.2 508.9 2497000 6.23 26.85 6.62 9.2 22.97 4.25 383.7 18.8 341.1 2498000 11.00 19.07 8.00 12.5 7.57 8.25 439.9 29.5 173.3 2499000 2.12 11.29 9.38 15.8 19.61 12.26 24.2 40.1 5.4 2500000 6.88 3.51 10.76 19.1 4.21 16.26 80.4 50.7 421.5 59 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juried. ARG. 73. 73. 74. 73. 7G. 78. 7». 8O. 81. 2400000 382.9 1322.1 a. 2813 (i. 69562 d 7287 71.425 cl. 419.9 & 192.6 65.60 2401000 186.2 131.8 581 70562 8287 130.418 104.8 253.4 71.96 2402000 388.5 1131.8 1581 71562 9287 1.209 228.1 1.2 78.32 2403000 191.8 2131.8 2581 72562 10287 60.202 351.3 62.1 84.69 2404000 394.1 941.5 348 73562 11286 119.194 36.3 122.9 91.05 2405000 197.4 1941.5 1348 74562 12286 178.187 159.5 183.7 97.41 2406000 0.8 751.2 2348 75562 13286 48.978 282.8 244.5 103.78 2407000 203.0 1751.2 115 76562 14286 107.971 406. 1 305.4 110.14 2408000 6.3 560.8 1115 77562 15285 166.963 91.0 53.2 116.51 2409000 208.6 1560.8 2115 78562 16285 37.754 214.3 114.0 122.87 2410000 11.9 370.5 3115 79562 17285 96.747 337.6 174.8 5.03 2411000 214.1 1370.5 882 80562 18285 155.740 22.5 235.7 11.39 2412000 17.5 180.1 1882 81562 19285 26.531 145.8 296.5 17.75 2413000 219.7 1180.1 2882 82562 20284 85.524 269.1 44.3 24.12 2414000 23.1 2180.1 649 83562 21284 144.516 392.3 105.1 30.49 2415000 225.3 989.8 1649 84562 22284 15.308 77.3 166.0 36.85 2416000 28.6 1989.8 2649 809 23284 74.300 200.5 226.8 43.21 2417000 230.9 799.4 416 1809 24283 133.293 323.8 287.6 49.58 84 18000 34.2 1799.4 1416 2809 25283 4.084 8.7 35.4 55.94 2419000 236.5 609.1 2416 3809 26283 63.077 132.0 96.3 62.31 2420000 39.8 1609.1 183 4809 27283 122.069 255.3 157.1 68.67 2421000 242.0 418.8 1183 5809 28283 181.062 378.6 217.9 75.03 212-2000 45.4 1418.8 2183 6809 29283 51.853 63.5 278.7 81.39 2423000 247.6 228.4 3183 7809 30282 110.846 186.8 26.5 87.76 2421000 51.0 1228.4 951 8809 31282 169.839 310.0 87.4 94.12 2425000 253.2 38.1 1951 9809 32282 40.630 433.3 148.2 100.48 2426000 56.5 1038.1 2951 10809 33281 99.623 118.3 209.0 106.85 2 127000 258.8 2038.1 718 11809 34281 158.615 241.5 269.9 113.21 2 428000 62.1 847.7 1718 12809 35280 29.407 364.8 17.7 119.58 2429000 264.4 1847.7 2718 13809 36280 88.399 49.7 78.5 1.74 2430000 67.7 657.4 485 14809 37280 147.392 173.0 139.3 8.10 2431000 269.9 1657.4 1485 15809 38280 18.183 296.3 200.2 14.46 "2 132000 73.3 467.1 2485 16809 39279 77.176 419.6 261.0 20.82 2 433000 275.5 1467.1 252 17809 40279 136.169 104.5 8.8 27.19 2434000 78.9 276.7 1252 18809 41278 6.960 227.8 69.6 33.55 2435000 281.1 1276.7 2252 19809 42278 65.953 351.0 130.5 39.91 2436000 84.4 86.4 19 20809 43278 124.946 36.0 191.3 46.28 2437000 286.7 1086.4 1019 21809 44277 183.939 159.2 252.1 52.64 2 138000 90.0 2086.4 2019 22809 45277 54.730 282.5 312.9 59.01 2439000 292.2 896.0 3019 23809 46276 113.723 405.8 60.7 65.37 2440000 95.6 1896.0 786 24809 47276 172.716 90.7 121.6 71.73 2441000 297.8 705.7 1786 38809 48276 48.801 214.0 182.4 78.09 2442000 101.2 1705.7 2786 26809 49275 102.500 337.3 243.2 84.45 2 1 13000 303,4 515.3 554 27809 50275 161.493 22.2 304.1 90.82 2 4 1 4000 106.8 1515.3 1554 28809 51274 32.284 145.5 51.9 97.18 2445000 309.0 325.0 2554 29809 52274 91.277 268.8 112.7 103.54 3446000 112.3 1325.0 321 30809 5327 1 150.270 392.0 173.5 109.91 2 1 17000 314.6 134.7 1321 31809 54273 21.061 77.0 234.4 116.27 3448000 117.9 1184.7 2321 32809 55273 80.054 200.2 295.2 122.64 3449000 320.1 2134.6 88 33809 56272 139.047 323.5 43.0 4.80 2 150000 123.5 944.3 1088 34809 57272 9.838 8.4 103.8 11.16 60 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. fay of AUG. 72. 73. 74. 7.T. 7G. 78. 79. 8O. 81. Julian Period. 2450000 d. 123.5 d. 944.3 1088 34809 57272 9.838 d. 8.4 103.8 d. 11.16 2451000 325.7 1944.3 2088 35809 58272 68.831 131.7 164.6 17.52 2452000 129.1 753.9 3088 36809 59271 127.824 255.0 225.5 23.89 2453000 331.3 1753.9 855 37809 60271 186.817 378.3 286.3 30.25 2454000 134.7 563.6 1855 38809 61270 57.609 63.2 34.1 36.62 2455000 336.9 1563.6 2855 39809 62270 116.601 186.5 94.9 42.98 2456000 140.2 373.2 622 40809 63270 175.594 309.8 155.8 49.34 2457000 342.5 1373.2 1622 41809 64269 46.386 433.0 216.6 55.71 2458000 145.8 182.9 2622 42809 65269 105.379 118.0 277.4 62.07 2459000 348.0 1182.9 389 43809 66268 164.372 241.2 25.2 68.44 2460000 151.4 2182.9 1389 44809 67268 35.163 364.5 86.0 74.80 2461000 353.6 992.5 2389 45809 68268 94.156 49.4 146.9 81.16 2462000 157.0 1992.5 157 46809 69267 153.149 172.7 207.7 87.52 2463000 359.2 802.2 1157 47809 70267 23.941 296.0 268.5 93.89 2464000 162.5 1802.2 2157 48809 71266 82.934 419.3 16.3 100.25 2465000 364.8 611.8 3157 49809 72266 141.927 104.2 77.2 106.61 2466000 168.1 1611.8 924 50809 73265 12.718 227.5 138.0 112.98 2467000 370.4 421.5 1924 51809 74264 71.711 350.8 198.8 119.34 2468000 173.7 1421.5 2924 52809 75264 130.704 35.7 259.7 1.51 2469000 375.9 231.1 691 53809 76263 1.496 159.0 7.5 7.87 2470000 179.3 1231.1 1691 54809 77263 60.489 282.2 68.3 14.23 2471000 381.5 40.8 2691 55809 78262 119.482 405.5 129.1 20.59 2472000 184.9 1040.8 458 56809 79262 178.475 90.4 189.9 26.95 2473000 387.1 2040.8 1458 57809 80261 49.267 213.7 250.8 33.32 2474(100 190.4 850.4 2458 58809 81261 108.260 337.0 311.6 39.68 2475000 392.7 1850.4 225 59809 82260 167.253 21.9 59.4 46.04 2476000 196.0 660.1 1225 60809 83259 38.044 145.2 120.2 52.41 2477000 398.3 1660.1 2225 61809 84259 97.037 268.5 181.1 58.77 2478000 201.6 469.7 3225 62809 85258 156.030 391.8 241.9 65.14 2479000 5.0 1469.7 992 63809 86258 26.822 76.7 302.7 71.50 2480000 207.2 279.4 1992 64809 87257 85.815 200.0 50.5 77.86 2481000 10.5 1279.4 2992 65809 88256 144.808 323.2 111.3 84.22 2482000 212.8 89.0 759 66809 89256 15.600 8.2 172.2 90.58 2483000 16.1 1089.0 1759 67809 90255 74.593 131.4 233.0 96.95 ' 2484000 218.3 2089.0 2759 68809 91255 133.586 254.7 293.8 103.31 2485000 21.7 898.6 527 69809 92254 4.378 378.1 41.6 109.67 2486000 223.9 1898.6 1527 70809 93253 63.371 62.8 102.5 116.04 2487000 27.3 708.3 2527 71809 94253 122.364 186.2 163.3 122.40 2488000 229.5 1708.3 294 72809 95252 181.357 309.5 224.1 4.57 2489000 32.9 517.9 1294 73809 762 52.149 432.8 284.9 10.93 2490000 235.1 1517.9 2294 74809 1761 111.142 117.7 32.7 17.29 2491000 38.4 327.6 61 75809 2760 170.135 241.0 93.6 23.65 2492000 240.7 1327.6 1061 76809 3759 40.927 364.2 154.4 30.02 2493000 44.0 137.2 2061 77809 4759 99.920 49.2 215.2 36.38 2494000 246.2 1137.2 3061 78809 5758 158.913 172.4 276.1 42.75 2495000 49.6 2137.2 828 79808 6758 29.705 295.7 23.9 49.11 2496000 251.8 946.9 1828 80808 7757 88.698 419.0 84.7 55.47 2497000 55.2 1946.8 2828 81808 8756 147.691 103.9 145.5 61.84 2498000 257.4 756.5 595 82808 9756 18.483 227.2 206.4 68.20 2499000 60.7 1756.5 1595 83808 10755 77.476 350.5 267.2 74.57 2500000 263.0 566.1 2595 55 11754 136.470 35.4 15.0 80.93 61 TABLE II&. Epochs and Arguments for eacli Thousandth Day, from 2 100000 to 2500000. For Washington Mean Noon. juhWriod. ARG. 82. 83. 84. 85. 86. 87. 88. 89. 9O. 2100000 d. 11.655 d. 5.56 ii. 5.63 d. 3.09 d. 6.02 a. 4.84 .1 7.28 d. 8.4? X 0.0 2401000 0.801 25.27 10.17 15.27 10.67 10.27 9.9( 4.23 31.6 2402000 4.812 5.77 14.72 3.94 15.31 1.48 12.64 0.00 30.9 2403000 8.823 25.48 0.12 16.13 19.95 6.91 0.66 15.08 30.2 2404000 12.834 5.98 4.66 4.80 24.59 12.33 3.34 10.85 29.5 2405000 1.980 25.69 9.20 16.99 29.24 3.55 6.0: 6.62 28.8 2406000 5.991 6.18 13.74 5.65 33.88 8.98 8.71 2.39 28.1 2107000 10.003 25.89 18.29 17.84 0.24 0.20 11.39 17.47 27.4 2108000 14.014 6.39 3.69 6.51 4.89 5.62 14.07 13.23 26.7 2409000 3.160 26.10 8.23 18.70 9.53 11.05 2.09 9.00 26.0 2410000 7.171 6.60 12.77 7.37 14.17 2.26 4.77 4.77 25.3 2411000 11.182 26.30 17.31 19.55 18.81 7.69 7.46 0.54 24.6 2412000 0.328 6.80 2.71 8.22 23.46 13.11 10.14 15.62 23.9 2413000 4.339 26.51 7.26 20.41 28.10 4.33 12.82 11.39 23.2 2414000 8.351 7.01 11.80 9.08 32.74 9.76 0.84 7.16 22.5 2115000 12.362 26.72 16.34 21.27 37.39 0.98 3.52 2.92 21.8 2416000 1508 7.22 1.74 9.93 3.75 6.40 6.21 18.01 21.0 2417000 5.519 26.93 6.28 22.12 8.39 11.83 8.89 13.77 20.3 2418000 9.530 7.42 10.83 10.79 13.03 3.04 11.57 9.54 19.6 2419000 13.542 27.13 15.37 22.98 17.68 8.47 14.25 5.31 18.9 2420000 2.687 7.63 0.77 11.65 22.32 13.90 2.27 1.08 18.2 2421000 6.698 27.34 5.31 0.32 26.96 5.12 4.95 16.16 17.5 2422000 10.710 7.84 9.86 12.50 31.61 10.54 7.64 11.93 16.8 2423000 11.721 27.54 14.40 1.17 36.25 1.76 10.32 7.69 16.1 2424000 3.867 8.04 18.94 13.36 2.61 7.18 13.00 3.46 15.4 2425000 7.878 27.75 4.34 2.03 7.25 12.61 1.02 18.54 11.7 2126000 11.889 8.25 8.88 14.22 11.90 3.83 3.70 11.31 14.0 •J 127000 1.035 27.96 13.43 2.88 16.54 9.25 6.39 10.08 13.3 2138000 5.046 8.46 17.97 15.07 21.18 0.47 9.07 585 12.6 2 129000 9.058 28.17 3.37 3.74 25.83 5.90 11.75 1.62 11.9 'J 130000 13.069 8.66 7.91 15.93 30.47 11.32 1 1.43 16.70 11.2 2431000 2.215 28.37 12.45 4.60 35.11 2.5 1 2.45 12.46 10.5 •2 132000 6.226 8.87 17.00 16.78 1.47 7.96 5.13 8.28 9.8 2 133000 10.237 28.58 2.40 5.45 6.12 13.39 7.82 4.00 9.1 •J 13 4000 14.248 9.08 6.94 17.64 10.76 4.61 10.50 19.08 8.4 8485000 3.394 28.79 11.48 6.31 15.40 10.03 13.18 11.85 7.7 8486000 7.405 9.28 16.02 18.50 20.05 1.25 1.20 10.62 7.0 2 137000 11.417 28.99 1.42 7.H) 24.09 6.68 B.86 6.3$ 6.3 8438000 0.562 9.49 5.97 19.35 29.33 18.10 «.56 2.15 5.6 2 139000 4.574 29.20 10.51 8.02 3397 3.32 9.2$ 17.23 4.9 •J 1 10000 8.585 11.70 15.05 20.21 0.33 8.74 11.93 13.00 4.2 8441000 12.504 29.40 0.45 B£a 4.98 1 1.17 1 U!2 8.77 3.5 •J 1 12000 1.742 9.90 4.99 21.07 9.69 5.39 2.60 4.54 2.8 3443000 5.758 29.6/1 9.54 9.78 14.26 10.88 5.38 0.31 2.1 •J 1 1 1000 9.765 10.11 14.08 21.92 18.91 2.03 N.OO 15.39 1.4 2448000 13.776 29.82 18.62 10.59 23.55 7.46 10.68 11.15 0.7 8446000 2.939 10.32 4.02 82.78 28.19 12.88 13.36 6.92 32.2 8447000 6.933 30.03 8.56 11.45 32.84 4.10 1.88 2.68 31.5 V!l MIOO 10.944 10.52 13.11 0.11 37.48 9.60 4.06 17.77 30.8 2440000 0.090 30.23 17.(i5 12.30 3.N I 0.74 6.75 13.51 30.1 •_' i:>0(KM) 4.101 10.73 3.05 0.97 8.48 6.17 9.43 9.31 29.4 - 62 TABLE lib. Epochs and Arguments for each Thousandth Day, from 2400000 to 2500000. For Washington Mean Noon. juiMiod. ARG. 82. 83. 84. 83. 86. 87. 88. 89. OO. 2450000 2.0!> 1517.92 16 3402.7 610.0 330 28 75! 1.27 43 1735.59 1565.36 17 1709.1 62! 1. 1 340 159 3509.55 44 2879.10 1612.79 18 15.4 648.2 350 291 2659.83 46 422.60 1660.23 18 1921.7 667.2 360 63 181011 47 1566.10 1707.66 19 22N. 1 686.3 370 195 960.39 48 2709.60 1755.10 19 2134.5 705.8 380 327 110.67 50 25H.11 1802.59 20 440.7 72 I.I 390 98 2860.95 51 1396.61 1849.97 20 2317.1 743.5 400 230 2011.24 52 2540.11 1897.40 21 653.5 762.5 410 2 1161.52 54 83.62 1944.84 21 2559.7 781.6 120 134 311.80 ;•:• 1227.12 1992.27. 22 866.1 800.7 480 265 30 56 2370.62 2089.71 22 2772.5 819.7 440 37 2212.36 57 3514.12 2087.14 2:! 1078.7 838.8 450 169 1362.64 50 1057.63 2134.58 23 2985.1 857.9 480 301 512.92 60 2201.13 2182.01 21 1291.5 876.9 470 72 3263.20 61 334J.6:i 222!),i:> 21 3197.7 896.0 480 204 2li:t. is 63 SSN.13 2276.88 25 ] 50 1.1 915.0 190 3:«5 15(13.76 64 2031.64 2324.32 25 31105 994.1 500 108 714.01 65 3175.14 2871.78 26 1716.8 953.2 64 TABLE Ilia. of Mean Longitude, and Longitude of the Node for any Interval of Time less than 1000 DAYS. U' &U' loiwll' (y-U;) iJs (y-U') 500 108 714.04 65 3175.14 2371.75 26 1716.8 953.2 510 239 3464.33 67 718.64 2419.19 27 23.2 9722 520 11 2614.61 68 1862.15 2466.62 27 1929.5 991.3 530 143 1764.89 69 3005.65 2514.06 28 235.8 1010.4 540 275 915.17 71 549.15 2561.49 28 2142.2 1029.4 550 47 65.45 72 1692.65 2608.93 29 448.6 1048.5 560 178 2815.73 73 2836.16 2656.36 29 2354.9 1067.5 570 310 1966.01 75 379.66 2703.80 30 661.2 1086.6 580 82 1116.29 76 1523.16 2751.23 30 2567.6 1 105.7 590 214 266.57 77 2666.67 2798.67 31 873.9 1124.7 600 345 3016.85 79 210.17 2846.10 31 2780.2 1143.8 610 117 2167.13 80 1353.67 2893.54 32 1086.6 1162.9 620 249 1317.42 81 2497.17 2940.97 32 2993.0 1181.9 630 21 467.70 83 40.68 2988.41 33 1299.3 1201.0 640 152 3217.98 84 1184.18 3035.84 33 3205.6 1220.1 650 284 2368.26 85 2327.68 3083.28 34 1512.0 1239.1 660 56 1518.54 86 3471.19 3130.71 34 3418.3 1258.2 670 188 668.82 88 1014.69 3178.15 35 1724.6 1277.3 680 319 3419.10 89 2158.19 3225.58 36 31.0 1296.3 690 91 2569.38 90 3301.69 3273.02 36 1937.3 1315.4 700 223 1719.66 92 845.20 3320.45 37 243.6 1334.4 710 355 869.94 93 1988.70 3367.89 37 2150.0 1353.5, 720 127 20.22 94 3132.20 3415.32 38 456.3 1372.6 730 258 2770.51 96 675.71 3462.76 38 2362.7 1391.6 740 30 1920.79 97 1819.21 3510.19 39 669.0 1410.7 750 162 1071.07 98 2962.71 3557.63 39 2575.3 1429.8 760 294 221.35 100 506.21 3605.06 40 881.7 1448.8 770 65 2971.63 101 1649.72 3652.50 40 2788.0 1467.9 780 197 2121.91 102 2793.22 3699.93 41 1094.3 1486.9 790 329 1272.19 104 336.72 3747.37 41 3000.6 1506.0 800 101 422.47 105 1480.22 3794.80 42 1306.9 1525.1 810 232 3172.75 106 2623.73 3842.24 42 3213.2 1544.1 820 4 2323.03 108 167.23 3889.67 43 1519.6 1563.2 830 136 1473.31 109 1310.73 3937.11 43 3425.9 1582.3* 840 268 623.59 110 2454.24 3984.54 44 1732.2 1601.3 850 39 3373.88 111 3597.74 4031.98 45 38.6 1620.4' 860 171 2524.16 113 1141.24 4079.41 45 1944.9 1639.4 870 303 1674.44 114 2284.74 4126.85 46 251.3 1658.5 880 75 824.72 115 3428.25 4174.28 46 2157.6 1677.6 S90 206 3575.00 117 971.75 4221.72 47 463.9 1696.6 ' 100 338 2725.28 118 2115.25 4269.15 47 2370.3 1715.7 910 110 1875.56 1 19 3258.76 4316.59 48 676.6 1734.8 1 920 242 1025.84 121 802.26 4364.02 48 2582.9 1753.8 1 930 14 176.12 122 1945.76 4411.46 49 889.3 1772.9 940 145 2926.40 123 3089.26 4458.89 49 2795.7 1792.p 950 277 2076.68 125 632.77 4506.33 50 1102.0 isfii.o 960 49 1226.97 126 1776.27 4553.76 50 3008.3 iifjsoii 970 181 377.25 127 2919.77 4601.20 51 1314.7 1/849.1 980 312 3127.53 129 463.28 4648.63 51 3221.0 / ' 1868.2 990 84 2277.81 130 1606.78 4696.07 52 1527.3 1887.3- 1000 216 1428.09 131 2750.28 4743.50 52 3433.7 1906.3 • TABLE lllb. Multiples of Periods of the Arguments. Periods. ARG. 1. 2. 3. 4. 5. 6. 1 27.554552446 31.81193574 29.53058800 365.259687 411.785170 34.846892 2 55.109104892 63.62387147 59.06117599 730.519373 823.570311 69.693784 3 82.663657338 95.43580721 88.59176399 1095.779060 1235.355511 104.540676 4 110.218209784 127.24774294 118.12235199 1461.038747 1647.140(i81 139.387568 5 137.772762230 159.05967868 147.65293999 1826.298433 2058.925S.YJ 171.231460 6 165.327314676 190.87161442 177.18352798 2191.558120 2470.711022 209.081352 7 192.881867122 222.68355015 206.71411598 2556.817807 2882.496192 2 13.928244 8 220.436419568 254.49548589 236.24470398 2922.077493 3294.281362 278.775136 9 247.990972014 286.30742162 265.7752!) 197 3287.337180 3706.066533 313.622028 10 275.545524460 318.11935736 295.30587997 3652.596867J 4117.851703 318.468920 p*rio!u. ARO. 9. 8. 9. 10. 11. 12. 13. 1 9.613718 15.387312 29.802826 25.621696 26.878290 346.620112 10.084597 2 19.227436 30.774624 59.605651 51.243393 53.756580 693.240224 20.169194 3 28841154 46.161937 89.408477 76.865089 80.634870 1039.86033( i 30.253791 4 38.454872 61.519249 119.211302 102.486786 107.513160 1386. ISO 11* 1 40.3383N7 5 48.068590 76.936561 149.014128 ' 128.108482 134.391450 1733 10055! • 50. 1229N 1 6 57.682308 92.323873 178.816953 153.730179 161.269740 2079.720671 60.507581 7 67.296026 107.711186 208.619779 179.351875 188.148029 2426.3 1078: 1 70.592178 8 76.909744 123.098498 238.422604 204.973572 215.026319 2772.960S!).- . 80.676775 9 86.523462 138.485810 268.225430 230.595268 211.904609 3119.58100' ' 90.761373 10 96.137180 153.873122 298.028255 256.216964 268.782899 3466.201 lit 100.815968 p«i<£. ARC. 14. 15. 16. IT. 18. 19. 20. 1 29.26328 14.19161 14.25418 27.32168 9.87359 24.30220 14.31731 2 58.52656 28.38322 28.50837 5 1.64336 19.74719 48.60439 28.63163 3 87.78984 42.57483 42.76255 81.96504 29.62078 72.90659 42.95194 4 117.05312 56.76644 57.01674 109.28672 39.49137 97.20878 B7.2d925 5 146.31640 70.95805 71.27092 136.60840 49.36797 121.51098 71.68656 6 175.57967 85.14967 85.52511 163.93008 59.24156 145.81317 85.90:fss 7 204.84295 99.34128 99.77929 191.25176 69.11515 170.11537 100.22119 8 234.10623 113.532*9 114.033 is 218.57341 78.98878 194.41757 114.53850 9 263.36951 127.72450 128.28766 245.89511 88.N623I 218.71976 128.85581 10 292.63279 141.91611 142.54185 273.21679 98.73593 243.02196 143.17313 I p",°iol ARG. 21. 22. 23. 24. 25. 26. 2T. 1 131.6711 83.12801 23.7746: ) 13.27651 ) 9.36717 5.82261 25.826 1 2 263.3422 (i 1.25617 47.54921 » 26.55301 ) 18.73134 11.64521 51.6528 3 395.0131 96.3H 12( 71.3238! s 39.8294! I 28.10152 17.46782 77.4791 526.6845 128.51231 95.0985 53.1059! I 37.46869 23.29042 103.3055 5 658.3556 160.6101: 118.8731! J 66.3824! 1 46.83f.s6 29.11303 129.1319 6 f 790.0267 192.76852 142.64771 J 79.6589! ) 56.20303 34.93563 154.9583 7 X 921.6979 221.8966C 166.4223f < 92.9351! I 65.57020 40.7f.s-j | 180.7847 8 j> 053.3690 '-'.-.7.02468 190.1970 106.2119! ) 7I.9373K 46.5MISI 206.6111 9 ] 1 V.-..OI01 289.1; 1.277 213.9716 1 119.488K > N 1.30 155 52.40315 232.437 1 10 13(16.7112 321.28086 237.7462( i 132.7649( •i 93.67172 5S.22606 258.263N 1 66 TABLE III&. Multiples of Periods of the Arguments. £"i0dL ARG. 28. 29. 3O. 31. 32. 33. 34. 1 38.52201 32.76364 10.37093 15.3144 16.6302 32.4506 27.0927 2 77.01103 65.52728 20.74186 30.6288 332603 64.9012 54.1854 3 115.56604 98.29092 31.11280 45.9433 49.8905 97.3517 81.2781 4 154.08805 131.05456 41.48373 61.2577 66.5206 129.8023 108.3708 5 192.61007 163.81821 51.85467 76.5721 83.1508 162.2529 135.4636 6 231.13208 196.58185 62.22559 91.8865 99.7810 194.7035 162.5563 7 269.65409 229.31549 72.59652 107.2009 116.4111 227.1541 189.6490 8 308.17610 262.10913 82.96746 122.5153 133.0413 259.6047 216.7417 9 346.69812 294.87277 93.33839 137.8298 149.6715 292.0552 243.8344 10 385.22013 327.63641 103.70932 153.1442 166.3016 324.5058 270.9271 Periods. ARG. 35. 36. 37. 38. 39. 4O. 41. 42. 1 23.9422 13.7188 37.625 9.3944 34.475 18.8435 17.9191 10.1479 2 47.8845 27.4376 75.251 18.7888 68.951 37.6871 35.8382 20.2958 3 71.8267 41.1564 112.876 28.1832 103.426 56.5306 53.7573 30.4437 4 95.7689' 51.8752 150.501 37.5776 137.901 75.3742 71.6764 40.5916 5 119.7112! 68.5941 188.127 46.9720 172.376 94.2177 89.5955 50.7395 6 143.6534' 82.3129 225.752 56.3664 206.852 113.0613 107.5146 60.8874 7 167.5956 96.0317 263.377 65.7607 241.327 131.9048 125.4337 71.0354 8 191.5379 109.7505 301.003 75.1551 275.802 150.7483 143.3528 81.1833 9 215.480ll 123.4693 338.628 81.5495 310.278 169.5919 161.2720 91.3312 10 239.4-223 137.1881 376.253 93.9439 344.753 188.4354 179.19111 101.4791 Periods. ARG. 43. 44. 45. 46 47. 48. 49. 50. 1 14.5379 22.786 16.9000 29.013 14.132( ! 29.934 12 12.76r [ 25.036 2 29.0757 45.572 33.8001 58.027 28.2651 I 59.86? 13 25.52J > 50.072 3 43.6136 68.358 50.7001 87.040 42.397' r 89.80-. 5 38.28? > 75.108 4 58.1514 91.145 67.6001 116.053 56.5305 \ 119.73f 17 51.051 100.144 5 72.6893 113.931 84.5002 145.066 70.662? > 149.670 (9 63.814 I .125.180 6 87.2-271 136.717 101.4002 174.080 84.795? ! 179.60f .0 76.57( 1 150.216 7 101.7650 159.503! 118.3002 203.093 98.927J ) 209.53? 2 89.33! 1 175.252 8 116.3028 182.289 135.2003 232.106 113.0604 239.47: 4 102.10; \ 200.288 9 130.8407 205.075 152.1003 261 120 127. 193( ) 269.40-; '5 114.86^ I 225.324 10 1 15.3785 227.861; 169.0004 290.133 141.325f i 299.341 7 127.62' ' 250.360 No of » Periods. ARG. 31. 52. 53. 54. 55. 56. 57. 58. 1 18.2169 25.2314 117.5394 15.070 19.6273 13.1175 16.9874 15.2422 2 36.4338 50.4627 235.0788 30 140 39.2546 26.2350 33.9748 30.4844 3 54.6508 75.6941 35-2.6183 45. 210 58.8819 39.3524 50.9622 45.7266 4 72.8677 100.9-255 470.1577 60.280 78.5092 52.4699 67.9496 60.9689 5 91.0816 126.1519 587.6971 75 349 98.1365 65.5874 84.9370 76.2111 6 10!). 3015 151.3882 705.2305 90.419 117.7638 78.7019 101.9244 91.4533 7 1-27.5181 176.6196 822.7760 105.489 137.3911 91.8223 118.9118 106.6955 8 145.7354 201.8510 940.3154 120 559 157.0184 104.9398 135.8993 121.9377 9 163.9523 227.0824 1057.8518 135 6-29 176.6457 118.0573 152.8867 137.1799 10 182.1692 252.3137 1175.3942 150 699 196.2730 131.1748 169.8741 152.4222 67 TABLE lllb. Multiples of Periods of the Arguments. Periods. ARG. 59. 60. 61. 62. 63. 64. 65. 1 38.9640 22.3217 13.6061 14.4420 13.6334 35.9921 14.4728 2 77.9279 44 6434 27.2122 28.8840 27.2668 71.9842 28.9455 3 116.8919 • 66 9651 40.8183 43.3260 40.9002 107.9764 43.4183 4 155.8559 89 2869 54.4244 57.7680 54.5336 143.9685 57.8911 5 194.8198 111 6086 68.0306 72.2100 68.1670 179.9606 72.3639 6 233.7838 133 9303 81.6367 86.6520 81.8004 215.9527 86.8366 7 272.7478 156 2520 95.2428 101.0940 95.4338 251.9448 101.3094 8 311.7118 178 5737 108.8489 115.5360 109.0672 287.9370 115.7822 9 350.6757 200 8954 122.4550 129.9780 122.7006 323.9291 130.2519 10 389.6397 223.2171 136.0611 144.4200 136.3340 359.9212 144.7277 No. of A Period.. ARG. 66. 67. 68. 69. 70. 71. 79. 73. 1 35.596 27.4433 27.6667 471.893 329 791 583.921 398.884 2190.331 2 71.192 54.8866 55.3334 943.787 659 581 1167.843 797.768 4380.661 3 106.787 82.3300 83.0001 1415.680 989.372 1751.764 1196.652 6570.992 4 142.383 109.7733 110.6668 1887.573 1319.162 2335.685 1595.536 8761.322 5 177.979 137.2166 138.3334 2359.466 1648 953 2919.606 1991.421 10951.653 6 213.575 164.6599 166.0001 2831.360 1978 743 3503.528 2393.305 13141.984 7 249.171 192.1033 193.6668 3303.253 2308 534 4087.449 2792.189 15332.314 8 284.767 219.5466 221.3335 3775.146 2638.324 4671.370 3191.073 17522.645 9 320.362 246.9899 249.0002 4247.039 2968.115 5255.291 3589.957 19712.975 10 355.958 274.4332 276.6669 4718.933 3297 906 5839.213 3988.841 21903.306 No. of A Periods. ARG. 74. 75. 76. 78. 79. 8O. 81. 89. 1 3232.82 84753 95490 188.20151 438.361 313.055 124.2046 14.86550 2 6465.64 169506 190980 376.40303 876.722 626.109 248.4092 29.73101 3 9698.46 254260 286470 564.60454 . 1315.082 939.164 372.6138 44.59651 4 12931.28 339013 381960 752.80605 1753.443 1252.219 496.8184 59.46202 5 16164.10 423766 477450 941.00757 2191.804 1565.273 621.0230 74.32752 6 19396.92 508519 572940 1129.20908 2630.165 1878.328 745.2276 89.19303 7 22629.74 593273 668430 1317.41059 3068.525 2191.383 869.4322 . 104.05853 8 25862.56 678026 763920 1505.61211 3506.886 2504.437 993.6368 118.92403 9 29095.38 762779 859409 1693.81362 3945.247 2817.492 1117.8414 133.78954 10 32328.20 847532 954899 1882.01513 4383.608 3130.547 1242.0460 148.65504 No of » _, _„ Period.. ARC. 83. 84. 85. 86. 87. 88. 89. 00. 1 39.2116 19.1434 23.5193 38.2831 ) 14.2081 Z 14.6664 19.3122 32.281 2 78.4233 38.2868 47.0387 70.565 ) 28.416- t 29.3329 38.6243 64.562 3 117.6349 57.41)02 70.558C 114.848 ) 42.6241 i 43.9993 57.9365 96.842 4 156.8465 76.5736 94.077-1 153.131 •i 56.8321 J 58.6657 77.2486 129.123 5 196.05V.; 95.7170 117.5!)li- 191.4141 •i 71 0411 ) 73.3321 96.5608 161.404 6 235.2698 II 141.116C 1 229.697 1 85.249! } 87.9986 1 15.8729 193.685 7 27 1.4815 131.0039 164.635 267.980- J 99 157 I 102.6650 135.1851 225.965 8 313.6931 153.1473 188.154- 30(i.2ii3 J 113 6651 i 117.3314 154.4972 258.2 l(i 9 3:>2.!)017 172.2!I07 211.6711 3 1 1.5 Hi i 127.873' ) 131.9978 173.80941 290.527 10 31)2.1164 191.1311 235.19»1 3S2.829 i 142 082 1 1 16.6643 193.1215 322.808 68 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAT. u LOG. (-u') LOG. (-u") (y-u) LOG. (y-u') Loo. (y-u") 0 140 306.18 8.544661 91.41942 342 1071.9 8.396885 91.2329 100000 178 2905.81 8.529434 91.40094 238 1261.1 8.381369 91.2144 200000 217 2028.29 8.513363 91.38163 134 1362.1 8.36501 1 91.1951 300000 256 1274.81 8.496369 91.36143 30 1373.7 8.347734 91.1749 400000 295 647.57 8.478365 91.34024 286 1294.2 8.329452 91.1537 500000 334 148.78 8.459252 91.31796 182 1122.4 8.310064 91.1314 600000 12 3380.62 8.438911 91.29448 78 856.8 8.289452 91.1080 700000 51 3145.30 8.417204 91.26966 334 495.9 8.267479 91.0831 800000 90 3045.02 8.393970 91.24333 230 38.3 8.243981 91.0568 900000 129 3081.98 8.369015 91.21530 125 3082.6 8.218766 91.0288 1000000 168 3258.37 8.342103 91.18534 21 2427.3 8.191598 90.9988 1100000 207 3576.40 8.312949 91.15315 277 1671.1 8.162190 90.9666 1200000 217 438.26 8.281195 91.11839 173 812.4 8.130188 90.9319 1300000 286 1046.15 8.246395 91.08060 68 3450.0 8.095141 90.8941 1400000 325 180227 8.207971 91.03921 324 2382.2 8.056474 90.8527 1500000 4 2708.83 8.165161 90.99346 220 1207.8 8.013424 90.8069 1600000 44 168.01 8.116937 90.94230 115 3525.2 7.964963 90.7558 1700000 83 1382.02 8.061854 90.88431 11 2133.0 7.909646 90.6978 1800000 122 2753.06 7.997796 90.81736 267 629.9 7.845357 90.6308 1900000 162 683.32 7.921485 90.73818 162 2614.3 7.768818 90.5516 2000000 201 2375 01 7.827426 90.64127 58 884.9 7.674534 90.4547 2100000 241 630.32 7.705321 90.51633 313 2640.2 7.552206 90.3298 2200000 280 2651.46 7.532432 90.34024 209 678.7 7.378709 90.1537 2300000 320 1240.62 7.233809 90.03921 104 2199.2 7.080258 89.8526 DAT. ARO. 1. LOG. 1'. LOG. 1". ARG. 3. LOG. 2'. LOG. 2". 0 5.3268824 —94.480661 -87.4274 17.176849 +94.28132 +87.2570 100000 9.5618459 94.465942 87.4089 0.643873 94.26692 87.2385 200000 13.8069578! 94.450440 87.3896 15.916224 94.25166 87.2192 300000 400000 18.06244091 94.433995 22.32851831 94.416533 87.3694 87.3482 31.181815 14.628562 94.23547 94.21824 87.1990 87.1778 500000 26.6054129 94.397950 87.3260 29.880187 94.19992 87.1556' 600000 3.3387953 94.378134 87.3025 13.312665 94.18034 87.1321 700000 7.6379932 94.356947 87.2776 28.549716 94.15938 87.1072 800000 11.9486771 94.334218 87.2513 11.967321 94.13689 87.0809 900000 16.2710701 94.309762 87.2233 27.189199 94.11266 87.0529 1000000 20.6053951 94.283344 87.1933 10.591328 94.08647 87.0229 1100000 24.9518750 94.254673 87.1611 25.797429 94.05802 86.9907 1200000 .1.7561803 94.223400 87.1264 9.183481 94.02696 86.9560 1300000 6.1276389 94.189070 87.0886 24.373204 93.99290 86.9182 1400000 10.5119214 94.151109 87.0472 7.742576 93.95509 86.8768 1500000 14.9092506 94.108758 87.0014 22.915317 93.91295 86.8310 1600000 19.3198495 94.060984 86.9503 6.267407 93.86538 86.7799 1700000 23.7439410 94.006345 86.8923 21.422565 93.81094 86.7219 1800000 0.6271958 93.942725 86.8254 4.756769 93.74674 86.6550 1900000 5.0789415 93.866846 86.7462 19.893742 93.67183 86.5758 2000000 9.5448488 93.773213 86.6493 3.209459 93.57781 86.4789 2100000 14.0251406 93.651526 86.5243 18.327643 93.45689 86.3539 2200000 18.5200399 93.478663 86.3482 1.624271 93.28421 86.1778 2300000 23.0297695 -93.180837 -86.0472 16.723064 +92.98656 +85.8768 - ' 69 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAT. ARG. 3. LOG. 3'. LOG. 3". ARG. 4. ARG. 5. LOG. 8'. LOG. 5". 0 10.8269901 -93.84505 -86.7744 121.4011 340.4155 —95.54931 -88.501 100000 20.1879172 93.83025 86.7559 40.2469 273. 17 is 95.5316!) 88.483 200000 0.0206869 93.81459 86.7366 321.3525 206.0468 95.51921 88.463 300000 9.3864354 93.79800 86.7164 213.1983 139.0429 95.50271) 8S.443 400000 18.7516510 93.78039 86.6952 162.0442 72.1629 95.485)57 88.422 500000 28.1253925 93.76167 86.6730 80.8900 5,4095 95.46683 88.400 600000 7.9681123 93.74171 86.6495 364.9956 350.5703 95.4170:! 88.376 700000 17.3440390 93.72039 86.6246 283.8414 284.0778 95.425ss S8.351 800000 26.7226343 93.69753 86.5983 202.6873 217.7198 95.40318 88.885 900000 6.5733596 93.67294 86.5703 121.5331 151.4988 95.37875 88.297 1000000 15.9574407 93.64640 86.5403 40.3790 85.4175 95.35236 88.267 1100000 25.3443389 93.61760 86.5081 324.4845 19.4786 95.32370 88.235 1200000 5.2035160 93.58620 86.1731 243.3304 365.4699 95.292 15 B8.MO 1300000 14.5961974 93.55175 86.4356 162.1762 299.8237 95.25811 88.162 1100000 239918418 93.51367 86.3942 81.0221 234.3277 95.22020 88.121 1500000 38599197 93.47120 86.3 is i 365.1276 168.9847 95.17784 88.075 1600000 13.2616477 93.42330 86.2973 283.9735 103.75172 95.13007 88.0-J 1 1700000 22.6664904 93.36855 86.2393 202.8193 38.7679 95.075 1 1 87.966 1800000 2.5139093 93.30182 86.1724 121.6652 385.6847 95.01177 H7,S99 1900000 11.9551300 93.22882 86.0932 40.5110 320.9798 94.93584 87.820 2000000 21.3696141 93.13508 85.9963 324.6166 256.4410 94.84212 87.723 2100000 1.256S-J3-.; 93.01329 85.8713 248.4624 192.0710 94.73109 87.59s 2200000 10.6779828 92.81032 85.6952 162.3083 127.8724 94)54826 87498 2300000 20.102554(5 -92.5I23.-S -85.3942 81.1541 63.8478 -94.25011! -87.121 DAT. ARG. 6. LOG. 6'. LOG. 6". ARG. 7. LOG. 7". LOG. 7". ARG. 8. LOG. 8'. Loo. 8". 0 7.2514 -1-94.3374 +87.597 8.9079 -94.1786 -87.121 6.1678 —93.862! > —86.792 100000 31.721)6 94.3228 87.579 6.8667 94.1610 87.103 3.95 17 98.8471 < 86.774 200000 21.3537 94.3074 87.559 4.8305 94.14s'3 87.083 1.7110 93.832! > 86.751 300000 10.9704 !) 1.29 10 87.539 2.7996 94.1319 87.063 14.9232 98.815! , 8f!.73 4 400000 0.5795 94.2737 87.518 0.7710 94.1113 87.042 12.7176 93.798( ) 86.713 500000 25.0277 94.2553 87.496 8.3675 94.0956 87.020 10.51 16 93.779: i 86.691 600000 14.6213 94.2355 87.472 6.3528 91.0757 86.996 8.3143 93.759 1 86.661 700(100 4.2067 94.2144 87.447 4.3438 91.0544 86.971 6.116S 93.738 86.612 800000 28.6308 94.1918 87.421 2.3 105 94.0318 86.915 3.9220 98.715! '. 86.616 900000 18.199^ 94.1674 87.393 0.3130 94.0071 88.917 1.7300 08.690- 86:588 1000000 7.7598 94.1412 87.363 7.9653 93.9807 86.887 14.9283 93.0i; I 80.806 1100000 32. 1583 94.1128 87.381 5.9799 93.9525 86.855 12.7121 98.635 86i586 1200000 21.7009 94.0813 N7.296 4.0006 93.9216 86.820 10.5590 93.60 H ) 86.191 1300000 11.2315 94.0470 87.258 2.0277 93.8872 86.782 8.8788 98.569J . s6. 153 1100000 0.7588 94.0092 87.217 9.6749 93.M92 86.741 6.20 IN 98.581! > 86. llv> 1500000 25.1207 93.9670 87.171 7.7119 93.S067 86.695 4.0279 93. |89< 1 86.366 [600000 1 J.(i2(i2 93.9193 S7.I-JO 5.-;6 16 93.7590 Mi. 'ill 1.857S 93,1112 86.315 1700000 4.1219 93.8647 87.063 3.SM9 93.1013 86.586 15.0770 98.386 80.357 1800000 28, 15 Hi 93.8011 86.995 t.8751 93.6 107 86.519 12.9129 98.3221 86.190 I! 100000 17.9305 93.725 1 86.916 9.5560 93.5:1 is 86.440 10.752 1 93.2167 86.111 •_'<)( lOl KM) 7.8961 93.6318 7.6302 93. 11 1 1 86.343 8.5946 98.153C 86.014 2100000 3 1.6! is\! 93.5102 86.69 1 57116 93.3191 86.218 6,1107 93.031! 85.889 2300000 21.1 129 933375 S6.5IN :t,s003 93. II 61 86.042 -1.21)02 93.858! S5.713 .1000 10. 51 Hi > +93.0397 +86.217 1.8964 -92.8786 85.1 1 1 2.1133 -92.5601 -85,412 70 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARG, 9. LOG. 9'. LOG. 9". ARG. 1O. LOG. 10'. LOG. 1O". ARG. 11. LOG. 11'. LOG. 1 1". 0 25.6590 -94.5146 -87.461 13.4695 -94.4492 -87.396 13.0788 +94.4033 +87.348 100000 7.0583 94.5001 87.443 11.7147 94.4345 87.378 26.0864 94.3886 87.330 200000 18.2*714 94.4846 87.423 9.9693 94.4190 87.358 12.2071 94.3732 87.310 300000 29.4957 94.4680 87.403 8.2335 94.4025 87.338 25.1975 94.3567 87.290 400000 10.9287 94.4506 87.382 6.5076 94.3850 87.317 11.3007 94.3393 87.269 500000 22.1762 94.4320 87.360 4.7917 94.3664 87.295 24.2732 94.3206 87.247 600000 3.6328 94.4123 87.336 3.0862 94.3467 87.271 10.3581 94.3009 87.223 700000 14.9044 94.3911 87.311 1.3911 94.3254 87.246 23.3119 94.2797 87.198 800000 26.1885 94.3(583 87.285 25.3284 94.3027 87.220 9.3778 94.2569 87.172 900000 7.6823 94.3438 87.257 23.6548 94.2784 87.192 22.3122 94.2324 87.144 1000000 18.9920 94.3175 87.227 21.9924 94.2519 87.162 8.3583 94.2061 87.114 1100000 0.5119 94.2887 87.195 20.3413 94.2232 87.130 21.2726 94.1772 87.082 1200000 11.8481 94.2575 87.160 18.7017 94.1919 87.095 7.2982 94.1457 87.047 1300000 23.1979 94.2230 87.122 17.0738 94.1575 87.057 20.1915 94.1114 87.009 1400000 4.7587 94.1853 87.081 15.4579 94.1200 87.016 6.1959 94.0734 86.968 1500000 16.1365 94.1428 87.035 13.8541 94.0772 86.970 19.0676 94.0311 86.922 1600000 27.5286 94.0950 86.984 12.2626 94.0295 86.919 5.0499 93.9833 86.871 1700000 9.1325 94.0405 86.926 10.6837 93.9748 86.861 17.8993 93.9286 86.813 1800000 20.5511 93.9768 86.859 9.1175 93.9112 86.794 3.8589 93.8649 86.746 1900000 2.1879 93.9009 86.780 7.5643 93.8354 86.715 16.6851 93.7892 86.667 2000000 13.6398 93.8073 86.683 6.0243 93.7417 86.618 2.6212 93.6954 86.570 2100000 25.1073 93.6855 86.558 4.4976 93.6199 86493 15.4235 93.5737 86.445 2200000 6.7878 93.5127 86.382 2.9846 93.4471 86.317 1.3354 93.4009 86.269 2300000 18.2872, -93.2149 -86.081 1.4853 -93.1492 -86.016 14.1131 +93.1030 1 +85.968 DAY. ARG. 19. LOG. 13'. LOG. 12 ". ARG. 13. LOG. 13'. ARG. 14. LOG. 14'. ARG. 15. Loo. 15'. 0 337.3723 +94.7409 +87.655 2.7557 +93.279 25.527 +94.346 0.927 -93.906 100000 164.6955 94.7259 87.637 3.9081 93.261 3.816 94.328 6.772 93.887 200000 338.6200 94.7101 87.617 5.0600 93.241 11.363 94.308 12.618 93.865 300000 165.9052 94.6934 87.597 6.2114 93.221 18.904 94.288 4.276 93.848 400000 339.7910 94.6757 87.576 7.3623 93.200 26.438 94.267 10.128 93.827 500000 167.0368 94.6568 87.554 8.5127 93.178 4.703 94.245 1.790 93.805 600000 340.8823 94.6368 87.530 9.6625 93.154 12.224 94.221 7.646 93.781 700000 168.0871 94.6153 87.505 0.7273 93.129 19.738 94.196 13.505 93.756 800000 341.8909 94.5924 87.479 1.8760 93.103 27.246 94.170 5.175 93.729 900000 169.0532 94.5677 87.451 3.0242 93.075 5.483 94.142 11.039 93.702 1000000 342.8138 94.5410 87.421 4.1718 93.045 12.977 94.112 2.714 93.672 1100000 169.9321 94.5122 87.389 5.3188 93.013 20.463 94.080 8.583 93.640 1200000 343.6479 94.4806 87.354 6.4652 92.978 27.942 94.045 0.263 93.605 1300000 170.7207 94.4461 87.316 7.6110 92.940 6.149 94.007 6.138 93.567 1400000 344.3903 94.4079 87.275 8.7561 92.899 13.613 93.966 12.016 93.526 1500000 171.4161 94.3653 87.229 9.9006 92.853 21.068 93.920 3.704 93.480 1600000 345.0379 94.3173 87.178 0.9598 92.802 28.515 93.869 9.588 93.429 1700000 172.0151 94.2625 87.120 2.1030 92.744 6.691 93.811 1.283 93.372 1800000 345.5877 94.1987 87.053 3.2454 92.677 14.122 93.744 7.172 93.304 1900000 172.5149 94.1225 86.974 4.3871 92.598 21.545 93.665 13.064 93.225 2000000 346.0367 94.0287 86.877 5.5281 92.501 28.959 93.568! 4.768 93.128 2100000 172.9123 93.9069 86.752 6.6684 92.376 7.101 93.443, 10.667 93.003 2200000 346.3818 93.7338 86.576 7.8079 92.200 14.498 93.267 2.378 92.827 2300000 173.2044 +93.4358 +86.275 8.9466' +91.899 21.885 +92.966 8.283 -92.526 71 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. AHG. 16. Loo. 16'. ARG. 17. LOG. 17'. ARG. 18. LOG. 18'. ARG. 19. LOG. 19'. 0 7.980 —94.361 19.088 -93.889 5.893 -94.274 20.567 -94.8382 100000 0.435 94.343 21.679 93.871 5.989 94.256 16.366 94.8236 200000 7.151 94.323 24.273 93.851 6.090 94.236 12.18S 94.N080 300000 13.873 94.303 26.869 93.831 6.197 94.216 8.033 94.7916 400000 6.348 94.282 2.145 93.810 6.308 94.195 3.902 94.7742 500000 13.084 94.260 4.745 93.788 6.426 94.173 24.097 94.7556 600000 5.572 94.236 7.348 93.764 6.549 94.149 20.016 94.7358 700000 12.322 94.211 9.953 93.739 6.678 94.124 15.960 94.7146 800000 4.825 94.185 12.560 93.713 6.814 9 4.098 11.930 94.6919 900000 11.589 94.157 15.170 93.685 6.955 94.070 7.926 94.6675 1000000 4.107 94.127 17.782 93.655 7.102 94.040 3.949 94.6412 1 100000 10.887 94.095 20.397 93.623 7.256 94008 0.000 94.6123 1200000 3.420 94.060 23.014 93.588 7.415 93.973 20.381 94.5811 1300000 10.215 94.022 25.634 93550 7.582 93.935 16.489 94.5 167 1400000 2.764 93.981 0.935 93.509 7.755 93.894 12.625 94.5089 1500000 9.575 93935 3.560 93.463 7.935 93.848 8.791 94.4665 1600000 2.141 93.884 6.189 93.412 8.121 93.797 4.987 94.4188 1700000 8.969 93.826 8.820 93.354 8.315 93 739 1.213 94.36 12 1800000 1.552 93.759 11.454 98.287 8.516 93.672 21.773 i) 1.3007 1900000 8.398 93.680 14.091 93.208 8.723 93.593 18.062 91.2243 2000000 0.998 93.583 16.731 93.111 8.938 93.496 14.384 94.1309 2100000 7.862" 93.458 19.374 92.986 9.161 93.371 10.738 94.0094 2200000 0.480 93.282 22.020 92.810 9.391 93195 7.125 93.8365 2300000 7.363 -92.981 24.669 -92.509 9.628 -92.894 3.545 -93.5387 DAY. ARG.9O. Loo.SO'. ARG. 91. LoG.91'. AUG. 99. Loo.99'. ARG. 23. Loo.23'. 0 0.771 —94.580 129.77 -95.438 1.111 -93.961 3.32C i -94.352 100000 8.353 94.562 57.51 95.420 18.43-J 93.943 7.067 94.334 200000 1.628 94.542 1 17.00 95.400 8.62S 93.923 10.81 94.314 300000 9.232 94.522 44.90 95.380 20.95- 93.903 14.567 94.294 400000 2.529 94.501 104.55 95.859 6.157 93.882 18.327 94.273 500000 10 155 94.479 32.61 95.337 23. IS! 93.86C 22.0!)!, 94.251 600000 3.475 94.455 92.42 95.313 8.6!)( 93.83(1 2.09S !> 1.227 700000 11.124 94.430 20.64 95588 26.03.r 93.811 5.67S 94.202 800000 4.467 94.404 80.62 95.36-2 11.24? 93.785 !Ui.~)l 94.176 900000 12.140 94.376 9.02 !)5.23 1 28.592 93.75*7 13.45! 94.148 1000000 5.508 94346 69.18 95.204 13.811 93.727 17.25£ 94.118 1100000 13.207 94.314 129.42 95.172 31.1 6-, 93.695 21.061 94.086 1200000 6.600 94.879 58.09 95.137 16.387 93.660 1.106 94.051 1300000 0.007 94.341 118.53 95.0!)!) 1.616 93.622 4.931 94.013 1 100000 7.745 94.200 47.39 95.058 18.976 93.581 8.76S 93.972 1500000 1.178 94.154 108.02 95.012 4.212 93535 12.60£ 93.926 1000000 8.943 94.103 37.08 ill.itin 21.57! 93.484 16.468 98.875 17000(10 2.405 ill. 015 97.91 91. (103 lisvM 93.42( 20.806 '98.817 1800000 10.198 93.978 27.17 94.836 24.194 93.359 0.891 93.750 1900000 3.688 93.899 88.20 94.757 9.444 93.280 4.27S !»:f.671 2000000 11.511 93.802 17.67 !> 1.61,0 26.824 93.183 8.15E 93.574 2100<>:!.-> 12.081 93 05s 12.0 H 93.449 2200000 12>s3 93.50I 8.61 94.35!) 29.469 92.882 15.94*3 93.273 2300000 6.l:d -93.200 70.09 -94.05s 14.733 -92.581 19.851 -92.972 72 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARG. 24. LOG. 24 . ARG. 25. LOG. 25'. ARG. 26. LOG. 26'. ARC. 27. LOG. 27'. 0 9.555 -91.517 2.427 —94.248 3.825 —94.156 0.44 -94.788 100000 10.685 9 1.529 7.724 94.230 0.459 94.138 0.20 94.770 200000 11.825 94.509 3.660 94.210 2.919 94.118 25.80 94.750 300000 12.975 94.489 8.967 94.190 5.384 94.098 25.59 94.730 400000 0.859 94.468 4.913 94.169 2.030 94.077 25.40 94.709 500000 2.030 94.446 0.863 94.147 4.502 94.055 25.23 94.687 600000 3.211 94.422 6.186 94.123 1.157 94.031 25.08 94.663 700000 4.404 94.397 2.148 94.098 3.638 94.006 24.94 94.638 800000 5.607 94.371 7.4S2 94.072 0.302 93.980 24.82 94.612 900000 6.822 94.343 3.454 94.044 2.792 93.952 24.72 94.584 1000000 8.049 94.313 8.800 94.014 5.287 93.922 24.65 94.554 1 100000 9.287 94.281 4.784 93.982 1.965 93.890 24.59 94.522 1200000 10.538 94.246 0.774 93.947 4.469 93.855 24.55 94.487 1300000 11.800 94.208 6.138 93.909 1.156 93.817 24.53 94.449 1400000 13075 94.167 2.140 93.868 3.671 93.776 24.54 94.408 1500000 1.086 94.121 7.516 93.822 0.368 93.730 24.56 94.362 1600000 2.386 94.070 3.532 93.771 2.893 93.679 24.61 94.311 1700000 3.700 94.012 8.921 93.713 5.423 93.621 24.68 94.253 1800000 5.026 93.915 4.949 93.646 2.136 93.551 24.77 94.186 1900000 6.367 93.866 0.984 93.567 4.677 93.475 24.89 94.107 2000000 7.720 93.769 6.394 &3.470 1.401 93.378 25.03 94.010 2100000 9.088 93.614 2.443 93.345 3.954 93.253 25.19 93.885 2200000 10.470 93.468 7.866 93.169 0.689 93.077 25.38 93.709 2300000 11.866 -93.167 3.929 —92.868 3.253 -92.776 25.59 —93.408 DAY. ARG. 28. LOG. 28'. ARG. 29. Loo. 29'. ARG. 3D. LOG. 3O7. ARG. 31. LOG. 31'. 0 33.941 -94,465 8.071 -94.718 9.741 +93.294 13.80 -f-93.857 100000 31.030 94.447 12.988 94.730 2.861 93.276 10.70 93.839 200000 28.110 94.427 17.920 94.710 6.351 93.256 7.61 93.819 300000 25.182 94.407 22.869 94.690 9.841 93.236 4.51 93.799 400000 22.246 94.386 27.833 94.669 2.959 93.215 1.41 93.778 500000 19.301 94.364 0.051 94.617 6.447 93.193 13.62 93.756 600000 16.318 94.310 5.049 94.623 t.935 93.169 10.51 93.732 700000 13.3^5 94.315 10.064 94.598 3.051 93.144 7.40 93.707 800000 10.413 94.289 15.097 94.572 6.537 93.118 4.28 93.681 900000 7.432 94.261 20.148 94.544 10.023 93.090 1.17 93.653 1000000 4.442 94.231 25.217 94.514 3.138 93.060 13.36 93.623 1 100000 1.442 94.199 30.304 94.482 6.622 93.028 10.24 93.591 1200000 36.954 94.164 2.617 94.447 10.106 92.993 7.11 93.556 1300000 33.934 94.126 7.773 94.409 3.218 92.955 3.98 93.518 1100000 30.904 94.085 12.919 94.368 6.700 92.914 0.85 93.477 1500000 27.863 94.039 18.081 &L822 10.182 92.868 13.03 93.131 1600000 24.812 93.988 23.270 91.271 3.292 92.817 9.90 93.380 1700000 21.750 93.930 28. 176 94213 6.772 92.759 6.75 93.322 1800000 18.677 93.863 0.940 94.146 10.252 92.692 3.61 93.255 1900000 15.593 93.784 6.189 94.067 3.360 92.613 0.46 93.176 93.970 2000000 12.498 93.687 ' 11.459 6.838 92.516 12.63 93.079 2100000 9.391 93.562 16.751 93.845 10315 92.39 1 9.48 92.9.'. 1 2200000 6.272 93.386 22.066 93.669 3.420 92.215 6.32 92.778 2300000 3.112 -93.085 27.403 -93.368 6.896 +91.914 3.16 +92.477 73 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARG. 39. LOG. 33'. AHG. 33. LOG. 33'. ARG. 34. LOG. 31'. ARG. 35. LOG. 35'. 0 12.55 +94.405 17.07 -94.635 5.54 +94.314 20.52 -94.501 100000 15.58 94.387 4.04 94.617 6.52 94.296 13.56 94.483 200000 1.97 94.367 23.47 94.597 7.49 94.276 6.61 94.463 300000 4.99 94.347 10.46 94.577 8.45 94.256 23.62 94.443 400000 7.99 94.326 29.91 94.556 9.41 94.235 16.69 94.422 500000 11.00 94.304 16.92 94.534 10.37 94.213 9.76 94.400 600000 13.99 94.280 3.95 94.510 11.31 94.189 2.85 94.376 700000 0.35 94.255 23.43 94.485 12.25 94.164 19.89 94.351 800000 3.33 94.229 10.48 94.459 13.18 94.138 13.00 94.325 900000 6.31 94.201 30.00 94.431 14.11 94.110 6.12 94.297 1000000 9.27 94.171 17.08 94.401 15.03 94.080 23.19 94.267 1100000 12.23 94.139 4.17 94.369 15.94 94.048 16.33 94.235 1200000 16.18 94.104 23.72 94.334 16.84 94.013 9.48 94.200 1300000 1.49 94.066 10.84 94.296 17.74 93.975 2.64 94.162 1400000 4.43 94.025 30.43 94.255 18.63 93.934 19.75 94.121 1500000 7.35 93.979 17.58 94.209 19.51 93.888 12.93 94.075 1600000 10.27 93.928 4.74 94.158 20.38 93.837 6.13 94.024 1700000 13.18 93.870 24.37 94.100 21.25 93.779 23.27 93.966 1800000 16.08 93.803 11.57 94.033 22.11 93.712 16.49 93.899 1900000 2.33 93.724 31.23 93.954 22.96 93.633 9.72 93.820 2000000 5.21 93.627 18.46 93.857 23.80 93.536 2.96 93.723 2100000 8.08 93.502 5.71 93.7:w 24.64 93411 20.16 93.598 2200000 10.94 93.326 25.42 93.556 25.46 93235 13.43 93.422 2300000 13.79 +93.025 12.70 -93.255 26.28 +92.934 6.71 -93.121 DAY. ARG. 36. LOG. 36'. ARO. 37. Loo. 37'. ARG. 38. LOG. 38'. ARG. 39. Loo. 39'. 0 12.32 -94.237 34.1 +95.024 8.2E -94.580 23.7 -94.79 100000 2.01 94.219 26.8 95.006 14.02 94.562 11.6 94.77 200000 5.41 94.199 19.4 94.986 1.02 94.542 88.8 94.75 300000 8.83 94.179 12.0 94.966 6.81 94.522 21.6 94.73 400000 12.25 94.158 4.6 94.945 12.62 94.501 9.3 94.71 500000 1.96 94.136 34.7 94.923 18.44 94.479 31.5 94.69 600000 5.39 94.112 27.3 94.899 5.4? 94.455 19.2 94.66 700000 8.84 94.087 19.8 94.874 11.32 94.430 6.9 94.64 800000 12.29 94.061 12.2 94.848 17.18 94.404 29.0 94.61 900000 2.03 94.033 4.7 94.820 4.26 94.376 16.6 94.58 1000000 5.49 91.003 34.7 94.790 10.14 94.346 4.2 94.55 1100000 8.96 93.971 27.1 94.758 16.03 94.314 26.2 94.52 1200000 12.45 93.936 19.4 94.723 3.15 94.279 13.7 94.49 1300000 2.22 93.898 11.7 94.685 9.07 94.241 1.3 94.45 1400000 5.71 93.857 4.0 94.641 15.01 94.200 23.2 94.41 1500000 9.22 93.811 33.9 94.598 2.17 94.154 10.7 94.36 1600000 12.73 93.760 26.1 94.547 8.13 94.103 32.6 94.31 1700000 2.54 93.702 18.3 94.489 14.11 94.015 20.0 94.25 1800000 6.07! 93.6351 10.4 94.422 1.31 93.978 7.3 94.19 1900000 9.61 93.556 2.5 94.343 7.32 93.899 29.2 94.11 2000KIIO 13.16 93.459 32.2 94.246 13.34 93.802 16.5 94.01 3100000 2.99 !):i.:ni 24.2 94.121 0.59 93.677 3.8 93.89 3900000 6.56 93.158 16.2 93.945 6.64 93.501 25.5 93.71 ij:«H)000 10.13 -92.857 8.1 +93.644 12.71 -93.200 12.8 -93.41 - 74 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARG. 4O. LOG. 4O'. ARG. 41. LOG. 41'. ARO. 43. LOG. 49'. ARG. 43. LOG. 43'. 0 3.48 +94.63 9.23 +94.61 2.57 -94.28 13.05 —94.37 100000 1.19 94.61 3.02 94.59 4.93 94.26 6.96 94.35 200000 17.62 94.59 14.71 94.57 7.29 94.24 0.88 94.33 300000 15.25 94.57 8.48 94.55 9.66 94.22 9.35 94.31 400000 12.86 94.55 2.23 94.53 1.88 94.20 3.28 94.29 500000 10.47 94.53 13.89 94.51 4.26 94.18 11.76 94.27 600000 8.06 94.51 7.62 94.49 6.65 94.16 5.71 94.25 700000 5.64 94.48 1.34 94.46 9.04 94.13 14.20 94.22 800000 3.21 94.45 12.97 94.43 1.29 94.10 8.17 94.19 900000 0.77 94.43 6.66 94.41 3.69 94.08 2.14 94.17 1000000 17.15 91.40 0.34 94.38 6.10 94.05 10.66 94.14 1100000 14.68 94.36 11.93 94.34 8.52 94.01 4.65 94.10 1200000 12.19 94.33 5.59 94.31 0.80 93.98 13.18 94.07 1300000 9.69 94.29 17.15 94.27 3.23 93.94 7.19 94.03 1400000 7.18 94.25 10.78 94.23 5.66 93.90 1.20 93.99 1500000 4.65 94.20 4.39 94.18 8.11 93.85 9.77 93.94 1600000 2.10 94.15 15.91 94.13 0.41 93.80 3.80 93.89 1700000 18.38 94.10 9.50 94.08 2.87 93.75 12.38 93.84 1800000 15.81 94.03 3.07 94.01 5.34 93.68 6.43 93.77 1900000 13.22 93.95 14.54 93.93 7.81 93.60 0.49 93.69 2000000 10.61 93.85 8.08 93.83 0.15 93.50 9.09 93.59 2100000 7.98 93.73 1.61 93.71 2.63 93.38 3.17 93.47 2200000 5.34 93.55 13.03 93.53 5.13 93.20 11.80 93.29 2300000 2.68 +93.25 6.53 +93.23 7.64 -92.90 5.89 -93.99 DAY. ARG. 44. ARG. 45. ARG. 46. ARG. 47. ARG. 48. LOG. 48'. ARO. 49. ARG. 5O. 0 4.8 8.93 3.6 4.93 6.86 -94.66 5.5 19.8 100000 18.5 11.33 24.1 2.95 26.36 94.64 9.4 1.3 200000 9.4 13.74 15.7 0.97 15.9B 94.62 0.5 7.9 300000 0.3 16.15 7.2 13.12 5.54 94.60 4.4 14.5 400000 14.1 1.67 27.7 11.13 25.09 94.58 8.3 21.1 500000 5.1 4.09 19.2 9.15 14.71 94.56 12.3 2.6 600000 18.9 6.51 10.7 7.17 4.3S 94.54 3.5 9.2 700000 10.0 8.93 2.2 5.20 23.93 94.51 7.4 15.7 800000 1.1 11.36 22.6 3.22 13.59 94.48 11.4 22.3 900000 15.1 13.79 14.1 1.24 3.27 94.46 2.6 3.8 1000000 6.2 16.22 5.5 13.40 22.8S 94.43 6.6 10.3 1 100000 20.2 1.76 25.9 11.43 12.60 94.39 10.6 16.8 1200000 11.5 4.20 17.3 9.45 2.32 94.36 1.9 23.3 1300000 2.7 6.64 8.7 7.48 21.99 94.33 5.9 4.7 1400000 16.8 9.09 0.1 5.52 11.74 94.28 10.0 11.2 1500000 8.2 11.54 20.4 3.54 1.51 94.23 1.2 17.6 1600000 22.3 14.00 11.8 1.57 21.23 94.18 5.3 24.0 1700000 13.7 16.46 3.1 13.74 11.03 94.13 9.4 5.4 1800000 5.2 2.02 23.4 11.77 0.85 94.06 0.7 11.8 1900000 19.4 4.49 14.7 9.81 20.62 93.98 4.8 18.2 2000000 10.9 6.96 6.0 7.84 10.47 93.88 8.9 24.6 2100000 2.4 9.44 26.3 5.88 0.34 93.76 0.3 6.0 2200000 16.8 11.92 17.5 3.92 20.n 93.58 4.4 12.3 2300000 8.4 14.41 8.8 1.96 10.07 —93.28 8.6 18.7 75 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARG. 51. LOG. 51'. ARG. 52. ARG. 53. LOG. 53'. ARC. 54. ARC. 55. ARG. 56. 0 7.90 —94.13 7.92 32.88 +94.650 1.05 5.90 0.11 100000 15.10 94.11 16.01 7.18 94.632 12.27 4.85 5.56 200000 4.10 94.09 24.10 99.01 94.612 8.42 3.79 11.01 300000 11.32 94.07 6.96 73.29 94.592 4.58 2.74 3.35 400000 0.33 94.05 15.05 47.56 94.571 0.74 1.68 8.80 500000 7.56 94.03 23.14 21.82 94.549 11.97 0.62 1.13 600000 14.79 94.01 5.99 113.60 94.525 8.14 19.19 ^6.59 700000 3.81 93.98 14.08 87.82 94.500 4.31 18.13 12.05 800000' 11.05 93.95 22.16 62.04 94.474 0.48 17.07 4.38 900000 18.29 93.93 5.02 36.24 94.446 11.72 16.01 9.84 1000000 7.32 93.90 13.10 10.43 94.416 7.90 14.95 2.18 1100000 14.58 93.86 21.18 102.14 94.384 4.09 13.89 7.64 1200000 3.62 93.83 4.03 76.30 94.349 0.27 12.82 13.10 1300000 10.88 93.79 12.11 50.44 94.311 11.53 11.76 5.45 1400000 18.15 93.75 20.19 24.57 94.270 7.73 10.69 10.91 1500000 7.20 93.70 3.04 116.22 94.224 3.93 9.63 3.25 1600000 14.48 93.65 11.11 90.31 94.173 0.13 8.56 8.72 1700000 3.54 93.60 19.19 64.39 94.115 11.40 7.49 1.07 1800000 10.83 93.53 2.03 38.45 94.048 7.61 6.43 6.53 1900000 18.12 93.45 10.11 12.50 93.969 3.82 5.36 12.00 2000000 7.20 93.35 18.18 104.07 93.872 0.04 4.29 4.35 2100000 1450 9323 1.02 78.08 93.747 11.32 3.22 9.82 2200000 3.58 93.05 9.09 52.07 93.571 7.55 2.15 2.17 2300000 10.90 -92.75 17.16 26.04 +93.270 3.77 1.07 7.65 DAY. ABO. 57. ARG. 58. A KG. 59. ARG. 6O. ARG. 61. ARG. 63. ARG. 63. ARG. 64. 0 0.44 6.20 23.11 10.63 9.27 1.09 10.05 32.84 100000 1237 2.23 2.72 9.17 4.33 4.63 9.04 10.25 200000 7.31 13.46 21.29 7.72 13.01 8.17 8.03 23.68 300000 2.27 9.49 0.89 6.28 8.07 11.72 7.02 1.12 400000 14.21 5.49 19.45 4.84 3.14 0.82 6.01 14.58 500000 9.18 1.49 38.0C 3.41 11.82 4.37 5.01 28.05 600000 4.15 12.72 17.59 1.99 6.89 7.92 4.01 5.65 700000 16.11 8.69 36.11 0.57 1.96 11.47 3.01 19.06 800000 11.10 4.66 15.72 21.49 10.64 0.58 2.01 32.59 900000 6.09 0.63 8491 20.09 5.72 4.14 1.01 10.15 1000000 1.10 11.82 13.83 18.69 0.79 7.70 0.02 23.72 1100000 13.09 7.77 32.36 17.31 9.48 11.26 12.66 1.81 1200000 8.11 3.71 11.92 15.93 4.55 0.38 11.68 14.92 1300000 3.14 14.86 30.43 14.56 13.24 3.95 10.69 28.55 1400000 15.16 10.8C 9.96 13.19 8.32 7.52 9.71 6.21 1500000 10.20 6.71 28.49 11.84 3.40 11.09 8.73 19.88 1600000 5.26 2.61 8.03 10.49 12.09 0.22 7.75 33.58 1700000 0.32 13.75 26.53 9.15 7.17 3.79 6.77 11.30 1800000 12.37 9.64 6.06 7.82 2.26 7.37 5.80 25.04 1900000 7.46 5.5J 24.55 6.49 10.95 10.95 4.83 2.81 2000000 2.55 1.36 4.06 5.18 6.04 0.09 3.86 16.60 2100000 14.64 12.4€ 22.54 3.87 1.12 3.67 2.89 30.41 •^•jooooo 9.75 8.33 2.01 2.57 9.82 7.26 1.92 8.26 2300000 4.87 4.11 20.51 1.28 4.91 10.85 0.96 22.11 76 TABLE IV. Constants of Epochs and Arguments for «very Hundred Thousandth Day to 2300000. DAY. ARG. 65. ARG. 66. AKG. 67. LOG. 67'. ARG. 68. LOG. 68'. ARG. 69. LOG. 69'. 0 6.08 15.4 3.97 -94.483 6.58 -94.630 151.6 -95.993 100000 13.62 26.5 0.26 94.465 18.84 94.612 102.3 95.S75 200000 6.69 2.0 24.01 94.445 3.43 94.592 53.3 95.955 300000 14.24 13.2 20.32 94.425 15.71 94.572 4.6 95.935 400000 7.32 24.3 16.63 94.404 0.33 94.551 428.0 95.914 500000 0.41 35.5 12.97 94.382 12.63 94.529 379.8 95.892 600000 7.97 11.0 9.30 94.358 24.94 94.505 332.0 95.868 700000 1.06 22.2 5.65 94.333 9.60 94.480 284.4 95.843 800000 8.63 33.4 2.00 94.307 21.94 94.454 237.2 95.817 900000 1.73 9.0 25.81 94.279 6.62 94.426 190.2 95.789 1000000 9.30 20.2 22.19 94.249 18.99 94.396 143.6 95.759 1100000 2.41 31.4 18.57 94.217 3.70 94364 97.3 95.727 1200000 10.00 7.0 14.96 94.182 16.09 94.329 51.4 95.692 1300000 3.11 18.2 11.37 94.144 0.83 94.291 5.8 95.654 1400000 10.70 29.5 7.78 94.103 13.25 94.250 432.4 95.613 1500000 3.83 5.1 4.21 94.057 25.69 94.204 387.5 95.567 1600000 11.43 16.4 0.65 94.006 10.47 94.153 342.9 95.516 1700000 4.56 27.6 24.54 93.948 22.94 94.095 298.7 95.458 1800000 12.16 3.3 21.00 93.881 7.75 94028 254.9 95.391 1900000 5.30 14.6 17.47 93.802 20.25 93.949 211.4 95.312 95.215 2000000 12.92 25.9 13.95 93.705 5.10 93.852 168.4 2100000 6.06 1.6 10.44 93.580 17.63 93.727 125.7 95.090 2200000 13.69 12.9 6.95 93.404 2.52 93.551 83.4 94.914 2300000 6.84 24.3 3.47 -93.103 15.08 -93.250 41.5 -94.613 DAY. ARG. 7O. Los.7O'. ARG. 71. ARG. 73. ARG. 73. LOG. 73'. ARG. 74. LOG. 74'. 0 228.4 -95.096 500.3 85.6 320.3 +96.432 1633 +96.526 100000 300.9 95.07S 65.8 364.6 1777.3' 96.414 1443 96.508 200000 43.5 95.051- 2] 5.3 244.7 1043.1 96.394; 1252 96.488 300000 116.2 95.036 364.7 124.8 308.2 96.374 10601 96.468 400000 188.8 95.0H 514.2 4.9 1762.9 96.353 866 96.447 500000 261.4 94.995 79.8 283.8 1026.3 96.331 672 96.425 600000 4.3 94.97) 229.2 163.9 289.0 96.307 477 96.401 700000 77.0 94.946 378.7 44.0 1741.2 96.282 281 96.376 800000 149.7 94.92C 1 528.1 323.0 1002.1 96.256 84 96.350 900000 222.5 94.89S 93.7 203.1 262.2 96.228 3119 96.322 1000000 295.3 94.865 243.2 83.2 1711.8 96.198 2919 96.292 1100000 38.4 94.83C I 392.6 362.2 970.1 96.166 2719 96.260 1200000 111.3 94.79E . 542.1 242.2 227.5 96.131 2517 96.225 1300000 184.2 94.751; 107.6 122.3 1674.3 96.093 2314 96.187 1400000 257.2 94.716 257.1 2.4 929.8 96.052 2110 96.146 1500000 0.4 94.67C I 406.6 281.4 184.3 96.006 1905 96.100 1600000 73.4 94.61E 556.0 161.5 1628.2 95.955 1698. 96.049 1700000 146.5 94.56) 121.0 41.6 880.8 95.897 1491 95.991 1800000 219.7 94.494 271.0 320.6 132.3 95.830 1282 95.924 1900000 292.9 94.415 . 420.5 200.7 1573.2 95.751 1071 95.845 2000000 36.3 94.3 If- ( 570.0 80.7 822.6 95.654 860 95.748 2100000 109.6 94.195 ! 135.5 359.7 71.0 95.529 647 95.623 2200000 183.0 94.on 285.0 239.8 1508.7 95.353 433 95.447 2300000 256.3 — 93.7H » 431.5 119.9 754.9 +95 052 217 +95.146 77 TABLE IV. Constants of Epochs and Arguments for every Hundred Thousandth Day to 2300000. DAY. ARC. 73. ARG. 76. ARC. 78. Loo. 78'. ARG. 79. ARG. S». ARG. 81. LOG. 81'. 0 57844 69646 150.567 -95.206 81.9 149.2 16.37 —95.025 100000 73091 75172 26.076 95.188 131.3 288.0 30.83 95.007 200000 3584 80362 89.831 95.168 180.7 113.6 15.:i-2 94.987 300000 18831 86117 153.631 95.148 230.4 252.1 59.83 94.967 400000 34078 91534 29.276 95.127 280.2 77.4 74.38 94.946 500000 49325 1424 93.169 95.105 330.2 215.7 88.96 94.924 600000 64571 6766 157.111 95.081 380.3 40.8 10:5.57 94.900 700000 798 IS 12069 32.899 95.056 430.6 178.9 118.21 94.875 800000 10312 17332 96.910 95.030 42.8 3.7 8.67 94.H 19 900000 25558 22554 161.031 95.002 93.4 111.5 23.38 91.821 1000000 40805 27735 36.973 94.972 144.3 279.2 38.12 91.791 1 100000 5605-2 32874 101.170 94.940 195.3 103.6 52.89 94.759 1200000 71298 37969 165. 120 94.905 246.5 211.0 67.70 94.724 1300000 1792 43021 41.525 94.867 297.9 65.2 82.55 94.6S6 1 400000 17039 48029 105.886 94.826 319.5 202.3 97,43 94.6 15 1500000 32286 52991 170.305 94.780 401.3 26.2 112.35 9 1.599 KiOOOOO 475'« 57908 46.580 94.729 15.0 163.0 3.10 91.517 1700000 6277H 62777 111.116 94.671 67.1 299.7 18.09 1)1.190 1800000 780 2fi 67599 175.712 94.604 119.5 123.2 33.13 94.483 1900000 8519 72373 52.167 94.525 172.1 259.6 48.20 94.344 2000000 2376f 77098 116.887 94.428 225.0 82.7 63.32 91.217 2100000 390 IS 81773 181.669 94.303 278.0 218.8 78,48 94.12-2 9000000 5426C 86397 58.313 94.127 331.2 41.7 93.68 03.946 2300000 6950S 90969 123.224 -93.826 384.7 177.4 108.92 -93.645 DAY. ARG. 89. ARG. 83. ARG. 81. ARG. 85. ARG. 86. ARG. 87. ARG. 88. ARG. 89. ARG. 90. 0 8.720 28.58 9.80 6.63 28.32 8.97 12.82 1.48 12.4 100000 8.256 38.75 4.57 2.47 33.75 11.51 255 2.92 6.4 200000 7.801 9.72 18.50 21.82 0.87 14.05 6.95 4.37 0.5 300000 7.353 19.91 13.28 17.65 6.26 2.38 11.34 5.82 26.8 400000 6.913 30.10 8.06 13.48 11.64 4.93 1.06 7.29 20.9 500000 6.480 1.08 2.85 9.31 16.99 7.48 5.45 8.76 11.!) 600000 6.056 11.29 16.78 5.13 22.33 10.01 9.83 10.21 9.0 700000 5.611 21.50 11.57 0.95 27.65 1260 14.21 11.73 3.0 800000 5.288 31.71 6.37 20.28 32.95 0.95 3.91 13.23 29.4 900000 4.835 2.72 1.16 16.10 38.21 :i.5-2 8.28 14.74 •2:i.5 1000000 4.445 12.95 15.11 11.91 5.21 6.09 12 65 16.25 17.6 1100000 4.064 23.18 9.91 7.71 10.45 8.67 2.3 1 17.78 11.7 1200000 3.692 33. 42 4.71 8.52 15.67 11.25 6.70 0.01 1:500000 3.330 4.46 18.66 22.84 20.87 13.84 11.05 1.55 82.2 1400000 2.877 1J.71 13.47 18.64 26.05 2.22 0.73 3.11 26.8 1500000 2.633 21.97 8.28 14.44 31.21 4.82 5.08 4.68 20.4 16001100 •2 :«)0 8534 3.10 10.23 36.:t i 7.12 9. 12 6.26 1 1.5 1700000 l.!»7(i 6,80 17.0!) 6.02 3.17i 10.02 13.75 7.85 8.6 (800000 1.662 16.58 11.88 1.81 8.261 l-2.000 16803 321 1181 36 1028 31 11 10 11 10 08 09 11 (;:>ooo 36000 17121 302 1217 M 1062 32 11 10 11 10 08 09 11 (il(X)O 37000 17426 281 lv!.-(| :(2 1091 80 12 10 11 11 08 09 11 63000 88808 17707 259 1288 30 1121 28 12 11 12 11 OB 10 12 ( 12000 39000 17966 236 1313 29 1152 26 13 11 12 11 09 10 12 61000 40000 1820-.! 218 1342 27 117S 24 13 11 12 12 09 10 12 60000 41000 1 > 120 200 1369 94 1202 22 13 11 12 12 09 10 12 5MMO 12000 Is, ;-.!() Is-.; 1898 21 1 22 1 20 13 11 12 12 09 10 12 :>sooo 43000 IssO-.' |i;o mi 18 12 11 17 14 11 12 13 in 11 12 57800 11000 189li 1 1 12 1 132 15 1261 15 14 II 12 13 10 11 12 58880 45000 19106 117 1117 M me 12 14 II 12 13 10 11 12 55000 46000 19223 HS 1 I.'.!) 10 I2S8 9 14 11 12 H 10 11 12 r> looo »7ooo 1!I311 60 1 169 7 121)7 6 14 11 12 13 10 11 12 53000 18000 19371 3.-I 1 17;; :. 1303 4 14 11 12 13 10 11 12 52000 19000 19106 10 11N1 2 1307 1 14 11 12 13 10 11 12 51000 50000 10416 148B 1308 14 11 12 13 10 11 12 50000 80 LONGITUDE TABLES, EQUATIONS. TABLES VI.-LXXXII. SECOND AND FOURTH DIFFERENCES FOR A QUARTER OF A DAT. TABLES VI'.- XXXV"., VI.™ - XXI.m TABLE VI. ARGUMENT 1. Equation = 22655".226 + 22639 '.2 sin. x + 769".5 sin. 2x + 36".7 sin. 3x + 2".0 sin. 4x -f O'M sin. 5*. Period, 27.55455245 days. Da vs. ( > 1 i 2 i 3 4 ]',-, I'll. oi ,1 1 ay. Equation. Log. Dif l-J i u ii ion. Log. Dif. Equation. Log. Dif. K<[u;ilion. Log. Dif. Initiation. lag. Dif. .00 60.87 -0.5682 274.44 +0.9117 1684.78 + 1.3038 4268.29 + 1.4981 7924.37 + 1.6172 .01 57.17 o. 5539 282.60 0.9180 1704.91 1.3065 4299.78 1.4995 7965.79 1 6182 .02 53.59 05103 290.88 0.9213 1725.16 1.3090 4331.37 1.5011 8007.31 1.6192 .03 50.12 0.5250 299.28 0-9304 1745.53 1.3113 4363.07 1.5025 SO is. 92 1.6201 .04 46.77 0.5092 307.80 0.9365 1766.01 1.3139 4394.88 1.5041 8090.62 1.6209 .05 43.54 0. l!» I'.1 316.44 0.9425 1786.61 1.3164 4426.80 1 .5055 8132.40 1.6219 .06 40.42 0.4771 325.20 0.9484 1807.33 1.3187 1 I5S.S3 1.5069 8171.27 1.6228 .07 37.4-.> 0.4594 334.08 0.9512 1828.16 1.3212 4190.96 1.5084 8216.23 1.6237 .08 34.54 0. 1 125 :i 13 os 0.9600 1849.11 1.3236 4523.20 1.5099 8258.28 1.6217 .09 31.77 0.4232 352.20 0.9657 1870.18 1.3261 4555.55 1.5112 N300.42 1.6256 .10 29.12 0.4048 36 1 .44 0.9713 1891.37 1.3281 4588.00 1.5127 83 12.65 1.6264 .11 26.5S 0.383s 370.SO O.!)7tis 1912.67 1.330N 4620.56 1.5110 S3S1.96 1.6274 .12 24.16 0.3817 380.28 0.9827 1934.0!* 1.3332 1(153.22 1.5151 S 127.36 1 .6283 .13 21.86 0.33s;> 389.89 0.9881 1955.63 1.3357 4685.99 1.5170 8469.85 1.6291 .14 19.68 0.3160 399.62 0.9930 1977.2!! 1.3379 4718.87 1.5183 8512.42 1.6300 .15 17.61 0.2900 409.46 0.9983 1999.06 1.3103 4751.85 1.5197 8555.08 16309 .16 15.66 0.2625 419.42 1.0033 2020.95 1.3426 4784.94 1.5210 8597. S3 1.6318 .17 13.88 0.2355 429.50 1.0090 2012.96 1.3450 4818.13 1.5224 S6 10.67 1 .6327 .18 12.11 0.2011 439.71 1.0140 2065.0!) 1.3172 4851.13 1.5238 8683.5!) 1.6335 .19 10.51 0.1703 450.04 1.0191 2087.33 [.8495 4884.84 1.5251 8726.59 1.6311 .20 9.03 0.1335 160,49 1.0237 2109.6!) 1.3516 1!) 18.35 1.5266 8769.68 1.6353 .21 7.67 0.0969 471.05 1.0286 2 132. 16 1.353!) 4951 97 1.5278 SM2.S6 1.6361 .22 6.42 0.0531 481.73 1 .033N 2151.75 1.3562 4985.69 1.5292 8856.12 1.6370 .23 5.29 0.0013 492.54 1.0386 2177.16 1.35S3 5019.51 1.5306 h899. 17 1.6378 .24 4.28 9.9512 503.47 1.0433 2200.28 1.3606 5053.44 1.5319 89 42.90 1.6386 .25 3.38 9.8921 514.52 1.0479 2223.22 .8628 50S7. 17 1.5333 8986.41 1.6395 .96 2.60 9.M 1!C> 525.69 1.0526 2216.2S ,3(!19 5121.61 1.5315 ! 1030.01 1.6103 .27 1.94 9.732 1 536.98 1.0569 226!).i:> .3672 5155,85 1.5358 9073.6!) 1.6112 .28 1.40 9.6232 5 18.3s 1.0618 2292.7 1 .3692 5190.19 1.5372 9117.16 1.6120 .29 0.98 9.4914 559.91 1.0664 2316.11 .3715 5224.64 1.5384 9161.31 1.6128 .30 0.67 9.2788 571.56 1.0708 2339.66 .3736 5259.19 1.5399 9205.24 1.6137 .31 0.48 .8.8151 583:33 1.0749 2363.30 .3756 5293.85 1.5111 9219.26 1.6444 .32 0.41 1-8.6990 595.28 1.0795 2387.05 .3779 5328.61 1.5121 9293.36 1.6152 .33 0.46 9.20 1 1 607.23 1.0638 2110.92 .3799 5363. 17 1.5437 9337.54 1.6160 .34 0.62 9.4 172 619.36 1.0881 2 13 !.!)() ,3820 539". 1 1 1.5150 9381. NO 1.6168 .:r> 0.90 9.6021 631.61 1.0923 2459.00 .3s 12 5133.51 1.5462 9426. 1 1 1.6476 .:t(i 130 9.7160 643.98 1.0968 21s:!.-.".' .3861 51 68. 68 1.5474 9170.51! 1.6484 .37 1.82 9.8062 656. n 1.1007 2507.;.;. .3SS 1 5503.95 1.5JN7 9515.06 1.6498 .38 2.46 9.8761 669.08 .1052 2531.99 .3903 553!). 32 1.5500 955!). 65 1.6500 .39 3.21 9.9395 681.82 .10&9 2556.55 .3923 5571, Mi 1.5512 9601.32 1.6508 .40 4.08 9.9956 691.67 .1130 2581.23 .3943 56 10 38 1.5521 96 19.07 1.6515 .41 5.07 o.oi53 707.64 .1168 2606.02 .3962 5(i 16.06 1.5537 9693. s!) 1.6522 .42 6.18 0.0899 720.73 .1209 2630. 92 .8982 5681.84 1.5519 973N.79 1 .6530 .491 7.11 0.1303 733.9 1 .1249 2655.9 1 .1(101 5717.72 1 .556 1 9783.77 1.6539 .11 8.76 0.1644 7 17.27 .1287 2681.08 . 1023 5753.70 1.5574 N 1 1.6517 .45 10.29 0.1987 760.72 .1326 2706.33 1011 5789.79 1 ..v.st; 9873.99 1.6553 .46 1 IX) 0.2-104 77 1.29 ,132.76 .1101 5898.68 1.5622 10009.87 1.6577 ,1!) J7.26 0.3139 815.74 .1476 2MI.8. 17 til!) 51)35. 1 1 1.5634 10055.33 1.6584 .:,() 19.3-2 +0.33S5 + 1.1513 2831.29 M 1138 5! (71.73 ( 1.5616 10100.87 + 1.6591 S2 TABLE VI. ARGUMENT 1. Equation = 22655".226 -J- 22G39".2 sin. x -{- 769".5 sin. 2z -f- 36". 7 sin. 3x -(- 2".0 sin. 4c -}- 0".l sin. 5x, Period, 27.55455245 days. Days. O 1 2 3 4 Decimal! of .1 Da/. Equation. Log. Dif. Equal inn. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. .50 19.32 +0.3385 829".79 +I.15t3 2834.29 +1.4138 5971.73 + 1.5646 10100.87 +1.6591 .51 21.5D 0.3017 843.96 1.1550 2860.22 1.4158 6008.42 1.5656 10146.48 1.6598 .52 23.80 0.3820 858.25 1.1587 2886.27 1.4176 6045.20 1.5668 10192.17 1.6606 .53 26.21 0.4031 872.66 1.1620 2912.43 1.4194 6082.08 1.5681 10237.94 1.6614 .54 2b.74 0.4232 887.20 1.1662 2938.70 1.4215 6119.07 1.5692 10283.79 1.6620 .55 31.39 0 1 425 901.86 1.1694 2965.09 1.4232 6156.16 1.5703 10329.71 1.6627 .56 34 10 0 460i> 9.6.63 1.1730 2991.59 1.425: 6193.34 1.5714.' 10375.70 1.6634 .57 37.05 0. 1786 9-SI.521 1.1764 8018.21 1.420S 6230.62 1.5720i I04.M.77 1.6642 .53 40.06 0.1955 910.5:{j 1.1801 3044.93 1.4288 6268.00 1.5738 10467.92 1.6649 .59 43.19 0.5119 961.67 1.1833 3071.77 1.4306 6305.48 1.5750 10514.15 1.6658 .00 46.44 0.5276 976.92 1.1867 3098.72 1.4325 6343.06 1.5760 10560.46 1.6663 .61 49.81 0.54 Hi 992.29 1.1900 3125.79 1.4343 6380.73 1.5771 10606.84 1.6670 .62 53.29 0.55<53 1007.78 1.1934 3152.97 1.4300 6418.50 1.57S2 10653.29 1.6676 .63 56.89 0.5705 1023.39 1.1967 3180.26 1.4378 6456.37 1.5794 10099.81 1.6684 .64 60.61 0.5855 1039.12 1.2000 3207.66 1.4396 6494.34 1.5806 10746.41 1.6691 .65 64.46 0.5988 1054.97 1.2034 3235.18 1.4414 6532.41 1.5817 10793.09 1.6698 .66 68.43 0.6107 1070 94 1.2065 3262.81 1.4433 6570.58 1.5826 10839.84 1.6704 .67 72.51 0.6232 1087.03 1.20J5 3^90.56 1.4 itb 6608.83 1.5838 10886.66 1.6711 .68 76.71 0.0355 1103.23 1.2130 3318.42 1.4467 6647.18 1.5849 10933.55 1.6718 .69 81.03 0.6474 1119.56 1.2161 3346.39 1.4484 6685.63 1.5861 10980.52 1.6725 .70 85.47 0.6599 1136.01 1.2191 3374.47 1.4501 6724.18 1.5872 11027.56 1.6731 .71 90.04 0.6702 1152.57 1.2225 3402.66 1.4518 6762.83 1.5882 11074.67 1.6737 .72 94.72 0.6812 1169.26 1.2256 3430.96 1.4535 6801.57 1.5892 11121.85 1.6745 .73 99.52 0.6920 1186.07 1.2284 3459.37 1.4553 6840.40 1.5903 11109.11 1.6752 .74 104.44 0.7024 1202.99 1.2314 3487.90 1.4570 6879.33 1.5914 11216.44 1.6758 .75 109.48 0.7126 1220.03 1.2:47 3510.54 1.1587 G9!8."6 1.592! 112.13.f-! 1.6764 .76 11464 0.7226 1237.20 1.2375 3545.29 1.4602 6957.48 1.5935 11311.31 1.6771 .77 119.92 0.7316 1254.48 1.2405 3574.14 1.4620 6996.70 1.5945 11358.85 1.6776 .78 125.31 07419 1271.89 1.2 137 S'lO'Vll 1.4037 7036.01 1.5955 1140645 16783 .79 130.83 0.7513 1289.41 1.2465 3632.^0 1.4652 7075.41 1.5966 11454.13 1.6790 .80 136.47 0.7597 1307.05 1.2495 3661.39 1.4669 7114.91 1.5077 11501.88 1.6796 .81 142.22 0.7 ;.> i 13J4.81 1.2521 3 190.69 1.4S84 7154.51 1.5.87 11549.70 1.6802 .82 148.10 0.7782 1342.68 1.2553 3720.10 1.4701 7194.20 1.5997 11597.59 1.6808 .83 154.10 0.786* 1360.68 1.2582 3749.62 1.4719 7233.98 1.6007 11645.54 1.6814 .84 160.22 0.7945 1378.80 1.2610 3779.26 1.4735 7273.85 1.6017 11693.56 1.0820 .85 166.45 0.8035 1397.04 1.2637 3809.01 1.4749 7313.82 1.6027 11741.65 1.0828 .86 172.81 0.8116 1415.39 1.2664 3838.86 1.4766 7353.88 1.6037 1 1789.82 1.6833 .87 179.29 0.8195 1433.86 1.2693 3868.82 1.4781 7394.03 1.6047 11838.05 1.6838 .88 185.89 0.8274 1452.45 1.2720 3898.89 1.4799 7434.27 1.6057 11886.34 1.6844 .89 • 192.61 0.8351 1471.16 1.2749 3929.08 1.4814 7474.61 1.6067 11934.70 1.6851 .90 199.45 0.8420 1489.99 1.2777 3959.38 1.4829 7515.04 1.6077 11983.13 1.6857 .91 206.40 0.8500 1508.94 1.2801 3989.78 1.4844 7555.56 1.6086 12031.63 1.6862 .92 213.48 0.8573 1528.00 1.2828 4020.29 1.4860 7596.17 1.6097 12080.19 1.6869 .93 220.68 0.8645 1547.18 1.2858 4050.91 1.4875 7636.88 1.6107 12128.82 1.6875 .94 228.00 0.8716 1566.49 1.2882 4081.64 1.4892 7677.68 1.6116 12177.52 1.6880 .95 235.44 0.8785 1585.91 1.2909 4112.48 1.4907 7718.57 1.6126 12226.28 1.6887 ,96 213.00 0.8854 1605.45 1.2936 4143.43 1.4921 7759.55 1.6135 12275.11 1.0892 .97 250.68 0.8921 1625.11 1.2961 4174.48 1.4936 7800.62 1.6145 12324.00 1.6897 .98 258.48 0.8987 1644.88 1.2987 4205.64 1.4952 7841.78 1.6154 12372.95 1.6904 .99 266.40 0.9053 1664.77 1.3012 4236.91 1.4966 7883.03 1.6164 12421.97 1.6910 1.00 274.44 +0.9117 1684.78 +1.3038 4268.29 +1.4981 7924.37 +1.6172 12471.06 +1.6915 83 TABLE VI. ARGUMENT 1. Equation = 22655".226 -f 22639".2 sin. x -4- 769".5 sin. 2x -f- 36".7 sin. 3x -f 2".0 sin. 4x + 0".l sin. 5x. Period, 27.55455245 days. Da ys < * < 1 I r i 8 o Decimals of a Day. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dir. Equation. Log. Dif. Equation. lag. Dif. .00 12471.06 +1.6915 17650.56 +1.7321 23146.27 + 1.7434 28610.81 +1.7267 33099.81 +1.6804 .01 12520.21 1.6921 17704.52 1.7323 23201.66 1.7483 28664.11 1.7264 33717.75 1.0797 .02 12569.42 1.6927 17758.51 1.7325 23257.04 1.7433 28717.37 1.7262 33795.5- 1.0791 .03 12618.70 1.6932 17812.52 1.7328 23312.42 1.7133 28770.60 1.7258 33813.35 1.0785 .04 12668.04 1.6937 17866.57 1.7331 23367.80 1.7432 28823.79 1.7255 33891.05 1.6779 .05 12717.44 1.6942 17920.66 1.7333 23423.17 1.7132 28876.94 1.7251 33938.68 1.6772 .06 12766.90 1.6949 17971.77 1.7335 23478.54 1.7432 28930.04 1.7249 339S0.21 1.0766 .07 12816.43 1.6954 18028.90 1.7338 23533.90 1.7131 28983. 1 1 1.7848 31033.73 1.6700 .08 12866.02 1.6959 18083.07 1.7340 23589.25 1.7431 29036.14 1.7212 31081.15 ] .0753 .09 12915.67 1.6966 18137.27 1.7342 23644.60 1.7131 29089.13 1.7239 34128.49 1.0715 .10 12965.39 1.6970 18191.50 1.7345 23699.95 1.7430 29142. Os 1.7235 34175.76 1.6739 .11 13015.16 1.6975 18245.76 1.7310 23755.29 1.7130 29191.98 1.7231 34222.90 1.0733 .12 13064.99 1.6980 18300.04 1.7S49 23810.02 1.7129 29247.84 1.7228 3 1270.09 1 0720 .13 13114.88 1.6986 18354.35 1.7351 23865.94 1.7428 29300.66 1.7225 31317.15 1.0720 .14 13164.84 1.6991 18408.69 1.7354 23921.25 1.7428 29353.44 1.7221 34364.14 1.0713 .15 13214.85 1.6996 18463.06 1.7355 23976.56 1.7427 29406.18 1.7217 31111.05 1.0700 .16 13261.92 1.7001 18517.45 1.7358 24031.86 1.7426 2945s. s7 1.7211 34457.89 1 0700 .17 13315.05 1.7006 18571.87 1.7360 24087.15 1.7425 29511.52 1.7211 3150100 1.0092 .18 13365.24 1.7010 1862632 1.7362 24142,13 1.7425 29564.13 1.7208 31551 .35 l.OOSO .19 13415.48 1.7017 18680.79 1.7363 24197.70 1.7424 29616.70 1.7204 31597.97 1.6679 .20 13465.79 1.7021 18735.28 1.7366 21252.96 1.7423 29669.22 1.7199 31614.51 1.0072 .21 1351*). 15 1.7026 18789.80 1.7308 2130S.21 1.7422 29721.69 1.7195 310909s 1.0005 .22 135(56.57 1.7031 1881 1.35 1.7370 21303.15 1.7421 29771.12 1.7192 31737.3S 1.6658 .23 13617.05 1.7036 18898.92 1.7372 24418.68 1.7421 29826.51 1.7188 31783.70 1.0051 .24 13667.58 1.7011 18953.52 1.7374 24473.89 1.7120 29878.85 1.7185 34829.95 1.0614 .25 13718.17 .7046 19008.14 1.7375 21529.10 1.7119 29931.15 1.7181 31870.12 1.6686 .26 1370s. vj .7050 19062.78 1.7377 2458l.:;t> 1.74 IS 299*-:! . !!> 1.7177 :: 1922.21 1.0630 .27 13s 19.52 .7055 19117.44 1 7379 21639. is .7417 30035.60 1.7172 3 I90S.23 1.6622 '.28 13S70.2S .7060 19172.13 1 .73S 1 2IU91.65 .7416 300S7.75 1.7109 35011.17 1.6616 .29 13921.09 .7065 19226.84 1.7382 2 17 19.80 .7416 30139. si; 1.716-0 3500001 1.6608 .30 13971.96 1.7069 19281.57 1.7381 2 180 1.95 .7414 30191.93 1.7161 35105 s:j i.oooo .HI 11022. ss 1.7074 19330.32 1. 73.stJ 21SU0.08 .7113 30213.91 1.7158 35151.51 1 0593 .32 14073.86 1.7079 19:5!) 109 1 ::;SN 21915.19 .7112 30295.91 1.7153 35197.17 1.05NO .:!:{ 11121. Ml 1 .70S4 19I15.S9 1.7390 21970.29 .7110 303 17.82 1.71 19 "52 12.73 .0579 .34 14175.98 1.7087 19500.71 1.7390 25025.3s .7409 30399.69 1.7145 36388.81 .0572 .35 11227.12 1.7092 19.-i55.51 1.7392 250M). 15 .7108 30151.51 1.7140 35333.02 .0503 .36 1 I27S.31 1.7096 19610.39 1.7391 25135.50 .7107 30503.2N 1.7137 35378.9 1 .0555 .37 1 1329 55 .7101 19005.27 1.7390 25190.5! .7 10U 30555.00 1.7132 36434.18 .0519 .38 1 13M».-,.~, .7105 19720.17 1.7397 252 15. 5C .7 105 30600.67 1.7188 35l09.:<5 .05 1 1 .39 1 4 132.20 .7111 19775.08 1.7398 25300.57 .7101 30688.29 1.7121 3551 1.11 .0533 .40 14483.61 .7114 19830.01 1 .7 100 25:!55.57 .7 102 30709. SO 1.7120 35559. 15 .0521 .41 1 1535.00 .7118 19884.96 1.7102 25110.51 .7100 30701.3s 1.7110 351,01.37 .6518 .1-2 i i.-»o :•;; .7123 199:19.93 1.7403 25465.49 ,7398 30-12.85 1.7112 35(1 19.22 .0510 .13 1403- 12 .7127 19991.91 1 .7 105 25520. 12 .7898 30-01.27 1.7107 35093.99 .0502 .11 1 10-9.73 .1191 2011 19.92 1.7408 25575.3 1 .7396 ::o9 i5.oi 1.7102 35738.08 0191 .48 1J7 11 39 ,7188 20101.91 1.710(1 25' 130.21 .7391 30900.95 1.705)8 35783.29 .dlsO M 14793.09 .711(1 20l.~>:i.97 1.7IOS 46685. IS .7:193 3 10 18 21 1.7d9 1 35827.81 .0 179 .17 l is n s.~, .7143 2021. -,.02 1.7409 257:19. 98 .7391 31009.12 1.7088 35872.20 .0170 .IN l 1S9U.05 .71 Is 20:70.09 1.7110 25791.89 .7390 31120.57 1.7081 35910.02 1.6462 .I'.i 119 Is 51 .7153 20325.17 1.7112 2~>s|9.(,l ,7388 31171.07 1 7080 3511(10.90 1 0151 .50 15000.12 -f-l.71.~ili 20:is().27 (•1.7413 25901.11 h 1.7386 31222.72 + 1.7075 30005.10 II. 011(1 1 si TABLE VI. ARGUMENT 1. Equation = 22655^.226 -4- 22639".2 sin. x -4- 769".5 sin. 2z -j- 36".7 sin. 3x -f- 2".0 sin. 4r/0)".l shi. Period, 27.55455245 days. r j>j»,«"_.*t Days. 5 6 7 8 v^*i' urLi;i J ^»— . --= Decimals ul a Day. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif .50 15000.42 + 1.7156 20380.27 +1.7413 25904.4 1 +1.7386 31222.72+1.7075 36005.10 + 1.6l4'i .51 15052.37 1.7160 20435.38 1.7413 25959.22 1.7385 31273.71 1.7070 360 19.22 1.6439 .52 15101.37 1.7164 20190.50 1.7415 26013.98 1.7383 31324.65 1.7066 36093.2fi 1.64:!0 .53 15156.42 1.7167 20545.64 1.7416 26068.72 1.7382 31375.53 1.7062 36137.21 1.6422 .54 15208.51 1.7171 20600.79 1.7417 26123.44 1.7379 31426.36 1.7057 36181.08 1.6414 .55 15260.65 1.7176 20655.96 1.7418 26178.13 1.7378 31477.14 1.7052 36224.87 1.6405 .56 15312.84 1.7180 20711.14 1.7419 26232.80 1.7376 31527.86 1.7047 36268.57 1.6397 .57 15365.08 1.7184 20766.33! 1.7119 26287.45 1.7371 31578.52 1.7042 36312.19 1.6389 .58 15417.36 1.7187 20821.53 1.7420 26342.07 1.7372 31629.12' 1.7037 3635573 1.6380 .59 15469.69 1.7191 20876.74 1.7421 26396.67 1.7370 31679.67 1.703-2 36399.18 1.6372 .60 15522.06 1.7195 20931.96 1.7422 26451.25 1.7368 31730.16 1.7027 36442.55 1.6363 .61 15574.48 1.7198 20987.19 1.7423 26505.80 1.7366 31780.60 1.70-23 36485.83 1.6355 .62 15626.91 1.7203 21042.44 1.7425 26560.33 1.7364 31830.98 1.7018 36529.03 1.6346 .63 15679.45 1.7206 21097.71 1.7425 26614.83 1.7362 31881.30 1.7012 36572.14 1.6338 .61 15732.00 1.7210 21152.98 1.7425 20669.31 1.7360 31931.56 1.7007 36615.17 1.6329 .65 15784.60 1.7213 21208.26 1.7425 26723.76 1.7358 31981.76 1.7002 36658.11 1.6320 .66 15837.24 1.7217 21263.54 1.7127 26778.19 1.7356 32031.91 1.6998 36700.97 1.6311 .67 15889.92 1.7220 21318.84 1.7127 26832.59 1.7351 32082.00 1.6992 36743.74 1.6302 .68 15942.65 1.7224 21374.11 1.7428 26886.96 1.7352 32132.03 1.6987 36786.42 1.6294 .69 15995.42 1.7227 21429.45 1.7429 26911.31 1.7350 32181.99 1.6981 36829.02 1.6285 .70 16018.23 1.7230 21484.77 1.7429 26995.63 1.7347 32231.89 1.6976 3687 1 .53 1.6276 .71 16101.08 1.7233 21540.10 1.7430 27049.92 1.7345 32281.74 1.6972 36913.95 1 .6267 .72 16153.97 1.7238 21595.44 1.7130 27101.18 1.7343 32331.53 1.6967 36956.29 1.6258 .73 16206.91 1.7241 2165078 1.7431 27158.42 1.7341 32381.26 1.6961 36998.54 1.6249 .74 16259.89 1.7215 21706.13 1.7431 27212.63 1.7339 32430.93 1.6955 37040.70 1.6240 .75 16312.91 1.7248 21761.48 1.7432 27266.81 1.7336 32480.53 1.6950 37082.78 1.6231 .76 16365.97 1.7250 21816.84 1.7432 27320.96 1.7331 32530.07 1.6943 37124.77 1 .6222 .77 16419.06 1.7251 21872.20 1.7432 27375.08 1.7330 32579.54, 1.6939 37166.67 1.6213 .78 16172.20 1.7257 21927.57 1.7433 27429.16 1.7329 32628.96 1.6933 37208.48 1.6203 .79 16525.38 1.7-261 21982.95 1.7433 27483.22 1.7326 32678.32 1.6928 37250.20 1.6194 .80 16578.60 1.7263 22038.33 1.7133 27537.25 1.7324 32727.61 1.6923 37291.83 1.6184 .81 16631.85 1.7266 22093.71 1.7131 27591.25 1.7321 32776.84; 1.6917 37333.37 1.6175 .82 16685.11 1.7269 22149.10 1.7131 27615.21 1.7318 32826.01 1.6911 37374.82 1.6166 .83 16738,47 1.727:! 2220 1. 19 1.7131 27699.14 1.7316 32875.11 1.6906 37116.18 1.6157 .81 16791.84 1.7275 22259.88 1.7135 27753.01 1.7314 32024.15 1.6899 37457.46 1.6147 .85 16845.21 1.727!) 22315.28 1 .7 135 27806.91 1.7311 32973.12 1.6894 37498.65 1.6137. .86 16898.68 1.7282 22370. CM 1.7135 27860.75 1.7308 33022.03 1.6888 37539.74 1.6128 .87 16952.16 1.7285 22126.08 1.7135 27914.55 1.7306 33070.88; 1.6882 37580.74 1.6118 .88 17005.68 1.7288 22481.1s 1.7135 27968.32 1.7303 33119.66 1.6876 37621.65 1.6109 .89 17059.23 1.7290 22536.8s 1.7135 28022.06 1.7300 33168.37 1.6870 37662:17 1.6099 .90 17112.81 1.7294 22592.28 1.7136 28075.76 1.7298 33217.02 1.6864 37703.20 1.6089 .91 17166,43 1.7297 226 17.69 1.7135 2s 1-29.43 1.7294 83265.60] 1.6859 37743.84 1.6080 .92 1722009 1.7299 2270:{.09 1.7136 28183.06 1.7291 33314.12 1.6852 37784.39 1.6069 .93 17273.78 1.7302 22758.50 1.7135 28286.65 1.7289 33362.57 1.6847 37821.81 . 1.6061 .91 17327.51 17305 •22-' 13.90 1.7435 28290.21 1.7286 33410.96 1.6841 37865.21 1 .6050 .95 17381.27 1.7307 22869.30 1.7135 28313.71 1.7282 33159.28 1.6834 37905,18 1.6040 .96 17 135.06 1.7310 22921.70 1 .7 135 28397.23 1.7279 33507.52 1.6828 37945.66 1.6031 .97 17188.89 1.7313 22980.10 1.7434 28460.68 1.7276 33555 70 1 .6822 37985.7S 1.6020 .98 17512.75 1.7315 23035 19 1.7131 28504.09 1.7273 33603.81 1.6816 38:125.74 I. WHO .99 17596.61 1.7318 23090.88 17134 •28557.17 1.7270 33651.86 1.6811 38065.6 1 1.6000 1.00 17650.56 + 1.7322 23116.27 + 1.7131 28610.81 + 1.7267 33699.84 + 1.6801 38105.45 + 1.5989 85 TABLE VI. ARGUMENT 1. Equation = 22655".226 + 22639 '.2 sin. x -f 769".5 sin. 2x + 36".7 sin. 3* -f 2".0 sin. 4x -f 0".l sin. 5x. Period, 27.55455245 days. Da ys. 1 0 1 1 1 3 1 » 1 4 Decimals of a Day. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Bit .00 38105. i:> + 1.5988 41582.33 +1.4689 43962-ss • 1.2.->31 45160.73 +0.7716 45164.90 -0.7679 .01 38145.16 1.5979 41611.77 1.1673 43980.79 1.2502 45166.64 0.7627 45159.04 0.7760 .02 38184.78 1.5968 41641.10 1.4657 43!)!»s.5s 1.217.') 15172.43 0.7536 45153.07 0.7839 .03 38224.30 1.5958 41670.32 1.1(110 44016.2(i 1.2112 45178.10 0.7443 15146.99 0.7917 .04 38263.73 1.5949 41699.43 1.4625 44033.81 1.2112 45183.6.') 0.7348 45140.80 0.8000 .05 38303.07 .5937 41728. 1 1 1.4608 44051.21 1.2385 45189.08 0.7259 45131.19 0.8082 .06 38342.31 .5927 41757.33 1.15! 10 44068. :>li 1.2355 451!) 1,10 0.7152 45128.06 0.8156 .07 38381.46 .5916 41786.10 1.1575 44085.76 1.2322 45199.59 0.7050 15121.52 0.8228 .08 ::s 120.51 .5906 41814.77 1.4557 4 1 102. s.-i 1.2295 45204.66 0.6946 45114.87 0.8306 .09 38459.47 .5895 41843.33 1.4539 44119.79 1.2263 45209.61 0.6839 45108.10 0.8376 .10 38498.33 1.5884 41871.77 1.4523 44136.63 1.2232 45214.44 0.6739 45101.22 0.8445 .11 38537.09 1.5874 41900.10 i.i:>o7 44 15:;. 3;, 1.2201 15219.16 0.6618 45091.23 0.8519 .12 38575.76 1.5864 41928.33 1.4489 4416!).!).-) 1.2169 45223.75 0.6503 45(187.12 0.8585 .13 38614.34 1.5852 41956.44 1.4470 44186.43 1.2138 45228.22 0.6385 45079.90 0.8651 .14 38652.82 1.5811 41984.43 1.4454 44202.79 1.2106 45232.57 0.6274 45072.57 0.8722 .15 38691.20 1.5830 42012.32 1.4436 44219.03 1.2076 45236.81 0.6149 45065.12 0.8785 .16 387-.J9.48 1.5819 42040.09 1.4418 44235.16 1.2041 I.VJtO.93 0.6010 45057.56 0.8848 .17 3S767.67 1.5808 42067.75 1.4401 44251.16 1.2009 15214.92 0.5888 45019.S9 0.8915 .18 38805.76 1.5798 42095.30 1.4381 44267.04 1.1976 45248.80 0.5752 45012.10 0.8976 .19 38843.76 1.5786 42122.74 1.4365 44282.80 1.1945 45252.56 0.5611 45031.20 0.9036 .20 38881.66 1.3775 42150.06 1.4318 41298.45 1.1909 45256.20 0.5465 45026.19 0.9096 .21 38919.46 1.5763 42177.27 1.1330 41313.97 1.1875 45259.72 0.5315 45018.07 0.9159 .22 38957.16 1.5752 42204.37 1.4313 44329.37 1.1840 45263.12 0.5159 45009.83 0.9217 .23 38994.76 1.5741 42231.36 1.1292 41311.65 1.1810 45266.40 0.4997 45001.48 0.9274 .24 39032.27 1.5730 42258.23 1.4275 44359.82 1.1775 45269.56 0.4829 44993.02 0.9335 .25 39069.68 1.5718 42284.99 1.4257 41374.87 1.1740 45272.60 0.4654 44984.44 0.9390 .26 39106.99 1.5706 42311.64 1.1237 113s!).M) 1.1703 45275.52 0.4172 44975.75 0.9445 .27 39144.20 1.5695 42338.17 1.4219 44401. (it) 1.1668 45278.32 0.4298 44966.95 0.9199 .28 39181.31 .5683 42361.5!) .4200 44419.28 1.1632 45281.01 0.4099 44958.04 0.9552 .29 39218.32 .5672 42390.89 .1181 44433.84 1.1599 45283.58 0.38.74 44949.02 0.9609 .30 39255.24 .5659 42417.08 .4163 44448.29 1.1562 45286.02 0.3674 44939.S8 0.9661 .31 39292.05 .5648 I.' 113.16 .4145 44462.62 1.1526 4528S.35 0.3444 44930.63 0.9713 .32 39328.76 .5637 42469.13 .4125 1 1 176.S3 1.1486 45290.56 0.3201 11921 27 0. 97H3 .33 39365.38 .5624 42494.98 .4106 1 111)0.91 1.1449 45292.65 0.2945 44911.80 0.9814 .34 39401.89 1.5613 42520.72 .4085 41501,s7 1,1415 45294.62 0.2672 44902.22 0.9863 .35 39438.31 1.5600 42516.31 1.4067 11. '> 18.72 1.1377 45296.47 0.2405 44892.53 0.9917 .36 3!) 174.62 1.5588 42571.85 1.4046 1 1532.45 1.1338 45298.21 0.206s 1 ls.vj.7-J 0.9961 .37 39510.83 1.5576 42597.21 1.4028 41516.06 1.121)7 45299.82 0.1761 11872.81 1.0013 .38 311516.94 1.5564 42622.52 1.4009 44559.54 1.1258 45301.32 0.1399 1 1S62.78 1.0060 .39 39q82.95 1.6552 I2ii 17.69 1.3988 44572.90 1.1222 45302.70 0.1004 44852.64 1.0107 .40 39618.86 i..-,:,io 1267274 1.3967 44586.15 1.1179 45303.96 0.0569 US 12.39 1.0151 .11 39651.67 1.5528 42697.67 1.8949 44599.27 1.1142 4530.-). 10 O.OON6 I 1832.03 1.0199 43 39690. ::s 1.5515 12722.49 1.3929 44612.28 1.1099 45306.12 9.9590 Iis-Jl.56 1.0245 .43 39725.99 1.5502 127 17.20 .8906 44625.16 1.1059 15307.03 9.8921 14810.98 1.0290 .11 3!»761.49 1.5190 42771.79 :3888 44637.92 1.1021 45307.81 9.8261 list 10.29 1.0334 .45 39796.89 1.5478 42706.27 .3867 4-4650. 57 1.0976 15308.48 9.7404 44789.49 1.0382 .46 39s32.ll) 1.5465 12.vJO.63 .38 J5 44663.0'.) 1. 01)31 15309.03 9.633.') 1 1778.57 1.0422 .47 39867.39 1.51.VJ 12844.87 .3825 1167.-). 1!) 1.0895 15309.16 9.5051 1 1767.55 1.0164 48 39902. Is 1.513!) I2s.i!l.00 .3806 41687.7- 1.0849 1530! l.7s 9.27 ss 1475643 1.0507 .49 3HD37.47 1.5126 I-JS93.02 .37s 1 4469!).!) I 1.0S06 15309.97 8.9031 44745.18 1.0554 .50 39972.3-i + 1.5111 12!)lti.92 + 1.3762 44711.98 + 1.0763 i:>3 10.05 +8.6021 44733.82 -1.0592 86 TABLE VI. ARGUMENT 1. Enimiion = 22655".226 -(- 22639".2 sin. x -f 769".5 sin. 2z -f 36".7 sin. 3z -f 2".0 sin. 4a? -f 0".l sin. 5r. Period, 27.55455245 days. Days. 10 11 13 13 14 Pucinuil. of a Day Equation. Lo?. Dif. Equation. Log. Dif. Equation. Lou. Dif, Equation. Log. Dif. Equation. Log. Dif. .50 39972.36+1.541 42916.92 + 1.3762 44711.9? +1.0763 45310.05 +8.602 44733.85 -1.0592 .51 40007.15 1.5402 42940.70 1.3742 44723.9( 1.072; 45310.01 -9.204 44722.3f 1.0633 .52 400 41. SI 1.5388 42964.37 1.3720 44735.71 1.067o 45309.85 9.4314 44710.7!) 1.0675 .53 40076.42 1.5376 42987.92 1.3699 44747.39 1.0630 45309.58 9.602 44699.11 1.0716 .54 40110.90 1.5362 43011.36 1.3678 44758.95 1.0584 45309.18 9.7076 44687.32 1.0755 .55 40145.27 1.534! 43034.68 1.3655 44770.39 1.0539 45308.67! 9.7993 44675.42 1.0795 .56 40179.5 1.5336 43057.88 1.3634 44781.71 1.0492 45308.04 9.8692 44663.41 1.0835 .57 40213.70 1.5323 43080.97 1.3612 44792.91 1.0445 45307.30 9.9345 44651.29 1.0874 .58 40247.7C 1.5310 43103.94 1.3591 44803.99 1.0399 45306.441 9.9912 44639.0r 1.0913 .59 40281.72 1.5297 43126.80 1.3568 44814.95 1.0351 45305.46 0.0414 4 4626.72 1.0948 .60 40315.58 1.5282 43149.5 4 1.3545 44825.79 1.0302 45304.36 0.0864 44614.28 1.0990 .61 40349.33 1.5268 43172.16 1.3522 44836.51 1.0253 45303.14 0.1239 44601.72 1.1025 .62 40382.97 1.5255 43194.66 1.3500 44847.11 1.0203 45301.81 0.1614 44589.06 1.10661 .63 40416.51 1.5241 43217.05 1.3479 4 4857.59 1.0,149 45300.36i 0.1959 44576.28 1.1100 .64 40449.94 1.5228 43239.33 1.3456 44867.94 1.0103 45298.79 0.2279 44563.40 1.1133 .65 40483.27 1.5214 43261.49 1.3430 44878.18 1.0051 45297.10 0.2553 44550.42 1.1173 .66 40516.49 1.5201 43283.52 1.3408 44888.30 0.999C 45295.30 0.2833 44537.32 1.1206 .67 40549.61 1.5186 43305.44 1.3387 44898.29 0.9948 45293.38 0.3096 44524.12 1.1245 .68 40582.62 1.5173 43327.25 1.3363 44908.17 0.9890 45291.34 0.3324 44510.80 1.1277 .69 40615.53 1.5159 43348.94 1.3338 44917.92 0.9841 45289.19 0.3560 44497.38 1.1309 .70 40648.33 1.5145 43370.51 1.3314 44927.56 0.9786 45286.92 0.3766 44483.86 1.1348 .71 40681.03 1.5131 43391.96 1.3292 44937.08 0.9727 45284.54 0.3979 44470.22 1.1380 .72 40713.62 1.5116 43413.30 1.3267 1 49 46.47 0.9675 45282.041 0.4183 44456.48 1.1415 .73 40746. 10 1.5101 43434.52 1.3243 44955.75 0.9614 45279.42 0.4378 44442.63 1.1449 .74 40778.47 1.5088 43455.62 1.3220 44964.90 0.9562 45276.68 0.4548 44428.67 1.1479 .75 40810.74 1.5073 43476.61 1.3196 44973.94 0.9499 45273.83 0.4728 44414.61 1.1513 .76 40842.90 1.5058 43497.48 1.3171 44982.85 0.9445 45270.86 0.4886 44400.44 1.1547 .77 40874.95 1.5045 43518.23 1.3145 44991.65 0.9380 45267.78! 0.5051 44386.16 1.1580 .78 40906.90 1.5030 43538.86 1.3120 45000.32 0.9325 45264.58 0.5211 44371.77 1.1611 .79 40938.74 1.5015 43559.37 1.3096 45008.88 0.9258 45261.26 0.5353 44357.28 1.1644 .80 40970,47 1.5001 43579.77 1.3071 45017.31 0.9196 45257.83 0.5502 44342.68 1.1676 .81 41002.10 1.4984 43600.05 1.3045 45025.62 0.9133 45254.28 0.5647 44327.97 1.1706 .82 41033.61 1,4970 43620.21 1.3018 45033.81 0.9069 45250.6 Ij 0.5775 44313.16 1.1738 .83 41065.02 1.4955 43640.25 1.2993 45041.88 0.9009 45246.83 0.5899 44298.24 1.1767 .84 41096.32 1.1910 43660.17 1.2969 45049.84 0.8938 45242.94 0.6042 44283.22 1.1798 .85 41127.51 1.4925 43679.98 1.2943 45057.67 0.8871 45238.92 0.6160 44268.09 1.1826 .86 41158.59 1.4911 43699.67 1.2916 45065.38 0.8802 45234.79 0.6274 44252.86 1.1858 .87 41189.57 1.489f> 43719.24 1.2889 45072.97 0.8733 45230.55 0.6395 44237.52 1.1889 .88 41220.44 1.4880 43738.69 1.2863 45080. 1 4 0.8663 45226.19 0.6503 44222.07 1.1920 .89 41251.20 1.4864 43758.02 1.2837 45087.79 0.8591 45221.72 0.6618 44206.52 1.1948 .90 41281.85 1.4849 43777.24 1.2810 45095.02 0.8525 45217.13 0.6730 44190.86 1.1976 .91 41312.3!) 1.4833 43796.34 1.2784 45102.14| 0.8151 45212.42 0.6830 44475.10 1.2007 .92 41342.82 1.4817 43815.32 1.2756 45 40!). 14 0.8370 45207.60 0.6937 44159.23 1.2034 .93 41373.14 1.4801 43834.18 1.2727 15116.01 0.8287 15-202.66 0.7033 44143.26 1.2062 .94 41403.35 1.4787 43852.92 1.2700 45122.75 0.8215 45197.61! 0.7126 44127.18 1.2089 .95 41433.46 1,4770 43871.54 1.2674 45129.38 0.8135 4519-2.15 0.7226 44111.00 1.2119 .96 41463.45 1.4751 43890.05 1.2644 15135.89 0.8055 45187.17 0.7324 44094.71 1.2146 .97 41 193.33 1.4740 4390S. t:j 1.2617 45142.28 0.7973 45181.77 0.7412 44078.32 1.2175 .98 41523.11 1.4722 43926.70 1.2589 45148.55i 0.7889 45176.'26: 0.7497 44061.82 1.2201 .!)!) 41552.77 1.1707 43944.85 1.2560 45151.70 0.7803 45170.64 0.75S!) 44045.22 1.2227 1.00 41582.33 +1.4689 43962.88 +1.2531 45160.73 +0.7716 45164.90-0.7679 44028.52 -1.2256 87 TABLE VI. ARGUMENT 1. Equation = 22655".226 + 22639 '.2 sin. x + 769".5 sin. 2x -f 36".7 sin. 3* -f 2".0 sin. 4* -f 0".l sin. 5*. Period, 27.55455245 days. Days. 1.7 16 17 IS 19 1 '. . !!|>:i; - ufa k'. Equation. Log. Dif. !' I'Mlinn. Log. Dif. Equation. Log. Dif. Equation. Log. mr. Equation. Log. Dif. .00 44028.52 -1.2256 41855.39 -1.4235 38787.01 -1.5398 34991.50 -1.6129 80664.69 -1.6575 .01 11011.71 1.2282 11S28.87 1.4251 38752.35 1.5106 34950. 11) 1.6135 30609.25 1.6579 .02 aew.ao 1.230!) 41802.26 1.1264 38717.63 1.5110 3 11)09.42 1.6140 30563.77 1.6581 .03 13!.77.78 1.2335 41775.57 1.4878 38682. N3 1.5425 3 1868.30 1.6145 30518.26 1.6585 .04 43960.66 1.2360 41748.79 1.4292 38647.96 1.5-133 34827.13 1.6151 30472.71 1.6588 .05 131! 13.44 1.2385 41721.92 1.4308 38613.02 1.5443 34785.91 1.6157 30427.13 1.6591 .06 48996.12 1.2412 1161)4.96 1.1322 38578.00 1.5452 34744.63 1.6163 30381.52 1.6594 .07 18908.69 1.2437 41667.91 1.13.% 38542.91 1.5159 84703.80 1.6168 30335.N8 1.6598 .08 43891.16 1.2462 116*0.77 1.1351 38507.76 1.5-469 31661.91 1.6174 30290.20 1.6600 .09 43873.53 1.2490 41613.54 1.4364 38472.53 1.5178 34620.48 1.6179 30244.49 1.6603 .10 43855.79 1.2514 1 1 586.23 1.4378 38437.23 t.5486 34578.99 1.6184 30198.75 1.6607 .11 4888736 1.2541 41558.83 1.4393 38401.85 1.5495 34537.45 1.6189 30152.97 1.6610 .12 43820.00 1.2565 11581.33 1.4406 38366.41 1.5503 34495.86 1.6196 30107.16 1.6613 .13 48801.95 1.2589 41503.75 1.4418 38330.90 1.5512 34454.21 1.6201 30061.32 1.6616 .14 43783.80 1.2613 41476.09 1.4433 38295.32 1.5521 34412.51 1.6206 30015.45 1.6618 .15 43765.55 1.2637 41448.34 1.4446 38259.66 1.5531 34370.76 1.6212 29969.55 1.6621 .16 13747.20 1.2660 41420.50 1.4461 38223.93 1.5538 31328.96 1.6217 21)1123.62 1.6625 .17 43728.75 1.2686 11392.57 1.1174 38188.14 1.5548 34287.11 1.6222 29877.65 1.6628 .18 13710.19 1.2709 41864.56 1.4487 38152.27 1.5555 34245.21 1.6227 29831.65 1.6631 .19 43691.53 1.2732 41336.46 1.4501 38116.34 1.5563 34203.26 1.6232 29785.62 1.6634 .20 43672.77 1.2756 41308.27 1.4514 38080.34 1.5571 34161.26 1.6238 29731 >.56 1.6637 51 43653.91 1.2779 41279.99 1.4527 38041.27 1.5581 34119.20 1.6243 21)61)3,17 1.6639 .22 43fi34.9.r> 1.2801 41251.63 1.4541 38008.12 1.5588 31077.10 1.6848 29647.35 1.6642 53 43615.8!) 1.2823 41 223. 18 1.4553 37971.91 1.5595 84034.96 1.625:! 29601.20 1.6645 54 43596.73 1.2849 41194.65 1.4567 37935.64 1.5605 33992.75 1.6259 29555.02 1.6647 .25 13577.46 1.2872 41166.08 1.1581 37899.29 1.5613 33950.49 1.6263 29508.81 1.6650 .26 i:i.-)58.09 1.2894 41137.32 1.1593 37862.87 1.5622 38908.19 1.6268 29462.57 1.6653 .27 43538.62 1.2913 41108.38 1.4605 87826.88 1.5629 33865.8 1 1.6274 29416.30 1.6656 .28 135 19.06 1.2939 41079.66 1.1618 87789.88 1.5637 33823.44 1.6279 29370.00 1.6658 .29 •13499.39 1.2961 41050.70 1.4631 37753.21 1.5645 33780.99 1.6284 29323.68 1.6661 .30 43479.62 1.2980 41021.65 1.4643 37716.53 1.5651 33738.49 1.6289 29277.33 1.6664 Al 48469.76 1.3001 409!)2.52 1.4657 37679.77 1.5660 33695.94 1.6293 29230.94 1.6666 .32 4M89.79 1.3025 40968.30 l.ltiii!) 37642.95 1.5669 88658.86 1.6299 29184.53 1.6669 .33 43419.72 1.3017 40934.00 1.4682 37606.06 1.5677 33610.71 1 .6303 2913N.O!) 1.6672 .34 •3399.55 1.3067 40904.61 1.4693 37569.10 1.5684 33568.02 1.6308 29091.62 1.6675 JB 43379.29 1.3090 40875.14 1.4706 37532.08 1.6692 33525.28 1.6312 29045.12 1.6677 .36 133.Vi.D2 1.3111 40845.59 1.4719 37494.99 l.r.701 88482.60 1.6318 28998.60 1.6680 .37 13338.45 1.3131 40815.95 1.1731 87457.88 1.5707 331311. 6( 1.6321 28052.05 1.6682 .38 4*117.89 1.3152 10786.23 1.4742 87420.61 1.5715 88896.79 1 .6328 28905.47 1.6684 .39 13297.23 1.3173 10756.43 1.4756 37383.32 1.5723 33353.86 1 .6332 28N58.87 1.6687 .40 43276.47 1.3196 40726.5 1 1.1767 87845.97 1.5731 33310.89 1.6337 28812.24 1.6689 .41 •13255.60 I.32H 40896.57 1.4780 87806.55 1.5739 33267.87 1.6312 28765. .">!) 1.6691 .42 13231.61 1.3232 (0666.51 1.4792 3727 1 .06 1.5746 88224.84 1.6346 28718.91 1.6694 .13 43213.;')!) 1.32.V> 40636.87 1.4803 3723:!.-) 1 1.5754 33181.69 1.6351 98673.20 1.6697 .44 I818&48 1.3273 40606.lt 1.4814 87196.89 i.:.7(ii 38188.68 1.6355 28625.46 1.6699 .45 13171. 1M 1.3296 10675.86 1.4827 37158.21 1.5768 33095. 33 1.6360 28578.70 1.6700 .46 43I49.N2 1.3311 405 1.V U I.|s3s 37120.17 1.577.") 33052. ON 1.6361 38581.92 1.6703 .47 13I2*.37 1.3332 10515.00 1.4850 87082.67 1.5783 88008.79 1.6369 28485. 1 1 1.6706 .48 I3106.N3 1.3355 IOIM.I." 1.4861 3701 l>0 1.5791 82965.4E 1.6373 28488.27 1.6708 M 131 IX"). is 1.3373 40458.82 1.4872 37006.861 1.5798 .•{21)22.07 1.637N 2N391.41 1.6709 .50 13063.11 -1.3393 10123.11 -1.4886 36968.N6 -1.5806 32878.64 -1.6382 28344.53 -1.6713 TABLE VI. ARGUMENT 1. Eq nation = 22355".2-'3 -{- 22639' .2 sin. x -f 769".5 sin. 2x -{- 36".7 sin. 3x -f 2".0 sin. 4* -f 0".l sin. 5x. Period, 27.55455245 days. Da i-s. 1 3 1 6 1 7 1 8 1 9 Decimals of a Day. Filiation. Log. Dif. Equation. Log. Dif. Equation. !,.,«. I) if. Equation. Lug. Dif. Equation. Log. Dif. .50 430(53.44 -1.3393 40423.11 —1.4886 36968.86 -1.5806 32878.64 —1.6382 28344.53 -1.6713 .51 43041.60 1.3412 40392.31 1.4897 36930.79 1.5812 32835.17 1.6387 28297.62 1.6715 .52 43019.66 1.3430 4036 1 .43 1.4909 36892.66 1.5819 32791.65 1.6391 28250.69 1.6718 .53 42997.63 1.3450 403 0.47 1.4920 36854.47 1.5827 32748.09 1.6396 28203.73 1.6719 .54 42975.50 1.3470 40299.43 1.4931 36816.22 1.5834 32704.48 1.6400 28156.75 1.6721 .55 42953.27 1.3487 40268.31 1.4942 36777.90 1.5841 32660.83 1.6404 28109.75 1.6724 .56 42930.95 1.3506 40237.11 1.4953 36739.52 1.5848 32617.14 1.6408 28062.72 1.6725 .57 42908.53 1.3526 40205.83 1.4963 36701.08 1.5856 32573.41 1.6413 28015.67 1.6727 .58 42886.01 1.3543 40174.47 1.4975 36662.57 1.5863 32529.63 1.6417 27968.60 1.6729 .59 42863.40 1.3560 40143.03 1.4985 36624.00 1.5869 32485.81 1.6421 27921.51 1.6732 .60 42840.70 1.3581 40111.51 1.4997 36585.37 1.5876 32441.95 1.6426 27874.39 1.6734 .61 42817.89 1.3598 40079.'91 1.5008 36546.68 1.5883 32398.04 1.6430 27827.25 1.6735 .62 42794.99 1.3615 40048.23 1.5019 36507.93 1.5889 32354.09 1.6434 27780.09 1.6738 .63 42772.00 1.3634 40016.47 1.5030 36469.12 1.5897 32310.10 1.6438 27732.90 1.6740 .64 42748.91 1.3653 39984.63 1.5041 36430.24 1.5904 32266.07 1.6442 27685.69 1.6742 .65 42725.72 1.3670 39952.71 1.5051 36391.30 1.5911 32221.99 1.6446 27638.46 1.6744 .66 42702.44 1.3689 39920.71 1.5062 36352.30 1.5918 32177.88 1.6450 27591.21 1.6745 .67 42679.06 1.3705 39888.63 1.5073 36313.24 1.5924 32133.72 1.6454 27543.94 1.6747 .68 42655.59 1.3722 39856.47 1.5083 36274.12 1.5931 32089.52 1.6458 27496.65 1.6750 .69 42632.03 1.3740 39824.24 1.5093 36234.94 1.5937 32045.28 1.6462 27449.34 1.6752 .70 42608.37 1.3758 39791.93 1.5104 36195.70 1.5944 32001.00 1.6466 27402.01 1.6754 .71 42584.61 1.3775 39759.54 1.5114 36156.40 1.5951 31956.68 1.6470 27354.65 1.6756 .72 42560.76 1.3791 39727.07 1.5126 36117.04 1.5956 31912.32 1.6474 27307.27 1.6757 .73 42536.82 1.3807 39694.52 1.5135 36077.63 1.5964 31867.92 1.6478 27259.88 1.6759 .74 42512.79 1.3825 39661.90 1.5145 36038.15 1.5970 31823.48 1.6482 27212,47 1.6761 .75 42488.66 1.3843 39629.20 1.5156 35998.61 1.5976 31779.00 1.6486 27165.04 1.6763 .76 42464.43 1.3860 39596.42 1.5167 35959.02 1.5984 31734.48 1.6490 27117.58 1.6764 .77 42440.11 1.3S7G 39563.56 1.5176 35919.36 1.5990 31689.92 1.6493 27070.11 1.6766 .78 42415.70 1.3892 39530.63 .5186 35879.64 1.5996 31645.32 1.6497 27022.62 1.6768 .79 42391.20 1.3908 39497.62 .5197 35839.87 1.6002 31600.68 1.6500 26975.11 1.6770 .80 42366.61 1.3925 39464.53 .5206 35800.04 1.6009 31556.01 1.6504 26927.58 1.6771 .81 42341.92 1.3943 3! 143 1.37 .5216 35760.15 1.6015 31511.30 1.6508 26880.04 1.6773 .82 42317.13 1.3957 39398.13 .5225 35720.20 1.6021 31466.55 1.6512 26832.47 1.6775 .83 42292.26 1.3974 39364.82 1.5236 35680.20 1.6027 31421.76 1.6516 26784.89 1.6776 .84 42267.29 1.3989 39331.43 1.5246 35640.14 1.6033 31376.93 1.6520 26737.29 1.6777 .85 42242.23 1,4006 39297.96 1.5255 35600.02 1.6040 31332.06 1.6522 26689.68 1.6780 .86 42217.08 1.4021 30261.42 1.5264 35559.84 1.6045 31287.16 1.6526 26642.04 1.6781 . .87 42191.84 1.4037 39230.81 1.5275 35519.61 1.6052 31242.22 1.6530 26594.39 1.6782 .88 42166.51 1.4053 39197.12 1.5285 35479.32 1.6057 31197.24 1.6534 26546.72 1.6783 .89 42141.08 1.4068 39163.35 1.5294 35438.98 1.6064 31152.22 1.6537 26499.01 1.6785 .90 42115.56 1.4084 39129.51 1.5305 35398.58 1.6070 31107.17 1.6511 26451.34 1.6787 .91 42089.95 1.4099 39095.59 1.5314 35358.12 1.6077 31062.08 1.6544 26403.62 1.6789 .92 42064.25 1.4114 39061.60 1.5324 35317.60 1.6083 31016.96 1.6548 26355.88 ].(;?;;() .93 42038.46 1,4130 39027.53 1.5333 35277.03 1.6087 30971.80 1.6551 26308.13 1.6791 .94 42012.58 1.4145 38993.39 1.5341 35236.41 1.6094 30926.60 1.6554 26260.37 1.6792 .95 41986.61 1.4160 38959.18 1.5351 35195.73 1.6100 30881.37 1.6558 26212.59 1.6794 .96 41960.55 1.4176 3*924.89 1.5361 35154.99 1.6106 30836.10 1.6561 26164.79 1.6795 .97 41934.39 1,4191 38890.53 1.5370 35114.20 1.6112 30790.80 1.6565 26116.98 1.6796 .98 41908.14 1.4205 38856.09 1.5379 35073.35 1.6117 30745,46 1.6568 26069.16 1.6798 .99 41881.81 1.4219 38821.59 1.5388 35032.45 1.6122 30700.09 1.6571 26021.32 1.6799 1.00 41855.39 -1.4235 38787.01 -1.5398 34991.50 -1.6129 30654.69 -1.6575 25973.47 -1.6800 89 TABLE VI. ARGUMENT 1. Equation = 22655".226 -f 22639".2 sin. x -f 769".5 sin. 2* + 36".7 sin. 3z + 2' .0 sin. 4x -f 0".l sin. Period, 27.55455245 days. Days. 3*5 31 33 33 34 I)e« inuls of a Day. Equation. Log. Pit Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. .00 25973.47 -1.6800 21150.89 -1.6834 16392.29 -1.6682 11901.99 -1.6321 7879".71 -1.5705 .01 25925.60 1.6801 21102.64 1.6834 16345.72 1.667!) 11859.12 1.6316 7842.51 1.5698 .02 25877.72 1.6803 21054.40 1.6833 16299.18 1.6675 11816.30 1.6312 7805.37 1.5690 .03 25829.82 1.6804 21006.17 1.6832 16252.67 1.6673 1 1773.53 1.6307 7768.30 1.5682 .04 25781.91 1.6805 20957.95 1.6832 16206.18 1.6671 11730.80 1.6301 7731.30 1.5676 .05 25733.99 1.6806 20909.73 1.6832 16159.72 1.6669 11688.13 1.6297 7694.36 1.5666 .06 25686.06 1.6807 20861.51 1.6830 16113.28 1.6666 11646.50 1.6292 7657.49 1.5659 .07 25638.11 1.6808 20813.31 1.6829 16066.87 1.6663 11602.92 1.6287 7620.68 1.5652 .08 25590.15 1.6810 20765.12 1.6828 16020.49 1.6660 11560.39 1.6283 7583.il 1 1.5643 .09 25542.18 1.6812 20716.94 1.6828 15974.15 1.6658 11517.90 1.6277 7547.27 1.5635 .10 25494.19 1.6813 20668.76 1.6827 15927.83 1.6654 11475.47 1.6271 7510.67 1.5627 .11 25446.19 1.6813 20620.59 1.6826 15881.54 1.6652 11433.09 1.6266 7474.14 1.5619 .12 25398.19 1.6814 20572.43 1.6825 15835.28 1.6650 11390.76 1.6261 7437.67 1.5611 .13 25350.17 1.6815 20524.28 1.6825 15789.04 1.6646 11348.48 1.6257 7401.27 1.5602 .14 25302.14 1.6815 20476.14 1.6825 15742.84 1.6644 11306.24 1.6252 7364.95 1.5594 .15 25254.09 1.6816 20428.00 1.6824 15696.67 1.6641 11264.05 1.6247 7328.69 1.5586 .16 25206.04 1.6817 20379.87 1.6823 15650.53 1.6638 11221.91 1.6241 7292.50 1.5579 .17 25157.97 1.6818 20331.75 1.6821 15604.42 1.6635 11179.82 1.6235 7256.37 1.5570 .18 25109.90 1.6819 20283.65 1.6820 15558.34 1.6633 11137.79 1.6231 7220.31 1.5561 .19 25061.81 1.6820 20235.56 1.6819 15512.29 1.6630 1 1095.80 1.6226 7184.33 1.5552 .20 25013.71 1.6822 20187.48 1.6819 15466.27 1.6627 11053.86 1.6221 7148.42 1.5545 .21 24965.60 1.6822 20139.40 1.6817 15120.28 1.6624 11011.97 1.6216 7112.57 1.5537 .22 24917.48 1.6823 20091.34 1.6816 15374.32 1.6620 10970.13 1.6210 7076.79 1.5628 .23 24869.36 1.6823 20013.29 1.6816 15328.40 1.6618 10928.34 1.6204 7041.08 1.5518 .24 24821.22 1.6824 19995.25 1.6815 15282.51 1.6615 10886.61 1.6199 7005.45 1.5509 .25 24773.07 1.6825 19947.22 1.6814 15236.65 1.6612 10844.93 1.6194 6969.89 1.5502 .26 24724.92 1.6825 19899.20 1.6813 15190.82 1.6609 10803.30 1.6188 6934.39 1.5492 .27 24676.75 1.6826 19851.19 1.6812 15145.02 1.6606 10761.72 1.6183 6898.97 1.5484 .28 24628.58 1.6827 19803.19 1.6811 15099.25 1.6602 10720.19 1.6178 6863.62 1.5475 .29 24580.40 1.6828 19755.21 1.6810 15053.52 U6598 10678.71 1.6173 6828 34 1.5466 .30 24532.21 1.6829 19707.24 1.6809 15007.82 1.6597 10637.28 1.6167 6793.13 1.5458 .31 24484.02 1.6830 19659.28 1.6807 14962.15 1.6593 10595.91 1.6162 6757.99 1.5450 .32 24435.81 1.6831 19611.31 1.6806 14916.52 1.6591 10554.59 1.6155 6722.92 1.5441 .33 24387.60 1.6832 19563.41 1.6805 14870.91 1.6587 10513.33 1.6150 6687.92 1.5431 .34 24339.38 1.6833 19515.49 1.6803 14825.34 1.6583 10472.12 1.6144 6653.00 1.5422 .35 24291.15 1.6833 19467.59 1.6802 14779.81 1.6580 10130.96 1.6139 6618.15 1.5413 .30 24242.92 1.6834 19419.70 1.6801 14734.31 1.6578 10389.85 1.6133 6583.37 1.5404 .37 24194.68 1.6835 19371.82 1.6801 14688.84 1.6575 10318.80 1.6127 6548.66 1.5395 .38 24146.43 1.6835 19838.06 1.6799 14643.40 1.6570 10307.81 1.6121 6514.03 1.5386 .39, 24098.18 1.6836 19276.10 1.6797 14598.01 1.6568 10266.87 1.6117 6479.47 1.5377 .40 24049.92 1.6836 19228.27 1.6796 14552.64 1.6564 10225.98 1.6110 6444.98 1.5367 .41 24001.65 1.6836 19180.45 1.6795 14507.31 1.6560 10185.15 1.6105 6410.57 1 .5358 .42 23953.38 1.6837 19132.64 1.6793 14462.02 1.6557 10144.37 1.6098 6376.23 1 .53 18 .43 23905.10 1.6837 19084.85 1.6791 14416.76 1.6553 10103.65 1.6093 6311.97 1 .5339 .44 23856.82 1.6838 19037.08 1.6790 14371.54 1.6551 10062.98 1.6086 6807.78 1.5331 .15 23.s08.53 1.6838 18989.32 1.6789 14326.35 1.6547 10022.37 1.6080 6273.66 1.5321 .Hi 23760.2 » 1.6839 18941.57 1.6788 14281.20 1.6543 9981.82 1.6075 6389.61 1.5311 .47 23711.9-1 I.(i.s3!l lsy»3.Nl 1.6786 14236.08 1.6540 91)11.32 1.6068 6205.61 1 .5302 .Is 23663.64 UM<> l^.sjd.13 1.6784 14191.00 1.6536 9900.88 1.6063 6171.74 1.5292 .49 23615.31 l.dsio 1H7!IS.I1 1.6783 14145.96 1.6532 0860*49 1.6056 6137.92 1.5281 .50 23.J67.03- 1.6841 1M750.76 -1.6781 14100.96-1.6529 9S20.16 -1.6051 6104.18 -1.5271 'JO TABLE VI. ARGUMENT 1. Equation = 22655".226 -f 22639".2 sin. x + 769".5 sin. 2x + 36".7 sin. 3x -f- 2".0 sin. 4c -f 0".l sin. Period, 27.55453245 days. Days. 2O 21 23 23 24 Decimate of a Da) Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. Equation Log Dif Equaiion. Log. Dif. .50 23567.03 -1.6841 18750.76 -1.6781 14100.96 -1.6529 9820.16 -1.6051 6104.18 -1.5271 .51 23518.71 1.6841 18703.10 1.6781 14055.99 1.6525 9779.88 1.6043 6070.52 1.5263 .52 23470.40 1.6841 18655.45 1.6779 14011.06 1.6522 9739.67 1 .6037 6036.92 1.5254 .53 23422.0* .6842 18607.82 1.6777 13966.17 1.6519 9699.51 1.6031 6003.39 1.5244 .51 23373.75 .6842 18560.21 1.6775 13921.31 1.6515 9659.41 1.6026 5969.94 1.5233 .55 23325.43 .6842 18512.62 1.6774 13876.49 1.6511 9619.36 1.6020 5936.57 1.5223 .50 23277.10 .6842 18465.04 1.6772 13831.71 1.6507 9579.37 1.6013 5903.28 1.5214 .57 23228.76 .6842 18417.48 1.6771 13786.97 1.6504 9539.44 1.6007 5870.06 1.5203 .58 23180.43 1.6843 18369.94 1.6769 13742.26 1.6499 9499.57 1.6000 5836.92 1.5194 .59 23132.09 1.6843 18322.42 1.6767 13697.60 1.6495 9459.76 1.5995 5803.85 1.5184 .60 23083.75 1.6843 18274.92 1.6765 13652.98 1.6493 9420.00 1.5988 5770.86 1.5173 .61 23035.41 1.6843 18227.43 1.6764 13608.39 1.6489 9380.30 1.5981 5737.95 1.5164 .62 22987.07 1.6843 18179.96 1.6762 13563.84 1.6485 9340.66 1.5975 5705.11 15153 .63 22938.73 1.6843 18132.52 1.6761 13519.33 1.6481 9801.08 1.5968 5672.35 1.5143 .64 22890.38 1.6843 18085.09 1.6759 13474.86 1.6476 9261.56 1.5962 5639.67 1.5132 .65 22842.04 1.6843 18037.68 1.6757 13430*.44 .6473 9222.10 1.5955 5607.07 1.5122 .66 22793.69 1.6843 17990.29 1.6754 13386.05 .6469 9182.70 1.5949 5574.55 15112 .67 22745.34 1.6843 17942.93 1.6754 13341.70 .6465 9143.35 1.5943 5542.10 1.5101 .68 22696.99 1.6843 17895.58 1.6752 13297.39 .6461 9104.06 1.5935 5509.73 1.5091 .69 22648.64 1.6843 17848.25 1.6750 13253.12 .6457 9064.84 1.5929 5477.44 1.5080 .70 22600.30 1.6843 17800.94 1.6747 13208.89 .6452 9025.68 1.5923 5445.23 1.5070 .71 22551.95 1.6843 17753.66 1.6745 13164.71 .6448 8986.57 1.5916 5413.09 1.5059 .72 22503.60 1.6843 17706.39 1.6743 13120.57 1.6444 8947.52 1.5909 5381.03 1.5049 .73 22455.26 1.6843 17659.15 1.6742 13076.47 1.6441 8908.53 1.5901 5349.05 1.5038 .74 22406.91 1.6843 17611.92 1.6739 13032.41 1.6437 8869.61 1.5893 5317.15 1.5025 .75 22358.57 1.6843 17564.72 1.6737 12988.39 1.6433 8830.77 1.5887 5285.34 1.5017 .76 22310.22 1.6843 17517.54 1.6736 12944.41 1.6429 8791.98 1.5882 5253.60 1.5005 .77 22261.88 1.6843 17470.38 16733 12900.47 1.6424 8753.24 1.5875 5221.94 1.4994 .78 22213.54 1.6843 17123.25 1.6732 12856.58 1.6420 8714.56 1.5867 5190.36 1.4983 .79 22165.20 1.6843 17376.13 1.6729 12812.73 1.6416 8675.95 1.5860 5158.86 1.4973 .80 22116.86 1.6843 17329.04 1.6726 12768.92 1.6412 8637.40 1.5853 5127.44 1.4961 .81 22068.52 1.6842 17281.98 1.0726 12725.15 1.6407 8598.91 1.5846 5096.10 1.4950 .82 22020.19 1.6842 17234.93 1 6723 12681.43 1.6403 8560.48 1.5839 5064.84 1.4939 .83 21971.86 1.6842 17187.91 1.6721 12637.75 1.6399 8522.12 1.5832 5033.66 1.4926 .84 21923.53 1.6841 17140.91 1.6719 12594.11 1.6394 8483.82 1.5826 5002.57 1.4917 .85 21875.21 1.6841 17093.94 1.6717 12550.52 1.6390 8445.58 1.5817 4971.55 1.4906 .86 21826.89 1.6841 17046.99 1.6715 12506.97 1.6386 8407.41 1.5810 4940.61 1.4895 .87 21778.57 1.6840 17000.06 1.6712 12463.46 1.6381 8369.30 1.5804 4909.75 1.4881 .88 21730.27 1.6840 16953.16 1.6709 12 120.00 1.6376 8331.25 1.5795 4878.98 1.4870 .89 21681.97 1.6840 16906.28 1.6707 12376.59 1.6372 8293.27 1.5788 4848.29 1.4857 .90 21633.66 1.6839 16859.43 1.6705 12333.22 1.6368 8255.35 1.5782 4817.69 1.4847 .91 21585.36 1.6839 16812.60 1.6703 12289.89 1.6364 8217.49 1.5773 4787.16 1.4836 .92 21537.06 1.6839 16765.79 1.6700 12246.60 1.6359 8179.70 1.5765 4756.71 1.4823 .93 21488.77 1.6838 16719.01 1.6698 12203.36 1.6351 8141.98 1.5759 4726.35 1.4811 .94 21440.49 1.6838 16672.26 1.6695 12160.17 1.6349 8104.32 1.5752 4696.07 14800 .95 21392.21 1.6837 16625.54 .6693 12117.03 1.6345 8066.72 1.5743 4665.87 1.4787 .96 21343.93 1.6837 16578.84 .6691 12073.93 1.6341 8029.19 1.5737 4635.76 1.4775 .97 21295.66 1.6836 16532.16 .6689 12030.87 1.6335 7991.72 1.5729 4605.73 1.4764 .98 21247.40 1.6835 16485.51 .6686 1 1987.87 1.6331 7954.32 1.5721 4575.78 1.4752 .99 21199.14 1.6834 16438.89 .6684 11944.91 1.6327 7916.98 1.5713 4545.91 1.4741 1.00 21150.89 -1.6834 16392.29 — .6682 11901.99 -1.6321 7879.71 -1.5705 4516.12 -1.4728 91 TABLE VI. ARGUMENT 1. Equation = 22655".226 -f 22639 '.2 sin. x -f 769".5 sin. 2x -j- 36".7 sin. 3x -f 2".0 sin. 4a> -f- 0".l sin. 5*. Period, 27.55455245 days. Days. 25 96 ar Decimals of a Day. Equation. Log. Dif. Equation. Log. Dif. Equation. Los. Dif. .00 4516.12 -1.4728 1986.96 -1.3126 444.93 -0.9996 .01 4486.42 1.4716 1966.12 1.3104 431.!) t 0.9948 .02 4456.80 1.4702 1945.98 1.3083 425.06 0.9903 .03 4427.27 1.4690 1925.64 1.3062 415.28 0.985 1 .04 4397.82 1.4678 1905.40 1.3038 405.61 0.9800 .05 4368.46 1.4666 1885.27 1.3018 396.06 0.9750 .06 4339.18 1.4652 1805.23 1.2998 886.82 0.9699 .07 4309.99 1.4640 1845.29 1.2976 377.29 0.9647 .08 4280.88 1.4627 1825.45 1.2954 368.07 0.9590 .09 4251.86 1.4615 1805.71 1.2932 358.97 0.9543 .10 4222.92 1.4602 1786.07 1.2909 349.97 0.9-18-1 .11 4194.07 1.4590 1766.53 1.2887 341.09 0.9430 .12 4165.30 1.4576 1747.09 1.2865 332.32 0.9370 .13 4136.62 1.4562 1727.75 1.2842 323.67 0.9320 .14 4108.03 1.4549 1708.51 1.2819 315.12 0.9258 .15 4079.52 1.4536 1689.37 1.2797 306.69 0.9201 .16 4051.10 1.4524 1670.33 1.2772 298.37 0.9138 .17 4022.76 1.4510 1651.40 1.2749 290.17 0.9085 .18 3994.51 1.4498 1632.57 1.2725 282.07 0.9020 .19 3966.34 1.4484 1613.84 1.2702 274.09 0.8960 .20 3938.26 1.4470 1595.21 1.2679 266.22 0.8899 .21 3910.27 1.4456 1576.68 1.2655 258.46 0.8831 .22 3882.36 1.4444 1558.25 1.2630 250.82 0.8768 .23 3854.54 1.4428 1539.93 1.2606 243.29 0.8698 .24 3826.82 1.4415 1521.71 1.2582 235.88 0.8639 .25 3799.18 1.4402 1503.59 1.2558 228.57 0.8567 .26 3771.62 1.4389 1485.57 1.2534 221.38 0.8494 .27 37-4-4.15 1.4373 1467.65 1.2506 214.31 0.8-126 .28 3716.78 1.4360 1449.84 1.2482 207.35 0.8357 .29 3689.49 1.4346 1432.13 1.2457 200.50 0.8287 .30 3662.29 1.4332 1414.52 1.2430 193.76 0.8209 .31 3635.18 1.4319 1397.02 1.2405 187.14 0.8136 .32 3608.15 1.4305 1379.62 1.2380 180.63 0.8055 .33 3581.21 1.4289 1362.32 1.2355 174.24 0.7980 .34 3554.36 1.4273 1345.12 1.2327 167.96 0.7903 .35 3527.61 1.4260 1328.03 1.2302 161.79 0.7818 .36 3500.94 1.4345 1811.04 1.2273 155.74 0.7738 .37 3474.36 L4281 1294.16 1.2248 149.80 0.7649 .38 3447.87 1.4216 1277.38 1.2222 143.98 0.7566 .39 3421.47 1.4202 1260.70 1.2193 138.27 0.7474 .40 3395.16 1.4185 124418 1.2166 132.68 0.7388 .41 3368.94 1.4171 1227.66 1.2138 127.20 0.7292 .42 3342.81 1.4157 1211.30 1.2111 121.84 0.7202 .43 3316.77 1.4142 1195.04 1.2081 116.59 0.7110 .44 3290.82 1.4125 1178.89 1.2054 111.45 0.7007 .45 3264.97 1.4111 1162.84 1.2028 106.43 0.6902 .46 3239.20 1.4095 1146.89 1.1998 101.53 0.6803 .47 3213.52 1.4079 1131.05 1.1967 96.74 0.6702 .48 3187.94 1,4063 1115.32 1.1989 92.06 0.6590 .49 3162.45 1.4048 1099.69 1.1909 87.50 0.6474 .50 3137.05 -1.4038 1084.17 -1.1881 83.06 -0.6355 92 TABLE VI. ARGUMENT 1. Equation = 22655".226 + 22639".2 sin. x + 769".5 sin. 2r + 36".7 sin. Sr + 2".0 sin. 4* -f 0".l sin. 5x. Period, 27.55455245 days. Day s. a B a 6 a 7 Decimals ot a Day. Equation. Log. Dif. Equation. Log. Dif. Equation. Log. Dif. .50 3137.05 —1.4033 1084.17 -1.1881 83.06 -0.6355 .51 3111.74 1.4017 1068.75 1.1850 78.74 0.6243 .52 3086.52 1.4002 1053.44 1.1821 74.53 0.6128 .53 3061.3!) 1.3984 1038.23 1.1790 70.43 0.5999 .54 3036.36 1.3969 1023.13 1.1759 66.45 0.5877 .55 3011.42 1.3954 1008.14 1.1730 62.58 0.5740 .56 2986.57 1.3938 993.25 1.1697 58.83 0.5599 .57 2961.81 1.3920 978.47 1.1668 55.20 0.5465 .58 2937.15 1.3904 963.79 1.1635 51.68 0.5315 .59 2912.58 1.3888 949.22 1.1602 48.28 0.5159 .60 2888.10 1.3872 934.76 1.1568 45.00 0.5011 .61 2863.71 1.3854 920.41 1.1538 41.83 0.4843 .62 2839.42 1.3838 906.16 1.1507 38.78 0.4683 .63 2815.22 1.3820 892.01 1.1473 35.84 0.4502 .64 2791.12 1.3804 877.97 1.1436 33.02 0.4314 .65 2767.11 1.3788 864.05 1.1405 30.32 0.4133 .66 2743.19 1.3770 850.23 1.1373 27.73 0.3927 .67 2719.37 1.3753 836.51 1.1335 25.26 0.3711 .68 2695.64 1.3735 822.91 1.1303 22.91 0.3502 .69 2672.01 1.3718 809.41 1.1268 20.67 0.3263 .70 2648.47 1.3701 796.02 1.1232 18.55 0.3032 .71 2625.02 1.3683 782.74 1.1199 16.54 0.2765 .72 2601.67 1.3666 769.56 .1162 14.65 0.2480 .73 2578.41 1.3647 756.49 .1127 12.88 0.2175 1 .74 2555.25 1.3630 743.53 .1089 11.23 0.1847 .75 2532.18 1.3612 730.68 .1052 9.70 0.1523 .76 2509.21 1.3593 717.94 .1014 8.28 0.1139 .77 2486.34 1.3575 705.31 1.0976 6.98 0.0719 .78 2463.56 1.3556 692.79 1.0941 5.80 0.0294 .79 2440.88 1.3537 680.37 1.0902 4.73 9.9777 .80 2418.30 1.3519 668.06 1.0864 3.78 9.9191 .81 2395.81 1.3502 655.86 1.0824 2.95 9.8573 .82 2373.41 1.3483 643.77 1.0785 2.23 9.7782 .83 2351.11 1.3464 631.79 1.0745 1.63 9.6812 .84 2328.91 1.3444 619.92 1.0705 1.15 9.5563 .85 2306.81 1.3426 608.16 1.0664 0.79 9.3802 .86 2284.80 1.3406 596.51 1.0626 0.55 9.1139 .87 2262.89 1.3387 584.96 1.0580 0.42 -8.0000 .88 2241.08 1.3367 573.53 1.0539 0.41 +9.0414 .89 2219.37 1.3349 562.21 1.0496 0.52 9.3617 .90 2197.75 1.3328 551.00 1.0457 0.75 9.5441 .91 2176.23 1.3308 539.89 1.0411 1.10 9.6721 .92 2154.81 1.3290 528.90 1.0367 1.57 9.7634 .93 2133.48 1.3269 518.02 1.0323 2.15 9.8451 .94 2112.25 1.3249 507.25 1.0282 2.85 9.9138 .95 2091.12 1.3228 496.58 1.0233 3.67 9.9731 .96 2070.09 1.3207 486.03 1.0187 4.61 0.0253 .97 2049.16 1.3187 475.59 1.0140 5.67 0.0682 .98 2028.33 1.3166 465.26 1.0094 6.84 0.1106 .99 2007.60 1.3147 455.04 1.0047 8.13 0.1492 1.00 1986.96 —1.3126 444.93 -0.9996 9.54 +0.1818 93 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f 4586".9 sin. (2t — x) -+- 31".2 sin. (4/ — 2jr). Period, 31.81193574 days. Days. O 1 9 3 4 IV,- 111:1 of a Day. Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. Equation. Bif. .00 2.45 —.28 62.81 +1.51 3<><).3( +3.25 7()7.0( +4.88 1267.93 +6.32 .01 2.17 .27 64.32 1.52 303.61 tan 711.94 4.89 1274.2E 6.33 .02 1.90 .25 65.84 1.54 306.88 3.28 716.8: 4.91 1280.58 6.35 .03 1.65 .23 67.38 1.56 310.16 3.30 721.74 4.92 128(>.»: (i.3(i .04 1.42 .21 68.94 1.58 313.46 3.32 726.66 4.94 1293.2! 6.37 .05 1.21 .19 70.52 1.59 316.78 3.33 731.60 4.95 1299.6C 6.38 .06 1.02 .17 72.11 1.62 320.11 3.35 736.5f 4.97 1806.04 6.40 .07 0.85 .16 73.73 1.63 323.46 8J7 741.52 4.98 1312.4^4 (i. J-2 .08 0.69 .14 75.36 1.65 326.83 3.38 746.50 5.00 1318.8C 6.42 .09 0.55 .12 77.01 1.66 330.21 3.40 751.50 5.02 1325.28 6.44 .10 0.43 .10 78.67 1.68 333.61 3.42 756.5-2 5.03 1331.72 6.45 .11 0.33 .09 80.35 1.70 337.03 3.44 761.55 5.05 1338.17 6.46 .12 0.24 .07 82.05 1.72 340.47 3.45 766.60 5.06 1S44.63 li.ls .13 0.17 .05 83.77 1.74 343.92 3.47 771.66 5.07 1351.11 6.49 .14 0.12 .03 85.51 1.75 347.39 3.48 776.73 5.10 1357.60 6.50 .15 0.09 -.01 87.26 1.78 350.87 3.51 781.83 5.10 1364.10 6.52 .16 0.08 .00 89.04 1.79 351.38 3.51 786.93 5.12 1870.62 6.53 .17 0.08 +.02 90.83 1.80 357.89 3.54 792.05 5.14 1377.15 6.55 .18 0.10 .04 92.63 1.83 361.43 3.55 797.19 5.15 1383.70 <;.;>.-> .19 0.14 .06 94.46 1.84 364.98 3.57 802.34 5.16 1390.25 6.56 .20 0.20 .07 96.30 1.86 368.55 3.58 807.50 5.19 1396.81 <;.r.<> .21 0.27 .09 98.16 1.88 372.13 3.61 812.69 5.19 1403.40 6.59 .22 0.36 .12 100.04 1.90 375.74 3.6-2 817.88 5.21 1409.99 6.61 .23 0.48 .13 101.94 1.91 879.86 3.64 823.0!) 5.23 1416.60 6.61 .24 0.61 .14 103.85 1.93 383.00 3.65 828.32 5.24 1423.21 6.63 .25 0.75 .17 105.78 1.95 386.65 3.67 833.56 5.26 1429.84 6.65 .26 0.92 .18 107.73 1.97 390.32 3.6!) 888.82 5.27 1436.49 6.66 .27 1.10 .20 109.70 1.98 394.01 3.70 Ml. Oil 5.29 1443.15 6.67 .28 1.30 .22 111.68 2.00 397.71 3.72 849.38 5.30 1449.82 (i.li!) .29 1.52 .24 113.68 2.02 401.43 3.73 854.68 5.32 1456.51 6.69 .30 1.76 .25 115.70 2.04 405.16 3.76 860.00 5.33 1463.20 6.70 .31 2.01 .27 117.74 2.05 408.92 3.77 N(;r,.:i:i 5.3 1 1469.90 6.72 .3-2 2.28 .30 119.79 2.07 412.69 8.78 870.67 5.36 147(i.(i-J 6.71 .33 2.58 .30 121.86 2.09 416.47 3.80 876.03 5.38 148.'(.:i(; 6.74 .3i 2.88 .33 123.95 2.11 420.27 3.82 881.41 ;».:!!» 1490.10 6.76 .35 3.21 .31 126.06 2.12 424.09 3.84 886.80 5.41 1496.86 6.77 .36 3.55 .36 IviS.lN '2.11 4-27.!C{ 8.85 8!f2.-2 1 5. \-l 1503.63 6.78 sn 3.91 .39 130.32 ;>.!<; 481.78 :i,s7 897.63 .-.. 1:1 1510.41 6.79 .38 4.80 .39 182.48 2.18 485.65 3,88 903.06 5.45 1517.20 6.81 .39 4.69 .42 134.66 2.20 189.58 :t.!»o 908.51 :,. 17 1521.01 6.81 .40 5.11 .1:5 136.86 2.21 44348 3.92 913.98 r.,47 1580.82 6.83 .41 :>.:> i .46 l:(!l.()7 .'.•.':! H7.3.-I 3.!t3 9J9.46 6.50 ir.:i7.(i.". 6.85 m 6.00 .17 141.30 •j.-r, 151.28 :{.!»:, !l'J l.!»r> 6.51 1544.50 6.85 .43 6,17 .is i i :»..->.-> -,'.-,!<; 165.28 a97 930. t(i 5.62 1661.85 6.87 .11 <;.!>:. ..-)! ll.Vsl v!.v!!i 159.20 :!.!ts 835.98 5.5 1 1658.22 6.88 .i:> 7.111 .r>-j 118.10 2.30 n;:(. I* !.()(> !U 1 .~f> 6.66 ir.C5.io O.ilO .46 7.IIN .:. i 150.40 •->.:(•,! 467.18 4.0-2 947.07 :».:.7 1572.00 6.90 .17 •v.VJ .;,li L53.73 2.3:! 171. "JO 4.08 !).-ivi.(i 1 5.68 1678.90 6.!)2 .|N 9.08 ,:>s l .->:>.():. 2.85 175.28 1.05 958.22 5.60 1585.82 6.93 M !l.6(i .60 1.-.7.K) 2.37 I7!).-JN 4.07 963.82 5.6 1 1692.75 6.93 .50 10.-2G -Mil ir.ii.77 +2.3!) 188.35 +4.08 969.43 +5.62 1699^8 +6.96 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f 4586".9 sin. (2< — x) + 31".2 sin. (4t — 2x}. Period, 31.81193574 days. Days. O 1 2 3 4 Decimals of a Diiy. Equation. Dif. Equation. Dif. Equation. .Dif. Equation. Dif. Equation. Dif. .50 10.26 + .61 159.77 +2.39 483.35 +4.08 969*.43 +5.62 1599.68 +6.96 .51 10.87 .63 162.16 2.41 487.43 4.10 975.05 5.64 1606.64 6.96 .52 11.50 .65 164.57 2.42 491.53 4.11 980.69 5.65 1613.60 6.98 .53 12.15 .67 166.99 2.44 495.64 4.13 986.34 5.67 1620.58 6.98 .54 12.82 .68 169.43 2.46 499.77 4.15 992.01 5.68 1627.56 7.00 .55 13.50 .70 171.89 2.47 503.92 4.16 997.69 5.70 1634.56 7.02 .56 14.20 .72 174.36 2.49 508.08 4.18 1003.39 5.71 1641.58 7.02 .57 14.92 .74 176.85 2.51 512.26 4.19 1009.10 5.73 1648.60 7.04 .58 15.66 .76 179.36 2.53 516.45 4.21 1014.83 5.74 1655.64 7.04 .59 16.42 .77 181.89 2.54 520.66 4.23 1020.57 5.75 1662.68 , 7.06 .60 17.19 .79 184.43 2.57 524.89 4.25 1026.32 5.77 1669.74 7.07 .61 17.98 .81 187.00 2.57 529.14 4.26 1032.09 5.78 1676.81 7.09 .62 18.79 .83 189.57 2.60 533.40 4.27 1037.87 5.80 1683.90 7.09 .63 19.62 .85 192.17 2.62 537.67 4.30 1043.67 5.81 1690.99 7.11 .64 20.47 .86 194.79 2.63 541.97 4.31 1049.48 5.83 1698.10 7.12 .65 21.33 .88 197.42 2.65 546.28 4.32 1055.31 5.84 1705.22 7.13 .66 22.21 .90 200.07 2.66 550.60 4.34 1061.15 5.85 1712.35 7.14 .67 23.11 .92 202.73 2.68 554.94 4.36 1067.00 5.87 1719.49 7.15 .68 24.03 .93 205.41 2.71 559.30 4.37 1072.87 5.88 1726.64 7.17 .69 24.96 .96 208.12 2.71 563.67 4.38 1078.75 5.89 1733.81 7.17 .70 25.92 .97 210.83 2.74 568.05 4.41 1084.64 5.91 1740.98 7.19 .71 26.89 .99 213.57 2.75 572.46 4.42 1090.55 5.93 1748.17 7.20 .72 27.88 1.00 216.32 2.77 576.88 4.44 1096.48 5.93 1755.37 7.21 .73 28.88 1.03 219.09 2.78 581.32 4.45 1102.41 5.96 1762.58 7.22 .74 29.91 1.04 221.87 2.81 585.77 4.47 1108.37 5.96 1769.80 7.23 .75 30.95 1.06 224.68 2.82 590.24 4.48 1114.33 5.98 1777.03 7.25 .76 32.01 1.08 227.50 2.84 594.72 4.50 1120.31 6.00 1784.28 7.25 .77 33.09 1-10 230.34 2.85 599.22 4.52 1126.31 6.00 1791.53 7.27 .78 34.19 1.11 233.19 2.88 603.74 4.53 1132,31 6.02 1798.80 7.28 .79 35.30 1.13 236.07 2.89 608.27 4.54 1138.33 6.03 1806.08 7.28 .80 36.43 1.15 238.96 2.91 612.81 4.57 1 144.36 6.05 1813.36 7.31 .81 37.58 1.17 241.87 2.92 617.38 4.58 1150.41 6.07 1820.67 7.31 .82 38.75 1.19 244.79 2.94 621.96 4.59 1156.48 6.07 1827.98 7.32 .83 39.94 1.20 247.73 2.96 626.55 4.61 1162.55 6.09 1835.30 7.33 .84 41.14 1.22 250.69 2.98 631.16 4.63 1168.64 6.11 1842.63 7.35 .85 42.36 1.24 253.67 2.99 635.79 4.64 1174.75 6.12 1849.98 7.35 .86 43.60 1.26 256.66 3.01 640.43 4.66 1180.87 6.13 1857.33 7.37 .87 44.86 1.27 259.67 3.03 645.09 4.67 1187.00 6.14 1864.70 7.38 .88 46.13 1.29 262.70 3.04 649.76 4.69 1193.14 6.16 1872.08 7.38 .89 47.42 1.31 265.74 3.07 654.45 4.71 1199.30 6.17 1879.46 7.40 .90 48.73 1.33 268.81 3.07 659.16 4.72 1205.47 6.18 1886.86 7.41 .91 50.06 1.34 271.88 3.10 663.88 4.73 1211.65 6.20 1894.27 7.43 .92 51.40 1.37 274.98 3.11 668.61 4.75 1217.85 6.22 1901.70 7.43 .93 52.77 1.38 278.09 3.13 673.36 4.78 1224.07 6.22 1909.13 7.44 .94 54.15 1.40 281.22 3.15 678.14 4.78 1230.29 6.24 1916.57 7.46 .95 55.55 1.42 284.37 3.16 682.92 4.80 1236.53 6.25 1924.03 7.46 .96 56.97 1.44 287.53 3.19 687.72 4.81 1242.78 6.27 1931.49 7.47 .97 58.41 1.44 290.72 3.19 692.53 4.83 1249.05 6.28 1938.96 7.49 .98 59.85 1.47 293.91 3.22 697.36 4.85 1255.33 6.29 1946.45 7.50 .99 61.32 +1.49 297.13 +3.23 702.21 +4.85 1261.62 +6.31 1953.95 +7.50 1.00 62.81 300.36 707.06 1267.93 1961.45 95 TABLE VII. ARGUMENT 2. Equation = 4587".400 -}- 4586".9 sin. (2t — r) -t-31".2 sin. (4< — 2*). Period, 31.81193574 days. Days. .• 6 7 8 i Decimals of a Day Equal ion. Dif. Equation. Dif Equation. Dif. Equation. Dif Equation. Dif. .00 1961.45 +7.52 2760.43 -1-8.42 3633.06 +8.98 !.-> 14.23 +9.19 5157.15 +9.01 .01 1968.97 7.53 2768.85 8.43 3(i 12.0 1 8.99 4553.42 9..18 5466.16 9.01 .02 1976.50 7.54 2777.28 8.43 3651.03) 8.99 4562.60 9.18 5175.17 9.01 .03 1984.04 7.55 2785.71 8.44 3660.02 8.99 4571.78 9..18 5484.18 9.00 .04 1991.59 7.55 2794.15 8.45 3669.01 8.99 4580.96 9.18 5193.18 9.00 .05 1999.14 7.57 2802.60 8.45 3678.00 9.00 45ilO.ll 9.19 5*02,18 g.99 .06 2006.71 7.58 2811.05 8.47 3687.00 9.01 45U9.93 8.18 5511.17 8.99 .07 2014.29 7.59 9819.52 8.46 :ii;i)6.01 il.OO 1608.51 9.18 55-20.16 8.99 .08 2021.88 7.61 2827.98 8.48 3705.01 !).()! l(J17.(i!) 9.19 55-29.15 8.98 .09 2029.49 7.61 2836.46 8.48 3711.0-..' !».()•,' 4686.88 9.18 5538.13 8.98 .10 2037.10 7.62 2844.94 8.49 3723.0 1 9.02 4636.0(5 9.18 5547.11 8.98 .11 2044.72 7.63 2853.43 8.50 3732.06 il.O-J Ifll.-).-^! 9.18 5556.09 8.97 .12 2052.35 7.64 •2861.93 8.50 3741.08 8L02 4651,1-2 9.19 55(15. (Hi 8.96 .13 2059.99 7.66 287(1. 13 8.51 3750.10 !i.(i:{ 4668.61 9.18 5571.02 8.97 .14 2067.65 7.66 2878.94 8.52 37511. 13 9.03 4672.79 9.18 5683.99 8.96 .15 2075.31 7.67 2887.46 8.53 3768.16 9.04 4681.97 9.18 5591.95 8.95 .16 2082.98 7.68 2895.99 8.53 3777.20 9.04 4691.15 9.18 5600.90 8.95 .17 2090.66 7.69 2904.52 8.54 3786.2 I 9.04 4700.33 9.18 6609.85 8.95 48 2098.35 7.71 2913.06 8.54 8795.28 9.04 4709.51 9.18 5618.80 8.94 .19 2106.06 7.71 2921.60 8.55 3804.32 9.05 4718.69 9.17 5627.74 8.94 .20 2113.77 7.72 2930.15 8.56 3813.37 9.05 4727.86 9.18 563(i.(lN 8.93 .21 2121.49 7.73 2938.71 8.57 3822.42 9.06 4737.04 9.18 5645.61 8.93 .22 2129.22 7.75 2947.28 8.57 3831.48 9.05 4746.22 9.18 .565151 8.93 .23 2136.97 7.75 2955.85 8.58 3* 10.53 9.06 4755. 10 9.17 5663. 17 8.92 A4 2144.72 7.76 2964.43 8.59 3849.59 9.07 4764.57 9.18 5672.39 8.92 .25 2152.48 7.78 2973.02 8.59 3858.66 9.06 4773.75 9.17 568L81 8.91 .26 2160.26 7.78 2981.61 8.60 3867.72 9.07 4782.92 9.18 5690.22 8.91 .27 2168.04 7.79 B990.21 8.60 3N76.79 9.07 1792,10 9.17 5699,13 8.90 .28 2175.83 7.80 2998.81 8.61 3885.86 9.08 4801.27 9.17 5708.03 890 .29 2183.63 7.81 3007.42 8.62 3894.94 9.08 4810.44 9.17 5716.93 8.90 .30 2191.44 7.82 3016.04 8.62 3!M) I.I I-.' 9.08 481!).(il 9.17 5725.83 8.89 .31 2199.26 7.83 3024.66 8.63 3913. 10 9.08 482H.7N 9.17 5731.7-2 8.88 .32 2207.09 7.84 303:!.-2ii 8.64 1939.18 9.09 4837.!)-i 9.17 5748.60 8.88 .33 2211.93 7.85 8041.98 864 393 1 .'27 9.08 is 17. 12 9.17 5752. is 8.88 .34 H3&78 7.86 3050.57 865 3940.35 9.10 4856.29 9.16 6711.36 8.87 .35 2230.64 7.87 80MJ& 8.65 3!t in. ir. 9.0!) 4865. 15 9.17 5770.'23 8.87 .36 •-".'.•{8.51 7.88 3067.83 S.lw 8968.54 !).!() IS74.62 9.16 577!). 10 8.86 .37 •.".' ifi.:t!i 7.89 8076.54 H.66 3it!)3.88 8.67 :(i)N.-,.Ni 9.10 (008.11 9.16 B805.66 8.85 .40 8870.06 7.92 319&66 8.6!) 3!l!> l.ill 9.11 IIM1.27 9.16 5SM.51 8.8 1 .11 2278.00 7.92 3 1 1 1 .-2 1 8.69 400 1.05 9.10 1920.43 9.16 5823.35 8.84 .42 2285.92 7.94 31111.93 8.70 l(ii:i.i:» 9.11 (929-59 9.15 5832.19 N.Kt .43 •2293.MH 7 .ill 3I2M.63 s.7<> 40-J-,'.2C 9.1-J 1988.74 9.16 5841.02 8.82 .11 •23( >l. MI 7.96 :!i:f7.:!:f 8.71 .|():(l.:{.s 9.11 4947.90 11.15 149.84 8.83 .15 230!».7(i 7 Sli ::ii(i.m N.7-2 HllO.li) 9.12 ..7.05 9.15 0888.67 s.si .K; 2317.7-2 7.!)7 3l5i.7i; s7-2 •KlliUil il.l'J 4966.80 9.15 6867.48 8.81 .1: •23-25.6! i 7.ss :;n;:{. is s.73 10.-iS.73 ').!-' .11(75.35 9.15 5H7C.-2!) N.Sl .48 eSSS-ft 3172.21 'v7:t I(iii7.s:. 11.13 • liis |.r,() !).I5 5885.10 8.80 .1!! 2:m.<:<; s.oo 3iso.!»l *.-;:{ 4076.9N D.I-J 4993,65 il.ll 5893.90 S.7!) .50 2:;i:u;i; H-H.OO 31*11.67 -fS.75 i(is(;.io +9.13 6002.79 +9.15 5902.69 +S.7!) 96 TABLE VII. ARGUMENT 2. Equation = 4587".400 + 4586".9 sin. (2t — x) -t-31".2 sin. (4* Period, 31.81193574 days. Days. 5 6 7 8 9 Decimals of a Hay. Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. .50 234y".6fi +8.00 3189.67 +8.75 4086.10 +9.13 5002.79 +9.15 5902.69 +8.79 .51 2357.66; 8.02 3198.42 8.75 4095.23 9.13 5011.94 9.14 5911.48 8.79 .52 2365.68 8.03 3^07.17 8.76 4104.36 9.14 5021.08 9.14 5920.27 8.78 .53 2373.71 1 8.03 3215.93 8.75 4113.50 9.13 5030.22 9.14 5929.05 8.77 .54 2381.74 8.04 3224.68 8.77 4122.63 9.14 5039.36 9.14 5937.82 8.77 .55 2389.78 8.05 3233.45 8.77 4131.77 9.13 5048.50 9.13 5946.59 8.77 .53 2397.83 8.07 3242.22 8.78 4140.90 9.14 5057.63 9.14 5955.36 8.75 .57 2405.90 8.07 3251.00 8.78 4150.04 9.14 5066.77 9.13 5964.11 8.76 .58 2413.97 8.08 3259.78 8.79 4159.18 9.15 5075.90 9.13 5972.87 8.75 .59 2422.05 8.08 3268.57 8.79 4168.33 9.14 5085.03 9.12 5981.62 8.73 .60 2430.13 8.10 3277.36 8.80 4177.47 9.15 5094.15 9.13 5990.35 8.73 .61 2438.23 8.11 3286.16 8.80 4186.62 9.15 5103.28 9.12 5999.08 8.73 .62 2446.34 8.11 3294.96 8.81 4195.77 9.15 5112.40 9.12 6007.81 8.73 .63 2454.45 8.12 3303.77 8.82 4204.92 9.15 5121.52 9.12 6016.54 8.72 .64 2462.57 8.13 3312.59 8.81 4214.07 9.15 5130.64 9.12 6025.26 8.71 .65 2470.70 8.14 3321.40 8.83 4223.22 9.16 5139.76 9.11 6033.97 8.70 .66 2478.84 8.15 3330.23 8.83 4232.38 9.15 5148.87 9.12 6042.67 8.71 .67 2486.99 8.1-6 3339.06 8.83 4241.53 9.16 5157.99 9.10 6051.38 8.69 .68 2495.15 8.17 3347.89 8.84 4250.69 9.16 5167.09 9.10 6060.07 8.69 .69 2503.32 8.16 3356.73 8.85 4259.85 9.15 5176.19 9.11 6068.76 8.67 .70 2511.48 8.18 3365.58 8.85 4269.00 9.17 5185.30 9.10 6077.43 8.68 .71 2519.66 8.20 3374.43 8.85 4278.17 9.16 5194.40 9.11 6086.11 8.67 .72 2527.86 8.20 3383.28 8.86 4287.33 9.16 5203.51 9.09 6094.78 8.66 .73 2536.06 8.20 3392.14 8.87 4296.49 9.18 5212.60 9.10 6103.44 8.66 .74 2544.26 8.22 3401.01 8.87 4305.67 9.15 5221.70 9.09 6112.10 8.65 .75 2552.48 8.22 3409.88 8.87 4314.82 9.17 5230.79 9.09 6120.75 8.65 .76 2560.70 8.23 3418.75 8.88 4323.99 9.17 5239.88 9.09 6129.40 8.64 .77 2568.93 8.24 3427.63 8.88 4333.16 9.17 5248.97 9.08 6138.04 8.63 .78 2577.17 8.25 343(1. f>l 8.89 4342.33 9.17 5258.05 9.08 6146.67 8.63 .79 2585.42 8.25 3445.40 8.89 4351.50 9.17 5267.13 9.08 6155.30 8.62 .80 2593.67 8.27 3454.29 8.90 4360.67 9.17 5276.21 9.08 6163.92 8.61 .81 2601.94 8.27 3463.19 8.90 4369.84 9.18 5285.29 9.07 6172.53 8.60 .82 261021 8.28 3 172.09 8.91 4379.02 9.17 5294.36 9.07 6181.13 8.61 .83 2618.49 8.29 3481.00 8.91 4388.19 9.17 5303.43 9.07 6189.74 8.59 .84 2626.78 8.29 3489.91 8.91 4397.36 9.18 5312.50 9.07 6198.33 8.59 .85 2635.07 8.31 3498.82 8.92 4406.54 9.17 5321.57 9.05 6206.92 8.58 .86 2643.38 8.31 3507.74 8.92 4415.71 9.18 5330.62 9.06 6215.50 8.57 .87 2651.69 8.32 3516.66 8.93 4424.89 9.18 5339.68 9.06 6224.07 8.57 .88 2660.01 8.32 3525.59 8.94 1434.07 9.17 5348.74 9.05 6232.64 8.57 .89 2668.33 8.34 3534.53 8.93 4443.24 9.18 5357.79 9.05 6241.21 8.55 .90 2676.67 8.34 3513.46 8.94 4152.42 9.18 5366.84 9.04 6249.76 8.55 .91 2685.01 8.35 3552.40 8.95 4461.60 9.18 5375.88 9.05 6258.31 8.54 .92 2693.36 8.36 3561.35 8.95 4470.78 9. IS 5384.93 9.04 6266.85 8.53 .93 2701 72 8.37 3570.30 8.95 4479.96 9.18 5393.97 9.03 6275.38 8.53 .94 2710.09 8.37 3579.25 8.96 4489.14 9.19 5403.00 9.04 6283.91 8.52 .95 2718.46 8.38 3588.21 8.96 4498.33 9.18 5412.04 9.03 6292.43 8.52 .96 2726.84 8.39 3597.17 8.97 4507.51 9.18 5421.07 9.02 6300.95 8.50 .97 2735.23 8.39 3606.14 8.97 4516.69 9.18 5 130.09 9.03 6309.45 8.50 .98 274362 8.41 3615.11 8.97 4525.87 9.18 5439.12 9.02 6317.95 8.50 .99 2752.03 +8.40 3624.08 +8.98 4535.05 +9.18 5448.14 +9.01 6326.45 +8.48 1.00 2760. 13 3633.06 4544.23 5457.15 6334.93 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f- 4586".9 sin. (2t — x) -+-31".2 sin. (4< — 2i). Period, 31.81193574 days. Days. 1O 11 13 13 14 Decimal! of a Day Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. .00 6334.93 +8.48 7142.25 +7.61 7846.93 +6.43 8421.28 +5.00 8843.22 +3.39 .01 6343.41 8.47 7149.86 7.60 7853.36 6.42 8426.28 4.99 8* 16.61 3.37 .02 6351.88 8.46 7157.46 7.58 7869,78 (i. 11 8131.27 4.98 8849.98 3.36 .03 6360.34 8.46 7165.04 7.57 7866.19 <;.:!!> 8 136.25 4.95 8853.3 1 3.35 .04 6368.80 8.45 7172.61 7.57 7872.58 6.38 8441.20 4.94 8856.69 3.32 .05 6377.25 8.44 7180.18 7.55 7878.96 6.36 8146.14 4.93 8860.01 8.31 .06 6385.69 8.43 7187.73 7.54 7885.32 6.35 8451.07 4.91 8868.32 3.29 .07 6394.12 8.43 7195.27 7.53 7891.67 6134 8455.98 4.90 8866.61 3.27 .08 6402.55 8.43 7-.J02.80 7.52 7898.01 6.32 8480.88 4.89 8869:88 3.26 .09 6410.98 8.41 7210.32 7.52 7904.33 6.31 8465.77 4.87 8873.14 3.23 .10 6419.39 8.41 7217.84 7.50 7910.64 6.30 8470.64 4.85 8876.37 3.22 .11 6427.80 8.40 7225.34 7.49 7916.94 6.29 8475.49 4.84 8879.59 3.31 .12 6436.20 8.39 7232.83 . 7.48 7923.23 6.27 8480.33 4.82 8882.80 3.19 .13 6444.59 8.38 7240.81 7.46 7929.50 6.26 8485.15 4.80 8885.99 3.17 .14 6452.97 8.38 7247.77 7.46 7935.76 6.24 8489.95 4.79 8889.16 3.15 .15 6461.35 8.37 7255.23 7.45 7942.00 6.23 8494.74 4.78 8892.31 3.14 .16 646! 1.7-2 8.36 7262.68 7.43 7948.23 6.22 8499.52 4.76 8895. 15 3.12 .17 6178.08 8.35 7-270.11 7.43 7954.45 6.20 8504.28 • 4.74 8898.57 3.10 .18 6486.43 8.35 7277.54 7.41 7960.65 6.19 8509.02 4.73 8901.67 3.09 .19 6494.78 8.34 7284.95 7.41 7966.84 6.18 8513.75 4.71 8904.76 3.07 .20 6503.12 8.33 7292.36 7.39 7973.02 6.17 8518.46 4.69 8907.83 3.05 .21 6511.45 8.32 1299.75 7.39 7979.19 6.15 8523.1.-) 4.68 8910.88 3.03 .22 6519.77 8.31 7307.14 7.37 7985.34 6.13 8527.83 4.67 8913.91 3.02 .23 6528.08 8.31 7314.51 7.36 7991.47 6.12 8532.50 4.65 8916.93 3.00 .24 6536.39 8.30 7321.87 7.35 7997.59 6.11 8537.15 4.63 8919.93 2.98 .25 6544.69 8.29 7329.22 7.33 8003.70 6.10 8541.78 4.62 8922.91 2.97 .26 66B2.98 8.28 7336.55 7.33 8009.80 6.08 8546.40 4.60 8925.88 2.95 .27 0561.26 . 8.27 7343.88 7.31 8015.88 6.07 8551.00 4.58 8928.83 2.93 .28 6569.53 8.27 7351.19 7.31 8021.95 6.05 8555.58 4.57 8931.76 2.91 .29 6577.80 8.26 7358.50 7.30 8028.00 6.04 8560.15 4.55 8934.67 2.90 .30 6586.06 8.25 7365.80 7.28 8034.04 6.03 8564.70 4.54 8937.57 2.88 • .31 6594.31 8.25 7373.08 7.27 8040.07 6.01 8569.24 4.52 8940.45 2.86 .32 6602.56 8.23 7880.85 7.26 M) 16.08 6.00 8573.76 4.51 8948.81 2.85 .33 6610.79 8.23 7387.61 7.24 8082.08 5.99 8578.27 4.49 8946.16 2.83 .34 6619.02 8.21 7394.85 7.24 8058.07 5.97 8582.76 4.48 8948.99 2.81 .35 6627.23 8.21 7 102.09 7.23 8064.04 5.96 8587.24 4.46 8951.80 2.79 .36 (i(i35.44 8.20 7409.82 7.21 8070.00 5.94 8991.70 4.44 8954.69 2.78 .37 6643.64 8.20 7116.53 7.20 8075.94 5.93 8596.14 4.43 8957.37 2.76 .38 6651.84 8.18 7 123.73 7.20 8081.87 5.91 8r)(M).;>7 4,11 8960.13 2.74 .39 6660.02 8.18 7130.93 7.18 8087.78 5.90 8604.98 4.39 8962.87 2.72 .40 6668.20 8.17 7138.11 7.17 9008.68 5.89 8609.37 4.38 8965.69 2.71 .41 6676.37 8.16 7 1 15.28 7.15 §099.57 5.87 8613.75 4.86 8KIW.30 2.69 .42 66*4.53 8.15 7452.48 7.15 HI 05.44 5.86 sdl8.ll 4.85 MI70.99 2.67 .43 6692.68 8.14 7469.58 7.13 Mil. 30 5.85 8622.46 l.:t:t 8!)73.6(i 2.66 .44 6700.82 8.14 7166.71 7.13 8117.15 5.83 8626.79 4.31 897() .28 9136.75 1.16 9163.84 .63 9013.3s 2.38 8893.66 4.03 8214.93 5.50 .29 9137.91 1.14 9163.21 .65 9011.00 2.40 8688.53 4.01 820!). 13 5.52 .30 9139.05 1.12 9162.56 .67 9008.60 2.42 8684.49 4.06 8203.91 5.51 .31 9140.17 1.10 9161.89 .68 9006.18 2.43 8680.43 4.08 8198.87 5.55 .32 9141.27 1.09 9161.21 .70 9003.7:> 2.45 8676.35 4.09 8192.82 5.56 .33 9142.36 1.06 9160.51 .73 9001.30 2.47 N(i72.26 4.10 8187.26 5.57 .34 9143.42 1.05 9159.78 .74 8998.83 2.48 8668.16 4.12 8181.6!) 5.59 .35 9144.47 1.04 9159.04 .75 8996.35 2.50 8661.01 4.14 8176.10 5.61 .36 9145.51 1.01 1)158.29 .78 8993.N5 9L6S 8859.90 4.15 8170.11) 5.62 .37 9146.52 1.00 !»1;-)7.51 .79 Hi)!) 1.33 2.51 8655.75 4.17 8164.87 5.63 .38 9147.52 .98 9156.72 .81 N!M8.79 2.5:') 8651.58 4.19 815934 5. (it .39 9148.50 .96 9155.91 .82 8986.24 2.57 8647.39 4.20 8153.60 5.66 .40 9149.4'6 .94 9155.09 B6 8983. 67 2.59 8643.19 4.21 8147.94 5.67 .41 9150.40 .92 9151.21 .86 8981.08 2.60 8688.98 4.23 8 1 12.27 5.68 .42 9151.32 .91 !) 153.38 .88 807VI- 2.62 8634.75 1.21 8186,59 5.70 .43 9152.23 .89 9152.50 .90 H!)75.Ni; 2.6 I 8630.51 4.26 8180.89 5.71 .44 9153.12 .87 9151.60 .92 8973.22 2.66 8626.25 4.28 8125.18 5.73 .45 9153.99 .85 9150.68 .94 8970.56 2.67 8621.97 4.29 8119.45 5.74 .46 9154.84 .84 9149.74 .95 8967.89 2.69 8617.68 4.31 8113.71 5.75 .47 9155.68 .81 9118.7!) .97 8965.20 2.70 Mi 13.37 1.33 8107.96 5.77 .48 9156.49 .80 9147.82 .99 8962.50 2.72 8609.04 1.31 8102.19 5.78 .49 9157.29 .78 9146.83 1.00 81)59.78 2.71 8604.70 4.86 8096.41 5.79 .50 9158.07 -i- .77 911 -1.02 8957.01 -2.76 860().3:> —4.37 8090.62 —5.80 100 TABLE VII. ARGUMENT 2. Equation = 4587".400 -j- 4586".9 sin. (2<— *) 4-31".2 sin. (4< — 2*), Period, 31.81193574 days. Days. 15 16 17 IS 19 Decimals of a Day. Equation. Oif. Equation. Dir Equation. Dif. Equation. Dif. Equation. Dir. .50 9158.07 + .77 9145.83 —1.02 8957.04 -2.76 8600.35 —4.37 8090.62 —5.80 .51 9158.84 .74 9144.81 1.04 8954.28 2.77 8595.98 4.38 8084.82 5.82 .52 9159.58 .73 9143.77 1.06 8951.51 2.79 8591.60 4.40 8079.00 5.83 .53 9160.31 .71 9142.71 1.08 8948.72 2.80 8587.20 4.42 8073.17 5.85 .54 9161.02 .69 9141.63 1.10 8945.92 2.83 8582.78 4.43 8067.32 5.86 .55 9161.71 .68 9140.53 1.11 8943.09 2.84 8578.35 4.45 8061.46 5.87 .56 9162.39 .65 9139.42 1.12 8940.25 2.85 S573.<.0 4.46 8055.59 5.88 .57 9163.01 .64 9138.30 1.15 8937,10 2.88 8569.44 4.47 80W.71 5.90 .58 9163.68 .62 9137.15 1.16 8934.52 2.89 8564.97 4.49 8043.81 5.91 .59 9164.30 .60 9135.99 1.19 8931.63 2.90 8560.48 4.51 8037.90 5.93 .60 9164.90 .59 9134.80 1.20 8928.73 2.92 8555.97 4.52 8031.97 5.93 .61 9165.49 .56 9133.60 1.22 8925.81 2.94 8551.45 4.54 8026.04 5.95 .62 9166.05 .55 9132.38 1.23 8922.87 2.96 8546.91 4.55 8020.09 5.97 .63 9166.60 .53 9131.15 1.2-5 8919.91 2.98 8542.36 4.57 8014.12 5.97 .64 9167.13 .51 9129.90 1.27 8916.93 2.99 8537.79 4.58 8008.15 5.99 .65 9167.64 .50 9128.63 1.29 8913.94 3.00 8533.21 4.60 8002.16 6.00 .66 9168.14 .48 9127.34 1.31 8910.94 3.03 8528.61 4.62 7996.16 6.02 .67 9168^62 .46 9126.03 1.32 8907.91 3.0 [ 8523.99 4.63 7990.14 6.03 .68 9169.08 .44 9124.71 1.34 8904.87 3.05 8519.36 4.64 7984.11 6.04 .69 9169.52 .42 9123.37 1.36 8901.82 3.07 8514.72 4.65 7978.07 6.05 .70 9169.94 .40 9122.01 1.37 8898.75 3.09 8510.07 4.67 7972.02 6.07 .71 9170.34 .39 9120.64 1.40 8895.66 3.11 8505.40 4.69 7965.95 6.08 .72 9170.73 .37 9119.24 1.41 8892.55 3.12 8500.71 4.70 7959.87 6.09 .73 9171.10 .35 9117.83 1.43 8889.43 3.14 8496.01 4.72 7953.78 6.11 .74 9171.45 .33 9116.40 1.44 8886.29 3.16 8491.29 4.73 7947.67 6.12 .75 9171.78 .32 9114.9T 1.47 8883.13 3.17 8486.56 4.74 7941.55 6.13 .76 9172.10 .30 9113.49 1.48 8879.96 3.19 8481.82 4.77 7935.42 6.14 .77 9172.40 .28 9112.01 1.50 8876.77 3.21 8477.05 4.78 7929.28 6.16 .78 9172.68 .26 9110.57 1.52 R^7.?.5() 3.20 8472.27 4.79 7923.12 6.17 .79 9172.94 .24 9108.99 1.53 8870.34 3.24 8467.48 4.80 7916.95 6.18 .80 9173.18 .23 9107.46 1.55 8867.10 3.25 8462.68 4.82 7910.77 6.19 .81 9173.41 21 (Ji05.91 1.57 8.J68.S5 3.27 8457.86 4.S- 7904.58 6.21 .82 9173.62 .19 9104.34 1.58 8860.58 3.29 8453.02 4.85 7898.37 6.22 .83 9173.81 .17 9102.76 1.61 8857.29 3.31 8448.17 4.87 7892.15 6.23 .84 9173.98 .15 9101.15 1.62 8853.98 3.32 8443.30 4.88 7885.92 6.24 .85 9174.13 .14 9099.53 1.64 8850.66 3.33 8438.42 4.89 7879.68 6.26 .86 9174.27 .12 9097.89 1.66 8847.33 3.36 8433.53 4.91 7873.42 6.27 .87 9174.39 .10 9096.23 1.67 8843.97 3.37 8428.62 4.93 7867.15 6.28 .88 9174.49 .08 9094.56 1.69 8840.60 3.38 8423.69 4.94 7860.87 6.29 .89 9174.57 .07 9092.87 1.71 8837.22 3.40 8418.75 4.95 7854.58 6.31 .90 9174.64 .05 9091.16 1.73 8833.82 3.42 8413.80 4.97 T848.27 6.32 .91 9174.69 .03 9089.43 1.74 8830.40 3.44 8408.83 4.99 7841.95 6.33 .92 9174.72 + .01 9087.69 1.76 8826.96 3.45 8403.84 5.00 7835.62 6.34 .93 9174.73 - .01 9085.93 1.78 8823.51 3.47 8398.84 5.01 7829.28 6.35 .94 9174.72 .03 9084.15 1.80 8820.04 3.48 8393.83 5.02 7822.93 6.37 .95 9174.69 .04 9082.35 1.81 8816.56 3.50 8388.81 5.04 7816.56 6.38 .96 917465 .06 9080.54 1.83 8813.06 3.52 8383.77 5.06 7810.18 6.39 .97 9174.59 .08 9078.71 1.85 8809.54 3.53 8378.71 5.07 7803.79 6.40 .98 917451 .10 9076.86 1.87 8806.01 3.55 8373.64 5.08 7797.39 6.42 .99 9174.41 — .11 9074.99 -1.88 8802.46 —3.57 8368.56 -5.10 7790.97 -6.43 1.00 L 9174.30 9073.11 8798.89 8363.46 7784.54 101 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f- 4586".9 sin. (2< — z) -t-31".2 sin. (4« — 2x). Period, 31.81193574 days. Days. 2O 21 99 23 21 Decimals ofii F>.iy. Equation. Dif. Equal ion. Dif. Equation. Dir. Equation. Dif. Equation. Dif. .00 7781.51 -6.45 7084.88 -7.51 6291.42 —8.30 5 134.21 -8.79 45 15.3! -8.94 .01 7778.09| 6.45 7077.37 7.53 6283.12 8.32 5425.42 8.79 4536.4! 8.93 .0-2 7771.64 6.46 7069.84 7.;>i 0274.80 8.32 5416.63 8.7! U527.K 8.94 .03 7765.18 6.48 7062.30 7.51 6266.48 8.33 5107.81 8.80 4518.58 8.93 .04 7758.70 6.49 7054.76 7.56 6258.15 8.33 5399.04 8.80 •1509.6a 8.94 .05 7752.21 6.50 7017.20 7.56 6249.82 8.34 5390.24 8.80 4500.7 8.93 .06 7745.71 6.51 7039.64 7.58 6241.48 8.35 5381.44 8.80 •1191.78 8.94 .07 7739.80 6.63 7032.06 7.58 6233.13 8.35 537-->.(i 1 8.81 4482,8 8.93 .08 7732.67 6.53 7024.48 7.59 6224.78 8.36 5363.8! 8.81 447:!.!) 8.93 .09 7726.14 6.55 7016.89 7.60 6216.42 8.37 5355.02 8.81 4464.98 8.94 .10 7719.59 6.56 7009.29 7.62 6208.05 8.37 5346.21 8.82 4456.0 8.93 .11 7713.03 6.57 7001.67 7.62 6199.68 8.37 5337.3! 8.82 4447.1 8.93 .12 7706.46 6.59 6994.05 7.62 6191.31 8.3J 5328.57 8.82 4438.18 8.93 .13 7699.87 6.59 6986.43 7.64 6182.92 8.39 5319.7" 8.83 1 l-.29.-jr 8.93 .14 7693.28 6.61 6978.79 7.65 6174.53 8.39 5310.92 8.83 4 120.32 8.93 .15 7686.67 6.62 6971.14 7.65 61fifi.lt 8.40 5302.09 8.82 4411.39 8.93 .16 7680.05 6.63 6963.49 7.67 6157.71 8.41 5293.27 8.81 410-J. II 8.93 .17 7673.42 6.64 6955.82 7.67 6149.33 8.41 6284.4! 8.83 4393.5! 8.93 .18 7666.78 6.66 6948.15 7.68 6110.92 8.42 5275.1 K S.s| 4381.(i( 8.93 .19 7660.12 6.66 6940.47 7.69 6132.50 8.42 5266.76 8.84 4375.67 8.92 .20 7653.46 6.68 6932.78 7.71 6124.08 8.43 5257.92 8.84 4366.75 8.93 .21 7616.78 6.69 6925.07 7.70 6i ir>.<;r> 8.11 .VJ 19.08 8.85 4357.82 8,93 .22 7640.09 6.70 6917.37 7.72 6107.21 8.44 52 10.23 8.85 4348.89 8,92 .23 7633.3!) 6.71 6909.65 7.73 6098.77 8.44 5231.38 8.85 4339.97 8,92 .24 7626.68 6.73 6901.92 7.73 6090.33 8.46 5222.53 8.85 4331.05 8.92 .25 7619.95 6.73 6894.19 7.75 6081.87 8.46 5213,68 8.85 4322.13 8.92 .26 76 1SJ2S 6.75 688(1. 1 1 7.75 (1073,1 1 8.46 5204.83 8.86 4313.21 8.92 .27 7601 i.n 6.75 6878.69 7.76 6064.95 8.47 5195.97 8.86 4304.29 8.92 .28 7599.72 6.78 iiVTO.93 7.77 6056.48 8.48 5187.11 8.86 4295.37 8i92 .29 7592.94 6.78 6868.16 7.78 60 18.00 8.48 5178.25 8.87 4286.45 8.92 .30 7586.16 6.79 6855.38 7.79 6039.52 8.48 5169.38 8.86 4277.53 8.92 .31 7579.37 (i.80 6847.59 7.79 6031.04 N.I!) 5160.52 8.87 42fi8.fi 1 8.91 .3-J 757-'.:.7 6.82 6639.80 7.81 6022.55 8.50 5151.65 8.87 4259,7( 8.91 .33 7565.75 6.82 6831.!)!) 7.81 601 i.or. 8.50 5 1 12.78 8>7 4250.79 8.91 .34 7558.93 6.84 6824.18 ' >-J 6005.55 8.51 5133.!) 1 8.88 194,1.88 8.91 .35 75.VJ.09 6.85 6816.36 7.83 5997.04 8.5 i 5125.03 8.88 4232.97 8.91 .36 75 15.2 I 6,86 6808.63 7.83 5988.53 8.5'J 5116.15 8.87 4224.06 8.91 .37 7.->:ix:(s fi.N7 6800.70 7.85 6980.01 8.52 5107.28 9.89 1215.15 8.91 .38 7531.51 6.88 679235 7.85 5971.49 N.53 5098.39 8.88 1206.24 8.00 .39 7624.63 6.89 6785.00 7.87 5962.96 8.5 1 5089.51 8.88 4197.34 8.91 .40 7517.74 6.91 6377,13 7.87 5954.42 8.53 .-.080.63 8.SII 4188. in 8.90 .41 761CL83 6.91 6769.26 7.88 6945.89 S..V, 5071.71 8.s:i 4179.53 8.90 .42 7503.92 6.93 6761.38 7.88 5937.31 s.:-.-, 5062.85 8.8(1 4170.63 8.90 M 7I9<;.!»9 6.93 6753.50 7.!)() 5928.79 s.:,r, 5053.96 8.89 4161.73 8.90 .44 7490.06 6.95 67 15.60 7.90 5920.-J 1 8.56 5045.01 8.89 4J52^3 8.90 .45 7IS3.11 6.96 8787.70 7.!)-,' Q011.68 8.56 5036.18 8.110 1 1 13.93 8.89 .46 7 176.15 11.97 C729.78 7.91 5903.12 8.57 5027.28 8.89 ii :!.->.() 1 8.8!) .47 71U9.18 tl.!is 6731.87 7.!t:t 5894.55 8.57 5018.39 8.90 4126.15 8.89 .48 7 Ki'J.-JO 6.99 6713.94 7.93 5885.98 s.;,s 5009.49 8.!IO 4117.26 8.8!) .49 7155.21 7.01 6706.01 7.!):> 5877. 10 8.59 .-,000.-,!) S.ilO 4108.37 8.8!) .50 : n-vjo -7.01 669846 -7.95 5868.81 -8.58 1991.69 —8.90 101)9.48 -8.88 I I 102 TABLE VII. ARGUMENT 2. Equation = 4587".400 + 4586",9 sin. (2t — ac) + 31".2 sin. (4/ — Zx). Period, 31.81193574 days. Days. QO 21 32 23 • 34 Deelmala of a Day. Equation. Dif. £ liiation. Dif. Equation. Dif. Equation. Dif. Equation. Dif. .50 7448.20 -7.01 6698.06 -7.95 5868".81 -8.58 4991.69 -8.90 4099".48 — aes .51 7441.19 7.02 6690.11 7.96 5860.23 8.60 4982.79 '8.91 4090.60 asg .52 7434.17 7.01 6682.15 7.96 5851.63 8.59 4973.88 8.91 4081.71 8.88 .53 7127.13 7.04 6674.19 7.98 5843.04 8.61 4964.97 8.90 4072.83 8.88 .54 7420.09 7.06 6666.21 7.98 5834.43 8.60 4956.07 8.91 4063.95 8.88 .55 7413.03 7.06 6658.23 7.99 5825.83 8.61 4947.16 8.91 4055.07 8.87 .56 7405.97J 7.08 6650.24 8.00 5817.22 8.62 4938.25 8.91 404G.20 8.87 .57 7398.S9 7.09 66 12.24 8.01 5808.60 8.62 4: (29.31 8.92 4037.33 8.88 .58 7391.80 7.10 6634.23 8.01 5799.98 8.63 4920.42 8.91 4028.45 8.87 .59 7381.70 7.11 6626.22 8.02 5791.35 8.63 4911.51 8.91 4019.58 8.87 .60 7377.59 7.12 6618.20 8.03 5782.72 8.63 4902.60 8.92 4010.71 8.86 .61 7370.47 7.13 66W.17I 8.03 5774.09 8.64 4893.68 8.92 4001.85 8.86 .62 7363.34 7.14 6602.14 8.04 5765.45 8.64 4884.76 8.91 3992.99 8.86 .63 7356.20 7.15 6594.10 8.06 5756.81 8.65 4875.85 8.92 3984.13 8.86 .64 7349.05 7.16 6586.04 8.06 5748.16 8.65 4866.93 8.92 3975.27 8.86 .65 7341.89 7.17 6577.98 8.07 5739.51 8.66 4858.01 8.93 3966.41 8.85 .66 7334.72 7.18 6569.91 8.07 5730.85 8.66 4849.08 8.92 3957.56 8.85 .67 7327.54 7.20 6561.84 8.08 5722.19 8.6G 4840.16 8.92 3948.71 8.85 .68 7320.34 7.20 6553.76 8.09 5713.53 8.67 4831.24 8.92 3939.86 8.85 .69 7313.14 7.21 6545.67 8.10 5704.86 8.67 4822.32 8.93 3931.01 8.85 .70 7305.93 7.23 6537.57 8.10 539G.19 8.08 4313.39 8.93 3922.16 8.84 .71 7298.70 7.23 6529.47 8.11 5687.51 8.68 4804.46 8.92 3913.32 8.84 .72 7291.47 7.25 6521.36 8.12 5678.83 8.69 4795.54 8.93 3904.48 8.84 .73 7284.22 7.25 6513.24 8.12 5670.14 8.69 4786.61 8.93 3895.64 8.83 .74 7276.97 7.26 6505.12 8.14 5661.45 8.69 4777.68 8.93 3886.81 8.83 .75 7269.71 7.28 649G.9S 8.11 5652.76 8.70 4718.75 s.gn 3877.9^ 8.83 .76 7262.43 7.28 6488.84 8.14 5644.06 8.70 4759.82 8.93 3869.15 8.83 .77 7255.15 7.30 6480.70 8.16 5635.36 8.70 4750.89 8.93 3860.32 8.82 .78 7247.85 7.31 6472.5 ' 8.16 r.'v.'A'i'j 8.7! 4741.96 8.93 3851.50 8.82 .79 7210.51 7.32 6464.38 8.10 5ol7.bo 8.72 4733.03 8.93 3842.68 8.82 .80 7233.22 7.S2 6456.2<>. 8.18 5609.23 8.72 4724.10 8.9 1 3833.86 8.82 .81 722590 7.3! 6 i 18.0 1 8.18 r> ;;><>. 5i 8.72 1715.16 ! .9-5 3825.04 8.81 .82 7218.57 7.35 6439.86 8.19 5591.79 8.72 4706.23 8.93 3816.23 8.81 .83 7211.22 7.35 6431.67 8.20 5583.07 8.73 4697.30 8.94 3807.42 8.81 .84 7203.87 7.36 6423.47 8.20 5574.34 8.73 4688.36 8.93 3798.61 8.80 .85 7196.51 7.38 6415.27 8.21 5565.61 8.74 4679.43 8.94 3789.81 8.80 .86 7189.13 7.38 6407.06 8.22 5556.87 8.74 4670.49 8.93 3781.01 8.80 .87 7181.75 7.39 6398.84 8.22 5548.13 8.74 4661.56 8.94 3772.21 8.79 .88 7174.36 7.40 6390.62 8.23 5539.39 8.75 4652.62 8.93 3763.42 8.79 .89 7166.96 7.42 6382.39 8.24 5530.64 8.75 4643.69 8.94 3754.63 8.79 .90 7159.54 7.42 6374.15 8.24 5521.89 8.75 4634.75 8.93 3745.84 8.79 .91 7152.12 7.43 6335.91 8.25 5513.14 8.76 4625.82 8.94 3737.05 8.78 .92 7141.69 7.44 6357.66 8.26 5504.38 8.76 4616.88 8.94 3728.27 8.78 .93 7137.25 7.45 6349.40 8.26 5495.62 8.76 4607.94 8.93 3719.49 8.77 .94 7129.80 7.46 6341.14 8.27 5486.86 8.77 4599.01 8.94 3710.72 8.77 .95 7122.34 7.48 6332.87 8.28 5478.09 8.77 4590.07 8.94 3701.95 8.77 .96 7114.86 7.48 6324.59 8.28 5469.32 8.77 4581.13 8.93 3693.18 8.77 .97 7107.38 7.49 6316.31 8.29 5460.55 8.78 4572.20 8.94 3684.41 8.76 .98 7099.89 7.50 ' 6308.02 8.29 •SW51.77 8.78 4563.26 8.93 3675.65 8.76 .99 7092.39 -7.51 6299.73 —8.31 5442.99 -8.78 4554.33 -8.94 3666.89 —8.75 1.00 7084.88 6291.42 5434.21 4545.39 3658.14 103 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f 4586".9 sin. (2t — x) + 3l".2 sin. (4t — 2*). Period, 31.81193574 days. Days. 23 96 ar 28 29 Decimals of a Day Equation. Dif. Equation. Dif. Equation. Dif. Equation. Dif Et]uation. Dif. .00 3658.14 -8.76 2805.57 -8.24 2019.69 —7.42 1330.30 —6.31 763.97 -4.96 .01 36 19.38 8.75 2797.33 8.23 2012.27 7.41 1323.99 6.30 759.01 4.95 .02 3640.63 8.74 2789.10 8.23 2004.86 7,10 1317.69 6.29 754.06 4.93 .03 3631.89 8.74 2780.87 8.22 1997.46 7.39 1311.40 6.28 749.13 4.92 .04 3623.15 8.74 2772.65 8.21 1990.07 7.38 1305.12 6.26 744.31 4.91 .05 3614.41 8.73 2764.44 8.21 1982.69 7.36 1298.86 6.25 739.30 4.89 .06 3605.68 8.73 2756.23 8.20 1975.33 7.36 1292.61 6.24 731.11 4.87 .07 3596.95 8.73 2748.03 8.19 1967.97 7.35 1286.37 6.23 729.51 4.86 .08 3588.22 8.72 2739.84 8.19 1960.62 7.35 1280.14 6.21 724.68 4.85 .09 3579.50 8.72 2731.65 8.18 1953.27 7.33 1273.93 6.20 719.83 4.82 .10 3570.78 8.72 2723.47 8.17 1945.94 7.32 1267.73 6.19 715.01 4.82 .11 3562.06 8.71 2715.30 8.17 1938.62 7.31 1261.51 6.18 710.19 4.80 .12 3553.35 8.71 2707.13 8.'16 1931.31 7.30 1255.36 6.16 705.39 4.79 .13 3544.64 8.70 2698.97 8.15 1924.01 7.29 1249.20 6.15 700.60 4.77 .14 3535.94 8.70 2690.82 8.14 1916.72 7.28 1243.05 6.14 695.83 4.76 .15 3527.24 8.69 2682.68 8.14 1909.44 7.27 1236.91 6.13 691.07 4.73 .16 3518.55 8.69 2674.54 8.12 1902.17 7.26 1230.78 6.11 686.34 4.73 .17 3509.86 8.69 2666.42 8.13 1894.91 7.25 1224.67 6.10 681.61 4.71 .18 3501.17 8.69 2658.29 8.11 1887.66 7.24 1218.57 6.09 676.90 4.70 .19 3492.48 8.68 2650.18 8.11 1880.42 7.23 1212.48 6.07 672.20 4.68 .20 3483.80 8.67 2642.07 8.10 1873.19 7.22 1206.41 6.06 667.52 4.67 .21 3475.13 8.68 2633.97 8.09 1865.97 7.21 1200.35 6.05 662.85 4.65 .22 3466.45 8.66 2625.88 8.09 1858.76 7.20 1194.30 6.04 658.20 4.63 .23 3457.79 8.67 2617.79 8.08 1851.56 7.18 1 188.26 6.02 653.57 4.63 .24 3449.12 8.65 2609.71 8.07 1844.38 7.18 1182.24 6.01 648.94 4.60 .25 3440.47 8.66 2601.64 8.06 1837.20 7.17 1176.23 6.00 644.34 4.59 .26 3431.81 8.65 2593.58 8.06 1830.03 7.16 1170.23 5.98 639.75 4.58 .27 3123.16 8.64 258552 805 1822.87 7.1.r> 1161.25 5.97 635.17 4.56 .28 3 U 4.52 8.64 2577.47 8.04 1815.72 7.13 115M.2S 6.96 630.61 4.55 .29 3405.88 8.64 2569.43 8.03 1808.59 7.13 1152.32 5.95 626.06 4.63 .30 3397.24 8.63 2561.10 8.03 1801.46 7.11 1140.37 5.93 621.53 4.51 .31 3388.61 8.63 2553.37 8.01 1794.35 7.11 1 140.44 5.90 617.02 i.r.i .32 3379.98 8.63 25ir>.3(i 8.01 1787.24 7.09 1131.51 5.92 612.51 4. IN .33 3371.35 8.82 2537.35 8.01 1780.15 7.0!) 1 12M.C2 6.89 608.03 4.48 .34 3362.73 8.61 2529.34 7.99 1773.06 7.07 1122.73 5.88 603.55 4.45 .35 3351.12 8.61 2521.3.-) 7.99 1765.99 7.06 1116.85 5.S7 599.10 l.ll .:«; 33i:>.:>i 8.60 2513.86 7.98 1768.96 7.06 1110.98 5.85 5!) l.fili 1.12 .37 3:«3<;.!ii 8.60 2605.88 7.97 1751.87 7.01 1106.18 5.N I 690.24 l.ll .38 332V3I 8.60 2497.41 7.96 1744.68 7.03 1099.99 f).H3 685.88 •1.3!) .39 3319.71 8.59 248!). ir> 7.96 1737.80 7.02 1093. It! 5.81 5s 1 . 1 1 •I.3N .40 3311.12 9.69 2481.48 7.98 1730.78 7.01 1087.66 6.80 577.(Hi 4.37 .41 3:«>2.r.3 8.66 2473.64 7.91 1723.77 <;.!)!) 1081.88 5.7!) 572.69 1.31 .42 32!)3.ic> 8.57 2465.60 7.1)3 1716.78 (I.!)!) 1076.06 5.77 668.85 4.34 .13 8886.88 2457.67 7.!)3 1709.79 g.98 1070.29 5.76 664.01 4.31 .44 3276.8 1 8.57 •_' 1 19.74 7.91 1702.81 6.96 1061.53 5.7.') 669.70 4.30 .45 32i Iv.'l 8.56 •Jill. S3 7.91 1CW.86 6.96 1058.78 5.73 :,.-,:.. 10 4.29 .it; 8359.68 8.66 2438.9(2 7.!)2 l(iss>!( «;.! 1086.98 5.68 538.3 1 4.22 .50 9085.48 -8.51 2102.37 -7.87 1661.19 -6.90 1030.25 -5.67 534.12 -4.21 101 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f 4586".9 sin. (2t — x) + 31".2 sin. (4t — Period, 31.81193574 days. Days. 23 3G 37 38 39 Decimals i>f a Day. Kquiuiim. Dif. Equation. Dif. Equal tod. Dir Equation. Dir Equation. Dif. .50 32^:>. is -8.51 2402.37 -7.87 1661.1! -6.90 1830.Q -5.6 534.1 -4.21 .51 3216.91 8.53 2394.50 7.86 1654.29 6.89 HB4.5 5.6 529.9 4.19 .52 3208.41 8.53 2386.64 7.85 1647.4C 6.88 1018.9 5.6 525.7 4.18 .53 3199.88 8.52 2378.79 7.84 W40.52 6.86 1013.2 5.6 521.5 4.16 .54 3191.36 8.51 2370.95 7.83 1633.66 6.86 1007.6 5.6 517.3 4.15 .55 3182.85 8.50 2363.12 7.83 1626.80 6.8 1002.0 5.5 513.2 4.13 .56 3174.35 8.52 2355.29 7.82 1619.96 6.8 996.4 5.5 509.1 4.11 .57 3165.83 8.50 2347.47 7.80 1613.12 6.82 990.8 5.5 504.9 4.11 .58 3157.33 8.49 2339.67 7.80 1606.30 6.81 985.3 5.5 500.8 4.08 .59 3148.84 8.49 2331.87 7.80 1599.49 6.80 979.7 5.54 496.8 4.07 .60 8140.35 8.49 2324.07 7.78 1592.69 6.78 974.20 5.53 492.7 4.05 .61 3131.86 8.47 2316.29 7.78 1585.91 6.78 968.6" 5.52 488.6 4.04 .62 3123.39 8.48 2308:51 7.76 1579.13 6.76 963.15 5.50 484.6 4.02 .63 3114.91 8.46 2300.75 7.76 1572.37 6.76 957.6. 5.49 480.6 4.01 .64 3106.45 8.46 2292.99 7.75 1565.61 6.74 952.16 5.47 476.6 3.98 .65 3097.99 8.46 2285.24 7.74 1558.87 6.73 946.69 5.46 472.6 3.98 .66 3089.53 8.45 2277.50 7.73 1552.14 6.72 941.23 5.45 468.6 3.96 .67 3081.08 8.45 2269.77 7.72 1545.42 6.71 935.78 5.43 464.6 3.94 .68 3072.63 8.44 2262.05 7.72 1538.71 6.69 930.35 5.42 460.7 3.93 .69 3064.19 8.43 2254.33 7.70 1532.02 6.69 924.93 5.40 456.8 3.91 .70 3055.76 8.43 2246.63 7.70 1525.33 6.67 919.53 5.39 452.9 3.89 .71 3047.33 8.42 223893 7.69 1518.66 6.66 914.14 5.39 449.02 3.88 .72 3038.91 8.42 2231.24 7.68 1512.00 6.65 908.75 5.35 445.1 3.87 .73 3030.49 8.41 2223.56 7.67 1505.35 6.64 903.40 5.35 441.27 3.84 .74 3022.08 8.40 2215.89 7.66 1498.71 6.62 898.05 5.34 437.4. 3.83 .75 3013.68 8.40 2208.23 7.65 1492.09 6.62 892.71 5.32 433.60 3.82 .76 3005.28 8.39 2200.58 7.64 1485.47 6.60 887.39 5.31 429.78 3.80 .77 2996.89 8.38 2192.94 7.64 1478.87 6.59 882.08 5.29 425.98 3.78 .78 2988.51 8.38 2185.30 7.62 1472.28 6.58 876.79 5.28 422.20 3.77 .79 2980.13 8.38 2177.68 7.62 1465.70 6.57 871.51 5.26 418.43 3.75 .80 2971.75 8.37 2170.06 7.60 1459.13 6.56 866.25 5.25 414.68 3.74 .81 2963.38 8.36 2162.46 7.60 1452.57 6.54 861.00 5.24 410.94 3.72 .82 2955.02 8.36 2154.86 7.59 1446.03 6.53 855.76 5.22 407.22 3.70 .83 2946.66 8.35 2147.27 7.58 1439.50 6.52 850.54 5.20 403.52 3.69 .84 2938.31 8.34 2139.69 7.57 1432.98 6.51 845.34 520 399.83 3.67 .85 2929.97 8.34 2132.12 7.5P 1426.47 6.49 810.14 5.18 396.16 3.65 .86 2921.63 8.33 2124.56 7.55 1419.98 6.49 834.96 5.16 392.51 3.64 .87 2913.30 8.33 2117.01 7.55 1413.49 6.47 829.80 5.15 388.87 3.62 .88 2904.!)7 8.32 2109.46 7,53 1407.02 6.46 824.65 5.14 385.25 361 .89 2896.65 8.31 2101.93 7.52 1400.56 6.45 819.51 5.12 381.64 3.59 .90 2888.34 8.31 2094.41 7.52 1394.11 6.43 814.39 5.11 378.05 3.58 .91 2880.03 8.30 2086.89 7.50 1387.68 6.43 809.28 5.09 374.47 3.56 .92 2871.73 8.29 2079.39 7.50 1381.25 6.41 804.19 5.08 370.91 3.54 .93 2863.44 8.29 2071.89 7.48 1374.84 6.40 799.11 5.06 367.37 3.53 .94 2855.15 8.28 2064.41 7.48 1368.44 6.38 794.05 5.05 363.84 3.51 .95 2846.87 8.27 2050.93 7.47 1362.06 6.38 78900 5.04 360.33 3.49 .96 2838.60 8.27 2049.46 7.45 1355.68 6.36 783.96 5.02 356.84 3.48 .97 2830.33 8.26 2042.01 7.45 1349.32 6.35 778.94 5.00 353.36 3.46 .98 2822.07 8.25 2031.56 7.44 1342.97 6.34 773.94 4.99 349.90 3.44 .99 2813.82 —8.25 2027.12 -7.43 1336.63 -6.33 768.95 -4.98 346.46 -3.43 1.00 2805.57 2019.69 1330.30 763.97 343.03 105 TABLE VII. ARGUMENT 2. Equation = 45S7".400 -f- 4586".9 sin. (2t— x) + 3P.2 sin. (4t — 2*). Period, 31.81193574 days. Days. 3O 31 Decimals of a Day. Equation. Difference. Equation. Difference. .00 346.03 -3.41 84".67 -1.72 .01 339.62 3.40 82.95 1.70 .02 336.22 3.38 81.25 1.69 .03 332.84 3.36 79.56 1.66 .04 329.48 3.35 77.90 1.66 .05 326.13 3.33 76.24 1.63 .06 322.80 3.31 74.61 1.61 .07 319.49 3.30 73.00 1.60 .08 316.19 3.28 71.40 1.58 .09 312.91 3.27 69.82 1.56 .10 309.64 3.25 68.26 1.54 .11 306.39 3.23 66.72 1.53 .12 303.16 3.22 65.19 1.51 .13 299.94 3.19 63.68 1.49 .14 296.75 3.19 62.19 1.48 .15 293.56 . 3.16 60.71 1.45 .16 290.40 3.15 59.26 1.44 .17 287.25 3.14 57.82 1.42 .18 284.11 3.11 56.40 1.41 .19 281.00 3.10 54.99 1.38 50 277.90 3.08 53.61 1.37 .21 274.82 3.07 52.24 1.35 .22 271.75 3.05 50.89 1.34 53 268.70 3.03 49.55 1.31 .24 265.67 3.02 48.24 1.30 55 262.65 3.00 46.94 1.28 .26 259.65 2.98 45.66 1.27 57 256.67 2.97 44.39 1.24 58 253.70 2.95 43.15 1.23 59 250.75 2.93 41.92 1.21 .30 247.82 2.92 40.71 1.19 .31 244.90 2.90 39.52 1.18 .32 242.00 2.88 38.34 1.15 .33 239.12 2.87 37.19 1.14 .34 236.25 2.85 36.05 1.13 .35 233.40 2.83 34.92 1.10 .36 230.57 2.82 33.82 1.09 .37 227.75 2.80 32.73 1.07 .38 224.95 2.78 31.66 1.05 .39 222.17 2.77 30.61 1.03 .40 219.40 2.74 29.58 1.02 .41 216.66 2.74 28.56 1.00 .42 213.92 2.71 27.56 .98 .43 211.21 2.70 26.58 .96 .44 208.51 2.68 25.62 .94 .45 205.83 2.65 24.68 .93 .46 203.18 2.64 23.75 .91 .47 200.54 2.63 22.84 .89 .48 1!)7.91 2.62 21.95 .88 .49 195.29 2.62 21.07 .85 .50 192.67 -2.58 20.22 . - .84 106 TABLE VII. ARGUMENT 2. Equation = 4587".400 -f 4586".9 sin. (2« — x) + 31".2 sin. (4i — 2*). Period, 31.81193574 days. Days. SO 31 Pficimala of a Day. Equation. Difference. Equation. Difference. .50 192.67 —2.58 20.22 —.84 .51 190.09 2.56 19.38 .82 .52 187.53 2.54 18.56 .80 • .53 184.99 2.53 17.76 .79 .54 182.46 2.51 16.97 .77 .55 179.95 2.50 16.20 .75 .56 177.45 2.48 15.45 .73 .57 174.97 2.46 14.72 .71 .58 172.51 2.44 14.01 .70 .59 170.07 2.42 13.31 .67 .60 167.65 2.41 12.64 .67 .61 165.24 2.40 11.97 .64 .62 162.84 * 2.37 11.33 .62 .63 160.47 2.36 10.71 .61 .64 158.11 2.34 10.10 .59 .65 155.77 2.33 9.51 .57 .66 153.44 2.31 8.94 .56 .67 151.13 2.29 8.38 .53 .68 148.84 2.27 7.85 .52 .69 146.57 2.25 7.33 .50 .70 144.32 2.25 6.83 .48 .71 142.07 2.22 6.35 .47 .72 139.85 2.20 5.88 .44 .73 137.65 2.19 5.44 .43 .74 135.46 2.17 5.01 .41 .75 133.29 2.15 4.60 .40 .76 131.14 2.14 4.20 .37 .77 129.00 2.12 3.83 .36 .78 126.88 2.10 3.47 .34 .79 124.78 2.08 3.13 .32 .80 122.70 2.06 2.81 .30 .81 120.64 2.05 2.51 .29 .82 118.59 2.04 2.22 .27 .83 116.55 2.01 1.95 .25 .84 114.54 2.00 1.70 .23 .85 112.54 1.98 1.47 .21 .86 110.56 - 1.96 1.26 .20 .87 108.60 1.94 1.06 .18 .88 106.66 1.93 .88 .16 .89 104.73 1.91 .72 .14 1.89 .90 102.82 .58 .12 .91 100.93 1.88 .46 .11 .92 99.05 1.86 .35 .09 .93 97.19 1.84 .26 .08 .94 95.35 1.82 .18 .05 .95 93.53 1.81 .13 .03 .96 91.72 1.79 .10 -.02 .97 89.93 1.77 .08 .00 .98 88.16 1.76 .08 +.02 .99 86.40 -1.73 .10 +.03 1.00 84.67 .13 107 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122".l sin. I + 2371".0 sin. 2t -f 0".9 sin. 3t -f 14".4 sin. 4<. Period, 29.530587997 days. Days. O 1 3 • 4 S uf a Day. Equation. Diff. Equation. Diff. Equation. MB Equation. Diflr. Equation. Diff Equation. Dim .00 2211.80 10.42 3243.69 9.91 4133.61 7.61 4723.41 3.98 4913.02 0.28 4676.85 4.41 .01 2222.22 10.42 3253.60 989 4141.22 7.58 4727.39 3.94 4912.74 0.32 4673.44 4.44 .02 2232.6 1 10.42 3263 i!) 9.87 4148.80 7.55 4731.33 3.91 4912.42 0.36 1668.00 4.48 .03 2243.06 10.43 3273.36 9.85 4156.35 7.51 4735.24 3.86 4912.06 0.40 1663.52 4.52 .04 2253.49 10.43 3283.21 9.84 4163.86 7.48 4739.10 3.82 4911.66 0.45 4659.00 4.55 .05 2263.92 10.44 3293.05 9.83 4171.34 7.45 4742.92 3.78 4911.21 0.49 4654.45 4.59 .06 2274.36 10.44 3302.88 9.81 4178.79 7.42 17 16.70 3.71 4910.72 0.54 4648.86 4.63 .07 2284.80 10.44 3312.69 9.80 4186.21 7.39 4750.44 3.70 4910.18 0.58 4645.23 4.67 .08 2295.24 10.45 3322.49 9.78 4193.60 7.36 4751.11 3.66 4909.60 0.62 1640.56 4.70 .09 2305.69 10.44 3332.27 9.76 4200.96 7.33 4757.80 3.62 4908.98 0.66 4686.86 4.74 .10 2316.13 10.45 3342.03 9.74 4208.29 7.30 4761.42 3.57 4908.32 0.71 4631.12 4.78 .11 2326.58 10.45 3861.77 9.73 4215.59 7.26 4764.99 3.52 4907.61 0.75 4626.34 4.82 .12 2337.03 10.46 3361.50 9.71 4222.85 7.23 4768.51 3.49 4906.86 0.79 4621.52 4.85 .13 2317.1!) 10.46 3371.21 9.70 4230.08 7.19 4772.00 3.45 4906.07 O.HI 4616.67 4.89 .14 2357.95 10.45 3380.91 9.68 4237.27 7.16 4775.45 3.41 4905.23 0.88 4611.78 4.93 .15 2368.40 10.46 3390.59 9.66 4244.43 7.13 4778.86 3.37 4904.35 0.92 4606.85 4.97 .16 2378.86 10.47 3 100.25 9.65 4251.56 7.11 4782.23 3.32 4903.43 0.96 4601.88 5.00 .17 2389.33 10.46 3409.90 9.63 4258.67 7.06 47S5.55 3.29 4902.47 1.01 4596.88 5.0 1 .18 2399.79 10.46 3419.53 9.61 4265.73 7.04 4788.84 3.2 1 4901.46 1.05 4591.84 5.07 .19 2410.25 10.46 3429.14 9.59 4272.77 7.00 4792.08 3.20 4900.41 1.10 4486.77 5.11 .20 2420.71 10.46 3438.73 9.57 4279.77 6.97 4795.28 3.16 4899.31 1.13 4581.66 5.15 .21 2431.17 10.47 3448.30 9.56 4286.74 6.93 4798.44 312 4898.18 1.18 4576.51 5.19 .22 2441.64 10.47 3i:>7.s6 9.54 4293.67 691 4801.56 3.07 4897.00 1.23 4571.32 5.22 .23 2452.11 10.47 3467.40 9.52 4300.58 6.87 4804.63 3.03 4895.77 1.26 1566.10 5.25 .24 2462.58 10.46 3476.92 9.50 4307.45 6.84 4807.66 2.99 4894.51 1.32 4560.85 5.30 .25 2473.04 10.47 3486.42 9.48 4314.29 6.80 4810.65 2.95 4893.19 1.35 4SS5.55 5.33 .26 2IS3.51 10.47 3495.90 9.46 4321.09 6.77 4813.60 2.91 4891.84 1.39 4560.22 5.36 .27 2493.98 10.46 3505 30 9.44 4327.86 6.73 4816.51 2.86 1890.45 1.43 4544.86 5.40 .28 2504.44 10.46 3514.80 9.43 4334.59 6.70 4819.37 3.83 4889.02 1.48 •1539. 16 5.43 .29 2514.90 10.46 3524.23 9.40 4311.29 6.67 4822.19 2.79 4887.54 1.52 4*84.03 5. 17 .30 2525.36 10.46 3533.63 9.39 43 17.96 6.63 4824.98 2.74 4886.02 1.56 4528.56 5.51 .31 2535.82 10.46 3543.02 9.37 1351.59 6.60 4827.72 2.69 4884.46 161 4523.05 5.54 .32 2646.28 10.46 3662,39 9.34 4361.10 6.56 4830.41 2. (if) 4882.85 1.65 1*17.51 5.57 .33 2556.74 10.46 3561.73 9.32 4367.76 6.52 4833.06 2.62 4881.20 1.69 4511.94 5.61 .34 2567.20 10.45 3571.05 9.31 4374.27 6.49 4835.68 2.57 4879.51 1.73 4506.33 5.65 .35 2577.65 10.45 3580.36 9.28 13s().7(i 6.46 4838.25 2.52 4877.78 1.77 4000.68 5.68 .36 2588.10 10.45 3589.64 9.26 I3S7.22 6.43 is 10.77 2. IN 4876.01 1.82 4496.00 5.72 .37 2598.55 10.45 3698.90 !».2I 4393.616 6.39 4848.25 2.44 4874.19 1.86 1 IS9.2S 5.7 1 .38 2609.00 10.44 36os.i i 9.22 4400.04 6.35 4845.69 2. 10 4872.33 1.90 4488.54 5.79 .39 2619.44 10.44 3617.36 9.20 4406.39 6.32 4848.09 2.36 4870.43 1.94 4477.75 5.82 .40 2629.88 10.44 3626.56 9.18 1112.71 6.28 4850.45 2.31 4868.49 1.98 4471.93 5.85 .41 2610.32 10.43 3635.71 9.16 11 ls.it!) 6.25 4852.76 2.27 1866.51 2.03 1466.08 5.N9 .42 2650.75 10.43 36111)0 9.14 1 12.-..2 1 6.21 4855.03 2.23 1864.48 2.07 1460.19 5.92 .43 2661.1s 10.13 3<;;>i.oi 9.11 1431.45 6.1N 4857.26 2.19 1862.41 2.11 1454.27 5.95 .44 2671.61 10.43 3863.15 9.09 1 137.63 6.14 4859.45 2.14 4860.30 2.15 1 1 1S.32 5.99 .45 2682.01 10 12 3672.24 9.07 1113.77 6.10 4861.59 2.10 1868.16 2.20 1 1 12.33 6.02 .46 261)2,16 10.41 36s 1.31 i'.or, 1 1 I9.N7 6.07 4863.69 2.06 l.s:,5.!i:. 2.21 1136.31 0.06 .47 2702. N7 10.41 361)036 9.03 1455.94 6.03 4865.75 2.01 1853.71 2.27 4480.25 6.09 .48 2713.2N 10.40 3(iil!l.39 9.00 4161.97 5.9!) 4867.76 197 IN.", Ml 2.32 1121.16 6.13 .49 2723.6s 10.10 370S.3!) 8.97 1467.96 5.95 1869.78 1.02 IN 10. 12 2.37 II IN. 03 6.16 .50 273 l.( is 10.10 3717.36 8.95 1173!)! 5.93 4871.66 1.89 1846.75 2.41 4411.87 6.19 ION TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122".l sin. t -f- 2371".0 sin, 2« -f- 0".9 sin. 3t -j- 14".4 sin. 4«. Period, 29.530587997 days. Days. O 1 2 3 4 S Decimals of a Day Kqualion DiflT. Equation. DilT. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. .50 2734.08 10.40 3717.36 8.95 4173.91 5.93 4871.65 1.89 . 4846.75 2.41 441187 6.19 .51 2744.48! 10.3!) 3726.31 8.93 4179.84 5.88 4873.54 1.84 4844.34 2.44 4405.68 6.22 .52 2754.87 j 10.39 3735.24 8.91 4485.72 5.85 4875.38 1.80 4841.90 2.49 4399.46 6.26 .53 276526 10.3H 3744.15 8.89 4491.57 5.81 4877.18 1.76 4839.41 2.53 4393.20 6.28 .51 2775.61 10.37 3753.01 8.86 4197.38 5.78 4878.94 1.71 4836.86 2.57 4386.92 6.32 .55 2786.01 10.37 3761.90 8.84 4503.16 5.74 4880.65 1.67 4834.31 2.61 4380.60 6.35 .56 2796.38 10.37 3770.71 8.81 4508.SO 5.70 4882.3-2 1.63 4831.701 2«5 4374.25 6.39 .57 2806.75 , 10.35 3779.55 8.79 4514.60 5.67 4883.95 1.59 4*29.05' 2.70 4«67.86 6.42 .58 2817.10 10.35 3788.34 8.77 4520.27 5.62 4885.54 1.51 4826.35 2.73 4361.44 6.45 .59 2827.45 10.34 3797.11 8.74 4525.89 5.59 4887.08 1.50 4823.62 2.77 4354.99 6.48 .60 2837.79 10.33 3805.85 871 4531.48 5.56 4888.58 1.45 4820.85 2.82 4348.51 651 .61 2848.12 10.33 3814.56 8.68 4537.04 5.50 4890.03 1.41 4818.03 2.86 4342.00 6.55 .62 2858.45 10.32 3823.24 8.67 4542.54 5.48 4891.44 1.37 4815.17 2.90 4335.45 658 .63 2868.77 10.31 3831.91 8.64 4518.02 5.44 4892.81 1.33 4812.27 2.93 4328.87 661 .64 2879.08 10.30 3810.55 8.62 4553.46 5.40 4894.14 1.28 4809.31 2.98 4322.26 6.64 .65 2889.38 10.30 3849.17 8.59 4558.86 5.36 4895.42 1.23 4806.36 3.03 4315.62 6.67 .66 2899.68 10.29 3857.76 8.57 456 t.22 5.33 4896.65 1.20 4803.33 3.07 4308.95 6.71 .67 2909.97 10.28 3866.33 8.51 4560.55 5.29 4897.85 1.15 4800.26 3.10 4302.24 6.73 .68 2920.25 10.28 3874.87 8.51 4571.84 5.25 4899.00 1.11 4797.16 3.14 4295.51 6.76 .69 2930.53 10.26 3883.38 8.49 4580.09 5.21 4900.11 1.07 4794.02 3.18 4288.75 6.80 .70 2940.79 10.25 3891.87 8.46 4585.30 5.17 4901.18 1.02 4790.84 3.23 4281.95 6.83 .71 2951.04 10.25 3900.33 8.43 4590.47 5.13 4902.20 0.98 4787.61 3.26 4275.12 6.86 .72 2961.29 10.24 3908.76 8.41 4595.60 5.10 4903.18 0.94 4784.35 3.30 4268.26 6.89 .73 2971.53 10.22 3917.17 8.38 4600.70 5.06 4904.12 0.89 4781.05 3.35 4261.37 6.92 .74 2981.75 10.21 3925.55 8.35 4605.76 5.01 4905.01 0.85 4777.70 3.38 4254.45 6.96 .75 2991.96 10.20 3933.90 8.33 4610.77 4.98 4305.86 0.81 4771. 32 3.43 4247. 19 6.98 .76 3002.16 10.19 3942.23 8.30 4615.75 4.94 4906.67 0.76 4770.89 3.46 4240.51 7.01 .77 3012.35 10.18 3950.53 8.27 4620.69 4.90 4907.43 0.72 4767.43 3.51 4233.50 7.04 .78 3022.53 10.17 3958.80 g.25 4625.59 4.S1 400R15 0.68 4763.92 3.54 4226.46 7.07 .79 3032.70 10.16 3967.05 8.22 4630.45 4.83 4908.83 0.64 4760.38 3.58 4219.39 7.09 .80 3042.86 10.16 9975.97 8.19 4635.°8 4.79 4909.47 0.59 475^.80 3.6"? 4212.30 7.13 .81 3053.02 10.15 3983. l:j 8.16 4610.07 4.71 4910.06 (,.54 4753.17 366 4205.17 7.16 .82 3063.17 10.14 3991.62 8.13 4644.81 4.71 4910.60 0.50 4749.51 3.71 4198.01 7.19 .83 3073.31 10.13 3999.75 8.11 4649.52 4.66 4911.10 0.46 4745.80 3.75 4190.82 7.22 .84 3083.44 10.12 4007.86 8.08 4654.18 4.63 4911.56 0.41 4742.05 3.78 4183.60 7.24 .85 3093.56 10.10 4015.94 8.04 4658.81 4.59 4911.97 0.37 4738.27 3.82 4176.36 7.27 .86 3103.66 10.09 4023.98 8.02 4663.40 4.54 4912.34 0.34 4734.45 3.86 4169.09 7.30 .87 3113.75 10.07 4032.00 7.99 4667.94 4.51 4912.68 0.29 4730.59 3.90 4161.79 7.33 .88 3123.82 10.06 4039.99 7.97 4672.45 4.46 4912.97 0.24 4726.69 3.94 4154.46 7.36 .89 3133.88 10.05 4047.96 7.93 4676.91 4.43 4913.21 0.20 4722.75 3.98 4147.10 7.39 .90 3143.93 10.03 4055.89 7.91 4681.34 4.39 4913.41 0.15 4718.77 4.02 4139.71 7.42 .91 3153.96 10.03 4063.80 7.88 4685.73 4.35 4913.56 0.12 4714.75! 4.06 4132.29 744 .92 3163.99 10.01 4071.68 7.85 4690.08 4.31 4913.68 0.07 4710.69 4.09 4124.85 7.47 .93 3174.00 10.00 4079.53 7.81 4694.39 4.26 4913.75 0.03 4706.60 4.13 4117.38 7.50 .94 3184.00 9.99 4087.31 7.79 4698.65 4.23 4913.78 0.02 4702.47 4.17 4109.88 7.52 .95 3193.99 9.97 4095.13 7.76 4702.88 4.19 4913.76 0.06 4698.30! 4.21 4102.36 7.56 .96 3203.96 9.96 4102.89 7.73 4707.07 4.15 4913.701 0.10 4694.09 4.26 1091.80 7.58 .97 3213.92 9.94 4110.62 7.70 4711.22 4.10 4913.60 0.15 4689.83 4.29 4087.22 7.60 .98 3223.86 9.92 4118.32 7.66 4715.32 4.07 4913.45 0.19 4685.54 4.32 4079.62 7.65 .99 3233.78 9.91 4125.98 7.63 1719.39 4.02 4913.26 0.21 4681.22 4.37 4071.97 7.67 1.00 3343.69 9.91 4133.61 7.61 4723.41 3.98 4913.02 0.28 4676.85 4.41 4064.30 7.69 1 109 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122".l sin. t + 2371".0 sin. 2< + 0".9 sin. 3t -f 14".4 sin. 4<. Period, 29.530587997 days. Days. 6 7 8 9 1O 11 Decimals of a Day. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Did Equation. Diff. .00 4064.30 7.69 3187.42 9.62 2199.82 9.86 1271.82 8.41 563.98 5.50 201.50 1.59 .01 4056.61 7.71 3177.80 9.62 2189.96 9.85 1263.41 8.39 558.48 5.47 199.91 1.56 .02 4048.90 7.75 3168.18 9.63 2180.11 9.85 1255.02 8.37 553.01 5.43 198.35 1.51 .03 4041.15 7.77 3158.55 9.64 2170.26 9.84 1246.65 8.35 547.58 5.40 196.84 1.47 .04 4033.38 7.79 3148.91 9.65 2160.42 9.83 1238.30 8.32 5 12. IN 5.36 195.37 1.43 .05 4025.59 7.82 3139.26 9.66 2150.59 9.83 1229.98 8.30 536.82 5.32 193.94 1.38 .06 4017.77 7.85 3129.60 9.67 2140.76 9.82 1221.68 8.28 531.50 5.29 192.56 1.35 .07 4009.92 7.88 3119.93 9.68 2130.94 9.81 1213.40 8.25 526.21 5.25 191.21 1.30 .08 4002.04 7.90 3110.25 9.69 2121.13 9.80 1205.15 8.23 520.96 5.22 189.91 1.26 .09 3994.14 7.92 3100.56 9.70 2111.33 9.80 1 196.92 8.21 515.74 5.18 188.65 1.21 .10 3986.22 7.95 3090.86 9.71 2101.53 9.79 1188.71 8.18 510.56 5.15 187.44 1.18 .11 3978.27 7.97 3081.15 9.72 2091.74 9.78 1180.53 8.16 505.41 5.11 186.26 1.13 .12 3970.30 8.00 3071.43 9.72 2081.96 9.78 1172.37 8.14 500.30 5.07 185.13 1.09 .13 3962.30 8.03 3061.71 9.74 207-'. IS 9.76 1164.23 8.11 495.23 5.04 184.04 1.05 .14 3954.27 8.05 3051.97 9.75 2062.42 9.76 1156.12 8.09 490.19 5.00 182.99 1.00 .15 3946.22 8.07 3042.22 9.75 2052.66 9.75 1148.03 8.06 485.19 4.97 181.99 0.95 .16 3938.15 8.10 3032. 17 9.76 2042.91 9.74 1139.97 8.04 480.22 4.92 181.01 0.92 .17 3930.05 8.13 3022.71 9.77 2033.17 9.73 1131.93 8J31 175.30 4.89 180.12 0.88 .18 3921.92 8.14 3012.94 9.78 2023.44 9.72 112392 7.99 470.41 4.86 179.24 0.84 .19 3913.78 8.17 3003.16 9.79 2013.72 9.71 1115.93 7.96 465.55 4.82 178.40 0.79 .20 3905.11! 8.20 2993.37 9.80 2004.01 9.71 1 107.97 7.94 460.73 4.78 177.61 0.75 .21 3897.41 8.22 2983.57 9.80 1994.30 9.69 1100.03 7.91 455.95 4.74 176.86 0.71 .22 3SN1U9 8.21 2979.77 9.81 1984.61 9.68 10112.12 7.89 451.21 4.71 176.15 0.67 .23 3880.95 8.27 2963.96 9.82 1974.93 9.68 1084.23 7.86 446.50 4.67 175.48 0.62 .24 3872.68 8.29 2954.14 9.82 1965.25 9.66 1076.37 7.83 441.83 4.62 174,86 0.58 .25 3864.39 8.31 2944.83 983 1955.59 9.65 lOfiS.51 7.80 437.22 4.59 17428 0.5 1 .26 385608 8.34 2934.49 9.84 1945.94 9.65 1060.74 7.80 432.62 4.56 173.71 0.50 .27 3817.74 8.36 292 1.65 9.85 1936.29 9.63 1052.91 7.75 428.06 4.52 173.24 0.45 .28 3839.38 8.38 2914.80 9.85 1926.66 9.62 1015.1!) 7.71 423.54 4.48 172.79 0 12 .29 3831.00 8.40 2904.95 9.85 1917.04 9.61 1037. 15 7.70 419.06 4.45 172.37 0.36 .30 3822.60 8.43 2895.10 9.87 1907.43 9.60 1029.75 7.68 414.61 4.40 17201 0.33 .31 :is||.i7 s. i:. 2885.23 9.87 189743 9.58 1022.07 7.65 410.21 4.37 1 71.68 0.28 .32 3*05.72 8.47 2875.86 9.87 LNNK.25 9.58 101 1.12 7.62 405.8 4 4.33 171.40 0.24 .33 3797.25 8.50 2MI5. 1!) 9.88 1N7S.67 9.56 1006.80 7.60 401.51 4.30 171.16 0.20 .34 3788.75 8.51 2855.61 9.89 1869.11 9.56 999.20 7.57 397.21 4.25 170.96 0.15 .35 3780 24 8.53 2845.72 9.89 1859.55 !).:>! 991.63 7.51 392.96 4.22 170.81 0.12 .36 1177 1 .7 I f*.5(i 2S35.83 9.90 1850.01 9.53 984.09 7.52 3SS.7 1 4.18 170.69 0.07 .37 37<;:».i5 ,s.5* 2825.93 9.90 1840.48 9.5) 976.57 7.49 38456 '4.14 170.62 0.08 .38 3754JP7 8.60 2816.03 9.91 1831.97 9.50 iKiil.Os 7. Hi :i.so. 12 4.10 170.5!) 0.02 .39 ::7 »5.!i7 8.62 2806.12 9.9 1 1821.47 D.ll) 961.62 7.43 376.32 4.06 170.61 0.05 .40 3787.35 8.65 2796.21 9.92 1811.98 9.48 954.19 7.40 372.26 4.02 170.66 0.10 .41 372S.70 fvfii; 27N6.2!» !) !)2 L 802.60 !). 17 946.79 7.38 3GN.2 1 3.99 170.76 0.14 .42 3720.01 Nil- 2776.37 9.92 1793.03 9.45 939.41 7,85 3(i 1.25 8.95 170.90 0.19 .i:t 3711.36 8.70 27i;ii 15 9.93 1783.58 it. 11 932.06 7.: 12 360.30 3.90 171.09 0.23 .44 3702.66 8.73 2756.52 9.93 1771.11 9.43 924.74 7.2!) ;{5(i. ID 8.87 171.32 0.27 .15 S69&93 8.75 •.'-, i-;.-," 9.93 1764.71 9.41 917.45 7.2(1 852.58 3.s:i 171.59 0.31 .46 3685.18 8.71 27.-f6.d6 9.94 1755.30 9.40 910.19 7 .23 31N.70 3.80 171.90 0.35 .47 3676.41 8.78 2726.72 9.94 1715.HO 9.3s 902.96 7.21 344.90 3.75 172.25 0 10 .48 3667.63 8.81 2716.78 9.94 173fi 52 9.36 895.75 7.17 841.15 3.70 172.65 0. 15 .49 3658.82 8.83 2706.84 9.115 1727.16 9.35 888.58 7.11 3:17. 15 3.67 173.10 0.49 .50 3649.99 8.81 2696.89 !l !I5 1717.81 9.85 881.44 7.12 833.78 8.64 173.5!) 0.52 110 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122 '.1 sin. t -f 2371".0 sin. 2« -f 0".9 sin. 3t -f 14 '.4 sin. 4f. Period, 29.530587997 days. Days. 6 7 8 9 10 11 Decimals of a Day. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff ii n it K n .50 3649.99 8.84 2696.89 9.95 1717.81 9.35 881.44 7.12 333.78 3.64 173.59 0.52 .51 3641.15 8.87 2686.94 9.95 1708.46 9.32 874.32 7.09 330.14 3.59 174.11 0.57 .52 3632.28 8.88 2676.99 9.96 1699.14 9.31 867.23 7.05 326.55 356 174.68 0.61 .53 36-23.40 8.90 2667.03 9.95 1689.83 9.30 860. 18 7.03 322.99 3.51 175.29 0.65 .54 3614.50 8.92 2657.08 9.96 1680.53 9.28 853.15 7.00 319.48 3.48 175.94 0.70 .55 3605.58 8.94 2647.12 9.96 1671.25 9.27 846.15 6.97 316.00 3.44 176.64 0.74 .56 3596.6 1 8.96 2607.16 9.96 1661.98 9.'25 839.18 6.94 312.5! 3.10 177.38 0.78 .57 3587.68 8.97 26-27.20 996 1652.73 9.23 832.2 1 6.91 309. l(i 3.35 178.16 0.82 .58 3578.71 8.99 2617.24 9.97 1643.50 9.22 825.33 6.88 305.81 3.32 178.98 0.86 .59 3569.72 9.01 2607.27 9.96 1634.28 9.21 818.45 6.85 302.49 3.28 179.84 0.92 .60 3560.71 9.03 2597.31 9.97 1625.07 9.18 811.60 6.81 299.21 3.24 180.76 0.95 .61 3551.68 9.05 2587.34 9.96 1615.89 9.17 804.79 6.79 29597 3.20 181.71 0.99 .62 3542.63 9.06 2577.38 9.97 1606.72 9.16 798.00 6.76 292.77 3.15 182.70 1.04 .63 3533.57 9.08 2567.41 9.97 1597.56 9.14 791.24 6.72 289.62 3.12 183.74 1.08 .64 3524.49 9.10 2557.44 9.97 1588.42 9.12 784.52 6.70 286.50 3.08 184.82 1.12 .65 3515.39 9.12 2547.47 9.96 1579.30 9.10 777.82 6.66 283.42 3.03 185.94 1.17 .66 3506.27 9.13 2537.51 9.97 1570.20 9.09 771.16 6.63 280.39 2.99 187.11 1.21 .67 3497.14 9.15 2527.54 9:97 15Sj.ll 9.07 764.53 6.60 277.40 2.96 188.32 1.25 .68 3487.99 9.16 2517.57 9.97 1552.04 9.06 757.93 6.57 274.44 2.92 189.57 1.29 .69 3478.83 9.18 2507.60 9.96 1542.98 9.03 751.36 6.54 271.52 2.87 190.86 1.33 .70 3469.65 9.20 2497.64 9.97 1533.95 9.02 744.82 6.50 268.65 2.84 192.19 1.38 .71 3460,45 9.21 2487.67 9.96 1524.93 9.00 738.32 6.48 265.81 2.78 193.57 1.42 .72 3451.24 9.23 2477.71 9.97 1515.93 8.98 731.84 6.44 263.03 2.76 194.99 1.46 .73 3442.01 9.25 2467.74 9.96 1506.95 8.97 725.40 6.41 260.27 2.71 196.45 1.50 .74 3432.76 9.26 2457.78 9.96 1497.98 8.94 718.99 6.38 257.56 2.68 197.95 1.55 .75 3423.50 9.28 2447.S2 9.96 1489.04 8.93 712.61 6.35 25 1.88 2.53 19i .50 1.58 .76 3414.22 9.29 2437.86 9.95 1480.11 8.91 706.26 6.31 252.25 2.58 201.08 1.63 .77 3404.93 9.31 2427.91 9.96 1471.20 8.89 699.95 6.27 249.67 2.54 202.71 1.69 .78 3395.62 9.32 2417.95 £.95 116:31 8.^7 093.68 ' fi.24 247.13 2.52 204.40 1.70 .79 3386.30 9.33 2408.00 9.95 1453.44 8.85 687.44 6.22 244.61 2.47 206.10 1.75 .80 3376.97 9.35 239S.05 995 1444.59 8.83 681.22 6.18 249.14 2.4r: 207.85 1.80 .81 3367.62 9.37 23S8.10 9.95 1435.7J 8.81 675.04 6.15 23;,. 71 2.37 209.65 1.84 .82 3358.25 9.38 2378.15 9.94 1426.95 8.80 668.89 6.12 237.34 2.34 211.49 189 .83 3348.87 9.39 2368.21 9.93 1418.15 8.77 662.77 6.08 235.00 2.31 213.38 1.93 .84 3339.48 9.41 2358.28 9.94 1409.38 8.75 656.69 6.05 232.69 2.26 215.31 1.97 .85 333007 9.42 2348.34 9.93 1400.63 8.74 650.64 6.02 230.43 2.22 217.28 2.00 .86 3320.65 9.43 2338.41 9.93 1391.89 8.71 644.62 5.98 228.21 2.18 219.28 2.05 .87 3311.22 9.45 2328.48 9.92 1383.18 8.69 638.64 5.95 226.03 2.13 221.33 2.10 .88 3301.77 9.46 2318.56 9.92 1374.49 8.67 632.69 5.91 223.90 2.10 223.43 2 13 .89 3292.31 9.47 2308.64 9.92 1365.82 8.65 626.78 5.88 221.80 2.05 225.56 2.18 .90 3282.84 9.49 2298.72 9.91 1357.17 8.64 620.90 5.85 219.75 2.02 227.74 2.21 .91 3273.35 9.50 2288.81 9.91 1348.53 8.61 615.05 5.82 217.73 1.97 229.95 226 .92 3263.85 9.51 2278.90 9.90 1339.92 8.58 609.23 5.77 215.76| 1.93 232.21 2.30 .93 3254.34 9.52 2269.00 9.90 1331.34 8.57 603.46 5.75 213.83 1.88 234.51 2.34 .94 3244.82 9.54 2259.10 9.89 1322.77 8.55 597.71 5.71 211.95 1.85 236.85 2.39 .95 3235.28 9.55 2249.21 9.89 1314.22 8.52 592.00 5.68 210.10 1.81 239.24 2.42 .96 3225.73 9.56 2239.32 9.88 1305.70 8.51 586.32 5.64 208.29 1.76 241.66 2.47 .97 3216.17 9.57 2229.44 9.88 1297.19 8.48 580.68 5.60 206.53 1.72 244.13 2.51 .98 3206.60 9.58 2219.56 9.87 1288.71 8.46 575.08 557 204.81 1.68 246.64 2.55 .99 3197.02 9.60 2209.69 9.87 1280.25 8.43 569.51 5.53 203.13: 1.63 249.19 2.60 1.00 3187.42 9.62 2199.82 9.86 1271.82 8.41 563.98 5.50 201.50 1.59 251.79 2.63 111 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122".l sin. / -f 2371".0 sin. 2t + 0".9 sin. 3/ -f 14".4 sin. Period, 29.530587997 days. Days. 19 13 14 IS 16 17 Decimal's ufa Day. Equation. Diff. Equation Diff Equation. Diff. Bqtwtion. Dilf. Equation. Diff Equation. Diir. .00 251.79 2.63 709.32 6.41 1492.67 9.03 2457.02 9.96 348 L36 9.02 1201.72 6.39 .01 254.42 2.67 715.73 6.45 1501.70 9.05 2466.98 9.95 3430.38 9.00 1211.11 0.34 .02 257.09 2.72 722.18 6.48 1510.75 9.06 2476.93 9.96 3i3!).:ts 8.97 4217.45 6.32 jQ8 259.81 2.75 728.66 6.62 1519.81 9.09 2486.89 !).!).-> :i 1 IH.35 8.96 1223.77 6.28 .04 262.56 2.80 735.18 6.51 1528.90 9.10 2496.84 9.96 3157.31 8.93 4230.05 6.25 .05 265.36 2.84 741.72 6.58 1538.00 9.12 2506.80 9.95 3166.24 8.92 4236.30 6.22 .06 268.20 2.88 748.30 6.62 1517.12 913 2516.75 9.95 :!i7r>.ifi 8.91 12 12.52 6.18 .07 271.08 2.92 754.92 6.64 1556.25 9.16 2686.70 9.96 3184.07 8.86 1218.70 (i.15 .08 274.00 2.96 761.56 6.68 1565.41 9.17 2536.66 9.95 '3l!)2.93 8.86 1254.85 6.11 .09 276.96 3.01 768.24 6.70 1574.58 9.18 2516.61 9.91 3501.79 8.85 4260.96 6.08 .10 279.97 3.05 774.94 6.74 1583.76 9.21 2556.55 9.95 3510.61 8.81 4267.01 0.01 .11 283.02 3.09 781.68 6.78 1592.97 9.23 256&50 9.95 3319.45 8.80 127:5.08 6.01 .12 286.11 3.12 788.46 6.81 1602.20 9.24 2576.45 9.95 3528.25 8.78 4279.09 5.98 .13 289.23 3.17 795.27 6.83 1611.44 9.25 2586.40 9.9 1 :!.->:{7.o:5 8.75 12Sf..()7 5.94 .14 292.40 3.21 802.10 687 1620.69 9.27 2596.34 9.93 :!.-. 15.7s 8.74 4291.01 5.91 .15 295.61 3.25 808.97 6.90 1629.96 9.28 2606.27 9.94 3554.52 8.71 4296.92 5.88 .16 298.86 3.2S 815.87 6.93 1639.24 9.31 2616.21 9.93 3583.23 8.70 1302.80 5.8 1 .17 302.14 &aa 822.80 6.96 1648.55 931 2686,14 9.93 357 1.93 8.67 1308.64 5. SO .18 :«):>. n 3.37 829.76 6.99 1657.86 !).33 26:56.07 !).!»:! 3580.60 8.65 131 1.11 5.76 .19 308.84 3.41 836.75 7.02 1667.19 9.35 2646.00 9.92 3589.25 8.61 4320.20 5.73 .20 312.25 3.46 843.77 7.05 1676.54 9.36 2655.92 9.91 3597.89 8.61 1325.93 5.70 .21 31571 :i. ID 850.82 708 1685.90 9.3N 2665.83 932 3606.50 8.58 1331.63 5.00 .22 319.20 3.53 857.90 7.12 1695.28 9.39 2675.75 991 3616.08 S.:,7 1337.29 5.63 SB 322.73 :i.r>7 865.02 7.11 1704.67 9.41 2685.66 990 3623.65 $.53 4342.92 :>..» .24 326.30 3.62 872.16 7.18 1714.08 9.42 2695.56 9.91 3632.18 8.53 i:iis.r>(i 5.56 .25 329.92 3.65 879.34 7.21 1723.50 9.44 2705,17 9.90 3640J1 8.49 1354.06 5.52 .26 :t:i:5..r>7 3.69 886.55 7.23 17:52.!) 1 a.45 2715.37 9.89 364920 8.48 4359.58 5, IS an 337.26 8.73 893.78 7.26 1712.:5() 9.46 2725.26 9.89 3657.68 8.45 436506 5.44 .28 310.99 3.77 901.01 7.30 1751.85 9.47 27:55.15 9.88 3066 13 8.43 4370.50 5. 1 1 .29 844.96 3.81 908.34 7.32 1761.32 !).!!) 2715.03 9.87 307 1.56 8.41 4375.91 5.37 .30 348.57 3.85 915.66 7.35 1770.81 9.50 2754.90 9.87 3682.97 8.38 1381.28 5.3 1 .31 352. 12 &89 933.01 7.:iN 1780,31 9.52 276 1.77 9.86 3091.35 s:i(| 4386.63 5.30 .32 356.31 3.93 930.39 7.41 178953 9.52 2771.fi:! 9.86 :50!)!).7l s.:»:i 1391.95 5.27 .:5:{ 360.24 3.97 937.88 7.11 1799.36 9.54 2784.49 9.85 3708.01 8.31 1397.19 5 23 .31 364.21 4.01 !) 15.2 I 7.KJ 1808.89 9.56 2794.34 9.80 3716.35 8.29 4402.42 5.1!) .35 368.22 4.06 952.70 7.80 lsis.tr, 9.57 2801.18 9.84 3721. Cl 8.26 4407.61 5 15 .36 872.26 4.09 960.20 7.r>:{ 1828.03 !>..->s 2SI 1.02 9.s:s 3732.!K) s.-.'| 1412.76 5.12 .37 :t70.:57 4.12 967.73: 7.56 1837.60 !i :,s 6.83 3711.11 8.21 1117. ss 5.0N .38 380.49 4.17 97659 7.58 1847.18 9.60 2833.68 9JS& 37»!».:!5 8.19 1422.96 5.0 1 .39 384.66 4.20 98&S7 7.61 1856.78 9.61 2843.50 9.81 15757.51 8.17 1 I2N.OO 5.01 .40 :;ss.86 L24 WO. is 7.63 1866.39 9.62 2853.ai 8.80 3765,71 8,14 4433.01 4.97 .41 3ii3 Id i.2s 9fl8.ll 7.67 1876.01 9.64 2803.ll !>.7i) :i77:i.sr, s.ll 1 137.98 4.98 .42 3i»7.38 Lie 1005.7s 7. (i!» 1885.65 9.64 2872i90 9.79 37S1.!I6 Mi:' 4442.91 1.89 .43 401.70 4.J6 101:5.17 7.72 iyi5.29 <).(;;, •Js-vj.Oi) !).77 :i7i)0.()5 8.06 1447.80 4.85 .44 406.0G I in 1021.19 7.7.-. 1904.94 9.67 2S!I2. 10 9.77 3796.11 5.04 1 152.05 4.82 .45 410.46 l.ll 102s.!>l 7.77 1914.61 9.67 2902.23 9.76 3806,15 s.dl tt.T7.17 4.78 .46 111.IM 1.17 1036.71 7. so 1!)212S 'Mill 2!) ll.il!) !).75 :!sn.i(i 7.9!) 1 102 25 4.74 .17 419.37 L52 Kill..-)! I!t:53.!i7 !).70 21)21.71 !l.71 :!s-r.M5 7. lit! M66.99 4.71 .48 123.8J 1.50 l o:,2.:t i l!ii:t.07 9.71 2!l31.ls «l.71 :5s:5().ll 7.93 1171.70 4.66 .49 \aa i: L.80 1000.111 7 Mi 1953.38 9.71 2!) 11. 22 !).7:i :!s:tsoi 7.H-2 1 170.150 4.64 .50 13344 t.63 lo:is.os 7.91 1963.09 9.7:5 2950.95 9.71 3845.96 7.ss 1 is !.()() 4.59 112 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122". 1 sin. t -f 2371".0 sin. 2t -J- 0".9 sin. 3t -}- 14".4 sin. 4«. Period, 29.530587997 days. Days. 13 13 14 15 16 17 Decimals of a Day. Equation. Diff. Equation. DM Eqaulon. Diff. Equation. Diff Equation. Diff. Equation. Diff. .50 433.04 4.63 1068.08 7.91 1963.09 9.73 2950.95 9.71 3845.96 7.88 4481.00 4.59 .51 437.67 4.66 1075.99 7.94 1972.82 9.73 2960.66 9.71 3853.84 7.85 4485.59 4.56 .52 4 12.33 4.71 1083.93 7.96 1982.55 9.74 2970.37 9.69 3861.69 7.83 4490.15 4.51 .53 447.04 4.74 1091.89 7.98 1992.29 9.76 2980.06 9.69 3869.52 7.80 4494.66 4.47 .54 451.78 4.78 1099.87 8.01 2002.05 9.76 2989.75 9.67 3877.33 7.77 4499.13 4.44 .55 456.56 4.82 1107.88 8.04 2011.81 9.76 2999.42 9.67 3885.10 7.74 4503.57 4.40 .56 461.38 4.85 1115.92 8.06 2021.57 9.78 3009.09 9.65 3892.84 7.72 4507.97 4.36 .57 466.23 4.89 1123.98 8.09 2031.35 9.78 3018.74 9.65 3900.56 7.69 4512.33 4.32 .58 471.12 4.93 1132.07 8.12 2041.13 9.80 3028.39 9.63 3908.25 7.67 4516.65 4.28 .59 476.05 4.97 1140.19 8.14 2050.93 9.80 3038.02 9.62 3915.92 7.63 4520.93 4.24 .60 481.02 5.01 1148.33 8.16 2060.73 9.81 3047.64 9.61 3923.55 7.61 4525.17 4.21 .61 486.03 5.04 1156.49 8.19 2070.54 9.82 3057.25 9.60 3931.16 7.59 4529.38 4.17 .62 491.07 5.08 1164.68 8.22 2080.36 9.82 3066.85 9.60 3938.75 7.56 4533.55 4.13 .63 496.15 5.10 1172.90 8.23 2090.18 9.83 3076.45 9.58 3946.31 7.52 4537.68 4.08 .64 501.25 5.17 1181.13 8.26 2100.01 9.84 3086.03 9.56 3953.83 7.50 4541.76 4.05 .65 506.42 5.20 1189.39 8.29 2109.85 9.84 3095.59 9.55 3961.33 7.47 4545.81 4.01 .66 511.62 5.23 1197.68 8.31 2119.69 9.85 3105.14 9.54 3968.80 7.43 4549.82 3.97 .67 516.85 5.26 1205.99 8.33 2129.54 9.86 3114.68 9.53 3976.23 7.41 4553.79 393 .68 522.11 5.30 1214.32 836 2139.40 9.86 3124.21 9.51 3983.64 7.38 4557.72 3.89 .69 527.45 5.32 1222.68 8.39 2149.26 9.87 3133.72 9.50 3991.02 7.35 4561.61 3.85 .70 532.77 5.35 1231.07 8.41 2159.13 9.87 3143.22 9.49 3998.37 7.33 4565.46 3.81 .71 533.12 5.41 1239.48 8.42 2169.00 9.88 3152.71 9.47 4005.70 7.29 4569.27 3.77 .72 513.53 5.44 1247.90 8.46 2178.88 9.89 3162.18 9.46 4012.99 7.26 4573.04 3.73 .73 54S.97 5.49 1256.36 8.47 2188.77 9.90 3171.64 9.45 4020.25 7.23 4576.77 3.69 .74 554.46 5.51 1264.83 8.50 2198.67 9.90 3181.09 9.44 4027.48 7.21 4580.46 3.66 .75 559.97 5.5fi 1273.33 8.52 2208.57 9.90 3190.53 9.43 4034.69 7.18 4584.12 3.61 .76 565.53 5.59 1281.85 8.54 2218.47 9.90 3199.96 9.40 4041.87 7.14 4587.73 3.57 .77 571.12 5.62 1290.39 8.56 2228.37 9.91 3209.36 9.39 4049.01 7.12 4591.30 3.54 .78 576.74 5.66 1298.95 8.59 2238.28 9.91 3218.75 9.38 4056.13 7.08 4594.84 3.49 .79 582.40 5.70 1307.54 8.61 2248.19 9.92 3228.13 9.36 4063.21 7.05 4598.33 3.45 .80 588.10 5.73 1316.15 8.63 2258.11 9.92 3237.49 9.35 4070.26 7.02 4601.78 3.41 .81 593.83 5.77 1324.78 8.65 2268.03 9.93 3246.84 9.33 4077.28 6.99 4605.19 3.37 .82 599.60 5.80 1333.43 8.68 2277.96 9.93 3256.17 9.32 4084.27 6.96 4608.56 3.33 .83 605.40 5.84 1342.11 8.69 2287.89 9.93 3265.49 9.30 4091.23 6.93 4611.89 3.29 .84 611.24 5.87 1350.80 8.71 2297.82 9.93 3274.79 9.28 4098.16 6.90 4615.18 3.25 .85 617.11 5.91 1359.51 8.74 2307.75 9.94 3284.07 9.27 4105.06 6.87 4618.43 3.20 .86 623 02 5.94 1368.25 876 2317.69 9.95 3293.34 9.26 4111.93 6.84 4621.63 3.17 .87 628.96 5.98 1377.01 8.77 2327.64 9.94 3302.60 9.24 4118.77 6.81 4624.80 3.14 .88 631.94 6.01 1385.78 8.81 2337.58 9.94 3311.84 9.22 4125.58 6.77 4627.94 3.08 .89 640.95 6.04 1394.57 8.82 2347.52 9.95 3321.06 9.21 4132.35 6.74 4631.02 3.05 .90 646.99 6.08 1403.41 8.83 2357.47 9.95 3330.27 9.19 4139.09 6.71 4634.07 3.00 .91 653.07 6.12 1412.24 8.SO 2367.42 9.95 3339.46 9.17 4145.80 6.67 4637.07 2.96 .92 659.19 6.14 1421.10 8.88 2377.37 9.95 3348.63 9.15 4152.47 6.65 4640.03 2.92 .93 66533 6.19 1429.98 8.90 2387.32 9.95 3357.78 9.14 4159.12 6.61 4642.95 2.88 .94 671.52 6.21 1438.88 8.91 2397.27 9.96 3366.92 9.11 4165.73 6.58 4645.83 2.84 .95 677.73 6.25 1447.79 8.94 2407.23 9.95 3376.03 9:10 4172.31 6.55 4648.67 2.80 .96 683.98 6.28 1456.73 8.95 2417.18 9.96 3385.13 9.09 4178.86 6.51 4651.47 2.75 .97 690.26 6.32 1465.68 8.98 2427.14 9.96 3394.22 9.07 4185.37 6.48 4654.22 2.72 .98 696.58 6.35 1474.66 8.99 2437.10 9.96 3403.29 9.04 4191.85 6.45 4656.94 2.67 .99 702.93 6.39 1483.65 9.02 2447.06 9.96 3412.33 9.03 4198.30 6.42 4659.61 2.64 1.00 70J.32 6.41 1492.67 9.03 2457.02 9.96 3421.36 9.02 4204.72 6.39 4662.25 2.59 113 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122".l sin. t -f 2371".0 sin. 2< + 0".9 sin. St -\- 14".4 sin. 41. Period, 29.530587997 davs. Days. 18 19 20 91 22 23 Decimals of a Day. Equation. DifT. Equation. Hiir Equation. Diff. Equation. Diff. Equation. Diff. Equal ion. Diff. .00 4662.25 2.59 4712.54 1.64 4350.06 5.53 3642.21 8.43 2714.21 9.86 1726.64 9.60 .01 4664.84 2.53 4710.90 1.68 4344.53 5.58 8683.78 8.46 2704.35 9.87 1717.01 9.58 .02 4667.39 2.51 4709.22 1.72 4338.95 5.60 3625.32 8.48 2694.48 9.88 1707.46 9.57 .03 4669.90 2.47 4707.50 1.76 4333.35 5.65 3616.81 8.51 2684.60 9.88 1697.89 9.56 .04 4672.37 2.42 4705.74 1.81 4327.70 5.67 3608.33 8.52 2674.72 9.89 1688.33 9.55 .05 4674.79 2.39 4703.93 1.85 4322.03 5.71 3599.81 8.55 2664.83 9.89 1678.78 9.54 .06 467.7.18 2.3 1 4702.08 1.88 4316.32 5.75 3591.26 8.57 2654.94 9.90 1669.24 9.53 .07 4679.52 2.30 4700.20 1.93 4310.57 577 3582.69 8.58 2645.04 9.91 1659.71 9.51 .08 4681.82 2.26 4698.27 1.98 4304.80 5.82 3574.11 8.61 2635.14 9.91 1650.20 9.50 .09 4684.08 2.21 4696.29 2.01 4298.98 5.85 3565.50 8.63 2625.23 9.91 1640.70 9.48 .10 4686.29 2.18 4694.28 2.05 4293.13 5.88 3556.87 8.66 2615.32 9.92 1631.22 9.48 .11 4688.47 2.13 4692.23 2.10 4287.25 5.91 3548.21 8.67 2605,40 9.92 1621.74 9.46 .12 4690.60 2.10 4690.13 2.14 4281.34 5.95 3539.54 8.69 2595.48 9.92 1612.28 9.45 .13 4692.70 2.05 4687.99 2.17 4275.39 5.99 3530.85 8.72 2585.56 9.93 1602.83 9.43 .14 4694.75 2.01 4685 82 2.22 4269.40 6.01 3522.13 8.73 2575.63 9.93 1593.40 9.42 .15 4696.76 1.97 4683.60 2.25 4263.39 6.05 3513.40 8.75 2665,70 9.93 1583.98 9.41 .16 4698.73 1.93 4681.35 2.31 4257.34 6.08 3501.65 8.78 2565.77 9.94 1574.57 9.39 .17 4700.66 1.88 4679.04 2.34 4251.26 6.12 3495.87 8.79 2545.88 9.95 1565.18 9.38 .18 4702.54 1.84 4676.70 2.38 4245.14 6.15 3487.08 8.81 2685.88 9.94 1555.80 9.37 .19 4704.38 1.80 4674.32 2.43 4238.99 6.18 3478.27 8.83 2525.94 9.94 1546.48 9.35 .20 4706.18 1.75 4671.89 2.47 4232.81 6.22 3469.44 8.86 2516.00 9.96 1537.08 9.33 .21 4707.93 1.72 4669.42 2.50 IMV!'; .')!! 6.24 3460.58 8.87 2506.04 9.95 1527.75 9.33 .22 4709.65 1.67 4666.92 2.55 4230.35 6.28 3451.71 8.89 2496.09 9.95 1518.42 9.30 .23 471132 1.63 4664.37 2.59 4314.07 6.32 3 1 12.S2 8.90 2isi;.i i 9.96 1509.12 9.29 .24 4712.95 1.59 4661.78 2.63 4207.75 6.33 3133.92 8.93 2176.18 9.96 1499.83 9.28 .25 4714.51 1.54 4659.15 2.67 4201.42 6.38 3424.99 8.95 2466.22 9.96 1490.55 9.26 .26 4716.08 1.50 4656.48 2.72 4195.01 6.41 3110.01 8.96 2456.26 9.96 1481.29 9.25 .27 4717.58 1.46 4653.76 2.75 4168.63 6.44 3407.08 8.98 2446.30 9.96 1472.04 9.23 .28 471 9.01 1.42 4651.01 2.79 4182.19 6.48 8898.10 9.00 2436.34 9.97 1462.81 9.21 .29 4720.46 1.38 4648.22 2.84 4175.71 6.50 3389.10 902 2426.37 9.96 1453.60 9.20 .30 4721.84 1.33 4645.38 2.87 4169.21 6.54 3380.08 9.03 2416.41 9.97 1444.40 9.18 .31 4723.17 1.29 4642.51 2.92 4162.67 6.57 3371.05 9.06 2 406.44 9.97 1435.22 9.16 .32 47-JI.46 1.26 4639.59 2.95 4156.10 6.60 3361.99 9.07 2396.47 9.97 1426.06 9.15 .33 4725.72 1.21 4636.64 2.99 4149.50 663 3352.92 9.09 2386.50 9.96 1416.91 9.13 .34 4726.93 1.16 4688.65 3.02 4142.87 6.66 3343.83 9.10 2376.51 9.97 1407.78 9.12 .35 4728.09 1.12 4630.63 3.10 4136.21 6.70 3331.73 9.12 236(5.57 9.97 1398.66 9.10 .36 4729.21 1.08 4627.53 3.12 4129.51 6.72 8835.61 9.14 2856.60 9.97 1889.56 9.08 .37 4730.29 1.04 4624.41 3.16 1193.79 6.76 3316.47 9.16 2346.63 9.97 1880.48 9.06 .38 4731.33 0.99 4621.25 3.19 4116.03 6.79 3307.31 9.17 2386.66 9.96 1871.43 9.05 .39 4732.32 0.95 4618.06 3.--.' 1 4109.24 6.81 3298.14 9.18 2326.70 9.97 1362.37 9.03 .40 1733.27 0.91 4614.82 us 4102.43 6.85 3288.96 921 2316.73 9.97 1858.34 9.01 .41 47.'5 1. IN 0.87 4611.51 3.32 4095.58 6.88 3279.75 9.22 2306.76 9.96 1311.33 8.99 .42 4735.05 0.82 460822 3.35 1088.71 691 3270.53 9.23 2296.80 9.96 1335.31 8.98 .43 4735.87 0.78 4601.87 3.40 4081.79 6.94 3261.30 9.25 2286.84 9.96 1826.36 8.95 .44 4736.65 0.74 4601.47 3.44 4074.85 6.97 3252.05 9.27 2276.88 9.96 1317.41 8.94 .45 4737.39 0.70 4598.03 3.47 4067.88 7.00 3242.78 9.28 2266.92 9.96 1308.47 8.92 .46 473S.O! 0.65 4594.56 8.59 4060.88 7.03 3233.50 9.30 2256.96 9.96 1299.55 8.90 .47 173x71 0.61 4591.04 3.56 4058.85 7.06 3224.20 !».31 2247.00 9.95 1290.65 8.88 .48 173!>.3f 0.57 4587.48 3.59 4046.79 7.08 3214.89 9.32 2237.05 9.95 1281.77 8.87 .49 4739.9;. 0.54 4588.89 8.68 4039.71 7.11 3205.57 9.84 2227.10 9.95 1272.90 8.85 .50 47 10. If 0.47 4580.26 3.67 4032.60 7.15 3196.23 9.35 2217.15 9.95 1264.05 8.82 114 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122". 1 sin. t + 2371". 0 sin. 2t + 0".9 sin. 3t + 14".4 sin. 4*. Period, 29.530587997 days. Days. 1 8 19 20 21 22 23 Decimal* of a Day. K>iii;iiiou. Diff Equation. Diir. Equation. Biff. Ki|u;Uiim, DiflT. Equation r>i ir. Equation. Diff. .50 4740.46 0.47 4580.26 3.67 4032.60 7.15 3196.23 9.35 2217.15 9.95 1264.05 8.82 .51 4740 93 0,45 4576.59 3.71 4025.45 7.17 3186.88 9.37 2207.20 9.94 1255.23 8.81 .52 4741.38 0.40 4572.88 3.75 4018.28 7.21 3177.51 9.39 2197.26 9.94 1246.42 8.79 .53 4741.78 0.35 4569.13 3.80 4011.07 7.23 3168.12 9.40 2187.32 9.94 1237.63 8.77 .54 4742.13 0.32 4565.33 3.83 4003.84 7.26 3158.72 9.41 2177.38 9.93 1228.86 8.75 .55 4742.45 0.27 4561.50 3.86 3996.58 7.29 3149.31 9.42 2167.45 9.93 1220.11 8.72 .56 4742.72 0.21 4557.64 3.91 3989.29 7.32 3139.89 9.43 2157.52 9.93 1211.39 8.70 .57 4742.93 0.20 4553.73 3.95 3981.97 7.35 3130.46 9.46 2147.59 9.93 1202.69 8.68 .58 4743.13 0.14 4549.78 3.98 3974.62 7.38 3121.00 9.47 2137.66 9.91 1194.01 8.66 .59 4743.27 0.10 4545.80 4.03 3967.24 7.40 3111.53 9.48 2127.75 9.92 1185.35 8.65 .60 4743.37 0.05 4541.77 4.06 3959.84 7.43 3102.05 9.49 2117.83 9.91 1176.70 8.62 .61 4743.42 0.02 4537.71 4.10 3952.41 7.46 3092.56 9.50 2107.92 9.91 1168.08 8.60 .62 4743.44 0.03 4533.61 4.14 3944.95 7.49 3083.06 9.52 2098.01 9.90 1159.48 8.58 .63 4743.41 0.07 4529.47 4.18 3937,46 7.52 3073.54 9.52 2088.11 9.90 1150.90 6.56 .64 4743.34 0.12 4525.29 4.22 3929.94 7.54 3064.02 9.54 2078.21 9.89 1 142.34 8.53 .65 4743.22 0.14 4521.07 4.26 3922.40 7.57 3054.48 9.56 2068.32 9.89 1133.81 852 .66 4743.08 0.20 4516.81 4.29 3914.83 7.60 3044.92 9.56 2058.43 9.88 1125.29 8.49 .67 4742.88 0.24 '4512.52 4.33 3907.23 7.62 3035.36 9.58 2048.55 9.87 1116.80 8.47 .68 4742.64 0.29 4508.19 4.37 3899.61 7.65 3025.78 9.59 2038.68 9.87 110833 8.45 .69 4742.35 0.32 4503.82 4.40 3891.96 7.68 3016.19 9.59 2028.81 9.86 1099.88 8.43 .70 4742.03 0.37 4499.42 4.45 3884.28 7.70 3006.60 9.61 2018.95 9.86 1091.45 8.40 .71 4741.66 0.42 4494.97 4.48 3876.58 7.73 2996.99 9.62 2009.09 9.85 1083.05 8.39 .72 4741.24 0.45 4490.49 4.52 3868.85 7.76 2987.37 9.64 1999.24 9.85 1074.66 8.35 .73 4740.79 0.50 4485.97 4.55 3861.09 7.78 2977.73 9.64 1989.39 9.84 1066.31 8.34 .74 4740.29 0.54 4481.42 4.59 3853.31 7.81 2968.09 9.65 1979.55 9.83 1057.97 8.31 .75 4739.75 0.58 4476.83 4.63 3845.50 7.84 2958.44 9.66 1969.72 9.82 1049.66 8.29 .76 4739.17 0.62 4472.20 4.67 3837.66 7.86 2948.78 9.68 1959.90 9.82 1041.37 8.27 .77 4738.55 0.67 4467.53 4.71 3829.80 7.89 2939.10 9.68 1950.08 9.81 1033.10 8.24 .78 4737.88 0.71 4462.82 4.74 3821.91 7.91 2929,42 9.70 1940.27 9.81 1024 86 8.22 .79 4737.17 0.75 4458.08 4.78 3814.00 7.94 2919.72 9.70 1930.46 9.79 1016.64 8.20 .80 4736.42 0.79 4453.30 4.82 3806.06 7.96 2910.02 9.71 1920.67 9.79 1008.44 8.17 .81 4735.63 0.84 4448.48 4.86 3798.10 7.99 2900.31 9.72 1910.88 9.78 1000.27 8.15 .82 4734.79 0.85 4443.6-2 4.89 3790.11 8.01 2890.59 9.73 1901.10 9.77 992.12 8.12 .83 4733.94 0.94 4438.73 4.92 3782.10 8.04 2880.86 9.74 1891.33 9.76 984.00 8.10 .84 4733.00 0.96 4433.81 4.97 3774.06 8.06 2871.12 9.75 1881.57 9.75 975.90 8.07 .85 4732.04 100 4428.84 5.00 3766.00 .8.09 2861.37 9.76 1871.82 9.75 967.83 8.05 .86 4731.04 1.05 4423.84 5.04 3757.91 8.11 2851.61 9.76 1862.07 9.74 959.78 8.03 .87 4729.99 1.09 4418.80 5.07 37 19.80 8.14 2841.85 9.78 1852.33 9.72 951.75 8.00 .88 4728.90 1.13 4413.73 5.11 3741.66 8.15 2832.07 9.78 1842.61 9.72 943.75 7.97 .89 4727.77 1.18 4408.62 5.14 3733.51 8.19 2822.29 9.79 1832.89 9.71 935.78 7.95 .90 4726.59 1.22 4403.48 5.19 3725.32 820 2812.50 9.80 1823.18 9.70 927.83 7.93 .91 4725.37 1.25 4398.29 5.21 3717.12 8.24 2802.70 9.80 1813,48 9.69 919.90 7.90 .92 4724.12 1.31 439308 5.26 3708.88 8.25 2792. 90 9.82 1803.79 9.68 912.00 7.87 .93 4722.81 1.34 4387.82 5.29 3700.63 8.28 2783.08 9.82 1794.11 9.67 904.13 7.85 .94 4721.47 1.39 4382.53 5.32 3692.35 8.30 2773.26 9.82 1784.44 9.66 896.28 7.82 .95 4720.08 '1.42 4377.21 5.36 3684.05 8.32 2763.44 9.84 1774 78 9.65 888.46: 7.79 .96 4718.66 1.47 4371.85 5.40 3675.73 8.35 2753.60 9.84 1765.13 9.64 880.67| 7.77 .97 4717.19 1.52 4366.45 5.43 3667.38 8.37 2743.76 9.84 1755.49 9.63 872.90 7.74 .98 4715.67 1.55 4361.02 5.47 3659.01 8.39 2733.92 9.86 1745.86 9.61 865.16 7.72 .99 4714.12 1.58 4355.55 5.49 3650.62 8.41 2724.06 9.85 1736.25 9.61 857.44 7.70 1.00 4712.54 1.64 4350.06 5.53 3642.21 8.43 2714.21 9.86 1726.64 9.60 849.74 7.66 115 TABLE VIII. ARGUMENT 3. Equation = 2457".02 — 122". 1 sin. t -f 2371".0 sin. 2t + 0".9 sin. 3t -f 14" A sin. 4t. Period, 29.530587997 days. Days. 34 99 M 37 28 39 Decimals of a Day. Equation. Biff. Equation. Diff. Equation. Diff. Equation. Diff. Equation, Diff. Equation. Diff. .00 849.74 7.66 237.19 4.36 i'.02 .23 190.64 4.02 780.43 7.64 1670.35 9.91 .01 812.08 7.64 232.83 4.33 0.79 .19 194.66 4.07 788.07 7.66 1680.26 9.93 .02 834.44 7.61 228.50 4.29 0.60 .15 198.73 4.10 795.73 7.70 1690.19 9-95 .03 826.83 7.58 224.21 4.24 0.45 .10 202.83 4.15 803.43 7.73 1700.11 9-95 .04 819.25 7.55 219.97 4.21 0.35 .06 206.98 4.19 811.16 7.76 1710.09 9.98 .05 811.70 7.53 215.76 4.18 0.29 .00 211.17 4.23 818.92 7.78 1720.07 9.98 .06 804.17 7.50 211.58 4.13 0.29 .01 215.40 4.26 826.70 7.82 1730.05 10.00 .07 796.67 7.47 207.45 4.10 0.30 .07 219.66 4.31 834.52 7.85 1740.05 10.01 .08 789.20 7.44 203.35 4.05 0.37 .12 828.97 4.35 842.37 7.88 1750.06 10.03 .09 781.76 7.42 199.30 4.02 0.49 .15 228.32 4.39 850.25 7.91 1760.09 10.04 .10 774.34 7.39 195.28 3.98 0.64 .20 232.71 4.43 858.16 7.94 1770.13 10.05 .11 766.95 7.36 191.30 3.94 0.84 .25 237.14 4.46 866.10 7.97 1780.18 10.06 .12 759.59 7.33 187.36 3.90 1.09 .28 241.60 4.51 874.05 7.99 1790.24 10.07 .13 752.26 7.30 183.46 3.86 1.37 .33 246.11 4.55 882.04 8.02 1800.31 10.08 .14 744.96 7.28 179.60 3.82 1.70 .38 250.66 4.58 890.06 8.05 1810.39 10.10 .15 737.68 7.24 175.78 3.79 2.08 .41 255.24 4.63 898.11 808 1820.49 10.11 .16 730.44 7.21 171.99 3.74 2.49 .45 259.87 4.67 906.19 8.11 1830.60 10.12 .17 723.23 7.19 168.25 3.71 2.94 .51 264.51 4.71 914.30 8.14 is 10. 72 10.14 .18 716.04 7.16 164.5 1 3.66 3.45 .55 269.25 4.74 922.44 8.16 1850.86 10.14 .19 708.88 7.13 160.88 3.62 4.00 .59 273.99 4.79 930.60 8.19 1861.00 10.16 .20 701.75 7.10 157.26 3.59 4.59 .63 278.78 4.82 938.79 8.22 1871.16 10.16 .21 694.65 7.06 153.67 I!..-) I 5.23 .68 28360 4.87 it 17. 01 8.25 1881.32 10.18 .22 687.59 7.04 150.13 351 r,.!)(i .72 2SN. 17 4.90 955.26 8.27 1891.50 10.19 .23 680.55 7.01 146.62 3.46 6.62 .76 398.87 1.91 963.53 8.30 1901.69 10.20 .24 673.54 6.99 143.16 3.43 7.38 .81 298.31 4.97 971.83 8.32 1911.89 10.20 .25 666.55 6.95 139.73 3.38 8.19 .85 303.28 5.02 980.15 8.35 1922.09 10.21 .26 659.60 6.92 136.35 3.35 9.04 .89 308.30 5.05 988.50 8.38 1932.30 10.22 .27 652.68 6.89 133.00 3.30 9.93 .94 313.35 5.10 996.88 8.41 1942.52 10.24 .28 645.79 686 129.70 3.27 10.87 .98 318.45 5.13 1005.29 8.44 1952.76 10.25 .29 638.93 6.82 12643 &39 11.85 1.02 323.58 5.17 1013.73 8.46 1963.01 10.25 .30 632.11 6.80 123.21 3.18 12.87 1.07 328.75 5.21 1022.19 8.48 1973.26 10.27 .31 625.31 6.77 120.03 3.14 13.94 1.11 333.96 5.25 1030.67 8.52 1983.53 10.27 .32 618.54 6.73 116.89 3.11 15.05 1.14 339.21 5.29 1039.19 8.54 1998.80 10.28 .33 611.81 6.71 113.78 3.06 16.19 1.20 84460 5.33 1047.73 8.56 2001.08 10.29 .34 605.10 6.67 110.72 3.03 17.39 1.21 349.83 5.36 1056.29 8.59 2014.37 10.30 .35 598.43 6.64 107.69 2.97 18.63 1.28 355.19 5.40 1064.88 8.62 808417 10.30 .36 591.79 6.61 104.72 2.94 19.91 1.33 360.59 5.43 1073.50 8.64 203 1.97 10.32 .37 585.18 6.58 101.78 2.90 21.24 1.36 366.02 5.48 1082.14 8.66 20152S 10.32 .38 578.60 6.54 98.88 2.86 22.60 1.42 371.50 5.52 1090.80 8.69 2055.60 10.33 .39 572.06 6.52 96.02 2.81 24.02 1.45 377.02 5.55 1099.49 8.72 2065.98 10.33 .40 565.54 6.48 93.21 2.78 25.47 1.50 382.57 5.59 1108.21 8.74 2076.26 10.34 .41 559.06 6.45 90.43 2.73 26.97 1.51 388.16 5.63 1116.95 8.76 2086.60 10.35 .42 552.61 6.42 87.70 2.70 88.5] 159 :i!>:i7!> 5.66 1125.71 8.79 2096.95 10.36 .43 516.19 6.38 85.00 2.65 30.10 L63 399.45 5.70 1184.50 8.82 2107.31 10.36 .44 539.81 6.36 82.35 2.61 31.72 1.68 405.15 5.74 1143.32 8.83 2117.67 10.37 .45 533.45 6.32 79.74 2.r»7 33.40 1.71 410.89 5.78 1152.15 8.87 2128.01 10.37 .46 527.13 6.29 77.17 2.53 35. 1 1 1.76 416.67 5.81 1161.02 8.88 2138.41 10.38 .47 520.84 6.25 74.64 2.48 36.87 1.80 422.48 5.85 1169.90 8.91 2148.79 10.39 .is 614.69 6.22 72.16 2. 15 38.67 l.Nl 428.33 5.89 1178.81 8.93 2159.18 10.39 .111 508.81 6.20 69.71 2.11 40.51 1.88 434.22 5.91 1187.74 8.95 2169.57 10.3!) .50 502.17 6.16 67.30 2.36 42.39 1.93 440.13 5.96 1196.69 8.98 2179.96 10.40 116 TABLE VIII. ARGUMENT 3. Equation = 2457".02— 122".l sin. <-f 2371".0 sin. 2< -f 0".9 sin. 3t -\- U"A sin. Period, 29.530587997 days. Days. 24 25 26 27 28 29 Decimals of a Day. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. .50 502.17 6.16 67.30 2.36 42.39 1.93 440.13 5.96 1196.69 8.98 2179.96 10.40 .51 496.01 6.12 64.94 2.32 44.32 1.97 446.09 5.99 1205.67 9.00 2190.36 10.41 .52 489.89 6.09 62.62 2.28 46.29 2.01 452.08 6.03 1214.67 9.03 2200.77 10.41 .53 483.80 6.06 60.34 2.24 48.30 2.06 458.11 6.07 1223.70 9.04 2211.18 10.41 .54 477.74 6.02 58.10 2.19 50.36 2.10 464.18 6.11 1232.74 9.07 2221.59 10.42 .55 471.72 5.99 55.91 2.16 52.46 2.14 470.29 6.14 1241.81 9.09 2232.01 10.43 .56 465.73 5.95 53.75 2.11 54.60 2.19 476.43 6.17 1250.90 9.12 2242.44 10.43 .57 459.78 5.92 51.64 2.07 56.79 2.23 482.60 6.21 1260.02 9.13 2252 87 10.43 .58 453.86 5.89 49.57 2.02 59.02 2.27 488.81 6.25 1269.15 9.16 2263.30 10.44 .59 447.97 5.85 47.55 1.99 61.29 2.32 495.06 6.28 1278.31 9.18 2273.74 10.43 .60 442.12 5.82 45.56 1.94 63.61 2.35 501.34 6.31 1287.49 9.20 2284.17 10.44 .61 436.30 5.79 43.62 1.90 65.96 2.39 507.65 6.36 1296.69 9.21 2294.61 10.44 .62 430.51 5.75 41.72 1.86 68.35 2.44 514.01 6.39 1305.90 9.24 2305.05 10.45 .63 424.76 5.71 39.86 1.82 70.79 2.49 520.40 6.42 1315.14 9.27 2315.50 10.45 .64 419.05 5.68 38.04 1.77 73.28 2.52 526.82 6.47 1324.41 9.28 2325.95 10.45 .65 413.37 5.65 36.27 1.73 75.80 2.57 533.29 6.48 1333.69 9.31 2336.40 1046 .66 407.72 5.61 34.54 1.69 78.37 2.61 539.77 6.53 1343.00 9.32 2346.86 10.45 .67 402.11 5.57 32.85 1.65 80.98 2.66 5 1(5.30 6.56 1352.32 9.35 2357.31 1046 .68 390.5 1 5.54 31.20 1.60 83.64 2.69 552.86 6.60 1361.67 9.36 2367.77 10.46 .69 391.00 5.51 29.60 1.57 86.33 2.74 559.46 6.63 1371.03 9.39 2378.23 10.46 .70 385.49 5.47 28.03 1.52 89.07 2.79 566.09 6.67 1380.42 9.40 2388.69 10.46 .71 380.02 5.43 26.51 1.47 91.86 2.82 572.76 6.70 1389.82 9.43 2399.15 10.46 .72 374.59 5.40 25.04 1.44 94.68 2.86 579.46 6.73 1399.25 9.44 2409.61 10.47 .73 369.19 5.36 23.60 1.39 97.54 2.91 586.19 6.77 1408.69 9.47 2420.08 10.47 .74 363.83 5.34 22.21 1.36 100.45 2.94 592.96 6.80 1418.16 9.48 2430.55 10.46 .75 35849 5.29 20.85 1.31 103.39 2.99 599.7G 6.8 i 1427.64 9.49 0441.01 10.47 .76 353.20 5.26 19.54 1.26 106.38 3.04 606.60 6.87 1437.13 9.52 2451.48 10.47 .77 347.94 5.22 18.28 1.22 109.42 3.07 613.47 6.90 1446.65 9.54 2461.95 10.46 .78 342.72 5.18 17.06 1.18 112.49 3.12 620.37 6.94 1456.19 9.56 2472.41 10.47 .79 337.54 5.15 15.88 1.14 115.61 3.16 627.31 6.97 1465.75 9.57 2482.88 10.46 .80 332.39 5.11 14.74 1.09 118.77 3.20 634.28 7.00 1475.32 9.50 2493.33 10.47 .81 327.28 5.07 13.65 1.05 121.U7 3.24 611.28 7.04 1481 9i 9.61 2503.80 10.46 .82 322.21 5.04 12.60 1.01 125.21 3.29 648.32 7.06 1494.52 9.63 2514.26 10.47 .83 317.17 5.00 11.59 .97 128.50 3.32 655.38 7.10 1504.15 9.65 2524.73 10.46 .84 312.17 4.97 10.62 .92 131.82 3.37 662.48 7.13 1513.80 9.66 2535.19 10.46 .85 307.20 4.93 9.70 .88 135.19 3.41 669.61 7.17 1523.46 9.68 2545.65 10.46 .86 302.27 4.89 8.82 .83 138.60 3.44 676.78 7.19 1533.14 9.69 2556.11 10.46 .87 297.38 4.85 7.99 .80 142.04 3.49 683.97 7.23 1542.83 9.71 2566.57 10.45 .88 292.53 4.82 7.19 .75 145.53 3.54 691.20 7.27 1552.54 9.74 2577.02 10.46 .89 287.71 4.78 6.44 .71 149.07 3.57 698.47 7.29 1562.28 9.74 2587.48 10.45 .90 282.93 4.74 5.73 .66 152.64 3.62 705.76 7.33 1572.02 9.77 2597.93 10.44 .91 278.19 4.70 5.07 .62 156.26 3.65 713.09 7.36 1581.79 9.78 2608.37 10.44 .92 273.49 4.67 4.45 .58 159.91 3.70 720.45 7.39 1591.57 9.79 2618.81 10.44 .93 268.82 4.63 3.87 .53 163.61 3.74 727.84 7.42 1601.36 9.81 2629.25 10.44 .94 264.19 4.59 3.34 .50 167.35 3.78 735.26 7.45 1611.17 9.82 2639.69 10.44 .95 259.60 4.56 2.84 .45 171.13 3.82 742.71 7.48 1620.99 9.85 2650.13 10.43 .96 255.04 4.51 2.39 .40 174.95 3.87 750.19 7.52 1630.84 9.86 2660.56 10.43 .97 250.53 4.48 1.99 .36 178.82 3.90 757.71 7.55 1640.701 9.87 2670.99 10.42 .98 246.05 4.44 1.63 .32 182.72 3.94 765.26 7.57 1650.57 9.88 2681.41 10.42 .99 241.61 4.42 1.31 .29 186.66 3.98 772.83 7.60 1660.45 9.90 2691.83 10.42 1.00 237.19 4.36 1.02 .23 190.64 4.02 780.43 7.64 1670.35 9.91 2702.25 10.42 117 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Days. O 10 90 30 40 Pays. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. I 0.0 1340.68 +.04 1334.19 -.16 1307.89 -.37 1262.33 —.55 1198.72 -.73 0.1 1340.72 .03 1334.03 .17 1307.52 .36 1261.78 .55 1197.99 .72 0.2 1340.75 .03 1333.86 .17 1307.16 .37 1261.23 .55 1197.27 .72 ' 0.3 1340.78 .03 1333.69 .17 1306.79 .36 1260.68 .56 1196.55 .73 0.4 1340.81 .02 1333.52 .17 1306.43 .37 1260.12 .55 1195.82 .73 0.5 1340.83 .03 1333.35 .18 1306.06 .37 1259.57 .56 1195.09 .73 0.6 1340.86 .02 1333.17 .18 1305.69 .38 1259.01 .56 1194.31 .73 0.7 1340.88 .02 1332.99 .18 1305.31 .37 1258.45 .56 1193.6! .73 0.8 13-40.90 .02 1332.81 .18 1304.94 .38 1257.89 .57 1192.90 .74 0.9 1340.92 .01 1332.63 .18 1304.56 .38 1257.32 .56 1192.16 .74 1.0 1340.93 .02 1332.45 .19 1304.18 .38 1256.76 .57 1191.42 .73 1.1 1340.95 .01 1332.26 .18 1303.80 .38 1256.19 .57 1190.6! .74 1.2 1340.96 .01 1332.08 .19 1303.42 .39 1255.62 .57 1189.95 .74 1.3 1340.97 .01 1331.89 .19 1303.03 .38 1255.05 .57 1189.21 .75 1.4 1340.98 .00 1331.70 .19 1302.65 .39 1254.48 .58 1 188.46 .74 1.5 1340.98 .00 1331.51 .20 1302.26 .39 1253.90 .57 1187.72 .75 1.6 1340.98 +.01 1331.31 .20 1301.87 .40 1263.33 .58 1186.97 .74 1.7 1340.99 .00 1331.11 .20 1301.47 .39 1252.75 .58 118653 .75 1.8 1340.99 -.01 1330.91 .20 1301.08 .40 1252.17 .58 1185.48 .75 1.9 1340.98 .00 1330.71 .21 1300.68 .40 1251.59 .59 1184^3 .75 2.0 1340.98 .01 1330.50 .20 1300.28 .40 1251.00 .58 1183.98 .76 2.1 1340.97 .00 1330.30 .20 1299.88 .40 1250.42 .59 1183.22 .76 2.2 1340.97 .01 1330.10 .21 1299.48 .40 1249.83 .59 1182.46 .75 2.3 1340.96 .01 1829.89 .21 1299.08 .41 1249.21 .59 1181.71 .76 2.4 1340.95 .02 1329.68 .22 1298.67 .41 1248.65 .59 1 180.95 .76 2.5 1340.93 .01 1329.46 .21 1298.26 .41 1248.06 .59 1180.19 .76 2.6 1340 92 .02 1329.25 .22 1297.85 .41 1247*17 .60 1179.43 .77 2.7 1340.90 .02 1329.03 .22 121)7.44 .41 1246.87 .60 1178.66 .76 2.8 1340.88 .03 1328.81 .22 1297.03 .42 1246.27 .60 1177.90 .77 2.9 1340.85 .02 1328.59 .22 1296.61 .41 1245.67 .60 1177.13 .77 3.0. 1340.83 .03 1328.37 .23 1296.20 .42 1245.07 .60 1176.36 .77 3.1 1340.80 .03 1328.14 .22 1295.78 .42 1244.47 .61 1175.59 .77 .'{.-,' 1340.77 .03 1327.92 .28 1295.36 .42 1243.86 .60 117482 .77 3.3 1340.71 .03 1327.69 .23 1294.94 .43 1243.26 . 7< » 81 9 •) » Days. Equation. Difference. Equation. Difference. Equation. Difference Equation. Difference. Equation. Difference. I 0.0 1118.83 -.87 1025.03 -1.00 920.14 —1.09 80f.4S —1.16 690.38 -1.18 0.1 1117.96 .88 1024.03 1.00 919.05 1.10 N00.26 1.15 1.10 791.21 1.16 (i7:i.Nti 1.18 .5 1 105.58 .89 1009.93 1.02 903.65 1.11 790.05 1.16 072.08 1.18 .6 1 104.69 .90 1008.91 1.02 902.51 1.10 788.S9 1.16 671.50 1.18 .7 1103.79 .89 1007.89 1.01 901.44 1.11 787.73 1.16 670.32 1.18 1.8 1102.90 .90 1006.88 1.02 900.33 1.11 786.57 1.17 669.14 1.18 1.9 1102.00 .90 1005.86 I.OB 899.22 1.11 785.40 1.16 667.96 1.18 2.0 1101.10 .90 1004.84 1.02 898.11 1.10 784.24 1.16 660.78 1.18 2.1 1 100.20 .90 1003.82 1.03 897.01 1.11 783.08 1.16 665.60 1.18 2.2 1099.30 .91 1002.79 1.02 895.90 1.12 781.92 1.17 OOI.lv! 1.18 2.3 1098.39 .90 1001.77 1.02 894.78 1.11 780.75 1.16 663.24 1.18 2.4 1097.49 .91 1000.75 1.03 893.67 1.11 779.59 1.17 662.06 1.18 2.5 1096.58 .91 999.72 1.02 892.56 1.11 778.42 1.16 660.88 1.18' 2.6 1095.67 .91 !l!ts.7() 1.03 891.45 1.11 777.26 1.17 (15!). 70 1.18 2.7 1094.76 .91 997.67 1.03 890.34 1.12 776.09 1.16 658.89 1.18 2.8 1093.85 .91 996.64 1.03 889.22 1.11 774.93 1.17 057.31 1.IS 2.9 1092.94 .91 995.61 1.03 888.11 1.12 773.70 1.16 656.16 1.18 3.0 1092.03 .91 994.58 1.03 886.99 1.11 772.60 1.17 654.98 1.18 3.1 1091.12 .92 993.55 1.03 885.88 1.12 771.43 1.17 633.80 1.18 3.2 1090.20 .92 992.52 1.03 884.76 1.12 770.26 • 1.16 652.62 1.18 3.3 1089.28 .91 991.49 1.04 883.64 1.11 769.10 1.17 661(44 1.18 3.4 10HS.37 .92 990.45 1.03 882.53 1.12 767.93 1.17 650.26 1.18 3.5 1087.45 .92 989.42 1.01 881.41 1.12 766.76 1.17 019.08 1.18 3.6 10M(i.:»:t .93 988 860:66 .13 768,90 1.17 686.11 1.18 4.7 H)7»;.:;i .93 976.92 .0:, 867 A3 .11 788.78 1.17 634.93 1.18 4.8 1076.88 .94 975.87 .05 866.80 .It 7.r»i.r.r, 1.18 633.75 1.17 4.9 107l.lt .94 974.82 .05 865.67 .12 76O88 1.17 632.5.S 1.18 5.0 1073.50 -M 973.77 - .05 864.55 -1.13 7 19.21 -1.17 631.40 —1.18 120 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Days. 5O 60 70 SO 9O Days. Kiiuaiion. Difference. Equation. tUffMMMi Equation. Difference. Equation. Difference. Equal ioi1. Difference. d. 5.0 1073.50 - .94 973.77 -1.05 864.55 -1.13 749.21 -1.17 631.40 —1.18 5.1 1072.56 .94 972.72 1.05 863.42 1.13 748.04 1.17 630.22 1.18 5.2 1071.62 .94 971.67 1.05 862.29 1.13 746.87 1.17 629.04 1.18 5.3 1070.68 .94 970.62 1.06 861.16 1.13 745.70 1.18 627.86 1.18 5.4 1069.74 .95 969.56 1.05 860.03 1.14 744.52 1.17 626.68 1.17 5.5 1068.79 .95 968.51 1.06 858.89 1.13 743.35 ' 1.17 625.51 1.18 5.6 1067.84 .94 967.45 1.05 857.76 1.13 742.18 1.18 624.33 1.18 5.7 1066.90 .95 966.40 1.06 856.63 1.13 741.00 1.17 623.15 1.17 5.8 1065.95 .95 965.34 1.06 855.50 1.14 739.83 L17 621.98 1.18 5.9 1065.00 .95 964.28 1.05 854.36 1.13 738.66 1.18 620.80 1.18 6.0 1064.05 .95 963.23 1.06 853.23 1.14 737.48 1.17 619.62 1.17 6.1 1063.10 .96 962.17 1.06 852.09 1.13 736.31 1.18 618.45 1.18 6.2 1062.14 .95 961.11 1.07 850.96 1.14 735.13 1.17 617.27 1.18 6.3 1061.19 .96 960.04 1.06 849.82 1.14 733.96 1.18 616.09 1.17 6.4 1060.23 .95 958.98 1.06 848.68 1.13 732.78 1.17 614.92 1.18 6.5 1059.28 .96 957.92 1.07 847.55 1.14 731.61 1.18 613.74 1.17 6.6 1058.32 .96 956.85 1.07 846.41 1.14 730.43 1.17 612.57 1.18 6.7 1057.36 .96 955.78 1.06 845.27 1.14 729.26 1.18 611.39 1.18 6.8 1056.40 .97 954.72 1.07 844.13 1.14 728.08 1.17 610.21 1.17 6.9 105543 .96 953.65 1.07 842.99 1.14 726.91 1.18 609.04 1.18 7.0 1054.47 .96 952.58 1.06 841.85 1.14 725.73 1.17 607.86 1.17 7.1 1053.51 .97 951.52 1.07 840.71 1.14 724.56 1.18 606.69 1.18 7.2 1052.54 .97 950.45 1.08 839.57 1.14 723.38 1.18 605.51 1.17 7.3 1051.57 .97 949.37 1.07 838.43 1.14 722.20 1.18 604.34 1.17 7.4 1050.60 .96 948.30 1.07 837.29 1.14 721.02 1.17 603.17 1.18 '7.5 1049.64 .97 947.23 1.07 836.15 1.15 719.85 1.18 601.99 1.17 7.6 1048.67 .98 946.16 1.08 835.00 1.14 718.67 1.18 600.82 1.18 7.7 1047.69 .97 945.08 1.07 833.86 1.15 717.49 1.17 599.64 1.17 7.8 1046.72 .97 944.01 1.08 832.71 1.14 716.32 1.18 598.47 1.17 7.9 1045.75 .98 942.93 1.07 831.57 1.14 715.14 1.18 597.30 1.17 8.0 1044.77 .98 941.86 1.08 830.43 1.15 713.96 1.18 596.13 1.18 8.1 1043.79 .97 940.78 1.08 829.28 1.14 712.78 1.18 594.95 1.17 8.2 1042.82 .98 939.70 1.08 828.14 1.15 711.60 1.17 593.78 1.17 8.3 1041.84 .98 938.62 1.08 826.99 1.15 710.43 1.18 592.61 1.17 8.4 1040.86 .98 937.54 1.08 825.84 1.15 709.25 1.18 591.44 1.18 8.5 1039.88 .98 936.46 1.08 824.69 1.15 708.07 1.18 590.26 1.17 8.6 1038.90 .99 935.38 1.09 823.54 1.15 706.89 1.18 589.09 1.17 8.7 1037.91 .99 934.29 1.08 822.39 1.14 705.71 1.18 587.92 1.17 8.8 1036.92 .98 933.21 1.09 821.25 1.15 704.53 1.17 586.75 1.17 8.9 1035.94 .99 932.12 1.08 820.10 1.15 703.36 1.18 585.58 1.17 9.0 1034.95 .98 931.04 1.09 818.95 1.16 702.18 1.18 584.41 1.17 9.1 1033.97 .99 929.95 1.08 817.79 1.15 701.00 1.18 583.24 1.17 9.2 103298 .99 928.87 1.09 816.64 1.15 699.82 1.18 582.07 1.17 9.3 1031.99 .99 927.78 1.09 815.49 1.15 698.64 1.18 580.90 1.17 9.4 1031.00 .99 926.69 1.09 814.34 1.15 697.46 1.18 579.73 1.17 9.5 1030.01 1.00 925.60 1.09 813.19 1.16 696.28 1.18 578.56 1.17 9.6 1029.01 .99 924.51 1.09 812.03 1.15 695.10 1.18 577.39 1.11 9.7 1028.02 1.00 923.42 1.09 810.88 1.15 693.92 1.18 576.22 1.16 9.8 1027.02 1.00 922.33 1.10 809.73 1.16 692.74 1.18 575.06 1.17 9.9 1026.02 _ .99 921.23 -1.09 808.57 -1.15 691.56 -1.18 573.89 -1.17 10.0 1025.03 920.14 807.42 690.38 572.72 121 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670". 3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Da vs. 1C K> . 11 0 IS •0 i: to 1^ 10 Uiys Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. a. 0.0 572.72 -1.16 458.14 —1.12 350.24 -1.01 252.36 -.92 167.49 -.77 0.1 571.56 1.17 457.02 1.11 :fi!).-jo 1.03 251.44 .91 166.72 .77 0.2 570.39 1.17 455.91 1.12 348.17 1.03 250.53 .92 165.9!) .77 0.3 569.22 1.17 •151.71) 1.12 347.14 1.03 249.61 .91 165.18 .77 0.4 568.05 1.16 453.67 1.11 346. 1 1 1.03 248.70 .92 164.41 .77 0.5 566.89 l.tl 452.56 1.12 345.08 1.03 247.78 .91 163.6 .77 0.6 565.72 1.16 451.44 1.11 344.05 1.03 246.87 .91 HW.S7 .76 0.7 564.56 1.17 450.33 1.11 343.02 1.03 2 15.9( .91 Ki2.ll .76 0.8 56339 1.16 449.22 1.12 341.99 1.02 245.05 .90 16L8S .76 0.9 562.23 1.17 448.10 1.11 340.97 1.02 244.15 .91 160.59 .77 1.0 561.06 1.16 446.99 1.11 339.95 1.03 243.24 .90 159.82 .75 1.1 559.90 1.16 445.88 1.11 338.92 1.02 242.34 .91 159.07 .76 1.2 558.74 1.17 444.77 1.11 337.90 1.02 241.43 .90 158.31 .75 1.3 557.57 1.16 443.66 1.11 336.88 1.02 240.53 .90 157.50 .76 1.4 556.41 1.16 442.55 1.11 335.86 1.02 239.63 .90 156.80 .75 1.5 555.25 .16 441.44 1.10 334.84 1.02 238.73 .90 150.0." .75 1.6 554.09 .17 440.34 1.11 333.S2 1.02 237.83 .89 155.3( .75 1.7 552.92 .16 439.23 1.11 332.80 1.01 236.91 .90 154.5f .75 1.8 551.76 .16 438.12 1.10 331.79 1.02 236.04 .89 153.80 .74 1.9 550.60 .16 437.02 1.11 330.77 1.01 235.15 .89 153.06 .75 2.0 549.44 .16 435.91 1.10 329.76 1.02 234.26 .89 152.31 .74 2.1 548.28 .16 434.81 1.10 328.74 1.01 233.37 .89 151.57 .74 2.2 547.12 1.16 433.71 1.10 327.73 1.01 232.48 .89 150.83 .74 2.3 515.96 1.16 432.6 1 1.11 326.72 1.01 231.59 .89 150.0! .74 2.4 544.80 1.16 431.50 1.10 325.71 1.01 230.70 .88 149.35 .73 2.5 543.64 1.15 430.40 1.10 324.70 1.01 229.82 .89 148.62 .74 2.6 542.49 1.16 429.30 1.10 323.69 1.00 228.93 .88 147.88 .73 2.7 541.33 1.16 428.20 1.09 322.69 1.01 228.05 .88 147.15 .73 2.8 540.17 1.16 427.11 1.10 321.6H 1.00 227.17 .88 146.42 .73 2.9 539.01 1.15 426.01 1.10 320.68 1.00 226.29 .88 145.69 .73 3.0 537.86 1.16 424.91 1.10 319.68 1.01 225.41 .88 144.96 .72 3.1 536.70 1.15 423.81 1.09 318.67 1.00 224.53 .87 144.24 .73 3.2 535.55 1.16 422.72 1.10 317.67 1.00 223.66 .88 143.51 .72 3.3 534.39 1.15 421.62 1.09 316.67 1.00 222.78 .87 142.79 .72 3.4 533.24 1.16 420.53 1.09 315.67 .99 221.91 .87 142.07 .72 3.5 532.08 1.15 419.44 1.10 314.68 1.00 221.04 .87 141.35 .72 3.6 530.93 1.16 418.34 1.09 313.6N 1.00 220.17 .87 140.63 .72 3.7 529.77 1.15 417.25 1.09 312.68 .99 219.30 .87 189.91 .71 3.8 528.62 1.15 416.16 1.09 311.69 .99 218.43 .87 139.20 .71 3.9 527.47 1.15 415.07 1.09 310.70 .99 217.56 .86 138.49 .72 4.0 526.32 1.16 413.98 1.08 309.71 1.00 216.70 .86 137.77 .71 4.1 525.16 1.15 412.90 1.09 308.71 .99 215.84 .87 137.06 .70 4.2 524.01 1.15 411.81 1.09 307.72 .98 214.97 .86 186.36 .71 4.3 522.86 1.15 410.72 1.06 306.71 .99 21411 .85 135.65 .70 4.4 521.71 1.15 409.64 1.09 305.75 .99 213.26 .86 134.95 .71 45 520.56 1.15 408.55 1.08 304.76 .98 212.40 .86 134.24 .70 > 4.6 519.41 1.15 407.47 1.09 303.7N .99 211.51 .85 138.54 .70 4.7 518.26 1.15 406.38 1.08 302.79 .98 210.69 .86 132.84 .70 4.8 517.11 1.14 405.30 1.08 301.81 .98 209.83 .85 132.14 .69 4.9 515.91 1.15 401.22 1.08 300.83 .98 208.98 .85 131.45 .70 5.0 514£8 -1.15 408.14 -1.08 299.85 — .98 208.13 -.85 130.75 -.69 TABLE IX. ARGUMENT 4. Equation — 670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Buys. 1OO 110 190 130 140 Days. Equation. Difference, Equation. Difference. Equation. Difference. Equation. Different1!;. Equal ion. Difference. d. 5.0 514.82 -1.15 403.14 -1.08 299.85 -.98 208". 13 -.85 130.75 -.69 5.1 513.67 1.15 402.06 1.08 298.87 .98 207.28 .85 130.06 .69 5.2 512.52 1.14 400.98 l.OS 297.89 .98 206.43 .84 129.37 .69 5.3 511.38 1.15 399.90 1.08 296.91 .97 205.59 .85 128.68 .69 5.4 510.23 1.14 398.82 1.07 295.94 .98 204.74 .84 127.99 .69 5.5 509.09 1.15 397.75 1.08 294.96 .97 203.90 .84 127.30 .68 5.6 507.94 1.14 396.67 1.07 293.99 .98 203.06 .84 126.62 .69 5.7 506.80 1.15 395.60 1.08 293.01 .97 202.22 .84 125.93 .68 5.8 505.65 1.14 394.52 1.07 292.04 .97 201.38 .84 125.25 .68 5.9 504.51 1.14 393.45 1.07 291.07 .96 200.54 .83 124.57 .68 6.0 503.37 1.14 392.38 1.08 290.11 .97 199.71 .84 123.89 .67 6.1 502.23 1.14 391.30 1.07 289.14 .97 198.87 .83 123.22 .68 6.2 501.09 1.15 390.23 1.07 288.17 .96 198.04 .83 122.54 .67 6.3 499.94 1.13 389.16 1.07 287.21 .97 197.21 .83 121.87 .67 6.4 498.81 1.15 388.09 1.06 286.24 .96 196.38 .83 121.20 .67 6.5 497.66 1.13 387.03 1.07 285.28 .96 195.55 .83 120.53 .67 6.6 496.53 1.14 385.96 1.07 284.32 .96 194.72 .83 119.86 .66 6.7 495.39 1.14 384.89 1.06 283.36 .96 193.89 .82 119.20 .67 6.8 494.25 1.14 383.83 1.07 282.40 .96 193.07 .82 118.53 .66 6.9 493.11 1.14 382.76 1.06 281.44 .96 192.25 .82 117.87 .66 7.0 491.97 1.13 381.70 1.06 280.48 .95 191.43 .82 117.21 .66 7.1 490.84 1.14 380.64 1.06 279.53 .96 190.61 .82 116.55 .66 7.2 489.70 1.13 379.58 1.06 278.57 .95 189.79 .82 115.89 .66 7.3 488.57 1.14 378.52 1.06 277.62 .95 188.97 .81 115.23 .65 7.4 487.43 1.13 377.46 1.06 276.67 .95 188.16 .82 114.58 .66 7.5 486.30 1.14 376.40 1.06 275.72 .95 187.34 .81 113.92 .65 7.6 485.16 1.13 375.34 1.06 274.77 .95 186.53 .81 113.27 .65 7.7 4*4.03 1.13 374.28 1.05 273.82 .95 185.72 .81 112.62 .64 7.8 482.90 1.13 373.23 1.06 272.87 .94 184.91 .81 111.98 .65 7.9 481.77 1.13 372.17 1.05 271.93 .95 184.10 .80 111.33 .64 8.0 480.64 1.14 371.12 1.05 270.98 .94 183.30 .81 110.69 .65 8.1 479.50 1.12 370.07 1.06 270.04 .94 182.49 .80 110.04 .64 8.2 478.38 1.13 369.01 1.05 269.10 .94 181.69 .80 109.40 .64 8.3 477.25 1.13 367.96 1.05 268.16 .94 180.89 .80 108.76 .63 8.4 476.12 1.13 366.91 1.05 267.22 .94 180.09 .80 108.13 .64 8.5 474.99 1.13 365.86 1.05 266.28 .94 179.29 .80 107.49 .63 8.6 473.86 1.13 364.81 1.04 265.34 .93 178.49 .89 106.86 .63 8.7 472.73 1.12 363.77 1.05 264.41 .94 177.70 .80 106.23 .63 8.8 471.61 1.13 362.72 1.05 263.47 .93 176.90 .79 105.60 .63 8.9 470.48 1.12 361.67 1.04 262.54 .93 176.11 .79 104.97 .63 9.0 469.36 1.13 360.63 1.05 261.61 .93 175.32 .79 104.34 .62 9.1 468.23 1.12 359.58 1.04 260.68 .93 174.53 .79 103.72 .63 9.2 467.11 1.13 358.54 1.04 259.75 .93 173.74 .78 103.09 .62 9.3 465.98 1.12 357.50 1.04 258.82 .93 172.96 .79 102.47 .62 9.4 464.86 1.12 356.46 1.04 257.89 .92 172.17 .78 101.85 .62 9.5 463.74 1.12 355.42 1.04 256.97 .93 171.39 .78 101.23 .61 9.6 462.62 1.12 354.38 1.04 256.04 .92 170.61 .78 100.62 .62 9.7 461.50 1.12 353.34 1.04 255.12 .92 169.83 .78 100.00 .61 9.8 460.38 1.12 352.30 1.03 254.20 .92 169.05 .78 99.39 .61 9.9 459.26 -1.12 351.27 -1.03 253.28 -.92 168.27 -.78 98.78 -.61 10.0 458.14 350.24 252.36 167.49 98.17 123 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Days. ISO I GO 17O ISO 190 Day.. Equation. Difference. Equal ion. Difference. Equation. I)i fore Lire. Equation. Difference. Equation. Difference. d. 0.0 98.17 -.61 46.36 -.42 13.47 -.23 0.28 -.03 6.94 +.16 0.1 97.56 .61 45.94 .42 13.24 .22 0.25 .03 7.K .17 0.2 96.95 .60 45.52 .42 13.02 .23 0.22 .03 7.27 .17 0.3 96.35 .60 45.10 .42 12.79 .23 0.19 .02 7.44 .17 0.4 95.75 .60 44.68 .42 12.56 .22 0.17 .03 7.61 .18 0.5 95.15 .60 44.26 .41 12.34 .22 0.14 .02 7.79 .17 0.6 94.55 .60 43.85 .42 12.12 .22 0.12 .02 7.96 .18 0.7 93.95 .59 43.43 .41 11.90 .21 0.10 .02 8.14 .18 0.8 93.36 .60 43.0-2 .41 11.69 .22 0.08 .02 8.32 .18 0.9 92.76 .59 42.61 .41 11.47 .21 0.06 .01 8.50 .18 1.0 92.17 .59 42.20 .40 11.26 .21 0.05 .01 8.68 .19 1.1 91.58 .59 41.80 .40 11.05 .21 0.04 .01 8.87 .19 1.2 90.99 .58 41.40 .40 10.84 .20 0.03 .01 9.06 .18 1.3 90.41 .59 41.00 .40 10.64 .21 0.02 .00 9.24 .20 1.4 89.82 .58 40.60 .40 10.43 .20 0.02 -.01 9.44 .19 1.5 89.24 .58 40.20 .40 10.23 .20 0.01 .00 9.63 .19 1.6 88.66 .58 39.80 .39 10.03 .20 0.01 .00 9.82 .20 1.7 88.08 .58 39.41 .39 9.83 .20 0.01 .00 10.02 .20 1.8 87.50 .58 39.02 .39 9.63 .19 0.01 +.01 10.22 .20 1.9 86.92 .57 38.63 .39 9.44 .20 0.02 .01 10.42 .20 2.0 86.35 .57 38.24 .39 9.24 .19 0.03 .01 10.62 .21 2.1 85.78 .57 37.85 .38 9.05 .19 0.04 .01 10.83 .21 2.2 85.21 .57 37.47 .38 8.86 .18 0.05 .01 11.04 .20 2.3 84.64 .56 37.09 .38 8.68 .19 0.06 .01 11.24 .22 2.4 84.08 .57 36.71 .38 8.49 .18 0.07 .02 11.46 .21 2.5 83.51 .56 36.33 .38 8.31 .18 0.09 .01 11.67 .21 2.6 82.95 .56 35.95 .37 8.13 .18 0.10 .02 11.88 .22 2.7 82.39 .56 35.58 .38 7.95 .17 0.12 .03 12.10 .22 2.8 81.83 .56 35.20 .37 7.78 .18 0.15 .02 12.32 .22 2.9 81.27 .56 34.83 .37 7.60 .17 0.17 .03 12.54 .22 3.0 80.71 .55 34.46 .36 7.43 .17 0.20 .03 12.76 .22 3.1 80.16 .55 34.10 .37 7.26 .17 0.23 .03 12.98 .23 3.2 79.61 .55 33.73 .36 7.09 .17 0.26 .03 13.21 .23 3.3 79.06 .55 33.37 .36 6.92 .16 0.29 .03 13.44 .23 3.4 78.51 .55 33.01 .36 6.76 .17 0.32 .04 13.67 .23 3.5 77.96 .55 32.65 .36 6.59 .16 0.36 .04 13.90 .23 3.6 77.41 .54 32.29 .35 6.43 .16 0.40 .04 14.13 .24 3.7 76.87 .54 31.94 .36 6.27 .15 0.44 .04 14.37 .23 3.8 76.33 .54 81.66 .35 6.12 .16 0.48 .04 14.60 .24 3.9 75.79 .54 31.23 .35 5.96 .15 0.52 .05 14.84 .24 4.0 75.25 .54 30.88 .35 5.81 .15 0.57 .05 15.08 .25 4.1 74.71 .53 30.53 .31 5.66 .15 0.62 .05 1 5.:u .24 4.2 74.18 .53 30.19 J6 5.51 .15 0.67 .05 15.57 .25 4.3 73.65 .53 29.84 M 5.36 .14 0.72 .05 15.82 .25 4.4 73.12 .53 29.50 .34 5.22 .15 0.77 .06 16.07 .25 4.5 72.59 .53 29.16 .31 5.07 .14 0.83 .06 16.32 .25 4.6 72.06 .52 28.82 M 4.93 .14 0.89 .06 16.57 .26 4.7 71.54 M 28.49 .34 4.79 .13 0.95 .06 16.83 .25 4.8 71.01 .52 28.15 .33 4.f>6 .14 1.01 .06 17.08 .26 4.9 70.49 .52 27.82 .33 4.52 .13 1.07 .07 17.34 .26 5.0 69.97 -.52 27.49 -.33 4.39 -.13 1.14 +.07 17.60 +.26 124 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Days. ISO 1GO 170 18O 190 Days. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. <1. 5.0 69.97 —.52 27.49 —.33 4.39 —.13 • 1.14 +.07 17.60 +.26 5.1 69.45 .51 27.16 .33 4.26 .13 1.21 .07 17.86 .27 5.2 68.94 .52 26.83 .32 4.13 .13 1.28 .07 18.13 .26 5.3 68.42 .51 26.51 .32 4.00 .12 1.35 .07 18.39 .27 54 67.91 .51 26.19 .32 3.88 .13 1.42 .08 18.66 .27 55 67.40 .51 25.87 .32 3.75 .12 1.50 .08 18.93 .27 5.6 66.89 .50 25.55 .32 3.63 .12 1.58 .08 19.20 .28 5.7 66.39 .51 25.23 .31 3.51 .11 1.66 .08 19.48 .27 5.8 65.88 .50 24.92 .31 3.40 .12 1.74 .08 19.75 .28 5.9 65.38 .50 24.61 .31 3.28 .11 1.82 .09 20.03 .28 6.0 64.88 .50 24.30 .31 3.17 .11 1.91 .08 20.31 .28 6.1 64.38 .50 23.99 .31 3.06 .11 1.99 .09 20.59 .28 6.2 63.88 .49 23.68 .31 2.95 .11 2.08 .10 20.87 .29 6.3 63.39 .50 23.37 .30 2.84 .10 2.18 .09 21.16 .28 6.4 62.89 .49 23.07 .30 2.74 .11 2.27 .09 21.44 .29 6.5 62.40 .49 22.77 .30 2.63 .10 2.36 .10 21.73 .29 6.6 61.91 .49 22.47 .29 2.53 .10 2.46 .10 22.02 .30 6.7 61.42 .48 22.18 .30 2.43 .09 2.56 .10 22.32 .29 6.8 60.94 .49 21.88 .29 2.34 .10 2.66 .10 22.61 .30 6.9 60.45 .48 21.59 .29 2.24 .09 2.76 .11 22.91 .29 7.0 59.97 .48 21.30 .29 2.15 .09 2.87 .11 23.20 .30 7.1 59.49 .48 21.01 .29 2.06 .09 2.98 .11 23.50 .31 7.2 59.01 .48 20.72 .28 1.97 .09 3.09 .11 23.81 .30 7.3 58.53 .47 20.44 .29 1.88 .08 3.20 .11 24.11 .31 7.4 58.06 .48 20.15 .28 1.80 .09 3.31 .12 24.42 .30 7.5 57.58 .47 19.87 .28 1.71 .08 3.43 .11 24.72 .31 7.6 57.11 .47 19.59 .28 1.63 .08 3.54 .12 25.03 .31 7.7 56.64 .46 19.31 .27 1.55 .08 3.66 .12 25.34 .32 7.8 56.18 .47 19.0 1 .28 1.47 .07 3.78 .12 25.66 .31 7.9 55.71 .46 18.76 .27 1.40 .07 3.90 .13 25.97 .32 8.0 55.25 .47 18.49 .27 1.33 .OS 4.03 .13 26.29 .32 8.1 54.78 .46 18.22 .27 1.25 .06 4.16 .13 26.61 .32 8.2 54.32 .45 17.95 .26 1.19 .07 4.29 .13 26.93 .32 8.3 53.87 .46 17.69 .27 1.12 .07 4.42 .13 27.25 .33 8.4 53.41 .46 17.42 .26 1.05 .06 4.55 .13 27.58 .32 8.5 52.95 .45 17.16 .26 0.99 .06 4.68 .14 27.90 .33 8.6 52.50 .45 16.90 .25 0.93 .06 4.82 .14 28.23 .33 8.7 52.05 .45 16.65 .26 0.81? .06 4.96 .14 28.56 .33 8.8 51.60 .45 16.39 .25 0.81 .05 5.10 .14 28.89 .34 8.9 51.15 .44 16.14 .26 0.76 .06 5.24 .15 29.23 .33 9.0 50.71 .44 15.88 .25 0.70 .05 5.39 .14 29.56 .34 • 9.1 50.27 .44 15.63 .24 0.65 .05 5.53 .15 29.90 .34 9.2 49.83 .44 15.39 .25 0.60 .05 5.68 .15 30.24 .34 9.3 49.39 .44 15.14 .24 0.55 .04 5.83 .15 30.58 .34 9.4 48.95 .44 14.90 .25 0.51 .04 5.98 .16 30.92 .34 9.5 48.51 .43 14.65 .24 0.47 .05 6.14 .15 31.26 .35 9.6 48.08 .43 14.41 .23 0.42 .04 6.29 .16 31.61 .35 9.7 47.65 .43 14.18 .24 0.38 .03 6.45 .16 31.96 .35 9.8 47.22 .43 13.94 .23 0.35 .04 6.61 .16 32.31 .35 9.9 46.79 —.43 13.71 -.24 0.31 -.03 6.77 +.17 32.66 +.36 10.0 46.36 13.47 0.28 6.94 33.02 125 TABLE IX. ARGUMENT 4, Equation = 670".500 — 670".3 sin. z — 7".9 sin. 2:. Period, 365.259687 days. Da ys. 20 O 21 O 29 >0 23 (0 2J 0 Days. Equation. Difference Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. d. 0.0 33.0-2 +.35 77.53 +.51 139.00 +.69 215.49 +.83 30 i.7'2 + .95 0.1 33.37 .36 78.07 .53 139.69 .70 216.32 .81 305.67 .95 0.2 33.73 .36 78.60 .54 140.39 .70 217.16 .83 306.6-2 .95 0.3 34.09 .36 79.14 .54 141.09 .69 217.99 .84 307.57 .95 0.4 34.45 .37 79.68 .54 141.78 .70 218.83 .84 308.52 .95 0.5 34.82 .36 80.22 .57) 142.48 .71 219.67 .84 309.47 .95 0.6 35.18 .37 80.77 .55 143.19 .70 220.51 .84 310.4-2 .96 0.7 35.55 .37 81.32 .54 143.89 .70 221.35 .84 311.38 .95 0.8 35.92 .37 81.86 .55 144.59 .71 222.19 .85 31-2.33 .96 0.9 36.29 .37 82.41 .54 145.30 .71 223.04 .84 313.-2!) .96 .0 36.66 .38 82.95 .55 146.01 .70 223.88 .85 314.25 .95 .1 37.04 .37 83.50 .55 146.71 .72 -2-2 1.73 .84 315.20 .96 .2 37.41 .38 84.05 .55 147.43 .71 225.57 .85 316.16 .96 .3 37.79 .38 84.60 .56 148.14 .71 226.42 .85 317.12 .96 .4 38.17 .38 85.16 .56 148.85 .72 227.27 .85 318.0N .97 .5 38.55 .39 85.72 .56 149.57 .71 228.12 £5 319.05 .96 .6 38.94 .38 86.28 .56 150.28 .72 228.97 .86 320.01 .90 .7 39.32 .39 86.84 .56 151.00 .72 •2-2!).H3 .85 320.97 .97 .8 39.71 .39 87.40 .56 151.72 .72 230.68 .86 321.94 .96 .9 40.10 .39 87.96 .57 152.44 .72 '231.5-1 .86 322.90 .97 2.0 40.49 .39 88.53 .56 153.16 .73 232.40 .85 323.87 .96 2.1 40.88 .40 89.09 .57 153.89 .72 233.25 .86 324. H3 .98 2.2 41.28 .39 89.66 .57 154.61 .73 234.11 .86 325.81 .97 2.3 41.67 .40 90.23 .58 155.34 .73 •2:f t.!>7 .87 326.78 .97 2.4 42.07 .40 90.81 .57 156.07 .73 235.84 .86 327.75 .97 2.5 42.47 .40 91.38 .58 156.80 .73 236.70 .86 328.72 .97 2.6 42.87 .41 91.96 .57 157.53 .73 237.56 .87 329.69 .98 2.7 43.28 .40 92.53 .58 158.26 .73 238.43 .87 330.67 .97 2.8 43.68 .41 93.11 .58 158.99 .74 239.30 .86 331.64 .98 2.9 44.09 .41 93.69 .58 159.73 .74 240.16 .87 332.6-2 .97 3.0 44.50 .41 94.27 .59 160.47 .73 241.03 .87 333.59 .98 3.1 44.91 .41 94.86 .58 161.20 .74 241.90 .88 331.:.- .98 3.2 45.32 .41 95.44 .59 161.94 .74 242.78 .87 335.55 .98 3.3 45.73 .42 96.03 .59 162.68 .75 M8J05 • .87 336.53 .98 3.4 46.15 .42 96.62 .59 163.43 .74 244.52 .88 337.51 .98 3.5 46.57 .4-2 97.21 .59 164.17 .75 245.40 .87 H&49 .98 3.6 46.99 .42 97.80 .60 164.92 .74 246.27 .88 339. 17 .98 3.7 47.41 .42 9N. 10 .59 '165.66 .75 247.15 £8 840.45 .99 3.8 47.83 .43 98.99 .60 166.41 .75 248.03 .88 841.44 .98 3.9 48.26 .43 99.59 .60 167.16 .75 248.91 .88 84242 .99 4.0 48.69 .42 100.19 .60 167.91 .75 249.79 .88 343.41 .98 4.1 49.11 .41 100.79 .60 168.66 .76 250.67 .89 844.39 .99 4.2 49.55 ,i:i 101.3!) .60 169.42 .75 251.56 .88 845.38 .!)9 4.3 49.98 ,i:( 101.99 .61 170.17 .76 •2-.-2,l 1 .89 :il(i.:!7 .!)!) 1.1 50.41 .44 102.60 .60 170.93 .76 2.r>3.33 £8 847.36 .99 4.6 50.85 .44 103.20 .61 171.69 .76 264.21 .89 3-48.35 .99 4.6 51.39 .41 108.81 .61 179.46 .7(i •2:>f>. 10 .89 840.34 .99 4.7 51.78 .1 1 104.48 .61 173. -21 .7-,>.<; i .11 lO.YIi 1 .(i-2 174.74 .76 257.77 .90 852-32 .99 5.0 .-,.•<.().-> +. i:> 10(i.-2(i +.61 175.50 +.77 •2.r>s.67 +.89 85&31 + 1.00 126 TABLE IX. ARGUMENT 4. Equation = 670".500— 670". 3 sin, * — 7".9 sin. 2z. Period, 365.259687 days. Days. 2OO aiO 330 33O Mt Days. Equation. Difference. Equation. Difference. Equation. Difference Equation. Difference Equation. Difference. d. 5.0 53.05 +.45 106.26 +.61 175.50 +.77 258.61/ +.89 353.3 +1.00 5.1 53.50 .45 106.87 .62 176.27 .77 259.56 .90 354.3 1.00 5.2 53.95 .45 107.49 .62 177.01 .77 260.46 .89 355.3 .99 5.3 54.40 .45 108.11 .62 177.81 .77 261.35 .90 356.3C 1.00 5.4 54.85 .46 108.73 .63 178.58 .77 262.23 .90 357.30 1.00 5.5 55.31 .45 109.36 .63 179.35 .77 263.15 .90 358.30 1.00 5.6 55.76 .46 109.99 .62 180.12 .78 264.05 .90 359.30 1.00 5.7 56.22 .46 110.61 .62 180.90 .77 264.95 .90 3G0.30 1.00 5.8 56.68 .46 111.23 .63 181.67 .78 265.85 .90 361.30 1.00 5.9 57.14 .46 111.86 .63 182.45 .78 266.75 .91 362.30 1.01 6.0 57.60 .46 112.49 .64 183.23 .78 267.66 .90 363.31 1.00 6.1 58.06 .47 113.13 .63 184.01 .78 268.56 .91 364.31 1.01 6.2 58.53 .47 113.76 .63 184.79 .78 269.47 .91 365.32 1.00 6.3 59.00 .47 114.39 ' .64 185.57 .79 270.38 .91 366.32 1.01 6.4 59.47 .47 115.03 .64 186.36 .78 271.29 .91 367.33 1.01 6.5 59.94 .47 115.67 .64 187.14 .79 272.20 .91 368.34 1. 00 6.6 60.41 .48 116.31 .64 187.93 .79 273.11 .91 369.34 1.01 6.7 60.89 .47 116.95 .65 188.72 .79 274.02 .91 370.35 1.01 6.8 61.36 .48 117.60 .64 189.51 .79 274.93 .92 371.36 1.01 6.9 61.84 .48 118.24 .65 190.30 .79 275.85 .91 372.37 1.02 7.0 62.32 .49 118.89 .64 191.09 .80 276.76 .92 373.39 1.01 7.1 62.81 .48 '119.53 .65 191.89 .79 277.68 .92 374.40 1.01 7.2 63.29 .49 120.18 .66 192.68 .80 278.60 .91 375.41 1.02 7.3 63.78 .48 120.84 .65 193.48 .80 279.51 .92 376.43 1.01 7.4 64.26 .49 121.49 .65 194.28 .80 280.43 .93 377.44 1.02 7.5 64.75 .49 122.14 .66 195.08 .80 281.36 .92 378.1') 1.01 7.6 65.24 -49 122.80 .66 195.88 .80 282.28 .92 379.47 1.02 7.7 65.73 .50 123.46 .66 196.68 .80 283.20 .92 380.49 1.02 7.8 66.23 .49 124.1-2 .66 187.18 .81 284.12 .93 381.51 1.02 7.9 66.72 .50 124.78 .66 198.29 .80 285.05 .92 382.53 1.02 8.0 67.22 .50 125.44 .66 199.09 .81 2^5.97 .93 383.55 1.02 8.1 67.72 .50 126.10 .67 199.90 .81 286.90 .93 384.57 1.02 8.2 68.22 .50 126.77 .66 200.71 .81 287.83 .93 385.59 1.02 8.3 68,72 .51 127.43 .67 201.52 .81 288.76 .93 386.61 1.02 8.4 69.23 .51 128.10 .67 202.33 .81 289.69 .93 387.63 1.03 8.5 69.74 .50 128.77 .67 203.14 .82 290.62 .93 388.66 1.02 8.6 70.24 .51 129.44 .68 203.96 .81 291.55 .94 389.68 1.03 8.7 70.75 .52 130.12 .67 204.77 .82 292.49 .93 390.71 1.02 8.8 71.27 .51 130.79 .67 205.59 .82 293.42 .94 391.73 1.03 8.9 71.78 .51 131.46 .68 206.41 .82 294.36 .93 392.76 1.03 9.0 72.29 .52 132.14 .68 207.23 .82 295.29 .94 39379 1.03 9.1 72.81 .52 132.82 .68 208.05 .82 296.23 .94 394.82 1.02 9.2 73.33 .52 133.50 .68 208.87 .82 297.17 .94 395.84 1.03 9.3 7385 .52 134.18 .69 209.69 .83 298.11 .94 396.87 1.04 9.4 74.37 .52 134.87 .68 210.52 .82 299.05 .94 397.91 1.03 9.5 74.89 .53 135.55 .69 211.34 .83 299.99 .95 398.94 1.03 9.6 75.42 .52 136.24 .69 212.17 .83 300.94 .94 399.97 1.03 9.7 75.94 .53 136.93 .69 213.00 .83 301.88 .95 401.00 1.04 9.8 76.47 .53 137.62 .69 213.83 .83 302.83 .94 402.04 1.03 9.9 77.00 +.53 138.31 +.69 214.66 +.83 303.77 +.95 403.07 +1.04 10.0 77.53 139.00 215.49 304.72 404.11 127 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. * — 7".9 sin. 2z. Period, 365.259687 days. Days. 2tfO 26O 2TO 2SO 290 Daya. Equation. Difference. Equation. Difference. Equation. Difference, Equation. Difference. Equation. Dhl'crence. d. 0.0 404.11 + 1.03 510.84 +1.10 681.96 + 1.12 784.41 + 1.12 845.11 +1.09 0.1 405.14 1.04 511.94 1.09 623.0S 1.13 735.53 1.12 846.20 1.09 0.2 406.18 1.03 513.03 1.10 624.21 1.12 736.65 1.12 8 17.2! 1 .08 0.3 407.21 1.04 514.13 1.09 625.3.'} 1.13 737.77 1.12 8i8.:i7 1.09 0.4 408.25 1.04 515.22 1.10 626.46 1.12 738.89 1.12 8 !!».!( 1.08 0.5 409.29 1.04 516.32 1.10 627.58 1.12 740.01 1.12 850.54 1.09 0.6 410.33 1.04 517.42 1.09 628.70 1.13 741.13 1.12 851.63 1.08 0.7 411.37 1.04 518.51 1.10 629.83 1.12 742.25 1.12 852.71 1.09 0.8 412.41 1.04 519.61 1.10 630.95 1.13 743.37 1.12 853.80 1.08 0.9 413.45 1.05 520.71 1.09 632.08 1.12 744.49 1.12 854.88 1.09 1.0 414.50 1.04 521.80 1.10 633.20 1.12 745.61 1.12 855.97 1.08 1.1 415.54 1.04 522.90 1.10 s 1.12 775.74 1.11 886.01 1.07 3.8 148.96 1.06 552.71 1.11 664,70 1.13 776.85 1.11 886.08 1.07 3.9 445.02 1.06 553.82 1.11 665.83 1.12 777.96 1.11 887.15 1.06 4.0 1 16.08 1.06 55493 1.11 666.95 1.13 779.07 1.11 888.21 1.07 4.1 447.14 1.07 r>;,(i.o i 1.11 lids. Os 1.13 780.18 1.12 889.28 1.07 4.2 448.21 1.06 557.15 1.11 669.21 1.12 7M.:tO 1.11 8!(0. .-{.-> 1.06 4.3 449.27 1.07 588J26 1.11 670.33 1.13 789.41 1.11 8(11.11 1.06 4.4 450.34 1.06 559.37 1.11 671.46 1.12 783.52 1.11 898.47 1.07 4.5 l.-)l.l() 1.07 560.48 1.11 67*58 1.13 784.63 1.11 N93.5 1 1.06 4.6 ir.-j. n 1.06 5*L59 1.12 673.7 1 1.13 7N.-..7 1 1.11 894.60 1.06 4.7 i:>:t..->:i 1.07 :.(;•_'. 7 1 1.11 671>l 1.12 786.85 1.11 896.66 1.07 4.8 i.-.l.iio 1.07 563.82 1.11 675.96 1.13 787.9C 1.10 896.73 1.06 4.9 I/.5.67 1.07 564.93 1.11 677.09 1.12 78i).0li 1.11 807.79 1.06 5.0 i:.i;.7 i +1.06 568.04 + 1.11 H7-V21' +1.13 790.17 +1.11 81)8.85 + 1.06 128 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. a — 7".9 sin. 2z, Period, 365.259687 days. Da ys. 2i SO * SO 21 ro 2 §o 21 M Days. Equation. Di (Terence Equation. Difference Equation. Difference Equation. Difference Equation. Difference. I 5.0 456.74 +1.06 566.04 +1.11 678.21 +1.1 790.17 + 1.1 898.8 + 1.06 5.1 457.80 1.07 567.15 1.12 679.34 1.1 791.28 1.11 899.9 1.06 5.2 458.87 1.07 568.27 1.11 680.4f 1.1 792.38 1.11 900.9 1.06 5.3 459.94 1.08 569.38 1.11 681.59 1.1 793.50 1.10 902.0 1.05 5.4 461.02 1.07 570.49 1.12 682.72 1.1 794.60 1.11 903.0 1.06 5.5 462.09 1.07 571.61 1.11 683.84 1.1 795.71 1.11 904.14 1.06 5.6 463.16 1.07 572.72 1.12 684.97 1.1 796.82 1.10 905.20 1.05 5.7 464.23 1.07 573.84 1.11 686.09 1.13 797.92 1.11 906.25 1.06 5.8 465.30 1.08 574.95 1.12 687.22 1.12 799.03 1.10 907.3 1.05 5.9 466.38 1.07 576.07 1.11 688.34 1.11 800.13 1.11 908.36 1.06 6.0 467.45 1.07 577.18 1.11 689.45 1.14 801.24 1.10 909.42 1.05 6.1 468.52 1.08 578.29 1.12 690.59 1.13 802.34 1.11 910.47 1.05 6.2 469.60 1.08 579.41 1.12 691.72 1.12 803.45 1.10 911.52 1.06 6.3 470.68 1.07 580.53 1.11 692.84 1.13 804.55 1.10 912.58 1.05 6.4 471.75 1.08 581.64 1.12 693.97 1.12 805.65 1.11 913.63 1.05 6.5 472.83 1.08 582.76 1.12 695.09 1.13 806.76 1.10 914.68 1.05 6.6 473.91 1.07 583.88 1.11 696.22 1.13 807.86 1.10 915.73 1.05 6.7 474.98 1.08 581.99 1.12 697.35 1.12 808.96 1.10 916.78 1.05 6.8 476.06 1.08 586.11 1.12 698.47 1.13 810.06 1.11 917.83 1.04 6.9 477.14 1.08 587.23 1.12 699.60 1.12 811.17 1.10 918.87 1.05 7.0 478.22 1.08 588.35 1.11 700.72 1.12 812.27 1.10 919.92 1.05 7.1 479.30 1.08 589.46 1.12 701.84 1.13 813.37 1.10 920.97 1.04 7.2 480.38 1.08 590.58 1.12 702.97 1.12 814.47 1.10 922.01 1.05 7.3 481.46 1.09 591.70 1.12 704.09 1.13 815.57 1.10 923.06 1.04 7.4 482.55 1.08 592.82 1.12 705.22 1.12 816.67 1.10 924.10 1.05 7.5 483.63 1.08 593.94 1.11 706.34 1.13 817.77 1.10 925.15 1.04 7.6 484.71 1.08 595.05 1.12 707.47 1.12 818.87 1.09 926.19 1.04 7.7 485.79 1.09 596.17 1.12 708.59 1.12 819.96 1.10 927.23 1.05 7.8 486.88 1.08 597.29 1.12 709.71 1.13 821.06 1.10 928.28 1.04 7.9 487.96 1.09 598.41 1.12 710.84 1.12 822.16 1.10 929.32 1.04 8.0 489.05 1.08 599.53 1.12 711.96 1.13 823.26 1.09 930.36 1.04 8.1 490.13 1.09 600.65 1.12 713.09 1.12 824.35 1.10 931.40 ' 1.04 8.2 491.22 1.08 601.77 1.12 714.21 1.12 825.45 1.10 932.44 1.04 8.3 492.30 1.09 602.89 1.12 715.33 1.13 826.55 1.09 933.48 1.03 8.4 493.39 1.09 604.01 1.12 716.46 1.12 827.64 1.10 934.51 1.04 8.5 464.48 1.08 605.13 1.12 717.58 1.12 828.74 1.09 935.55 1.04 8.6 495.56 1.09 606.25 1.12 718.70 1.13 829.83 1.10 936.59 1.03 8.7 496.65 1.09 607.37 1.13 719.83 1.12 830.93 1.09 937.62 1.04 8.8 497.74 1.09 608.50 1.12 720.95 1.12 832.02 1.09 938.66 1.03 8.9 498.83 1.09 609.62 1.12 722.07 1.12 833.11 1.10 939.69 1.03 9.0 499.92 1.09 610.74 1.12 723.19 1.13 834.21 1.09 940.72 1.04 9.1 501.01 1.09 611.86 1.12 724.32 1.12 835.30 1.09 941.76 1.03 9.2 502.10 1.09 612.98 1.12 725.44 1.12 836.39 1.09 942.79 1.03 9.3 503.19 1.09 fill. 10 1.13 726.56 1.12 837.48 1.09 943.82 1.03 9.4 504.28 1.09 615.23 1.12 727.68 1.12 838.57 1.09 944.85 1.03 9.5 505.37 1.10 616.35 1.12 728.80 1.13 839.66 1.09 945.88 1.03 9.6 506.47 1.09 617.47 1.12 729.93 1.12 840.75 1.09 946.91 1.02 9.7 507.56 1.09 618.59 1.13 731.05! 1.12 841.84 1.09 947.93 1.03 9.8 508.65 1.10 619.72 1.12 732.17 1.12 842.93 1.09 948.96 1.03 9.9 509.75 -f-1.09 620.84 +1.12 733.29 + 1.12 844.02 +1.09 949.99 + 1.02 10.0 510.84 621.96 734.41 845.11 951.01 129 TABLE IX. ARGUMENT 4. Equation =670".500 — 670".3 sin. z — 7".9 sin. 2z. Period, 365.259687 days. Days. 3OO 310 3*20 330 31O Days. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference. d. 0.0 951.01 +1.03 1019.17 -K93 1136.80 +.81 1211.36 +.67 1270.60 +.51 0.1 952.04 1.02 1050.10 .93 1137.61 .81 1212.03 .67 1271.11 .51 0.2 953.06 1.02 1051.03 .93 1138.42 .83 1212.70 .67 1271.62 .50 0.3 954.08 1.03 1051.96 .93 1139.24 .81 1213.37 .67 1872.12 .51 0.4 955.11 1.02 1052.89 .93 1140.05 .80 1214.04 .66 1272.63 .50 0.5 956.13 1.02 1053.82 .93 1 140.85 .81 1214.70 .67 1273.13 .50 0.6 957.15 1.02 1051.7.') .93 1141.66 .81 1215.37 .66 127:t.(i:{ .50 0.7 958.17 1.02 1055.68 .92 1142.47 .80 1216.03 .66 1274.13 .49 0.8 959.19 1.02 1056.60 .92 1143.27 .81 1216.69 .66 1274.62 .50 0.9 960.21 1.01 1057.52 .93 1144.08 .80 1217.35 .66 1275.12 .49 1.0 961.22 1.02 1058.45 .92 1144.88 .80 1218.01 .65 1275.61 .49 1.1 962.24 1.02 1059.37 .92 1 145.68 .80 1218.66 .66 1276.10 .49 1.2 963.26 1.01 1060.29 .92 1146.48 .80 1219.32 .65 1276.59 .49 1.3 964.27 1.01 1061.21 .92 1147.28 .80 1219.97 .65 1277.08 .49 1.4 965.28 1.02 1062.13 .92 1148.08 .79 1220.62 .65 1277.57 .48 1.5 966.30 1.01 1063.05 .91 1148.87 .80 1221.27 .65 1278.05 .48 1.6 967.31 1.01 1063.96 .92 1149.67 .79 1221.92 .65 1278.53 .48 1.7 968.32 1.01 1064.88 .91 1150.46 .79 1222.57 .64 1279.01 .48 1.8 969.33 1.01 1065.79 .92 1151.25 .79 1223.21 .65 1279.49 .48 1.9 970.34 1.01 1066.71 .91 1152.04 .79 1223.86 .64 1279.-J7 .47 2.0 971.35 1.01 1067.62 .91 1152.83 .79 1224.50 .64 1280.44 .48 2.1 972.36 1.01 1068.53 .91 1153.62 .79 1225.14 .64 1280.92 .47 2.2 973.37 1.01 1069.44 .91 1151 11 .78 1225.78 .63 1281.39 .47 2.3 974.38 1.00 1070.35 .91 1155.19 .78 1226.41 .64 1281.86 .47 2.4 975.38 1.01 1071.26 .91 1155.97 .79 1227.05 .63 1282.33 .47 2.5 976.39 1.00 1072.17 .90 1156.76 .78 1227.68 .64 1282.80 .46 2.6 977.39 1.01 1073.07 .91 115?.f>l .78 1228.32 .63 1283.26 .46 2.7 978.40 1.00 107:{.!)N .90 1 158.32 .78 1228.95 .63 1283.72 .46 2.8 979.40 1.00 1074.88 .90 1159.10 .77 1229.58 .63 1284.18 .46 2.9 980.40 1.00 1075.78 .90 1159.87 .78 1230.21 .62 1284.64 .46 3.0 981.40 1.00 1076.68 .90 1160.65 .77 1230.83 .63 1285.10 .46 3.1 982.40 1.00 1077.58 .90 1161.42 .77 1231.46 .62 1285.56 .45 3.2 983.40 1.00 1078.48 .90 1162.19 .78 1232.08 .62 1286.01 .45 3.3 B84.40 1.00 107!).3N .90 1162.97 .77 1232.70 .62 1286.46 .45 3.4 985.40 .99 1080.28 .89 1163.74 .76 1233.32 .62 1286.91 .45 3.5 986.39 1.00 1081.17 .90 1164.50 .77 123:!.!) 1 .62 1287i86 .45 3.6 987.39 .99 10N2.07 .so 1165.27 .77 1884.56 .61 1287.81 .45 3.7 088.88 1.00 1082.96 .Nil 1166.04 .76 1235.17 .61 1288.26 .44 3.8 089.38 .99 1083.85 .89 1166.80 .76 1235.78 .62 1288.70 .44 3.9 990.37 .99 1084.74 .89 1167.56 .77 1236.40 .61 1289.14 .44 4.0 991.36 .99 1085.63 .89 1168.33 .76 1237.01 .61 1289.58 .44 4.1 999.85 .99 1086.58 .89 1169.09 .75 1237.62 .60 1990.02 .44 4.2 i»!»:i.:{| .99 10N7.41 .88 1169.84 .76 1238.22 .61 1290.46 .43 4.3 «»!M.:n .!)!J 10NN.2!) .89 1170.60 .76 1388.8& .60 1290. N!) .44 4.4 995.32 .99 1089.18 .88 1171.36 .75 123'.). 13 .60 1291.33 .43 4.5 !>!lfi.31 .99 1090.06 .88 1172.11 .75 1240.03 .60 1291.76 .43 4.6 9i)7.:«) .98 1090.94 .89 1172.86 .75 1240.63 .60 1292.19 .42 4.7 99N.28 .99 lO'Jl.N.'t .88 1173.61 .75 1241.23 .60 1292.61 .43 4.8 999.27 .98 1092.71 .88 1174.36 .75 1241.83 .60 1293.04 .42 4.9 1000.25 .W 1093.59 .87 1175.11 .75 1242. 13 .59 [383.46 .43 ^>.o 1001.24 + .98 1094.46 +.88 1175.86 +.75 1243.02 +.59 1293.89 +.42 130 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670". 3 sin. * — 7".9 sin. 2z. Period, 365.259687 days. Days. 3OO 310 • 33O 33O 34O I);iys. Equation. Difference. Equation. Difference. Equation. Difference. Equation. Difference Equation. Difference. d. 5.0 1001.24 +.98 1094.46 +.88 1175.86 + .75 . 1243.02 +.59 1293.8 +.42 5.1 1002.22 .98 1095.34 .88 1176.61 .74 1243.61 .59 1294.3 .41 5.2 1003.20 .98 1096.22 .87 1177.35 .74 1244.20 .59 1294.7 .42 5.3 1004.18 .98 1097.09 .87 1178.09 .74 1244.79 .59 1295.1 .42 5.4 1005.16 .98 1097.96 .88 1178.83 .74 1245.38 .59 1295.5 .41 5.5 1008.14 .97 1098.84 .87 1179.57 .74 1245.97 .58 1295.97 .41 5.6 1007.11 .98 1099.71 .87 1180.31 .74 1246.55 .58 1296.38 .41 5.7 1008.09 .98 1100.58 .87 1181.05 .74 1247.13 .58 1296.79 .41 5.8 1009.07 .97 1101.45 .86 1181.79 .73 1247.71 .58 1297.20 .40 5.9 1010.04 .98 1102.31 .87 1182.52 .73 1248.29 .58 1297.60 .41 6.0 1011.02 .97 1103.18 .86 1183.25 .73 1248.87 .58 1298.0 .40 6.1 1011.99 .97 1104.04 .87 1183.98 .73 1249.45 .57 1298.4 .40 6.2 1012.96 .97 1104.91 .86 1184.71 .73 1250.02 .57 1298.81 .40 6.3 1013.93 .97 1 105.77 .86 1185.44 .73 1250.59 .58 129921 .40 6.4 1014.90 .97 1106.63 .86 1186.17 .73 1251.17 .56 1299.61 .39 6.5 1015.87 .97 1107.49 .86 1186.90 .72 1251.73 .57 1300.00 .39 6.6 1016.84 .97 1108.35 .86 1187.62 .72 1252.30 .57 1300.39 .39 6.7 1017.81 .96 1109.21 .85 1188.34 .72 1252.87 .56 1300.78 .39 6.8 1018.77 .97 1110.06 .86 1189.06 .72 1253.43 .57 1301.17 .39 6.9 1019.74 .96 1110.92 .85 1189.78 .72 1254.00 .56 1301.56 .36 7.0 1020.70 .97 1111.77 .85 1190.50 .72 1254.56 .56 1301.95 .38 7.1 1021.67 .96 1112.62 .85 1191.22 .71 1255.12 .55 1302.33 .38 7.2 1022.63 .96 1113.47 .85 1191.93 .72 1255.67 .56 1302.71 .39 7.3 1023.59 .96 1114.32 .85 1192.65 .71 1256.23 .55 1303.10 .37 7.4 1024.55 .96 1115.17 .85 1193.36 .71 1256.78 .56 1303.47 .38 7.5 1025.51 .96 1116.02 .85 1194.07 .71 1257.34 .55 1303.85 .38 7.6 1026.47 .96 1116.87 .84 1194.78 .71 1257.89 .55 1304.23 .37 7.7 1027.43 .95 1117.71 .85 1195.49 .70 1258.44 .54 1304.60 .37 7.8 1028.38 .96 1118.56 .84 1196.19 .71 1258.98 .55 1304.97 .37 7.9 1029.34 .95 1119.40 .84 1196.90 .70 1259.53 .55 1305.34 .37 8.0 1030.29 .96 1120.24 .84 1197.60 .71 1260.08 .54 1305.71 .36 8.1 1031.25 .95 1121.08 .84 1198.31 .70 1260.62 .54 1306.07 .37 8.2 1032.20 .95 1121.92 .84 1199.01 .69 1261.16 .54 1306.44 .36 8.3 1033.15 .95 1122.76 .83 1199.70 .70 1261.70 .54 1306.80 .36 8.4 1034.10 .95 1123.59 .84 1200.40 .70 1262.24 .53 1307.16 .36 8.5 1035.05 .95 1124.43 .83 1201.10 .69 1262.77 .54 1307.52 .35 8.6 1036.00 .94 1125.26 .84 1201.79 .69 1263.31 .53 1307.87 .36 8.7 1036.94 .95 1126.10 .83 1202.48 .70 1263.84 .53 1308.23 .35 8.8 1037.89 .94 1126.93 .83 1203.18 .69 1264.37 .53 1308.58 .35 8.9 1038.83 .95 1127.76 .82 1203.87 .69 1264.90 .53 1308.93 .35 9.0 1039.78 .94 1128.58 .83 1204.56 .68 1265.43 .52 1309.28 .35 9.1 1040.72 .95 1129.41 .83 1205.24 .69 1265.95 .52 1309.63 .34 9.2 1041.67 .94 1130.24 .82 1205.93 .68 1266.47 .53 1309.97 .35 9.3 1042.61 .94 1131.06 .82 1206.61 .68 1267.00 .52 1310.32 .34 9.4 1043.55 .94 1131.88 .83 1207.29 .69 1267.52 .52 1310.66 .34 9.5 1044.49 .93 1132.71 .82 1207.98 .67 1268.04 .51 1311.00 .34 9.6 1045.42 .94 1133.53 .82 1208.65 .68 1268.55 .52 1311.84 .33 9.7 1046.36 .94 1131.35 .81 1209.33 .68 1269.07 .51 1311.67 .34 9.8 1047.30 .93 1135.16 . .82 1210.01 .67 1269.58 .51 1312.01 .33 9.9 1048.23 -t-.94 1135.98 +.82 1210.68 +.68 1270.09 +.51 1312.34 +.33 10.0 1049.17 1136.80 1211.36 1270.60 t 1312.67 131 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. *— 7".9 »in. 2*. Period, 365.259687 days. Days. :MO 360 Days Equation. Difference. Equation. Difference. d. 0.0 1312.67 +.33 1336".14 +.13 0.1 1313.00 .33 1336.27 .14 0.2 1313.33 .32 1336.41 .13 0.3 1313.65 .33 1336.54 .13 0.4 1313.98 .32 1336.67 .13 0.5 1314.30 .32 1336.80 .13 0.6 1314.62 .31 1336.93 .12 0.7 1314.93 .32 1337.05 .13 0.8 1315.25 .31 1337.18 .12 0.9 1315.56 .31 1337.30 .12 1.0 1315.87 .31 1337.42 .12 1.1 1316.18 .31 1337.54 .11 1.2 1316.49 .31 1337.65 .12 1.3 1316.80 .30 1337.77 .11 1.4 1317.10 .30 1337.88 .11 1.5 1317.40 .30 1337.99 .11 1.6 1317.70 .30 1338.10 .10 1.7 1318.00 .30 1338.20 .11 1.8 1318.30 .30 1338.31 .10 1.9 1318.60 .29 1338.41 .10 2.0 1318.89 .29 1338.51 .10 2.1 1319.18 .29 1338.61 .09 2.2 1319.47 .29 1338.70 .10 23 1319.76 .28 1338.80 .09 2.4 1320.04 .29 1338.89 .09 2.5 1320.33 .28 1338.98 .09 2.6 1320.61 .28 1339.07 .08 2.7 1320.89 .28 1339.15 .09 2.8 1321.17 .27 1339.24 .08 2.9 1321.44 58 1339.32 .08 3.0 1321.72 57 1339.40 .07 3.1 1321.99 .26 1339.47 .08 3.2 1322.25 .27 i:f:j9.55 .08 3.3 1322.52 .27 1339.63 .07 3.4 1322.79 56 1339.70 .07 8.5 1323.05 .27 1339.77 .07 3.6 1323.32 .26 1339.84 .06 3.7 1323.58 .26 1339.90 .07 3.8 1323.84 .26 1339.97 .06 3.9 1324.10 .25 1340.03 .06 4.0 1324.35 .26 1340.09 .06 4.1 1324.61 55 1340.15 .06 4.2 1324.86 55 1340.21 .05 4.3 1325.11 54 1340.26 .06 4.4 1325.35 55 1340.32 .05 4.5 1325.60 54 1340.37 .05 4.6 1325.84 54 1340.42 .04 4.7 1326.08 54 1340.46 .05 4.8 \3M.:u 54 1.-U0.51 .04 4.9 UMJS6 54 1340.55 .04 5.0 1326.80 +53 1340.59 +.03 132 TABLE IX. ARGUMENT 4. Equation = 670".500 — 670".3 sin. *— 7".9 sin. 2*. Period, 365,259687 days. Days. 35O 36O Days. Equation. Difference. Equation. Difference. d. 5.0 1326.80 +.23 1340".59 +.03 5.1 1327.03 .23 1340.62 .04 5.2 1327.26 .24 1340.66 .04 5.3 1327.50 .22 1340.70 .03 5.4 1327.72 .23 1340.73 .03 5.5 1327.95 .22 1340.76 .03 5.6 1328.17 .23 1340.79 .03 5.7 1328.40 .22 1340.82 .02 5.8 1328.62 .22 1340.84 .03 5.9 1328.84 .21 1340.87 .02 6.0 1329.05 .22 1340.89 .02 6.1 1329.27 .21 1340.91 .01 6.2 1329.48 .21 1340.92 .02 6.3 1329.69 .21 1340.94 .01 6.4 1329.90 .21 1340.95 .01 6.5 1330.11 .20 1340.96 .01 6.6 1330.31 .21 1340.97 .01 6.7 1330.52 .20 1340.98 .00 6.8 1330.72 .20 1340.98 .00 6.9 1330.92 .20 1340.98 +.01 7.0 1331.12 .19 1340.99 .00 7.1 1331.31 .20 1340.99 -.01 7.2 1331.51 .19 1340.98 .00 7.3 1331.70 .19 1340.98 .01 7.4 1331.89 .18 1340.97 .00 7.5 1332.07 .19 1340.97 .01 7.6 1332.26 .18 1340.96 .02 7.7 1332.44 .19 1340.94 .01 7.8 1332.63 .18 1340.93 .02 7.9 1332.81 .17 1340.91 .02 8.0 1332.98 .18 1340.89 .02 8.1 1333.16 .17 1340.87 .03 8.2 1333.33 .18 1340.84 .02 8.3 1333.51 .17 1340.82 .03 8.4 1333.68 .17 1340.79 .03 8.5 1333.85 .16 1340.76 .03 8.6 1334.01 .17 1340.73 .03 8.7 1334.18 .16 1340.70 .04 8.8 1334.34 .16 1340.66 .04 8.9 1334.50 .16 1340.62 .04 9.0 1334.66 .16 1340.58 .04 9.1 1334.82 .15 1340;54 .04 9.2 1334.97 .15 1340.50 .04 9.3 1335.12 .15 1340.46 .05 9.4 1335.27 .15 1340.41 .05 9.5 1335.42 .15 1340.36 .05 9.6 1335.57 .15 1340.31 .05 9.7 1335.72 .14 1340.26 .05 9.8 1335.86 .14 1340.21 .06 9.9 1336.00 +.14 1340.15 -.06 10.0 1336.14 1340.09 133 TABLE X. ARGUMENT 5. Equation = 225".300 -j- 18".0 sin. (x — t) — 212".4 sin. 2 (x — /). Period, 411.78517 days. Days. O 1O 2O 30 40 SO Days. Equation. Diar. EquaUun. Diff. Equation. Diff. Equation. Diff Equation, nur Equation. Diff. d. 0.0 15.73 .24 0.73 .05 5.62 .15 29.82 .33 71.00 .48 125.26 .60 0.1 15.49 .25 0.68 .05 5.77 .15 30.15 .84 71.48 .49 125.86 .59 0.2 15.24 .24 0.63 .04 5.92 .15 30.49 .34 71.97 .49 126.45 .59 0.3 15.00 .24 0.59 .05 6.07 .16 30.83 .33 72.46 .49 12704 .60 0.4 14.76 .24 0.54 .04 6.23 .15 31.16 .31 72.95 .49 127.64 .60 0.5 14.52 .23 0.50 .04 6.38 .16 31.50 .34 73.44 .49 128.24 .59 0.6 14.29 .24 0.46 .04 6.54 .16 31.84 .35 73.93 .49 128.83 .60 0.7 14.05 .23 0.42 .03 6.70 .17 82.19 .34 74.42 .50 129.43 .60 0.8 13.82 .23 039 .04 6.87 .16 32.53 .35 74.92 .49 130.03 .60 0.9 13.59 .23 0.35 .03 7.03 .17 32.88 .35 75.41 .50 130.63 .60 1.0 13.36 .23 0.32 .03 7.20 .16 33.23 .35 75.91 .50 131.23 .60 1.1 13.13 .22 0.29 .03 7.36 .17 33.58 .35 76.41 .50 131.83 .60 1.2. 12.91 .23 0.26 .02 7.53 .18 33.93 .35 76.91 .50 13243 .60 1.3 12.68 .22 0.24 .03 7.71 .17 34.28 .36 77.41 .50 188.03 .60 1.4 12.46 .22 0.21 .02 7.88 .18 34.64 .35 77.91 .50 133.63 .60 1.5 12.24 .21 0.19 .02 8.06 .17 34.99 .26 78.41 .51 134.23 .61 1.6 12.03 .22 0.17 .02 8.23 .18 35.35 .36 78.92 .51 18484 .60 1.7 11.81 .22 0.15 .01 8.41 .19 35.71 .36 79.43 .50 135.44 .61 1.8 11.59 .21 0.14 .02 8.60 .18 36.07 .37 79.93 .51 136.05 .60 1.9 11.38 .21 0.12 .01 8.78 .19 36.44 .36 80.44 .51 136.65 .61 2.0 11.17 .20 0.11 .01 8.97 .18 36.80 .37 80.95 .51 137.26 .61 2.1 10.97 .21 0.10 .01 9.15 .19 37.17 .37 81.46 .51 137.87 .60 2.2 10.76 .20 0.09 .00 9.34 .19 37.54 .37 81.97 .52 138.47 .61 2.3 10.56 .20 0.09 .01 9.53 .20 37.91 .37 82.49 .51 139.08 .61 2.4 10.36 .20 0.08 .00 9.73 .19 38.28 .37 83.00 .52 189.69 .61 2.5 10.16 .20 0.08 .00 9.92 .20 38.65 .38 83.52 .51 140.HO .61 2.6 9.96 .20 0.08 .00 10.12 .20 39.03 .87 84.03 .52 140.91 .61 2.7 9.76 .19 0.08 .01 10.32 .20 39.40 ..'is 84.55 .52 141.52 .62 2.8 9.57 .20 0.09 .00 10.52 .20 39.78 .38 85.07 .52 142.14 .61 2.9 9.37 .19 0.09 .01 10.72 .20 40.16 .38 85.59 .52 148.76 .61 3.0 9.18 .19 0.10 .01 10.93 .20 40.51 .38 86.11 .53 148.86 .62 3.1 8.99 .18 0.11 .01 11.13 .21 40.92 .39 86.64 .52 148.98 .61 3.2 8.81 .19 0.12 .02 11.34 .21 41.31 .88 87.16 .52 144.59 .62 3.3 8.62 .18 0.14 .01 11.55 .21 41.69 .89 87.68 .53 145.21 .61 3.4 8.44 .18 0.15 .02 11.76 .22 42.08 .39 88.21 .53 1 I.1.N-J .62 3.5 826 .18 017 .02 11.98 .21 42.47 .89 88.74 .53 116,11 .62 3.6 8.08 .18 0.19 .02 12.19 .22 42.86 .:(!» 89.27 .53 147 06 .62 3.7 7.90 .17 0.21 .03 12.41 .22 13.25 .40 89.80 .58 147.68 .61 3.8 7.73 .18 0.24 .02 12.63 .22 43.65 .89 90.33 .58 L48.29 .62 3.9 7.55 .17 0.26 .03 12.85 .23 44.04 .40 90.86 .53 148.91 .62 4.0 7.38 .16 0.29 .03 13.08 .22 44.41 .40 91.39 .54 I i!).r,:i .62 4.1 ~ •••!•! .17 0.32 .03 iaao ,23 11, M .40 91.93 .53 150.15 .62 4.2 7.o:. .17 0.35 .04 18.68 ,23 45.24 .40 92.46 .54 150.77 .62 4.3 li.V .16 0.39 .03 1376 .28 45.64 .41 98.00 .54 161.39 .63 4.4 6.72 .16 0.42 .04 13.99 £3 46.05 .10 93.54 .54 168.02 .62 4.5 6.56 .16 0.46 .04 1422 .24 Hi. If. .41 94.08 .54 I.VMII .62 •».<; 6.40 .16 0.60 .04 1 1 l>; .23 46.80 .41 94.62 .54 158.26 .68 4.7 6.24 .15 or, i .05 1469 .'.'I 47.27 .41 95.16 .51 158.89 .69 4.8 6.09 .16 0 .:>!• .04 1493 .24 47.68 .41 96.70 .54 164.51 .68 4.9 5.93 .15 (Mi:{ .0.1 15.17 .21 4&09 .41 «)<;.•.> i .55 156.14 .62 5.0 :>.7^ .15 oils .05 15.41 £6 48.50 .41 96.79 .51 155.76 .63 134 TABLE X. ARGUMENT 5. Equation = 225".300 + 18".0 sin. (* — «) — 212".4 sin. 2 (x — t). Period, 411.78517 days. Days. O 1O 2O 30 40 SO Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. 5.0 ii 5.78 .15 0.68 .05 15.41 .25 48.50 .41 96.79 .54 155.76 .63 5.1 5.63 .15 0.73 .05 15.66 .24 48.91 .42 97.33 .55 156.39 .62 5.2 5.48 .14 0.78 .06 15.90 .25 49.33 .42 97.88 .55 157.01 .63 5.3 5.34 .15 0.84 .05 16.15 .25 49.75 .41 98.43 .55 157.64 .63 5.4 5.19 .14 0.89 .06 16.40 .25 50.16 .42 98.98 .55 158.27 .62 5.5 5.05 .14 0.95 .06 16.65 .25 50.58 .43 99.53 .55 158.89 .63 5.6 4.91 .14 1.01 .06 16.90 .26 51.01 .42 100.08 .55 159.52 .63 5.7 4.77 .13 1.07 .07 17.16 .26 51.43 .42 100.63 .55 160.15 .63 5.8 4.64 .14 1.14 .06 17.42 .25 51.85 .43 101.18 .56 160.78 .63 5.9 4.50 .13 1.20 .07 17.67 .26 52.28 .43 101.74 .55 161.41 .63 6.0 4.37 .13 1.27 .07 17.93 .27 52.71 .43 102.29 .56 162.04 .63 6.1 4.24 .12 1.34 .07 18.20 .26 53.14 .43 102.85 .55 162.67 .63 6.2 4.12 .13 1.41 .08 18.46 .27 53.57 .43 103.40 .56 163.30 .63 6.3 3.99 .12 1.49 .07 18.73 .27 54.00 .43 103.96 .56 16393 .63 6.4 3.87 .13 1.56 .08 19.00 .27 54.43 .44 101.52 .56 164.56 .63 6.5 3.74 .12 1.64 .08 19.27 .27 54.87 .44 105.08 .56 165.19 .64 6.6 3.62 .11 1.72 .08 19.54 .27 55.31 .43 105.64 .56 165.83 .63 6.7 351 .12 1.80 .09 19.81 .27 55.74 .44 106.20 .57 166.46 .63 6.8 3.39 .11 1.89 .08 20.08 .28 56.18 .45 106.77 .56 167.09 .64 6.9 3.28 .12 1.97 .09 20.36 .28 56.63 .44 107.33 .56 167.73 .63 7.0 3.16 .11 2.06 .09 20.64 .28 57.07 .44 107.89 .57 168.36 .64 7.1 3.05 .10 2.15 .10 20.92 .28 57.51 .45 108.46 .57 169.00 .63 7.2 2.95 .11 2.25 .09 21.20 .29 57.96 .44 109.03 .56 169.63 .64 7.3 2.84 .10 2.34 .10 21.49 .28 58.40 .45 109.59 .57 170.27 .63 7.4 2.74 .10 2.44 .09 21.77 .29 58.85 .45 110.16 .57 170.90 .64 7.5 2.6 i .10 2.53 .10 22.03 .29 59.30 .45 110.73 .57 171.51 .64 7.6 2.54 .10 2.63 .11 22.35 .29 59.75 .45 111.30 .57 172.18 .63 7.7 2.44 .10 2.74 .10 22.64 .29 60.20 .46 111.87 .58 172.81 .64 7.8 2.34 .09 2.84 .11 22.93 ..'50 60.CG .45 1 12.45 .57 173.45 .64 7.9 2.25 .10 2.95 .10 23.23 .29 61.11 .46 113.02 .57 174.09 .64 8.0 2.15 .09 3.05 .11 23.52 .30 61.57 .43 113.59 .88 174.73 .63 8.1 2.0iJ: .03 3.16 .11 23.82 .30 62.03 .46 114 17 .57 175.36 .64 8.2 1.98 .09 3.27 .12 24.12 .30 62.49 .46 114.74 .58 176.00 .64 8.3 1.89 .08 3.39 .11 24.42 .31 6295 .46 115.32 .58 176.64 .64 8.4 1.81 .09 3.50 .12 24.73 .30 63.41 .47 115.90 .58 177.28 .64 8.5 1.72 .08 3.62 .12 25.03 .31 63.88 .46 116.48 .58 177.92 .64 8.6 1.64 .08 3.74 .12 25.34 .31 64.34 .47 117.06 .58 178.56 .64 8.7 1.56 .07 3.86 .12 25.65 .31 64.81 .47 117.64 .58 179.20 .64 8.8 1.49 .08 3.98 .13 25.96 .31 65.28 .47 118.22 .58 179.84 .64 8.9 1.41 .07 4.11 .13 26.27 .32 65.75 .47 118.80 .58 180.48 .65 9.0 1.34 .07 4.24 .13 26.59 .31 66.22 .47 119.38 .59 181.13 .64 9.1 1.27 .07 4.37 .13 26.90 .32 66.69 .47 119.97 .58 181.77 .64 9.2 1.20 .06 4.50 .13 27.22 .32 67.16 .48 120.55 .59 182.41 .64 9.3 1.14 .07 4.63 .14 27.54 .32 67.64 .47 121.14 .59 183.05 .64 9.4 1,07 .06 4.77 .13 27.86 .32 68.11 .48 121.73 .58 183.69 .65 9.5 1.01 .06 4.90 .14 28.18 .33 68.59 .48 122.31 .59 184.34 .64 9.6 0.95 .06 5.04 .14 28.51 .32 69.07 .48 122.90 .59 184.98 .64 9.7 0.89 .05 5.18 .14 28.83 .33 69.55 .48 123.49 .59 185.62 .65 9.8 0.84 .06 5.32 .15 29.16 .33 70.03 .48 124.08 .59 186.27 .64 9.9 0.78 .05 5.47 .15 29.49 .33 70.51 .49 124.67 .59 186.91 .64 10.0 0.73 .05 5.62 .15 29.82 .33 71.00 .48 125.26 .60 187.55 .65 135 TABLE X. ARGUMENT 5. Equation = 225".300 -f 18".0 sin. (* — «) — 212".4 sin. 2 (i — «}. Period, 411.78517 days. Days. 6O ro 80 90 1OO no D»ys. Equation. DilT. Kqtialion. Dilf Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. // // // u 0.0 187.55 .65 252.09 .64 312.91 .57 364.43 .45 401. 95 .29 422.10 .11 0.1 188.20 .64 252.73 .63 313.48 .57 364.88 .45 402.24 .29 422.21 .10 0.2 188.84 .65 253.36 .64 314.05 .57 365.33 .45 402.53 .29 422.31 .10 0.3 189.49 .64 354.00 .63 314.62 .56 365.78 .45 402.82 .29 422.41 .10 0.4 190.13 .65 254.63 .64 315.18 .57 366.23 .44 403. 1 1 .28 422.51 .10 0.5 190.78 .64 255.27 .63 315.75 .57 366.67 .45 403.39 .29 422.61 .10 0.6 191.42 .65 255.90 .64 316.32 .56 367.12 .44 403.68 .28 422.71 ' .09 0.7 19-2.07 .65 256.54 .63 316.88 .56 367.56 .44 403.96 .28 422.80 .10 0.8 192.72 .64 257.17 .63 317.44 .56 368.00 .44 404.24 .28 422.90 .09 0.9 193.36 .65 257.80 .64 318.00 .57 368.44 .44 404.52 .27 422.99 .09 1.0 194.01 .64 258.44 .63 318.57 .56 368.88 .44 404.79 .28, 423.08 .08 1.1 194.65 .65 259.07 .63 319.13 .55 369.32 .43 405.07 .27 423.16 .09 1.2 195.30 .65 259.70 .63 3 19. (i8 .56 369.75 .44 405.34 .27 423.25 .08 1.3 195.95 .64 260.33 .63 32024 .56 370.19 .43 405.61 .27 423.33 .08 1.4 196.59 .65 260.96 .63 32080 .56 370.62 .43 405.88 .26 423.41 .08 1.5 197.24 .65 261.59 .63 321.36 .55 371.05 .43 406.14 .27 423.49 .08 1.6 197.89 .64 262.22 .63 321.91 .55 371.48 .42 406.41 .26 423.57 .07 1.7 198.53 .65 262 85 .63 322.46 .56 371.90 .44 406.67 .26 423.64 .08 1.8 199.18 .65 263.48 63 323.02 .55 372.34 .42 406.93 .26 423.72 .07 1.9 199.83 .65 264.11 .63 323.57 .55 372.76 .42 407.19 .26 423.79 .07 2.0 200.48 .64 26474 .63 324.12 .55 373.18 .43 407.45 .26 423.86 .07 2.1 201.12 .65 265.37 .62 32467 .55 373.61 .42 407.71 .25 423.93 .06 2.2 201.77 .65 265.99 .63 325.22 .55 374.03 .42 407.96 .26 423.99 .07 2.3 202.42 .65 266.62 .63 :fj:..7? .55 374.45 .41 408.22 .25 424.06 .06 2.4 203.07 .64 267.25 .62 326.32 .54 374.86 .42 408.47 .25 42412 .06 2.5 203.71 .65 267.87 .63 326.86 .55 375.28 .41 408.72 .24 424.18 .06 2.6 204.36 .65 268.50 .62 327.41 .54 375.69 .42 408.96 .25 424.24 .05 2.7 205.01 .65 269.12 .62 327.95 .55 370. 1 1 .41 409.21 .24 424.29 .06 2.8 205.66 .65 269.74 .63 328.50 .54 376.52 .41 409.45 .25 424.35 .05 2.9 206.31 .64 270.37 .62 3-29.04 .54 376.93 .41 409.70 .23 424.40 .05 9.0 200.95 .65 270.99 .62 329.58 .54 377.34 .41 409.93 .24 424.45 .05 3.1 207.60 .65 271.61 .62 330. 12 .54 377.75 .40 410.17 .24 424 50 .04 3.2 208.25 .65 272.23 .62 886.66 .53 378.15 .41 410.41 .23 424.54 .05 3.3 208.90 .64 •27-2.85 .63 891.19 .54 :n,s.r>(i .40 410.64 .24 B4.59 .01 3.4 209.54 .65 273.48 .62 .-a 1.7:1 .53 898.96 .40 410.88 .23 424.63 .04 3.5 210.19 .65 274.10 .62 332.26 .54 379 :tr> ;40 411.11 .23 424.67 .04 3.6 210.84 .65 274.72 .61 888.80 .53 :i7!).7(i .40 411.34 .22 424.71 .03 3.7 211.49 .65 275.33 .62 :t:f:{.:t:f .58 380.16 .39 411.56 .23 434.74 .01 8-8 212.14 .65 '275.!).r> .62 838.86 .53 889.55 .40 411.79 .22 1-2I.7N .03 3.9 '21-2.79 .65 276.57 .62 334.39 .53 380.95 .39 412.01 .22 424.81 .03 4.0 MKi 11 .64 277 lit .61 884.93 .M 381.34 .39 412.-2:! .22 1-JI.M .03 4.1 •2 11. ()s .65 •277.NO .<;-2 :nf> ir. .53 884 .78) .39 412.15 .'2'2 4'?4.87 03 4/2 •21l.7:i .68 278.4-2 .61 :u:> !>s .52 3N-2.12 .:(;» 412.IJ7 .-2-2 K24.90 .02 4.3 315.88 ,65 • <>:! .62 .•cit; :>it .53 :ts-j r, i .89 412.N!) 'M 424.92 JOB t.l 216.03 .65 8W.85 .61 88Y.08 .52 38290 .39 413.101 JS1 424.95 .02 4.5 •210.1^ .64 280.20 .62 88V.55 .52 888.39 .:(s 413.31 .22 424.97 .02 4.6 •2i7.:i-j .<;:> 980.88 .61 888.07 .53 881.67 .38 413.53 .20 484.99 .01 4.7 •217.117 .i;r. 281.49 .61 :i:ts 60 .52 394.05 .88 413.73 .21 425.00 .02 L6 81&62 .<;:. •^.'10 .61 :?:$!>. 1-2 .5-2 38443 ..'w 413.94 .'21 425.02 .01 4.9 219>.21 .65 389.71 .61 :t:tit.(ii .51 884.81 .36 414.15 .20 425.03 .01 5.0 9IK99 .64 28 t :i2 .«2 1 840.15 .52 385.19 .37 414.35 .20 425.04 .01 136 TABLE X. ARGUMENT 5. Equation = 225".300 -f- 18".0 sin. (x — t) — 212" A sin. 2 (* — <)• Period, 411.78517 days. Days. GO 7O 8O 90 1OO 1IO Days. Equation. Diff Kijiiiitiim. Dim Equation. Diff. K<|ii,mi'ii DUE Equation. Diff. Equation. Diff. (1. 5.0 819.92 .61 283.32 .62 340.15 .52 385.19 .37 414.35 .20 425.04 .01 5.1 220.56 .65 283.94 .61 340.67 .52 385.56 .38 414.55 .20 425.05 .01 5.2 221.21 .65 284.55 .60 341.19 .51 385.94 .37 414.75 .20 425.06 .00 5.3 221.86 .65 285. 15 .61 311.70 .51 380.31 .37 414.95 .19 425.06 .01 5.4 222.51 .65 285.76 .61 342.21 .52 386.68 .37 415.14 .20 425.07 .00 5.5 223.16 .64 286.37 .61 342.73 .51 387.05 .37 415.34 .19 425.07 .00 5.6 223.80 .65 286.98 .60 343.24 .50 387.42 .37 41553 .19 425.07 .00 5.7 224.45 .65 287.58 .61 343.74 .51 387.79 .36 415.72 .19 425.07 .01 5.8 225.10 .64 288.19 .61 344.25 .51 388.15 .37 415.91 .18 425.06 .00 5.9 225.74 .65 288.80 .60 344.76 .50 388.52 .35 416.09 .19 425.06 .01 6.0 226.39 .65 289.40 .60 345.26 .51 388.87 .36 416.28 .18 425.05 .01 6.1 227.04 .64 290.00 .60 345.77 .50 389.23 .36 416.46 .18 425.04 .02 6.2 227.68 .65 290.60 .61 346.27 .50 389.59 .36 416.64 .18 425.02 .01 6.3 228.33 .65 291.21 .60 346.77 .51 389.95 .35 416.82 .18 42501 .02 6.4 228.98 .64 291.81 .60 347.28 .49 390.30 .36 417.00 .17 424.99 .01 6.5 229.62 .65 292.41 .60 347.77 .50 390.66 .35 417.17 .17 424.98 .02 6.6 230.27 .64 293.01 .60 348.27 .50 391.01 .35 417.34 .18 424.96 .03 6.7 230.91 .65 293.61 .60 348.77 .49 391.36 .35 417.52 .16 424.93 .02 6.8 231.56 .65 294.21 .59 349.26 .50 391.71 .34 417.68 .17 424.91 .03 6.9 232.21 .64 294.80 .60 349.76 .49 39205 .35 417.85 .17 424.88 .02 7.0 232.85 .64 295.40 .59 350.25 .49 392.40 .34 418.02 .16 424.86 .03 7.1 233.49 .65 295.99 .60 350.74 .49 392.74 .34 418.18 .16 424.83 .04 7.2 234.14 .64 296.59 .59 351.23 .49 393.08 .34 418.34 .16 424.79 .03 7.3 234.78 .65 297.18 .60 351.72 .49 393.42 .34 418.50 .16 424.76 .03 7.4 235.43 .64 297.78 .59 352.21 .49 393.76 .34 418.66 .16 424.73 .04 7.5 236.07 .65 298.37 .59 352.70 .48 394.10 .33 418.82 .15 424.69 .04 7.6 236.72 .64 298.96 .59 353.18 .49 394.43 .33 418.97 .15 424.65 .04 7.7 237.36 .65 299.55 .59 353.67 .48 394.76 .34 419.12 .15 424.61 .04 7.8 238.01 .64 300.14 .59 354.15 .48 395. 10 .33 419.27 .15 424.57 .05 7.9 238.65 .64 300.73 .59 354.63 .48 395.43 .32 419.42 .15 424.52 .05 8.0 239.29 .64 301.32 .59 355.11 .48 395.75 .33 419.57 .14 424.47 .05 8.1 239.93 .65 301.91 .59 355.59 .48 396.08 .32 419.71 .15 424.42 .05 8.2 240.58 .64 302.50 .58 356.07 .47 396.40 .32 419.86 .14 424.37 .05 8.3 241.22 .64 303.08 .59 356.54 .48 396.72 .33 420.00 .14 424.32 .06 8.4 241.86 .64 303.67 .58 357.02 .47 397.05 .32 420.14 .14 424.26 .05 8.5 242.50 .64 304.25 .59 357.49 .48 397.37 .31 420.28 .13 424.21 .06 8.6 348.14 .64 304.84 .58 357.97 .47 397.68 .32 420,41 .13 424.15 .06 8.7 243.78 .65 30542 .58 358.44 .47 398.00 .31 420.51 .14 424.09 .07 8.8 244.43 .64 306.00 .58 358.91 .46 398.31 .32 420.68 .12 424.02 .06 8.9 245.07 .64 306.58 .58 359.37 .47 398.63 .31 420.80 .13 423.96 .07 9.0 245.71 .64 307.16 .58 359.84 .46 398.94 .31 420.93 .13 423.89 .06 9.1 246.35 .64 307.741 .58 360.30 .47 399.25! .31 421.06 .12 423.83 .07 9.2 246.99 .63 308.32 .57 360.77 .46 399.56 .30 421.18 .12 423.76 .08 9.3 247.62 .64 308.89 .58 361.23 .46 399.86 .31 421.30 .12 423.68 .07 9.4 248.26 .64 309.47 .58 361.69 .46 400.17 .30 421.42 .12 423.61 .08 9.5 248.90 .64 310.05 .57 362.15 .46 400.47 .30 421.54 .12 423.53 .07 9.6 249.54 .64 310.62: .57 362.61 .46 400.77 .30 421.66 .11 42346 .08 9.7 250.18 .64 311.19 .58 363.07 .45 401.07 .29 421.77 .11 423.38 .09 9.8 250.82 '.63 311.77 .57 363.52 .46 401.36 .30 421.88 .11 423.29 .09 9.9 251.45 .64 312.31 .57 363.98 .45 401.66 .29 421.99 .11 423.21 .09 10.0 252.09 .64 312.91 .57 364.43 .45 401.95 .29 422.10 .11 423.12 .09 137 TABLE X. ARGUMENT 5. Equation = 225".300 -f 18".0 sin. (x — f) — 212" A sin. 2 (x — t). Period, 411.78517 days. Days. 130 130 14O 150 ICO 17O Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Dirr. d. 0.0 423.12 .09 405.06 .27 369.74 .43 320.59 .55 288.81 .61 200.53 .61 0.1 423.03 .09 404.79 .28 369.31 .43 320.04 .55 261.72 .61 190.9$ .62 0.2 422.94 .09 404.51 .27 368.88 .44 319.49 .55 261.11 .61 189.30 .61 0.3 422.85 .09 404.24 .28 368.44 .43 318.94 .54 260.50 .61 198.69 .62 0.4 422.76 .10 403.96 .28 368.01 .44 318.40 .55 259.89 .62 198.07 .61 0.5 422.66 .09 403.68 .28 367.57 .43 317.85 .56 259.27 .61 197.46 .62 0.6 422.57 .10 403.40 .28 367.14 .44 317.29 .55 258.66 .61 196.84 .61 0.7 422.47 .10 403.12 .29 366.70 .44 316.74 .55 258.05 .61 196.23 .62 0.8 422.37 .11 402.83 .28 366.26 .44 316.19 .55 257.44 .62 195.61 .61 0.9 422.26 .10 402.55 .29 365.82 .44 315.64 .56 256.82 .61 195.00 .61 1.0 482.16 .11 402.26 .29 365.38 .45 315.08 .55 256.21 .61 194.39 .62 1.1 422.05 .11 401 97 .29 364.93 .41 314.53 .56 255.60 .61 193.77 .61 1.2 421.94 .11 401.68 .29 364.49 .45 313.97 .56 254.99 .62 193.16 .61 1.3 421.83 .11 401.39 .30 364.04 .45 313.41 .55 251.37 .61 192.55 .61 1.4 421.72 .12 401.09 .29 363.59 .45 312.86 .56 253.76 .62 191.94 .61 1.5 421.60 .11 400.80 .30 363.14 .45 312.30 .56 253.14 .61 191.33 .62 1.6 421.49 .12 400.50 .30 362.69 .45 311.74 .56 862.5! .62 190.71 .61 1.7 421.37 .12 400.20 .30 362.24 .45 311.18 .56 251.91 .61 190.10 .61 1.8 421.25 .12 399.90 .31 361.79 .46 310.62 .56 251.30 .62 189.49 .61 1.9 421.13 .13 399.59 .30 361.33 .45 310.06 .57 250.68 .61 188.88 .61 2.0 421.00 .12 399.29 .31 360.88 .46 309.49 .56 250.07 .62 188.27 .61 2.1 420.88 .13 398.98 .31 360.42 .46 308.93 .56 249.45 .62 187.66 .61 2.2 420.75 .13 398.67 .31 359.96 .46 308.37 .57 248.83 .61 187.05 .61 2.3 420.62 .13 398.36 .31 359.50 .46 307.80 .56 248.22 .62 186.41 .61 2.4 420.49 .14 398.05 .31 359.04 .46 307.24 .57 247.60 .62 185.83 .60 2.5 420.35 .13 397.74 .32 358.58 .46 306.67 .57 246.98 .61 185.23 .61 2.6 420.22 .14 397.42 .31 358.12 .47 306.10 .57 246.37 .62 184.62 .61 2.7 420.08 .14 397.11 .32 357.65 .46 305.53 .57 245.75 .62 184.01 .61 2.8 419.94 .14 396.79 .32 357.19 .47 304.96 .57 245.13 .62 183.40 .60 2.9 419.80 .14 396.47 .32 356.72 .47 304.39 .57 244.51 .61 182.80 .61 3.0 419.66 .15 396.15 .32 356.25 .47 303.82 .57 243.90 .62 182.19 .61 3.1 419.51 .14 395.83 .33 355.78 .47 303.25 .57 243.28 .62 181.58 .60 3.2 419.37 .15 395.50 .33 355.31 .47 302.68 .57 242.66 .62 180.98 .61 3.3 419.22 .15 395.17 .32 354.84 .48 302.11 .58 242.04 .62 180.37 .60 3.4 419.07 .16 394.85 .33 354.36 .47 301.53 .57 241.42 .62 179.77 .61 3.5 418.91 .15 394.52 .33 353.89 .48 300.96 .58 240.80 .62 179.16 .60 3.6 418.76 .16 394.19 .34 353.41 .47 300.38 .57 240.18 .61 178.56 .60 3.7 418.60 .15 393.85 .33 .-t.VJ.f) I .48 299.81 .58 239.57 .62 177.96 .61 3.8 418.45 .16 393.52 .34 352.46 .48 299.23 .58 238.95 .62 177.35 .60 3.9 418.29 .17 393.18 .34 351.98 .48 298.65 .57 238.33 .62 176.75 .60 4.0 418.12 .16 392.84 .34 351.50 .49 298.08 .58 23771 .62 176.15 .60 4.1 417.96 .17 .-{.' >•_'.;->(> .31 861.01 .48 297.50 .58 887.09 .62 17. ->.:>:, .60 4.2 417.79 .16 392.16 .31 350.53 .48 296.92 .58 •j:u;. 17 .69 174.95 .60 4.3 417.63 .17 991.83 .34 :!:>() ».-> .49 296.34 .58 •J:J.-,.N.-, .62 174.38 .60 4.4 417.46 .17 391.48 .35 349.56 .49 295.76 .58 235.23 .62 173.75 .60 4.5 417.29 .18 391.13 .35 :tl!».07 .48 295.18 .58 231.61 .62 173.15 .60 4.6 417.11 .17 390.78 .:{;> 846.69 .49 294.60 .59 233.K9 .62 172.55 .60 4.7 416.94 .18 890.49 M 348. 10 .49 294.01 .56 •j:t:i.:(7 .62 171.95 .60 4.8 416.76 .18 390.08 .:!.-, 3.17.6 1 .50 293.43 .58 •j:u.7.-> -.62 171.35 .60 4.9 41156 .18 880.73 .:).-» 347.11 .49 292.85 .59 383.13 .62 170.75 .59 5.0 416.40 .18 389.38 .36 346.62 .49 292.26 .58 231.51 .62 170.16 .60 138 TABLE X. ARGUMENT 5. Equation = 225".300 -f 18".0 sin. (x — t) — 212".4 sin. 2 (x — t). Period, 41 1.78517 days. Days. 12O ISO 110 ISO 160 I7O Days. Equation DilT IV[lliUU)li. niir. Equation. Diff. Etjiiaii'Hi. DilT. Equation Diff. Equation. Diff. d. „ lf a 5.0 416.40 .18 389.38 .36 346.62 .48 292 26 .58 231.51 .62 170.16 .60 5.1 416.22 .18 389.02 .35 346.13 .50 291.68 .59 230.89 .63 169 50 .59 5.2 416.04 .19 388.67 .36 345.63 .49 291.09 .59 230.26 .62 168.97 .60 5.3 415.85 .19 388.31 .36 345. 14 .50 290.50 .58 229.64 .62 16837 .60 5.4 415.66 .19 387.95 .37 344.64 .50 289.92 .59 229.02 .62 167.77 .59 5.5 415.47 .19 S87.5S .36 344.14 .50 289.33 .59 228.40 .62 167.18 .59 5.6 415.28 .19 887.2S .36 343.64 .50 288.74 .59 227.78 .62 166.59 .60 5.7 415.09 .20 386.86 .37 343.14 .50 288.15 .59 227.16 .62 165.99 .59 5.8 414.89 .19 386.49 .37 342.64 .51 287.56 .59 226.54 .62 165.40 .59 5.9 414.70 .20 386.12 .37 342.13 .50 286.97 .59 225.92 .62 164.81 .59 6.0 414.50 .20 385.75 .37 341.63 .51 286.38 .59 225.30 .62 164.22 .59 61 414.30 .21 385.38 .37 341.12 .50 285.79 .59 224.68 .62 163.63 .59 6.2 414.09 .20 385.01 .38 340.62 .51 285.20 .60 224.06 .62 163.04 .59 6.3 41389 .21 384.63 .37 340. 1 1 .51 284.60 .59 223.44 .62 162.45 .59 6.4 413.68 .20 384.26 .38 339.60 .51 284.01 .59 222.82 .62 161.86 .59 6.5 413.48 .21 383.88 .38 339.09 .51 283.42 .60 222.20 62 161.27 59 6.6 413.27 .22 383.50 .38 338.58 .51 282.82 .59 221.58 .63 160.68 .58 6.7 413.05 .21 383.12 .38 338.07 .52 282.23 .60 220.5)5 .62 160.10 .59 6.8 41284 .21 382.74 .38 337.55 .51 281.03 .59 220.33 .62 159.51 .59 6.9 412.63 .22 382.36 .39 337.04 .52 281.04 .60 219.71 .62 158.92 .58 7.0 412.41 .22 381.97 .39 336.52 .51 280.44 .60 219.09 .62 158.34 .59 7.1 412.19 .22 381.58 .38 336.01 .52 279.84 .59 218.47 .62 157.75 .58 7.2 411.97 .22 381.20 .39 335.49 .52 279.25 .60 217.85 .62 157.17 .58 7.3 411.75 .23 380.81 .39 334.97 .52 278.65 .60 217.23 .62 156.59 .59 7.4 411.52 .22 380.42 .40 334.45 .52 278.05 .60 216.61 .62 156.00 .58 7.5 411.30 .23 380.02 .39 333.93 .52 277.45 .60 21599 .62 155.42 .58 7.6 411.07 .23 379.63 .39 333.41 .52 276.85 .60 215.37 .62 154.84 .58 7.7 410.84 .23 379.24 .40 332.89 .53 276.25 .60 214.75 .62 154.26 .58 7.8 410.61 .24 378.84 .40 332.36 .52 275.65 .60 214.13 .62 153.68 .58 7.9 410.37 .23 378.44 .40 331.84 .53 275.05 .60 213.51 .62 153.10 .58 8.0 410.14 .24 378.04 .40 331.31 .53 274.45 .60 212.89 .62 152.52 .58 8.1 409.90 .24 377.64 .40 330.78 .52 273.85 .61 212.27 .62 151.94 .57 8.2 409.66 .24 377.24 .41 330.26 .53 273.24 .60 211.65 .62 151.37 .58 8.3 409.42 .24 376.83 .40 329.73 .53 272.64 .60 211.03 .62 150.79 .58 8.4 409.18 .24 376.43 .41 329.20 .53 272.04 .61 210.41 .61 15021 .57 8.5 408.94 .25 376.02 .41 328.67 .54 271.43 .60 209.80 .62 149.64 .57 8.6 408.69 .25 375.61 .41 328.13 .53 270.83 .60 209.18 .62 149.07 .58 8.7 408.44 .25 375.20 .41 327.60 .53 270.23 .61 208.56 .62 148.49 .57 8.8 408.19 .25 374.79 .41 327.07 .54 269.62 .61 207.94 .62 147.92 .57 8.9 407.94 .25 374.38 .42 326.53 .53 269.01 .60 207.32 .62 147.35 .57 9.0 407.69 .26 373.96 .42 326.00 .54 268.41 .61 206.70 .62 146.78 .58 9.1 407.43 .25 373.54! .41 325.46 .54 267.80 .60 206.08 .61 146.20 .57 9.2 407.18 .26 373.13 .42 324.92 .54 267.20 .61 205.47 .62 145.63 .56 9.3 406.92 .26 372.71 .42 324.38 .54 26659 .61 204.85 .62 14507 .57 9.4 406.66 .26 372.29 .42 323.84 .54 265.98 .61 204.23 .61 144.50 .57 9.5 406.40 .27 371.87 .43 323.30 .54 265.37 .60 203.62 .62 143.93 .57 9.6 406.13 .26 371.41 .42 322.76 .54 264.77 .61 203.00 ! .62 143.36 .56 9.7 405.87 .27 371.02 .43 322.22 .55 264.16 .61 202.38! .61 142.80 .57 9.8 405.60 .27 370.59 .42 321.67 .54 263.55 .61 201.77 .62 142.23 .56 9.9 40533 .27 370.17 .43 321.13 .54 262.94 .61 201.15 .62 141.67 .56 10.0 405.06 .27 369.74 • .43 320.59 .55 262.33 .61 200.53 .61 141.11 .57 139 TABLE X. ARGUMENT 5. Equation = 225".300 -4- 18".0 sin. (x — t) — 212".4 sin. 2 (x — t). Period, 41 1.78517 days. ^ Days. 18O 190 2OO 21O 22O 230 D«y.. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff Equation. Diff. Equation. Diff. I 0.0 141.11 .57 89.72 .46 51.31 .31 29.60 .13 26.74 .07 43.15 .25 0.1 140.54 .56 89.26 .45 51.00 .30 29.47 .12 26.81 .07 43.40 .26 0.2 139.98 .56 88.81 .45 50.70 .30 29.35 .12 26.88 .08 43.66 .27 0.3 139.42 .56 88.36 .45 50.40 .30 29.23 .12 26.96 .07 43.93 .26 0.4 138.86 .56 87.91 .45 50.10 .30 29.11 .11 27.03 .08 44.19 .26 0.5 138.30 .56 87.46 .45 49.80 .29 29.00 .12 27.11 .08 44.45 .27 0.6 137.74 .56 87.01 .45 49.51 .30 28.88 .11 27.19 .08 44.72 .27 0.7 137.18 .55 86.56 .45 49.21 .29 28.77 .11 27.27 .08 44.99 .27 0.8 136.63 .56 86.11 .44 48.92 .29 28.66 .11 27.35 .09 45.26 .27 0.9 136.07 .55 85.67 .45 48.63 .29 28.55 .11 27.44 .08 45.53 .28 1.0 135.52 .56 85.22 .44 48.34 .29 28.44 .11 27.52 .09 45.81 .27 1.1 134.96 .55 84.78 .44 48.05 .29 28.33 .10 2761 .09 46.08 .28 1.2 134.41 .55 8434 .44 47.76 .28 28.23 .10 27.70 .10 46.36 .28 1.3 133.86 .56 83.90 .44 47.48 .28 28.13 .10 27.80 .09 46.64 .28 1.4 133.30 .55 83.46 .44 47.20 .28 28.03 .10 27.89 .10 46.92 .28 1.5 132.75 .55 83.02 .43 46.92 .28 27.93 .09 27.99 .10 47.20 .29 1.6 132.20 .55 82.59 .44 46.64 .28 27.84 .09 28.09 .10 47.49 .29 1.7 131.65 .51 82.15 .43 46.36 .28 27.75 .10 28.19 .10 47.78 .28 1.8 131.11 .55 81.72 .43 46.08 .27 27.65 .09 28.29 .10 48.06 .29 1.9 130.56 .55 81.29 .43 45.81 .27 27.56 .08 28.39 .11 48.35 .30 2.0 130.01 .54 80.86 .43 45.54 .27 27.48 .09 2850 .11 48.65 .29 2.1 129.47 .54 80.43 .43 45.27 .27 27.39 .09 28.61 .11 48.94 29 2.2 128.93 .55 80.00 .42 45.00 .27 27.30 .08 28.72 .11 49.23 .30 2.3 128.38 .54 79.58 .43 44.73 .26 27.22 .08 28.83 .11 49.53 .30 2.4 127.84 .51 79.15 .42 44.47 .27 27.14 .08 28.94 .12 49.83 .30 2.5 127.30 .54 78.73 .42 44.20 .26 27.06 .07 29.06 .12 50.13 .30 2.6 126.76 .54 78.31 .42 43.94 .26 26.99 .08 29.18 .12 50.43 .30 2.7 126.22 .54 77.89 .42 43.68 .26 26.91 .07 29.30 .12 50.73 .31 2.8 125.68 .54 77.47 .42 43.42 .25 26.84 .07 29.42 .12 51.04 .31 2.9 125.14 .54 77.05 .41 43.17 .26 26.77 .06 29.54 .13 51.35 .31 3.0 124.60 .53 76.64 .42 42.91 .25 26.71 .07 29.67 .12 51.66 .31 3.1 1-24.07 .51 76.22 .41 42.66 .25 26.64 .07 29.79 .13 51.97 .31 3.2 123.53 .53 75.81 .41 42.41 .25 2657 .06 29.92 .13 52.28 .32 3.3 123.00 .54 75.40 .41 42.16 .25 26.51 .06 30.05 .14 68.60 .82 3.4 122.46 .53 74.99 .41 41.91 .25 26.45 .06 30.19 .13 52.92 .31 3.5 121.93 .53 74.58 .41 41.66 .24 26.39 .06 30.32 .14 53.23 .32 3.6 121.40 .53 74.17 .40 41.42 .24 36.38 .05 30.46 .14 53.r.r. .32 3.7 120.87 .53 73.77 .41 41.18 .24 26.28 .05 30.60 .14 r.:!.N7 .33 3.8 120.34 M 73.36 .40 40.94 .24 26.23 .05 30.74 .14 5 1.20 .32 3.9 119.81 .52 72.96 .40 40.70 .21 26.18 .05 30.88 .15 54.52 .33 4.0 119.29 .r>:t 72.56 .40 40.46 .23 26.13 .05 31.03 .15 54.86 .32 4.1 118.76 .52 72.16 .40 40.23 .24 26.08 .05 31.18 .15 66. 11 .33 4.2 118.24 .5:{ 71.76 .40 89.99 .23 26.03 .04 31.33 .15 55.50 .33 4.3 117.71 .52 71.36 .39 39.76 .22 25.99 .04 31.48 .15 66.88 .34 4.4 117.19 .52 70.97 .40 39.54 .24 25.95 .04 31.63 .15 56.17 .33 4.5 116.67 .52 70.57 .39 39.30 .22 25.91 .04 31.78 .16 56.50 .34 4.6 116.15 .52 70. IN .39 39.08 .23 25.87 .03 31.94 .16 56.84 .34 4.7 115.63 .52 69.79 .39 38.85 .22 25.84 .04 3210 .16 57.18 .34 4.8 115.11 .52 69.40 .39 38.63 .22 25.80 .03 32.26 .16 57.52 .34 4.9 114.59 .51 69.01 .38 38.41 .22 25.77 .03 32.42 .16 57.86 .34 5.0 114.08 .52 68.63 .39 38.19 .22 25.74 .02 32.58 .16 58.20 .35 140 TABLE X. ARGUMENT 5. Equation == 225".300 + 18".0 sin. (x — f)— 212" '.4 sin. 2 (x — <). Period, 41 1,78517 days. Days. 1 8O 19O SCO 21O 220 23O Days. Equation. Diff. Equation. Diff. Equal ion. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. 5.0 114.08 .52 68.63 .39 38.19 .22 25.74 .02 32.58 .16 58.20 .35 5.1 113.56 .51 68.24 .38 37.97 .21 25.72 .03 32.74 .17 58.55 .34 5.2 113.05 .52 67.8S .38 37.76 .21 25.69 .02 32.91 .17 58.89 .35 5.3 112.53 .51 67.48 .38 37.55 .22 25.67 .03 33.08 .17 59.24 .35 5.4 1 12.02 .51 67.10 .38 37.33 .21 25.64 .02 33.25 .18 59.59 .35 5.5 111.51 .51 66.72 .38 37.12 .20 25.62 .01 33.43 .17 59.94 .36 5.6 111.00 .51 66.34 .37 36.92 .21 25.61 .02 33.60 .18 60.30 .35 5.7 110.49 .51 65.97 .38 36.71 .20 25.59 .01 33.78 .18 60.65 .36 5.8 109.98 .50 65.59 .3-7 36.51 .21 25.58 .02 33.96 .18 61.01 .36 5.9 109.48 .51 65.22 .37 36.30 .20 25.56 .01 34.14 .18 61.37 .36 6.0 108.97 .50 64.85 .37 36.10 .20 25.55 .01 34.32 .19 61.73 .35 6.1 108.47 .51 64.48 .37 35.90 .19 25.54 .00 34.51 .18 62.08 .37 6.2 107.96 .50 64.11 .37 35.71 .20 25.54 .01 34.69 .19 62.45 .36 6.3 107.46 .50 63.74 .36 35.51 .19 25.53 .00 34.88 .19 62.81 .37 6.4 106.96 .50 63.38 .37 35.32 .19 25.53 .00 35.07 .19 63.18 .37 6.5 106.46 .50 63.01 .36 35.13 .19 25.53 .00 35.26 .20 63.55 .37 6.6 105.96 .50 62.65 .36 34.94 .19 25.53 .01 35.46 .19 63.92 .37 6.7 105.46 .49 62.29 .3(5 34.75 .19 25.54 .00 35.65 .20 64.29 .37 6.8 104.97 .50 61.93 .35 34.56 .18 25.54 .01 35.85 .20 64.66 .38 6.9 104.47 .49 61.58 .36 34.38 .18 25.55 .01 36.05 .20 65.04 .37 7.0 103.98 .49 61.22 .35 34.20 .18 25.56 .01 36.25 .20 65.41 .38 7.1 103.49 .50 60.87 .35 34.02 .18 25.57 .01 36.45 .21 65.79 .38 7.2 102.99 .49 60.52 .36 33.84 .18 25.58 .02 36.66 .20 66.17 .38 7.3 102.50 .49 60.16 .34 33.66 .17 25.60 .01 36.86 .21 66.55 .38 7.4 102.01 .48 59.82 .35 33.49 .18 25.61 .02 37.07 .21 66.93 .38 7.5 101.53 .49 59.47 .35 33.31 .17 25.63 .02 37.28 .22 67.31 .39 7.6 101.04 .49 59.12 .34 33.14 .17 25.65 .03 37.50 .21 67.70 .39 7.7 100.55 .48 58.78 .34 32.97 .16 25.68 .02 37.71 .22 68.09 .39 7.8 100.07 .49 58.44 .31 32.81 .17 25.70 .03 37.93 .22 68.48 .39 7.9 99.58 .48 58.10 .35 32.64 .16 25.73 .03 38.15 .22 68.87 .39 8.0 99.10 .48 57.75 .33 32.48 .17 25.76 .03 3^.37 22 69.26 .39 8.1 98.62 .48 57.42 .34 32.31 .16 25.79 .03 3S.59 !-22 69.65 .40 8.2 98.14 .48 57.08 .33 32.15 .15 25.82 .03 38.81 .23 70.05 .39 8.3 97.66 .47 56.75 .34 32.00 .16 25.85 .04 39.04 .22 70.44 .40 8.4 97.19 .48 56.41 .33 31.84 .15 25.89 .04 39.26 .23 70.84 .40 8.5 96.71 .47 56.08 .33 31.69 .16 25.93 .04 39.49 .23 71.24 .40 8.6 96.24 .48 55.75 .33 31.53 .15 25.97 .04 39.72 .23 71.64 .40 8.7 95.76 .47 55.42 .32 31.38 .15 26.01 .05 39.95 .24 72.04 .41 8.8 95.29 .47 55.10 .33 31.23 .14 26.06 .04 40.19 .24 72.45 .40 8.9 94.82 .47 54.77 .32 31.09 .15 26.10 .05 40.43 .24 72.85 .41 9.0 94.35 .47 54.45 .32 30.94 .14 26.15 .05 40.67 .23 73.26 .41 9.1 93.88 .47 54.13 .32 30.80 .14 26.20 .05 40.90 .25 73.67 .41 9.2 93.41 .46 53.81 .32 30.66 .14 26.25 .06 41.15 .24 74.08 .41 9.3 92.95 .47 53.49 .32 30.52 .14 26.31 .05 41.39 .25 74.49 .41 9.4 92.48 .46 53.17 .31 30.38 .13 26.36 .06 41.64 .24 74.90 .42 9.5 92.02 .46 52.86 .31 30.25 .14 26.42 .06 41.88 .25 75.32 .42 9.6 91.56 .46 52.55 .32 30.11 .13 26.48 .06 42.13 .25 75.74 .41 9.7 91.10 .46 52.23 .31 29.98 .13 26.54 .07 42.38 .26 76.15 .42 9.8 90.64 .46 51.92 .30 29.85 .13 26.61 .06 42.64 .25 76.57 .42 9.9 90.18 .46 51.62 .31 29.72 .12 26.67 .07 42.89 .26 76.99 .43 10.0 89.72 .46 51.31 .bi 29.60 .13 26.74 .07 43.15 .25 77.42 .42 141 TABLE X. ARGUMENT 5. Equation = 225".300 -(- 18".0 sin. (x — «) — 212".4 sin. 2 (x Period, 411.78517 days. Days. 24O 25O 9GO aro 28O 990 Dajr«. Equation. iinr. Equation. |l, IV Equation. Diff. Equation. DiflT. Equation. ruff Equation. HUT. d. 0.0 77.4-2 .42 12648 .55 185.86 .63 250.12 .65 31334 .61 869.65 .51 0.1 77.84 .42 127.03 .55 186.49 .63 250.77 .65 8ia95 .60 870.16 .51 0.2 78.26 .43 127.58 .55 187. 12 .63 251.42 .64 314.55 .61 370.67 .50 0.3 78.69 .43 128.13 .56 187.75 .63 252.06 .65 315.16 .60 371.17 .51 0.4 79.12 .43 128.69 .55 188.38 .63 252.71 .65 315.76 .61 371.68 .50 0.5 79.55 .43 129.24 .56 189.01 .63 253.36 .65 316.37 .60 372.18 .51 0.6 79.98 .43 129.80 .56 189.64 .63 254.01 .64 316.97 .60 372.69 .50 0.7 80.41 .44 130.36 .55 190.27 .63 254.65 .65 317.57 .60 878.19 .50 0.8 80.85 .43 130.91 .56 190.90 .63 255.30 .65 318.17 .60 373.69 .50 0.9 81.28 .44 131.47 .56 191.53 .63 255.95 .64 318.77 .60 374.19 .50 1.0 81.72 .44 132.03 .57 192.16 .63 256.59 .65 319.37 .60 374.69 .50 1.1 82.16 .44 132.60 .56 192.79 .64 257.24 .64 319.97 .60 375.19 .49 1.2 82.60 .44 133.16 56 193.43 .63 257.88 .65 320.57 .60 375.68 .50 1.3 83.04 .44 133.72 .56 194.06 .64 258.53 .64 321.17 .60 376. IN .49 1.4 83.48 .45 134.28 .57 194.70 .63 259.17 .65 321.77 .59 376.67 .49 1.5 83.93 .44 134.85 .57 195.33 .64 259.82 .fit 322.36 .60 377.16 .49 1.6 84.37 .45 13542 .56 195.97 .63 260.46 .65 322.96 .59 377.65 .49 1.7 84.82 .45 135.98 .57 196.60 .64 261.11 .64 323. :'>.-> .60 378.14 ,49 1.8 85.27 .45 136.55 .57 197.24 .63 261.75 .65 324,15 .59 378.63 .49 1.9 85.72 .45 137.12 .57 197.87 .64 262.40 .64 :!•_' 1.7 1 .59 379.12 .48 2.0 86.17 .45 137.69 .57 198.51 .64 263.04 .65 325.33 .60 379.60 .48 2.1 86.62 .46 138.26 .57 199.15 .63 268.69 .<;i 326.93 .59 380.08 .49 2.2 87.08 .45 138.83 .57 199.78 .61 26483 .65 326.52 .59 380.57 .48 2.3 87.53 .46 139.40 .58 200.42 .64 264.98 .64 \\-i~,. 1 1 .59 881.05 .IS 2.4 87.99 .46 139.98 .57 201.06 .64 265.62 .64 887.70 .58 381.53 .48 2.5 88.45 .46 140.55 .58 201.70 .64 266.26 .61 328.28 .59 382.01 .48 2.6 88.91 .46 141.13 .57 202.34 .63 266.90 .65 328.87 .59 882.49 .47 2.7 89.37 .46 141.70 .58 202.97 .61 267.55 .64 329.46 .59 382.96 .48 2.8 89.83 .46 142.28 .58 203.6 i .64 268.19 .64 880.05 .58 3N3.4 1 .47 2.9 90.29 .47 142.86 .58 204.25 .64 268.83 .64 330.63 .58 383.91 .47 3.0 90.76 .47 143.44 .58 204 89 .64 269.47 .65 331.21 .59 3N 1.38 .47 8.1 91.23! .46 144.02 .58 205.53 .64 270,12 .64 331.80 .58 384.85 .47 3.2 91.69 .47 144.60 .58 206.17 .64 27().7(i .64 332.3N .58 386.32 .47 3.3 92.16 .47 145.18 .58 206.81 .65 271.40 .64 332.96 .58 886.79 .47 3.4 92.63 .48 145.76 .59 207.46 ,64 272.01 .(it :{:cf..-)i .58 386.26 .46 3.5 93.11 .47 146.35 .58 208.10 .(11 272.68 .61 334.12 .58 886.72 .47 3.6 99.66 .47 146.93 .69 208.71 .64 278.82 .(il 884.70 .68 387.19 M 3.7 91.<>:> .48 147.52 .58 209.3s .(il 278.96 .(II 336.28 .58 887.65 .46 3.8 04.53 .48 148.10 .59 210.02 .65 274.60 .<;.-! :i:i;..N(i .57 3KS. 1 1 .46 3.9 95.01 .48 148.69 .59 210.67 .64 275.23 .64 :t:i(i. i:t .57 388.61 .46 4.0 95.49 .48 149.28 .59 211.31 .64 275.87 .61 387.00 .68 389.03 .45 4.1 96.91 .48 I I'.'. si .59 211.95 .64 276.51 .64 :m.;>N .r>7 389.48 .46 4.2 96.45 .48 150.46 .69 213.69 .65 277.15 .64 33H. 1 r> .58 389.94 .45 4.3 0&98 .48 151.05 .59 21 :{.-.> I .64 277.79 .63 33N.73 .57 890.39 .46 4.4 97.41 .49 151.61 .59 219.88 .68 278.42 .64 389.30 .57 390.85 .45 4.5 97.90 .49 ic&sa .69 214.53 .61 270.06 .64 8W.81 .57 391.30 .45 4.6 98.89 .49 L53.82 .60 21.Y 17 .64 279.70 ,68 310 11 ,67 891.75 .45 4.7 9N.NN .48 168.43 .69 215.81 .(;:, 280.33 .(il 841.01 .56 392.20 .44 4.8 99.36 .50 164.01 .59 216.46 .64 280.97 .<;:* 341.57 .57 392.6 1 .45 4.9 99.86 .49 154.60 .60 217.10 .65 281.60 .(il 312.1 1 .56 393.09 .44 5.0 100.35 .49 155.20 .60 217.75 .64 •-'-•.'/.' 1 .68 842.70 .57 393.53 .44 142 TABLE X. ARGUMENT 5. Equation == 225".300 + 18".0 sin. (z — <) — 212".4 sin. 2 (x — *)• Period, 411,78517 days. Days. 24O 25O SCO 27O 380 S9O Days. Equation. DifT. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. 5.0 100.35 .49 155.20 .60 217.75 .64 282.24 .63 342.70 .57 393.53 .44 5.1 100.84 .50 155.80 .59 218.39 .65 282.87 .64 343.27 .56 393.97 .44 5.2 101.31 .49 156.39 .60 219.0- .64 283.51 .63 343.83 .57 394.41 .44 5.3 101.83 .50 156.99 .60 219.68 .65 284.14 .63 344.40 .56 394.85 .44 5.4 102.33 .50 157.59 .60 220.33 .65 284.77 .64 344.96 .56 395.29 .44 5.5 102.83 .50 158.19 .60 220.98 .64 285.41 .63 345.52 .56 395.73 .43 5.6 103.33 .50 158.79 .60 221.62 .65 286.04 .63 346.08 .56 396.16 .44 5.7 103.83 .50 159.39 .60 222.27 .64 286.67 .63 346.64 .5f 396.60 .43 5.8 104.33 .50 159.99 .61 222.91 .65 287.30 .63 347.20 .55 397.03 .43 5.9 104.83 .50 160.60 .60 223.56 .65 287.93 .63 347.75 .56 397.46 .43 6.0 105.33 .51 161.20 .60 224.21 .64 288.56 .63 348.31 .55 397.89 .43 6.1 105.84 .51 161.80 .61 224.85 .65 289.19 .63 348.86 .56 398.32 .42 6.2 106.35 .50 162.41 .60 225.50 .65 289.82 .63 349.42 .55 398.74 .43 6.3 106.85 .51 163.01 .61 226.15 .65 290.45 .63 349.97 .55 399 17 .42 6.4 107.36 .51 163.62 .61 226.80 .64 291.08 .63 350.52 .55 399.59 .42 6.5 107.87 .52 164.23 .61 227.44 .65 291.71 .62 351.07 .55 400.01 .42 6.6 108.39 .51 164.84 .60 228.09 .65 292.33 .63 351.62 .55 400.43 .42 6.7 108.90 .51 165.44 .61 228.74 .65 292.96 .63 352.17 .55 400.85 .42 6.8 109.41 .52 166.05 .61 229.39 .64 293.59 .62 352.72 .55 401.27 .42 6.9 109.93 ,52 166.66 .61 230.03 .65 294.21 .63 353.27 .54 401.69 .41 7.0 110.45 .51 167.27 .61 230.68 .65 294.84 .62 353.81 .54 402.10 .41 7.1 110.96 .52 167.88 .62 231.33 .65 295.46 .63 354.35 .55 402.51 .41 7.2 111.48 .52 168.50 .61 231.98 .65 296.09 .62 354.90 .54 402.92 .41 7.3 1 12.00 .52 169.11 .61 232.63 .64 296.71 .62 355.44 .54 403.33 .40 7.4 112.52 .53 169.72 .62 233.27 .65 297.33 .63 355.98 .54 403.73 .42 7.5 113.05 .52 170.31 .61 233.92 .65 297.9(5 .62 356.5-2 .54 404.15 .40 7.6 113.57 .53 170.95 .61 234.57 .65 298.58 .62 357.06 .54 404.55 .41 7.7 114.10 .52 171.56 .62 235.22 .65 299.20 .63 357.60 .53 404.96 .40 7.8 114.62 .53 172.18 .62 235.87 .C5 299.8.1 .62 358.13 .54 405.36 .40 7.9 115.15 .53 172.80 .61 236.52 .64 300.45 .62 358.67 .53 405.76 .40 8.0 115.68 .53 173.41 .62 237.16 .65 301.07 .62 359.20 .61 406.16 .39 8.1 116.21 .5J 174.03 .62 237.81 .65 301.69 .61 35;,. 74 .53 406.55 .40 8.2 116.74 .53 174.65 .61 238.46 .65 302.30 .62 360.27 .53 406.95 .39 8.3 117.27 .53 175.26 .62 239.11 .65 302.92 .62 360.80 .53 407.34 .40 8.4 117.80 .54 175.88 .62 239.76 .65 303.54 .62 361.33 .53 407.74 .39 8.5 118.34 .53 176.50 .62 240.41 .64 304.16 .62 361.86 .53 408.13 .39 8.6 118.87 .54 177.12 .62 241.05 .65 304.78 .61 362.39 .52 408.52 .38 8.7 119.41 .53 177.74 .62 241.70 .65 305.39 .62 362.91 .53 408.90 .39 8.8 119.94 .54 178.36 .63 242.35 .65 306.01 .61 363.44 .52 409.29 .38 8.9 120.48 .54 178.99 .62 243.00 .65 306.62 .62 363.96 .52 409.67 .39 9.0 121.02 .54 179.61 .62 243.65 .64 307.24 .61 364.48 .53 410.06 .38 9.1 121.56 .54 180.23 .62 244.29 .65 307.85 .61 365.01 .52 410.44 .38 9.2 122.10 .55 180.85 .63 244.94 .65 308.46 .61 365.53 .52 410.82 .38 9.3 122.65 .54 181.48 .62 245.59 .65 309.07 .62 366.05 .52 411.20 .37 9.4 123.19 .55 182.10 .63 246.24 .65 309.69 .61 366.57 .51 411.57 .38 9.5 123.74 .54 182.73 .62 246.89 .64 310.30 .61 367.08 .52 411.95 .37 9.6 124.28 .55 183.35 .63 247.53 .65 310.91 .61 367.60 .51 412.32 .37 9.7 124.83 .55 183.98 .63 248.18 .65 311.52 .60 368.11 .52 412.69 .37 9.8 125.38 .55 184.61 .62 248.83 .65 312.12 .61 368.63 .51 413.06 .37 9.9 125.93 .55 185.23 .63 249.48 .64 312.73 .61 369.14 .51 413.43 .36 10.0 126.48 .55 185.86 .63 250.12 .65 313.34 .61 369.65 .51 413.79 .37 143 TABLE X. ARGUMENT 5. Equation = 225".300 -4- 18".0 sin. (x — t) — 212".4 sin. 2 (x — /). Period, 411.78517 days. Da ys. 34 >o 31 10 :w o 33 (0 :t 0 * »0 Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff Equation. Diff. d. 0.0 413.79 .37 441.63 .19 450.49 .01 439.42 .20 409.31 .39 36-2.78 .53 0.1 414.16 .36 441.82 .18 450.48 .02 439.22 .22 408.92 .39 362.25 .54 0.2 414.52 .37 442.00 .19 450.46 .01 439.00 .21 408.53 .39 361.71 .54 0.3 414.89 .36 442. U) .18 450.45 .02 438.79 .22 408.14 .40 361.17 .54 0.4 415.25 .35 442.37 .17 450.43 .02 438.57 .21 407.74 .39 360.63 .54 0.5 415.60 .36 442.54 .18 450.41 .02 438.36 .22 407.35 .40 360.09 .54 0.6 415.96 .36 442.72 .17 450.39 .03 438.14 .23 106.95 .40 359 55 .54 0.7 416.32 .35 442.89 .17 45036 .02 437.91 .22 406.55 .40 359.01 .55 0.8 416.67 .35 443.06 .16 450.34 .03 437.69 .22 406.15 .40 358,16 .51 0.9 417.02 .35 443.22 .16 450.31 .03 437.47 .23 405.75 .41 357.92 .55 .0 417.37 .35 443.38 .17 450.28 .03 437.24 .23 405.34 .40 357.37 .55 .1 417.72 .35 443.55 .18 450.25 .04 437.01 .23 404.94 .42 356.82 £5 .2 418.07 .34 443.73 .17 450.21 .03 436.78 .23 404.52 .40 356.27 .55 .3 418.41 .34 44390 .16 450.18 .04 436.55 .24 404.12 .41 355.72 .55 .4 418.75 .35 444.06 .16 450.14 .04 436.31 .23 403.71 .42 355.17 .55 .5 419.10 .34 444.22 .15 450.10 .04 436.08 .21 403.29 .41 354.62 .55 .6 419.44 .33 444.37 .16 450.06 .05 435.84 .24 402.88 .42 394.07 .56 .7 419.77 .34 444.53 .15 450.01 .04 435 60 .24 402.46 .41 353.51 .55 .8 420.11 .33 444.68 .15 449.97 .05 435.36 .25 40-2.05 .42 35-2.96 .56 1.9 420.44 .34 444.83 .15 449.92 .05 435.11 .24 401.63 .42 35-2. !0 .56 2.0 420.78 .33 444.98 .15 449.87 .05 434.87 .25 401.21 .42 351.84 .56 2.1 421.11 .33 445.13 .14 449.82 .06 431.6-2 .25 400.79 .43 35 1 .-2S .56 2.2 421.44 .33 445.27 .15 449.76 .05 43437 .25 400.36 .42 350.72 .56 2.3 421.77 .32 445.42 .14 449.71 .07 •m.l-_> .26 399.91 .43 350.16 .56 2.4 4-2-2.09 ..33 445.56 .14 419.64 .05 433.86 .25 399.51 .43 349.60 .56 2.5 422.42 .32 445.70 .13 449.59 .06 433.61 .26 399.08 .43 349.01 .57 2.6 4-2-2.7 1 .32 445.83 .14 449.53 .07 438.35 .26 39N.65 .43 348.47 .57 2.7 4-23.06 .3-2 445.97 .13 44946 .06 I'M 0!) .26 398.22 .43 347.90 .56 2.8 423.38 .3-2 llli.K) .13 110.10 .07 432.83 .26 397.7!) .44 347.34 .57 2.9 423.70 .31 446.23 .13 4 19.33 .06 43-2.57 .27 397.35 .43 346.77 .57 3.0 424.01 .32 446.36 .13 449.26 .07 n&so .26 396.92 .44 346.20 .56 3.1 184.83 .31 416.1!) .13 449.19 .08 43-2.01 .27 396.48 .44 315.64 .58 3.2 •1-2 1.61 .31 446.62 .12 449.11 .07 431.77 .27 396.04 .44 345.06 .57 :t.3 4-21.95 .31 446.74 .12 II1KII .08 131.60 .27 395.60 .44 311.19 .58 3.4 425.26 .31 446.86 .12 148.98 .08 431.23 .28 395.16 .45 343.91 .57 3.5 425.57 .30 446.98 .12 IIS.SS .09 430,!ir> .27 391.71 .44 313.:«l .58 3.6 i-j:>.s7 .30 447.10 .11 lls. 7!i .08 430.CS .28 394.27 .45 31-2.76 .57 3.7 486.11 .31 447.21 .13 149.71 .0!) 430.10 .38 393.82 .45 31-2.1!) .58 3.8 I'Jli. Is .30 447.33 .11 i 18.6-2 .08 430.13 .28 393.37 .45 341.61 .f>8 :{.!» 426.78 .29 447.44 .11 I is r, i .09 4S&84 .28 392.92 .45 841.03 .58 4.0 1-27.07 .30 447.55 .10 4 18.45 .10 429.56 .29 •83.47 .45 840.48 .58 4.1 •1-27.37 £0 447.63 .11 I |s.:t;, .09 42!).-27 .28 39-2.0-2 .46 339.N7 .58 4.2 4-27.67 .-2(t 447.76 .10 1 IH.-JI; .10 ia8.9a .'2!) 391.56 .45 339.29 .59 1.3 •1-27. 96 .-2!) 147.86 .11 lis.it; .10 4-28.70 .39 391.11 .46 338.70 .68 4.4 |-.'s.-.>:, 39 447.97 .10 448.06 .10 428.41 .30 3ilO.<;5 .46 338.1-2 .59 4.5 428.51 .29 14*07 .09 447.96 .10 IMS. I I .29 390.19 .46 337.53 .58 4.6 128.83 .28 UN. Hi .10 1 17 M; .10 1-27.W2 ..-to :isii.7:{ .46 3:i6.!)5 .59 4.7 I-.VI. II .29 448.26 .00 11771! .11 427.52 .29 889.21 .47 336.36 .59 4.8 189.40 .28 I is.:!.-, .10 4 17.65 .11 427.23 .:to :;sss!i .46 335.77 .59 4.9 l-.'D.IJs .28 us. ir, .09 417.51 .11 126.93 .81 3ss.3 i .47 335.18 .59 5.0 4-2!).!l6 .28 i is.:> l .09 117.13 .11 tai.63 .:{() :(s7>7 .47 331.5!) .58 144 TABLE X. ARGUMENT 5. Equation = 2J25".300 + 18".0 sin. (x — t) — 212".4 sin. 2 (x — t). Period, 411.78517 days. Days. 3OO 3IO 32O 3.10 34O 35O Days. Equation. Diff. Equation. DilT. Equation. Diff. Equation. Biff. Equation. Diff. Equal ion. Diff. (1. 5.0 4S&96 .28 448.54 .09 447.43 .11 426.62 .30 387.87 .47 334.59 .58 5.1 430.24 .28 448.63 .08 447.32 .11 426.32 .30 387.40 .46 334.01 .60 5.2 430.52 .27 448.71 .09 447.21 .12 426.02 .31 386.94 .48 333.41 .59 5.3 430.79 .27 448.80 .08 447.09 .12 425.71 .31 386.46 .47 332.82 .59 5.4 431.06 .27 448.88 .08 446.97 .12 425.40 .31 385.99 .47 332.23 .60 5.5 431.33 .27 448.96 .07 446.85 .12 425.09 .31 385.52 .48 331.63 .59 5.6 431.60 .27 449.03 .08 446.73 .12 424.78 .32 385.04 .47 331.04 .60 5.7 431.87 .27 419.11 .07 446.61 .13 424.46 .31 384.57 .48 330.44 .60 5.8 488.14 .26 449.18 .08 446.48 .13 424.15 .32 384.09 .48 329.84 .60 5.9 432.40 .26 449.26 .07 446.35 .13 423.83 .32 383.61 .48 32924 .60 6.0 432.66 .26 449.33 .07 446.22 .12 423.51 .32 383.13 .48 32864 .60 6.1 432.92 .26 449.40 .06 446.10 .14 423.19 .32 382.65 .49 328.04 .60 6.2 433.18 .26 449.46 .07 445.96 .13 422.87 .33 382.16 .48 327.44 .60 6.3 433.44 .26 449.53 .06 445.83 .14 422.54 .32 381.68 .49 326.84 .61 6.4 433.70 .25 449.59 .06 445.69 .14 422.22 .33 381.19 .49 326.23 .60 6.5 433.95 .25 449.65 .06 445.55 .14 421.89 .33 380.70 .49 325.63 .60 6.6 434.20 .25 449.71 .05 445.41 .15 421.56 .33 380.21 .49 325.03 .61 6.7 434.45 .25 449.76 .06 445.26 .14 421.23 .34 379.72 .49 324.42 .61 6.8 434.70 .24 449.82 .05 445.12 .15 420.89 .33 379.23 .49 323.81 .61 6.9 434.94 .25 449.87 .05 444.97 .15 420.56 .34 378.74 .49 323.20 .60 7.0 435.19 .24 449.92 .05 444.82 .15 420.22 .34 378.25 .50 32260 .61 7.1 435.43 .24 449.97 .04 444.67 .16 419.88 .34 377.75 .50 321.99 .61 7.2 435.67 .24 450.01 .05 444.51 .15 419.54 .34 377.25 .50 321.38 .62 7.3 435.91 .23 450.06 .04 444.36 .16 419.20 .34 376.75 .50 320.76 .61 7.4 436.14 .24 450.10 .04 444.20 .16 418.86 .35 376.25 .50 320.15 .61 7.5 436.38 .23 450.14 .04 444.04 .16 418.51 .35 375.75 .50 319.54 .61 7.6 436.61 .23 450.18 .03 443.88 .16 418.16 .35 375.25 .51 318.93 .62 7.7 436.84 .23 450.21 .04 443.72 .17 417.81 .35 374.74 .50 318.31 .62 7.8 437.07 .23 450.25 _ .03 443.55 .17 417.46 .35 374.24 .51 317.69 .61 7.9 437.30 .22 450.28 .03 443.38 .17 417.11 .35 373.73 .51 317.08 .62 8.0 447.52 .23 450.31 • .03 443.21 .16 416.76 .36 373.22 .51 316.46 .62 8.1 437.75 .22 450.34 .02 443.05 .18 416.40 .36 372.71 .51 31584 .62 8.2 437.97 .22 450.36 .03 442.87 .17 416.04 .36 372.20 .51 315.22 .61 8.3 438.19 .22 450.39 .02 442.70 .18 415.68 .36 371.69 .52 314.61 .63 8.4 438.41 .21 450.41 .02 442.52 .18 415.32 .36 371.17 .51 313.98 .62 8.5 438.62 .22 450.43 .02 442.34 .18 414.96 .37 370.66 .52 313.36 .62 8.6 438.84 .21 450.45 .01 442.16 .18 414.59 .36 370.14 .52 312.74 .62 8.7 439.05 .21 450.46 .02 441.98 .19 414.23 .37 369.62 .52 312.12 .63 8.8 439.26 .21 450.48 .01 441.79 .18 413.86 .37 369.10 .52 311.49 .62 8.9 439.47 .20 450.49 .01 441.61 .19 413.49 .37 368.58 .52 310.87 .63 9.0 43967 .21 450.50 .01 441.42 .19 413.12 .38 368.06 .52 310.24 .62 9.1 439.88 .20 450.51 .00 441.23 .20 412.74 .37 367.54 .52 309.62 .63 9.2 440.08 .20 450.51 .01 441.03 .19 412.37| .38 367.02 .53 308.99 .62 9.3 440.28 .20 450.52 .00 440.84 .20 411.99; .37 366.49 .53 308.37 .63 9.4 440.48 .20 450.52 .00 410.64 .20 411.62 .38 365.96 .52 307.74 .63 9.5 440.68 .19 450.52 .00 440.44 .20 411.24 .39 365.44 .53 307.11 .63 9.6 440.87 .20 450.52 .01 440.24 .20 410.85 .38 364.91 .53 306.48 .63 9.7 441.07 .19 450.51 .00 440.04 .20 410.47 .38 364.38 .53 305.85 .63 9.8 441.26 .19 450.51 .01 439.81 .21 410.09 .39 363.85 .54 305.22 .64 9.9 441.45 .18 450.50 .01 439.63 .21 409.70 .39 363.31 .53 304.58 .63 10.0 441.63 .19 450.49 .01 439.42 .20 409.31 .39 362.78 .53 303.95 .63 115 TABLE X. ARGUMENT 5. Equation = 225".300 -4- 18".0 sin. (x — t) — 212".4 sin. 2 (* — f) Period, 411.78517 days. Days. 36O 370 «so 39O 40O 410 4*2O Days. Equation. Din: Equation. Diff. Equation Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. 0.0 303.95 .63 238.08 .68 171.06 .66 108.90 .58 57.16 .45 20.44 .28 i'.97 .09 0.1 303.32 .63 237.40 .67 170.40 .65 108.32 .57 56.71 .45 20.16 .28 1.88 .08 0.2 302.69 .64 236.73 .68 169.75 .66 107.75 .57 56.26 .44 19.88 .27 1.80 .09 0.3 302.05 .64 236.05 .67 169.09 .65 107.18 .57 55.82 .45 19.61 .28 1.71 .08 0.4 301.41 .63 235.38 .68 168.44 .65 106.61 .58 55.37 .44 19.33 .27 1.63 .08 0.5 300.78 .64 234.70 .67 167.79 .66 106.03 .58 54.93 .44 19.06 .27 1.55 .07 0.6 300.14 .64 234.03 .68 167.13 .65 105.45 .57 54.49 .44 18.79 .27 1.48 .08 0.7 299.50 .63 233.35 .67 166.48 .65 104.88 .56 54.05 .44 18.52 .26 1.40 .07 0.8 298.87 .64 232.68 .68 165.83 .65 104.32 .57 53.61 .43 18.26 .27 1.33 .07 0.9 298.23 .64 232.00 .67 165.18 .65 103.75 .57 53.18 .44 17.99 .26 1.26 .07 1.0 297.59 .64 231.33 .68 164.53 .65 103.18 .57 52.74 .43 17.73 .26 1.19 .06 1.1 296.95 .64 230.65 .67 163.88 .65 102.61 .56 52.31 .43 17.47 .26 1.13 .07 1.2 296.31 .64 229.98 .68 163.23 .65 102.05 .57 51.88 .43 17.21 .26 1.06 .06 1.3 295.67 .65 229.30 .67 162.58 .65 101.48 .56 51.45 .42 16.95 .25 1.00 .06 1.4 295.02 .64 228.63 .68 161.93 .65 100.92 .56 51.03 .43 16.70 .26 0.94 .06 1.5 294.38 .64 227.95 .67 161.28 .65 100.36 .57 50.60 .42 16.44 .25 0.88 .05 1.6 293.74 ..65 227.28 .68 160.63 .64 99.79 .56 50.18 .43 16.19 .25 0.83 .06 1.7 293.09 .64 226.60 .68 159.99 .65 99.23 .55 49.75 .42 15.94 .25 0.77 .05 1.8 292.45 .65 225.92 .67 159.34 .64 98.68 .56 49.33 ,1-2 15.69 .24 0.72 .05 1.9 291.80 .64 225.25 .68 158.70 .65 98.12 .56 48.91 .42 15.45 .25 0.67 .05 2.0 291.16 .65 224.57 .67 158.05 .64 97.56 .55 48.49 .42 15.20 .24 0.62 .04 2.1 290.51 .65 223.90 .68 157.41 .65 97.01 .56 48.07 .41 14.96 .24 0.58 .05 2.2 289.86 .64 223.22 .67 156.76 .64 96.45 .55 47.66 .41 14.72 .24 0.53 .04 2.3 28!).22 .65 222.55 .68 156.12 .64 95.90 .55 47.25 .42 14.48 .23 0.49 .04 2.4 288.57 .65 221.87 .68 155.48 .65 95.35 .56 46.83 .41 14.25 .23 0.45 .04 2.5 287.92 .65 221.19 .67 154.83 .64 94.79 .55 46.42 .41 14.02 .23 0.41 .03 2.6 287.27 .65 220.52 .68 164.19 .64 94.24 .54 46.01 .41 13.79 .23 0.38 .04 2.7 286.62 .65 219.84 .67 153.55 .63 93.70 .55 45.60 .40 13.56 .23 0.84 .02 2.8 285.97 .65 219.17 .68 152.92 .64 93.15 .55 45.20 .41 13.33 .23 O.f3 .03 2.9 285.32 .65 218.49 .67 152.28 .64 92.60 .54 44.79 .40 13.10 .22 O.S9 .03 3.0 284.67 .65 217.82 .68 151.64 .63 92.06 .55 44.39 .40 12.88 .23 0.2JS .02 3.1 284.02 .65 217.14 .67 151.01 .64 91.51 .51 43.99 .40 12.65 .22 0.24 .03 3.2 ^s:t.37 .66 216.47 .68 150.37 .64 90.97 .51 43.59 .40 12.43 .22 0.21 .02 3.3 288.71 .65 215.79 .67 149.73 .64 90.43 .54 43.19 .40 12.21 .21 0.19 .02 3.4 282.06 .66 215.12 .67 149.09 .63 89.89 .54 42.79 .39 12.00 .22 0.17 .02 3.5 281.40 .65 214.45 .68 148.46 .64 89.35 J4 42.40 .39 11.78 .22 0.15 .01 3.6 280.75 .66 213.77 .68 147.82 .63 HN.S 1 .18 42.01 .39 11.56 .21 0.14 .02 3.7 280.09 .65 213.09 .67 147.19 .63 88.28 .54 41.62 .88 11.35 .21 0.13 .01 3.8 279.44 .66 212.42 .67 146.56 .64 87.74 .53 41.23 .39 11.14 .20 0.11 .01 3.9 278.78 .65 211.75 .68 145.92 .63 87.21 .54 40.84 .39 10.94 .21 .0.10 .01 4.0 278.13 .66 211.07 .67 145.29 .63 86.67 .53 40.45 .38 10.73 .20 0.09 .00 4.1 277.47 .66 210.40 .68 144.66 .63 86.14 .53 40.07 .88 10.53 .20 0.09 .01 4.2 276.81 .66 209.72 .67 144.03 .63 K5.li 1 ,M 39.68 .88 10.33 .20 0.08 .00 4.3 276.15 .65 209.05 .67 143.40 .63 85.08 M 39.30 .88 10.13 .20 0.08 .00 4.4 275.50 .66 208.38 .68 142.77 .63 84.55 .53 38.92 .38 9.93 .20 0.08 .00 4.5 274.84 .66 207.70 .07 142.14 .62 84.02 .52 38.54 .37 9.73 .19 0.08 .01 4.6 874.18 .66 207.03 .(is 141.52 .63 83.iV) .:>•_> 38.17 .Us 9.54 .20 0.09 .00 4.7 273.52 .66 906.35 .67 140.89 .63 >V!.!»S M 87.78 .37 9.31 .19 0.09 .01 4.8 27-'.N(i .66 205.<;,s .67 140.26 m B9.46 .68 37 1-' .37 9.15 .19 0.10 .01 4.9 2-2.20 .66 205.01 .67 1159.61 .63 81.93 .69 37.05 .37 H.!)(i .18 0.11 .01 5.0 271.54 .66 204.34 .68 139.01 .62 81.41 .51 86.68 M 8.78 .19 0.12 .02 1 Hi TABLE X. ARGUMENT 5. Equation = 225".300 + 1«".0 sin. (x — t) — 212" A sin. 2 (x — t). Period, 41 1.78517 days. Days. 3GO 370 »8O 390 100 410 430 Days. Equation. DilT. Equation. Diff. Equation Diff. Equation. Diff. Equation. Diff Equation Diff. Equation. Ditr. d. a g ii 5.0 271.54 .66 204.34 .68 139.01 .62 81.41 .51 36.68 .36 8.78 .19 6.12 .02 5.1 270.88 .67 203.66 .67 138.39 .62 80.90 .52 36.32 .37 8.59 .18 0.14 .01 5.2 270.21 .66 202.99 .67 137.77 .62 80.38 .52 35.95 .36 8.41 .18 0.15 .02 5.3 269.55 .66 202.32 .67 137.15 .63 79.86 .51 35.59 .36 8.23 .18 0.17 .02 5.4 268.89 .66 201.65 .68 136.52 .62 79.35 .52 35.23 .36 8.05 .18 0.19 .02 5.5 268.23 .67 200.97 .67 135.90 .62 78.P3 .51 34.87 .36 7.87 .17 0.21 .03 5.6 267.56 .66 200.30 .67 135.28 .62 78.32 .51 34.51 .36 7.70 .18 0.24 .02 5.7 266.90 .67 199.63 .67 134.66 .61 77.81 .51 34.15 .36 7.52 .17 0.26 .03 5.8 266.23 .66 198.96 .67 134.05 .62 77.30 .51 33.79 .35 7.35 .16 0.29 .03 5.9 265.57 .67 198.29 .67 133.43 .62 76.79 .51 33.44 .35 7.19 .16 0.32 .04 6.0 264.90 .66 197.62 .67 132.81 .61 76.28 .50 33.09 .35 7.03 .17 0.36 .04 6.1 264.24 .67 196.95 .67 132.20 .62 75.78 .51 32.74 .35 6.86 .16 0.40 .03 6.2 263.57 .67 196.28 .67 131.58 .61 75.27 .50 32.39 .35 6.70 .16 0.43 .04 6.3 262.90 .66 195.61 .67 130.97 .61 74.77 .50 32.04 .35 6.54 .16 0.47 .04 6.4 262.24 .67 194.94 .67 130.36 .62 74.27 .50 31.69 .34 6.38 .16 0.51 .04 6.5 261.57 .67 194.27 .67 129.74 .61 73.77 .50 31.35 .34 6.22 .15 0.55 .05 6.6 260.90 .66 193.60 .67 129.13 .61 73.27 .49 31.01 .34 6.07 .16 0.60 .04 6.7 260.24 .67 192.93 .67 128.52 .61 72.78 .50 30.67 .34 5.91 .15 0.64 .05 6.8 259.57 .67 192.26 .66 127.91 .61 72.28 .49 30.33 .34 5.76 .15 0.69 .05 6.9 258.90 .66 191.60 .67 127.30 .60 71.79 .49 29.99 .33 5.61 .15 0.74 .05 7.0 258.24 .67 190.93 .67 126.70 .61 71.30 .50 29.66 .34 5.46 .14 0.79 .06 7.1 257.57 .67 190.26 .66 126.09 .61 70.80 .49 29.32 .33 5.32 .15 0.85 .05 7.2 256.90 .67 189.60 .67 125.48 .60 70.31 .49 28.99 .33 5.17 .14 0.90 .06 7.3 256.23 .67 188.93 .67 124.88 .61 69.82 .48 28.66 .33 5.03 .14 0.96 .06 7.4 255.56 .67 188.26 .67 124.27 .60 69.34 .49 28.33 .32 4.89 .14 1.02 .06 7.5 254.89 .67 187.59 .66 123.67 .60 68.85 .48 28.01 .33 4.75 .13 1.08 .07 7.6 254.22 .67 186.93 .67 123.07 .60 68.37 .49 27.68 .32 4.62 .14 1.15 .06 7.7 253.55 .67 186.26 .66 122.47 .60 67.88 .48 27.36 .32 4.48 .13 1.21 .07 7.8 252.88 .67 185.60 .67 121.87 .60 67.40 .48 27.04 .32 4.35 .13 1.28 .07 7.9 252.21 .67 184.93 .67 121.27 .60 66.92 .48 26.72 .32 4.22 .12 1.35 .07 8.0 251.54 .67 184.26 .66 120.67 .60 66.44 .48 26.40 .31 4.10 .13 1.42 .08 8.1 250.87 .67 183.60 .66 120.07 .60 65.96 .47 26.09 .32 3.97 .12 1.50 .07 8.2 250.20 .67 182.94 .67 119.47 .60 65.49 .48 25.77 .31 3.85 .13 1.57 .08 8.3 249.53 .68 182.27 .66 118.87 .60 65.01 .47 25.46 .31 3.72 .12 1.65 .08 8.4 248.85 .67 181.61 .66 118.28 .59 64.54 .48 25.15 .31 3.60 .11 1.73 .08 8.5 248.18 .67 180.95 .66 117.69 .59 64.06 .47 24.84 .30 3.49 .12 1.81 .09 8.6 247.51 .67 180.29 .67 117.10 .60 63.59 .46 24.54 .30 3.37 .11 1.90 .08 8.7 246.84 .68 179.62 .66 116.50 .59 63.13 .47 2424 .30 3.26 .12 1.98 .09 8.8 246.16 .67 178.96 .66 115.91 .59 62.66 .47 23.94 .31 3.14 .11 2.07 .09 8.9 245.49 .67 178.30 .66 115.32 .58 62.19 .46 23.63 .30 3.03 .10 2.16 .'10 9.0 244.82 .67 177.64 .66 114.74 .59 61.73- .47 23.33 .29 2.93 .10 2.26 .09 9.1 244.15 .68 176.98 .66 114.15 .59 61.26 .46 23.04 .30 2.83 .10 2.35 .10 9.2 243 47 .67 176.32 .66 113.56 .59 60.80 .46 22.74 .29 2.73 .10 2.45 .09 9.3 242.80 .68 175.66 .66 112.97 .58 60.34 .46 22.45 .30 2.63 .10 2.54 .10 9.4 242.12 .67 175.00 .65 112.39 .58 59.88 .46 22.15 .29 2.53 .10 2.64 .11 9.5 241.45 .67 174.35 .66 111.81 .59 59.42 .45 21.86 .29 2.43 .10 2.75 .10 9.6 240.78 .68 173.69 .66 111.22 .58 58.97 .46 21.57 .28 2.33 .09 2.85 .11 9.7 240.10 .67 173.03 .66 110.64 .58 58.51 .45 21.29 .29 2.24 .10 2.96 .10 9.8 239.43 .68 172.37 .65 110.06 .58 58.06 .45 21.00 .28 2.14 .09 3.06 .11 9.9 238.75 .67 171.721 .66 109.48 .58 57.61 .45 20.72 .28 2.05 .08 3.17 .11 10.0 238.08 .68 171.06 .66 108.90 .58 57.16 .45 20.44 .28 1.97 .09 3.28 .12 147 TABLE XI. ARGUMENT 6. Equation = 206".9 [1 + sin. (2« — z — *)]. Period, 34.846892 days. Days. O 1 » 3 4 .» Days. DarlmaU of a Day. K (ll.ltliMl. iinr Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. K<|il:il n>ii. Diff. Kr m;i!> n| a Dav. .00 1.12 .04 6.61 .03 6.77 .10 19".45 .16 38.18 .22 62.40 .27 1.00 .01 1.08 .04 0.64 .03 6.87 .09 19.61 .16 38.40 .21 62.67 .26 .99 .02 1.04 .04 0.67 .03 6.96 .10 19.77 .16 38.61 .22 62.93 an .98 .03 1.00 .04 0.70 .03 7.06 .09 19.93 .16 38.83 .22 63.20 .27 .97 .04 0.96 .04 0.73 .03 7.15 .10 20.09 .16 39.05 .22 63.47 .27 .96 .05 0.92 .04 0.76 .03 7.25 .10 20.25 .16 39.27 .22 63.74 .27 .95 .06 0.88 .03 0.79 .04 7.35 .10 20.41 .16 39.49 .22 64.01 .27 .94 .07 0.85 .03 0.83 .03 7.45 .10 20.57 .16 39.71 .22 64.28 .27 .93 .08 0.82 .03 0.86 .03 7.55 .10 20.73 .16 39.93 .22 64.55 .27 .92 .09 0.79 .03 0.89 .04 7.65 .10 20.89 .16 40.15 .22 64.82 .27 .91 .10 0.76 .03 0.93 .03 7.75 .10 21.05 .16 40:37 .22 65.09 .27 .90 .11 0.73 .03 0.96 .04 7.85 .10 21.21 .16 40.59 .22 65.36 .27 .89 .12 0.70 .03 1.00 .03 7.95 .10 21.37 .17 40.81 .23 65.63 .27 .88 .13 0.67 .03 1.03 .04 8.05 .11 21.54 .16 41.04 .22 65.90 .28 .87 .14 0.64 .03 1.07 .04 8.16 .10 21.70 .16 41.26 .22 66.18 .27 .86 .15 0.61 .03 1.11 .04 8.26 .11 21.86 .17 41.48 .23 66.45 .27 .85 .16 0.58 .03 1.15 .04 8.37 .10 22.03 .17 41.71 .22 66.72 .28 .84 .17 0.55 .03 1.19 .04 8.47 .11 22.20 .17 41.93 .23 67.00 .27 .83 .18 0.52 .02 1.23 .04 8.58 .11 22.37 .17 42.16 .22 67.27 .28 .82 .19 0.50 .03 1.27 .04 8.69 .11 22.54 .17 42.38 .23 67.55 .28 .81 .20 0.47 .02 1.31 .04 8.80 .11 22.71 .17 42.61 .23 67.83 .27 .80 .21 0.45 .03 1.35 .04 8.91 .11 22.88 .17 42.84 .22 68.10 .28 .79 .22 0.42 .02 1.39 .04 9.02 .11 23.05 .17 43.06 .23 68.38 .2N .78 .23 0.40 .03 1.43 .05 9.13 .11 23.22 .17 43.29 .23 68.66 .27 .77 .24 0.37 .02 1.48 .04 9.24 .11 23.39 .17 43.52 .23 68.93 .28 .76 .25 0.35 .02 1.52 .05 9.35 .11 23.56 .18 43.75 .23 69.21 .28 .75 .26 0.33 .02 1.57 .04 9.46 .11 23.74 .17 43.98 .23 69.49 .28 .74 .27 0.31 .02 1.61 .05 9.57 .12 23.91 .18 44.21 .23 69.77 .28 .73 .28 0.29 .02 1.66 .05 9.69 .11 24.09 .17 44.44 .23 70.05 .28 .72 .29 0.27 .02 1.71 .05 9.80 .11 24.26 .18 44.67 .23 70.33 .28 .71 .30 0.25 .02 1.76 .05 9.91 .12 24.44 .18 44.90 .23 70.61 .28 .70 .31 0.23 .02 1.81 .05 10.03 .11 24.62 .17 45.13 .24 70.89 .28 .69 .32 0.21 .02 1.86 .05 10.14 .12 24.79 .18 45.37 .23 71.17 .28 .68 .33 0.19 .01 1.91 .05 10.26 .11 24.97 .18 45.60 .24 71.45 .28 .67 .34 0.18 .02 1.96 .05 10.37 .12 25.15 .18 45.84 .23 71.73 .29 .66 .35 0.16 .01 2.01 .06 10.49 .12 25.33 .18 46.07 .24 72.02 .28 .65 .36 0.15 .02 2.07 .05 10.61 .11 25.51 .18 46.31 .23 72.30 .28 .64 .37 0.13 .01 2.12 .05 10.72 .12 25.69 .18 46.54 .24 72.58 .29 .63 .38 0.12 .01 2.17 .06 10.84 .12 25.87 .18 46.78 .23 72.87 .28 .62 .39 0.11 .01 2.23 .05 10.96 .12 26.05 .18 47.01 .24 73.15 .29 .61 .40 0.10 .01 2.28 .06 11.08 .12 26.23 .18 47.25 .24 73.44 .29 .60 .41 0.09 .01 2.34 .05 11.20 .12 26.41 .18 47.49 .24 73.73 as .59 .42 0.08 .01 2.39 .06 11.32 .12 26.59 .19 47.73 .24 74.01 .29 .58 .43 0.07 .01 2.45 .06 11.44 .12 26.78 .18 47.97 .24 74.30 .29 .57 .44 0.06 .01 2.51 .05 11.56 .12 26.96 .19 48.21 .24 74.59 .28 .56 .45 0.05 .01 2.56 .06 11.68 .13 27.15 .18 48.45 .24 74.87 .29 .55 .46 0.04 .01 2.62 .06 11.81 .12 27.33 .19 48.69 .24 75.16 .29 .54 .47 0.03 .00 2.68 .06 11.98 .13 27.52 .19 48.93 .24 75.45 .29 .53 .48 0.03 .01 2.74 ,06 12.06 .12 27.71 .19 49.17 .24 75.71 .29 .52 .49 0.02 .00 2.80 .06 12.18 .18 27.90 .19 49.41 .24 76.03 .29 .51 .50 0.02 .01 2.86 .06 12.31 .13 28.09 .19 49.65 .24 76.32 .29 .50 Days. 35 34 33 39 31 3O Days. 118 TABLE XI. ARGUMENT 6. Equation = 206".9 [1 + sin. (2* — z — c)]. Period, 34.846892 days. Days. O 1 2 3 4 5 Days. IVvim il- of a Day Equation. imr. Equation. Dilf. Equation. DilT. Equation. Diff. Equation. Diff. KiliitUiuii. Diff. Decimals if a liny. .50 0.02 .01 2.86 .06 12.31 .13 28.09 .19 49.65 .24 76.32 .29 .50 .51 0.01 .00 2.92 .06 12.44 .13 28.28 .19 49.89 .24 76.61 .29 .49 .52 0.01 .00 2.98 .06 12.57 .13 28.47 .19 50.13 .25 76.90 .29 .48 .53 0.01 .01 3.04 .07 12.70 .13 28.66 .19 50.38 .24 77.19 .29 .47 .54 0.00 .00 3.11 .06 12.83 .13 28.85 .19 50.62 .25 77.48 .29 .46 .55 0.00 .00 3.17 .07 12.96 .13 29.04 .19 50.87 .24 77.77 .30 .45 .56 0.00 .00 3.24 .06 13.09 .13 29.23 .19 51.11 .25 78.07 .29 .44 .57 0.00 .00 3.30 .07 13.22 .13 29.42 .19 51.36 .24 78.36 .29 .43 .58 0.00 .00 3.37 .07 13.35 .13 29.61 .20 51.60 .25 78.65 .30 .42 .59 0.00 .00 3.44 .07 13.48 .13 29.81 .19 51.85 .25 78.95 .29 .41 .60 0.00 .00 3.51 .07 13.61 .14 30.00 .19 52.10 .25 79.24 .29 .40 .61 0.00 .00 3.58 .07 13.75 .13 30.19 .19 52.35 .25 79.53 .30 .39 .62 0.00 .01 3.65 .07 13.88 .14 30.38 .20 52.60 .25 79.83 .29 .38 .63 0.01 .00 3.72 .07 14.02 .13 30.58 .19 52.85 .25 80.12 .29 .37 .64 0.01 .00 3.79 .07 14.15 .14 30.77 .20 53.10 .25 80.41 .30 .36 .65 0.01 .01 3.86 .07 14.29 .14 30.97 .19 53.35 .25 80.71 .29 .35 .66 0.02 .00 3.93 .08 14.43 .13 31.16 .20 53.60 .25 81.00 .30 .34 .67 0.02 .01 4.01 .07 14.56 .14 31.36 .20 53.85 .25 81.30 .29 .33 .68 0.03 .01 4.08 .07 14.70 .14 31.56 .20 54.10 .25 81.59 .30 .32 .69 0.04 .01 4.15 .08 14.84 .14 31.76 .20 54.35 .25 81.89 .30 .31 .70 0.05 .01 4.23 .09 14.98 .14 31.96 .20 55.60 .25 82.19 .30 .30 .71 0.06 .01 4.31 .07 15.12 .14 32.16 .20 54.85 .25 82.49 .29 .29 .72 0.07 .01 4.38 .08 15.26 .14 32.36 .20 55.10 .26 82.78 .30 .28 .73 0.08 .01 4.46 .07 15.40 .14 32.56 .20 55.36 .25 83.08 .30 .27 .74 0.09 .01 4.53 .08 15.54 .15 32.76 .20 55.61 .26 83.38 .30 .26 .75 0.10 .01 4.61 .08 15.69 .14 32.96 .20 55.87 .25 83.68 .30 .25 .76 0.11 .01 4.69 .08 15.83 .15 33.16 .21 56.12 .26 83.98 .80 .24 .77 0.12 .02 4.77 .08 15.98 .14 33.37 .20 56.38 .25 84.28 .30 .23 .78 0.14 .01 4.85 .08 16.12 .15 33.57 .20 56.63 .26 84.58 .30 .22 .79 0.15 .02 4.93 .03 16.27 .15 33.77 .21 56.89 .26 84.88 .30 .21 .80 0.17 .01 5.01 .08 16.42 .15 33.98 .20 57.15 .26 85.18 .30 .20 .81 0.18 .02 5.09 .08 16.57 .14 34.18 .21 57.41 .26 85.48 .30 .19 .82 0.20 .01 5.17 .08 16.71 .15 34.39 .21 57.67 .lw ) 85.78 .30 .18 .83 0.21 .02 5.25 .08 16.86 .15 34.60 .20 57.93 .26 86.08 .31 .17 .84 0.23 .02 5.33 .09 17.01 .15 34.80 .21 58.19 .26 86.39 .30 .16 .85 0.25 .02 5.42 .08 17.16 .15 35.01 .21 58.45 .26 86.69 .30 .15 .86 0.27 .02 5.50 .09 17.31 .15 35.22 .20 58.71 .26 86.99 .31 .14 .87 0.29 .02 5.59 .09 17.46 .15 35.42 .21 58.97 .26 87.30 .30 .13 .88 0.31 .02 5.68 .09 17.61 .15 35.63 .21 59.23 .26 87.60 .31 .12 .89 0.33 .02 5.77 .09 17.76 .15 35.84 .21 59.49 .26 87.91 .31 .11 .90 0.35 .02 5.86 .09 17.91 .15 36.05 .21 59.75 .26 88.22 .31 .10 .91 0.37 .02 5.95 .09 18.06 .15 36.26 .21 60.01 .26 88.53 .30 .09 .92 0.39 .02 6.04 .09 18.21 .15 36.47 .21 60.27 .27 88.83 .31 .08 .93 0.41 .03 6.13 .09 18.36 .15 36.68 .21 60.54 .26 89.14 .31 .07 .94 0.44 .02 6.22 .09 18.51 .16 36.89 .22 60.80 .27 89.45 .31 .06 .95 0.46 .03 6.31 .09 18.67 .15 37.11 .21 61.07 .26 89.76 .30 .05 .96 0.49 .03 6.40 .09 18.82 .16 37.32 .21 61.33 .27 90.06 .31 .04 .97 0.52 .03 6.49 .09 18.98 .15 37.53 .22 61.60 .26 90.37 .31 .03 .98 0.55 .03 6.58 .10 19.13 .16 37.75 .21 61.86 .27 90.68 .31 .02 .99 0.58 .03 6.68 .09 19.29 .16 37.96 .22 62.13 .27 90.99 .31 .01 1.00 0.61J .03 6.77 .10 19.45 .16 38.18 .22 62.40 .27 91.30 .31 .00 Days. 35 34 33 32 31 3O Days. 149 TABLE XI. ARGUMENT 6. Equation = 206".9 [1 + sin. (2< — z — x}}. Period, 34.846892 days. Days. 6 r 8 9 10 1 1 Days. DorimiU.1 •! 1 I'l. Et|Udiiun. Diff. KqililU'hl. Diff. Equation. Diff. K [11 il mil. Diff. K |ii n i»n. Diff Equation. ota ItecinuU >t .1 1 I.H .00 91.30 .31 123.94 .34 159.28 .36 196.14 .37 233.37 .37 269".75 .36 1.00 .01 91.61 .31 124.28 .34 159.64 .36 196.51 .37 233.74 .37 270.11 .36 .99 .02 91.18 .31 124.62 .34 160.00 .37 196.88 .38 234.11 .37 270. 1? .35 .98 .03 92.98 .31 124.96 .35 160.37 .36 197.26 .37 234.48 .37 270.82 .36 .97 .04 92.54 .31 125.31 .34 160.73 .36 197.63 .37 234.85 .37 271.18 .35 .96 .05 92.85 .31 125.65 .34 161.09 .37 198.00 .38 235.22 .37 271.53 .36 .95 .06 93.16 .31 125.99 .35 161.46 .36 198.38 .37 235.59 .37 271.89 .35 .94 .07 93.47 .32 126.34 .34 161.82 .36 198.75 .37 235.96 .37 272.24 .86 .93 .08 93.79 .31 126.68 .34 162.18 .37 199.12 .38 236.33 .37 272.59 .35 .92 .09 94.10 .31 127.02 .35 162.55 .36 199.50 .37 236.70 .37 '272.94 .35 .91 .10 94.41 .31 127.37 .34 162.91 .36 199.87 .37 237.07 .37 273.29 .35 .90 .11 94.72 .32 127.71 .35 163.27 .37 200.24 .37 237.44 .37 273.64 .36 .89 .12 95.04 .31 128.06 .34 163.64 .36 200.61 .38 237.81 .37 274.00 .35 .88 .13 95.35 .31 128.40 .35 164.00 .36 200.99 .37 288.18 .37 274.35 .35 .87 .14 95.66 .32 128.75 .35 164.36 .37 201.36 .37 238.55 .37 274.70 .35 .86 .15 95.98 .31 129.10 .34 164.73 .36 201.73 .38 238.92 .37 275.05 .35 .85 .16 96.29 .32 129.44 .35 165.09 .37 202.11 .37 239.29 .36 275.40 .35 .84 .17 96.61 .31 129.79 .35 165.46 .36 202.48 .37 239.65 .37 275.75 .36 .83 .18 96.92 .32 130.14 .34 165.82 .37 202.85 .38 240.02 .37 276.11 .35 .82 .19 97.24 .32 130.48 .35 166.19 .37 203.23 .37 240.39 .37 276.46 .35 .HI .20 97.56 .32 130.83 .35 166.56 .36 203.60 .37 240.76 .37 276.81 .35 .80 .21 97.88 .31 131.18 .34 166.92 .37 203.97 J7 241.13 .36 277.16 .35 .79 .22 98.19 .32 131.52 .35 167.29 .37 201.34 .38 241.49 .37 277.51 .35 .78 .23 98.51 JB 131.87 .35 167.66 .36 304.78 37 2 1 1 ,s(i .37 277.86 .35 .77 .24 98.83 .32 132.22 .34 168.02 .37 205.09 .37 242.23 .37 278.21 .35 .76 .25 99.15 .31 132.56 .35 168.39 .37 205.46 .38 242.60 .37 278.56 .35 .75 .26 99.46 .32 182.81 .35 168.76 .36 205/84 .37 2 1-,'.!I7 .36 278.91 .35 .74 .27 99.78 .32 133.26 .35 169.12 .37 206.21 .37 2 13.33 .37 279.26 .35 .7.'} .28 100.10 .32 133.8] .35 169.49 .37 206.58 .38 213.70 .37 279.61 .35 .72 .29 100.42 .32 133.96 .35 169.86 .36 206.96 .37 244.07 .36 279.96 .35 .71 .30 100.74 .32 134.31 .35 170.22 .37 207.33 .37 244.43 .37 280.ai .35 .70 .31 101.06 .32 134.66 .35 170.59 .37 207.70 .37 244.80 .37 280.66 .35 .69 .32 101.38 .32 135.01 .35 170.96 .:jfi 208.07 .38 245.17 .:«; 281.01 .35 .68 .33 101.70 Ja 135.36 .35 171.32 .37 208.45 .37 245.53 .37 281.36 .35 .67 .34 102.02 .32 135.71 .35 171.69 .37 208.82 .87 245.90 .36 281.71 .34 .66 .35 102.34 .33 136.06 .35 172.06 .37 209.19 .38 246.26 .37 282.05 .35 .65 .36 10267 .32 136.41 .35 172.43 .36 209.57 .37 246.63 .36 282.40 .35 .64 .37 102.99 .32 136.76 .35 172.79 .87 209.94 .37 246.99 .37 282.75 .36 .68 .38 103.31 ja 137.11 M 178.16 .37 210.31 M 217.36 .86 288.10 .31 jfiS .39 103.64 .32 137.46 .35 173.53 .37 210.69 .37 247.79 .37 283.44 .35 .61 .40 ID8J6 .32 137.81 M 173.90 .37 211.06 .37 248.09 .36 288.79 .35 .60 .41 104.88 J8 138.16 .35 174.27 .37 211.43 .88 248.46 .37 284.14 .31 .59 M 10l.fi! .32 138.51 .35 174.64 .86 211.81 .37 2 IN.N2 .86 284.48 .86 .58 .43 104.98 M 138.86 M 175.00 .87 212.18 .87 249.18 .37 284.88 .86 .57 .11 105.26 ja 139.21 .36 175.37 .37 212.55 .38 •2 I! 1.55 .36 285.18 .34 .56 .45 106.M .98 13957 JB 175.74 .:n 212.93 .37 249.91 .37 285.52 .35 .55 .46 10591 .:t:i 139.99 M 176.11 J7 213.30 .37 250.28 .86 285.87 .34 .51 .47 io<; -.- 1 .32 140.27 .35 176.48 .37 213.li7 .:is 25o.<; i .37 286.21 .86 .53 .48 KM; .-,fi .33 140.62 .86 176.96 .37 214.05 .37 251.01 .3(i 286.56 .31 .52 .49 Ktii.sii .33 140.98 M 177.99 XI 214.42 .37 2)51.87 .37 286.90 .34 .51 .50 107.2.' .32 141.33 M 177.59 .37 214.79 .37 251.74 .36 287.24 .34 .50 Days. 89 38 97 96 93 94 Days. 150 TABLE XI. ARGUMENT 6, Equation = 206".9 [1 4- sin. (2« — z — *)]. Period, 84.846892 days. Days. 6 7 8 9 1O 1 1 Days. toctmali >f a Uiff. Equation. Diff. Equation. Diff. Equation. Diff. )ecimal.s if a Day _ it .50 107.22 .32 141.33 .35 177.59 .37 214.79 .37 251.74 .36 287.24 .34 .50 .51 107. 5 1 .33 141.68 .36 177.96 .37 215.16 .38 252.10 .37 287.58 .35 .49 .52 107.87 .33 142.04 .35 178.33 .37 215.54 .37 252.47 .36 287.93 .34 .48 .53 108.20 .32 142.39 ,35 178.70 .37 215.91 .37 252.83 .36 288.27 .34 .47 .54 108.52 .33 142.74 .36 179.07 .37 216.28 .38 253.19 .37 288.61 .34 .46 .55 108.85 .33 143.10 .35 179.44 .37 216.66 .37 253.56 .36 288.95 .34 .45 .56 109.18 .33 143.45 .36 179.81 .37 217.03 .37 253.92 .36 289.29 .35 .44 .57 109.51 .33 1 13.8 1 .35 180.18 .37 217.40 .38 254.28 .36 289.64 .34 .43 .58 109.81 .33 114.16 .36 180.55 .37 217.78 .37 254.64 .37 289.98 .34 .42 .59 110.17 .33 144.52 .36 180.92 .37 218.15 .37 255.01 .36 290.32 .34 .41 .60 110.50 .33 144.88 .35 181.29 .37 218.52 .37 255.37 .36 290.66 .34 .40 .61 110.83 .33 145.23 .36 181.66 .37 218.89 .38 255.73 .37 291.00 .34 .39 .62 111.16 .33 145.59 .36 182.03 .37 219.27 .37 256.10 .36 291.34 .34 .38 .63 111.49 .33 145.95 .35 182.40 .37 219.64 .37 256. 16 .36 291.68 .34 .37 .64 111.82 .33 146.30 .36 182.77 .37 220.01 .37 256.82 .36 292.02 .34 .36 .65 112.15 .33 146.66 .36 183.14 .37 220.38 .37 257.18 .37 292.36 .34 .35 .66 112.48 .34 147.02 .35 183.51 .37 220.75 .38 257.55 .36 292.70 .34 .34 .67 112.82 .33 147.37 .36 183.88 .37 221.13 .37 257.91 .36 293.04 .34 .33 .68 113.15 .33 147.73 .36 184.25 .37 221.50 .37 258.27 .36 293.38 .34 .32 .69 113.48 .33 148.09 .36 184.62 .37 221.87 .37 258.63 .36 293.72 .34 .31 .70 113.81 .34 148.45 4s 181.99 .37 22224 .37 2,18.99 .36 294.06 .34 .30 .71 114.15 .33 148.81 .35 185.36 .37 222.61 .38 259.35 .36 294.40 .34 .29 .72 114.48 .33 149.16 .36 185.73 .37 222.99 .37 259.71 .36 294.74 .33 .28 .73 114.81 .34 149.52 .36 186.10 .37 223.36 .37 260.07 .36 295.07 .34 .27 .74 115.15 .33 149.88 .36 186.47 .37 223.73 .37 260.43 .36 295.41 .34 .26 .75 115.48 .34 150.24 .36 186.84 .38 224.10 .37 260.79 .36 295.75 .34 .25 .76 115.82 .33 . 150.60 .35 187.22 .37 224,47 .38 261.15 .36 2 j 6.09 .aj .24 .77 116.15 .34 15096 .36 187.59 .37 224.85 .37 261.51 .36 296.42 .34 .23 .78 116.49 .33 151.32 .36 187.96 .37 225.22 .37 261.87 .36 296.76 .34 .22 .79 116.82 .34 151.68 .31 188.33 .37 225.59 .37 262.23 .36 297.10 .33 .21 .80 117.16 .34 152.04 .36 188.70 .37 225.96 .37 262.59 .36 297.43 .34 .20 .81 117.50 .33 152.40 .36 189.07 .37 226.33 .37 2 297.77 .34 .19 .82 117.83 .84 152.76, .30 189.44 .38 226.70 .37 263.31 .33 298.11 .33 .18 .83 118.17 .34 153.12 .36 189.82 .37 227.07 .38 263.67 .36 298.44 .34 .17 .84 118.51 .34 153.48 .36 190.19 .37 227.45 .37 264.03 .36 298.78 .33 .16 .85 118.85 .33 153.84 .36 190.56 .37 227.82 .37 264.39 .36 299.11 .34 .15 .86 119.18 .34 154.20 .37 190.93 .37 228.19 .37 264.75 .35 299.45 .33 .14 .87 119.52 .34 154.57 .36 191.30 .38 228.56 .37 265.10 .36 299.78 .33 .13 .88 119.86 .34 154.93 .36 191.68 .37 228.93 .37 265,46 .36 300.11 .33 .12 .89 120.20 .34 155.29 .36 192.05 .37 229.30 .37 265.82 .36 300.44 .33 .11 .90 120.54 .34 155.65 .36 192.42 .37 229.67 .37 266.18 .36 300.77 .33 .10 .91 120.88 .34 156.01 .37 192.79 .37 230.04 .37 266.54 .35 301.10 .33 .09 .92 121.22 .34 156.38 .36 193.16 .38 230.41 .37 266.89 .36 301.43 .34 .08 .93 121.56 .34 156.74 .36 193.54 .37 230.78 .37 267.25 .36 301.77 .33 .07 .94 121.90 .34 157.10 .36 193.91 .37 231.15 .37 267.61 .36 302.10 .33 .06 .95 122.24 .34 157.46 .37 194.28 .37 231.52 .37 267.97 .36 302.43 .33 .05 .96 122.58 .34 157.83 .36 194.65 .37 231.89 .37 268.33 .35 302.76 .33 .04 .97 122.92 .34 158.19 .36 195.02 .38 232.26 .37 268.68 .36 303.09 .33 .03 .98 123.26 .34 158.55 .37 195.40 .37 232.63 .37 269.04 .36 303.42 .33 .02 .99 123.60 .34 158.92 .36 195.77 .37 233.00 .37 269.40 .35 303.75 .33 .01 1.00 123.94 .34 159.28 .36 196.14 .37 233.37 .37 269.75 .36 304.08 .33 .00 Days. 29 28 27 26 AS 24 Days. 151 TABLE XI. ARGUMENT 6. Equation = 206".9 [1 -+- sin. (2< — z — x)]. Period, 34.840892 days. Days. 12 |3 14 IS 16 1 7 Days. h ieini <: C.I 1 1I..V Kqu.uitm. Diff. K jiuti'i'illl.ll.S ..!'« D.iv. .00 304.08 .33 335.25 .29 362.27 .25 384.25 .19 400.49 .13 410.45 .07 1.00 .01 304.41 .33 335.54 .29 362.52 .25 384.44 .19 400.62 .13 410.52 .07 .99 .02 304.74 .33 335.83 .30 362.77 .24 384.63 .19 400.75 .13 410.59 .06 .98 .03 305.07 .33 336.13 .29 363.01 .25 384.82 .19 400.88 .13 410.6S .07 .97 .04 305.40 .32 336.42 .29 363.26 .24 385.01 .19 401.01 .13 410.72 .06 .<)<; .05 305.72 .33 336.71 .29 363.50 .25 385.20 .19 401.14 .13 410.7S .06 .95 .06 306.05 .33 337.00 .29 363.75 .24 385.39 .19 401.27 .13 410.84 .06 .94 .07 306.38 .33 337.29 .29 363.99 .24 385.58 .19 401.40 .18 410.90 .06 .93 .08 306.71 .32 337.58 .29 364.23 .24 385.77 .19 401.53 .12 410.9C .06 .92 .09 307.03 .33 337.87 .29 364.47 .24 385.96 .19 401.65 .13 411.02 .06 .91 .10 307.36 .33 338.16 .29 364.71 .24 386.15 .19 401.78 .13 411.08 .06 .90 .11 307.69 .32 338.45 .29 364.95 .24 386.34 .19 401.91 .12 411.14 .06 .89 .12 308.01 .33 338.74 .29 365.19 .24 386.53 .18 402.03 .12 411.20 .06 ,88 .13 308.34 .33 339.03 .29 365.43 .24 386.71 .19 402.15 .13 411.26 .06 .87 .14 308.67 .32 339.32 .28 365.67 .24 386.90 .18 402.28 .12 411.32 .06 .86 .15 308.99 .32 339.60 .29 365.91 .24 387.08 .19 402.40 .12 411.38 .06 .85 .16 309.31 .33 339.89 .29 366.15 .23 387.27 .18 402.52 .12 411.44 .05 .84 .17 309.64 .32 340.18 .28 366.38 .24 387.45 .18 402.64 .12 411.49 .06 .68 .18 309.96 .32 340.46 .29 366.62 .24 387.63 .18 402.76 .12 411.55 .05 .82 .19 310.28 .'.K 340.75 .28 366.86 .24 387.81 .18 402.88 .12 411.60 .05 .81 .20 310.60 .32 341.03 .28 367.10 .24 387.99 .18 403.00 .12 411.65 .05 .80 .21 310.92 .33 341.31 .29 367.34 .23 388.17 .18 403.12 .12 411.70 .06 .79 .22 311.25 .32 341.60 .28 367.57 .24 988.39 .18 403.24 .12 411.75 .05 .78 .23 311.57 .32 841.86 .28 367.81 .24 888.53 .18 403.36 .12 411.80 .06 .77 .24 311.89 .32 342.16 .29 368.05 .2:1 388.71 .18 403.48 .12 411.85 .05 .76 .25 312.21 .32 342.45 .28 368.28 .24 388.89 .17 403.60 .11 411.90 .05 .75 .26 312.53 .32 342.73 .28 368.52 .23 389.06 .18 403.71 .12 411.95 .05 .74 .27 312.85 .:« 343.01 .28 888.75 .2:i 389.24 .17 403.83 .11 412.00 .05 .73 .28 313.18 .82 3 43.2!) .28 888.98 .88 389,41 .18 403.94 .11 412.05 .05 .72 .29 313.50 ,82 :f 1:1.57 .28 369.21 .23 389.59 .17 404.05 .11 412.10 .05 .71 .30 313.82 .32 848^5 .28 369.44 .23 389.76 .17 404.16 .11 412.15 .05 .70 .31 814.14 .:« 844.18 .28 369.67 .23 389.93 .18 404.27 .11 412.20 .05 .69 .32 314.46 .:i-j 844.41 .28 869.90 .2:1 390.11 .17 464.38 .11 412.25 .04 .68 .:i:t 314.78 .32 844.69 .27 370.13 .23 390.28 .17 404.49 .11 412.29 .05 .67 44 315.10 .31 844.96 .28 370.36 .2:1 390.45 .17 401.60 .11 412.34 .04 .66 .:t:> 315.41 .32 345.24 .28 370.59 .22 890.63 .17 404.71 .11 412.38 .05 .65 .36 815.78 .32 845.59 .27 370.81 .23 390.79 .17 401.82 .11 412.43 .04 .64 .:i7 816.05 £2 845.79 .28 371.04 .23 890.96 .17 404.93 .11 II-.'. 17 .04 .63 J8 316.37| .31 846.07 96 371.27 .22 891.18 .17 405.04 .11 412.51 .01 .62 .39 :il(i.68 .32 346.35 .27 371.49 .23 891.80 .17 405.15 .11 412.55 .01 .(II .40 317.00 .32 346.62 .28 371.72 .23 861.47 .17 10556 .11 412.59 .01 .60 .41 :{ 17. :(-.! .:{•_' 846.90 .27 371.95 .22 891.64 .17 405.8? .10 412.68 .01 .69 .4',' 317.64 .31 :i 17.17 .28 372.17 52 891.81 .17 405.47 .11 H2.61 .01 .58 A3 317.!).-) .:« 847.46 .27 372.39 .23 891.98 .16 lor,. 5s .10 412.71 .01 .57 .11 81857 .31 :il7.72 .27 372.62 .22 392.14 .17 405.68 .11 412.7JI .01 .56 .1:. 81&&J .:!;! 847.98 .28 372.K 1 .22 392.31 .17 405.79 .10 412.79 .03 .55 .46 818JO .31 84857 .27 873.06 .93 3!I2. IN .16 405.88 .10 1IMN-J .01 .51 .17 81951 .:tl 848.54 .27 87359 .•2-2 392.<> 1 .17 405.99 .10 412. Mi .03 .5:i .!•> 819.53 .31 848 Jl .27 878.51 as 893.S1 .16 406.08 .10 112.89 .04 .53 .49 819.63 .31 .'{ 1!).08 .27 873.78 as 892.97 .Hi 406.19 .10 412.98 .03 .51 ..-,o 320.14 .:tl 3W.:t5 an 373.95 .2-2 393.13 .16 406.29 .10 412.96 .03 .50 D, 33 39 31 '-10 10 1 8 Days. 152 TABLE XI. ARGUMENT 6. Equation = 206".9 [1 + sin. (2< — z — *)]. Period, 34.846892 days. Days. 12 13 14 15 16 17 Days. ecimatE 'a li.u Iv jM.ll Mil Diff. Eqimliou. Dnr. Equation. Diff Equal inn. Diff Equation. Diff Equalion. DilT. Vrini.il fa Day .50 320.14 .31 349.35 .27 373.95 .22 393.13 .16 406.29 .10 412.96 .03 .50 .51 320,45 .31 349.62 .27 374.17 .22 393.29 .16 406.39 .10 412.99 .03 .49 .52 320.76 .31 349.89 .27 374.39 .22 393.45 .16 406.49 .10 413.02 .03 .48 .53 321.07 .31 350.16 .27 374.61 .22 393.61 .16 406.59 .10 413.05 .03 .47 .54 321.38 .31 350.43 .27 374.83 .22 393.77 .16 406.69 .10 413.08 .03 .46 .55 321.69 .31 350.70 .27 375.05 .21 393.93 .16 406.79 .09 413.11 .03 .45 .56 322.00 .31 350.97 .26 375.26 .22 394.09 .16 406.88 .10 413.14 .03 .44 .57 322.31 .31 351.23 .27 375.48 .22 394.25 .16 406.98 .09 413.17 .03 .43 .58 822.62 .31 351.50 .27 375.70 .21 394.41 .16 407.07 .09 413.20 .03 .42 .59 322.93 .31 351.77 .27 375.91 .22 394.57 .16 407.16 .09 413.23 .03 .41 .60 323.24 .31 352.04 .27 376.13 .21 394.73 .16 407.25 .09 413.26 .03 .40 .61 323.55 .31 352.31 .26 376.34 .22 394.S9 .15 407.34 .09 413.29 .03 .39 .62 323.86 .31 352.57 .27 376.56 .21 395.04 .16 407.43 .09 413.32 .02 .38 .63 324.17 .30 352.H4 .27 376.77 .21 395.20 .15 407.52 .09 413.34 .03 .37 .64 324.47 .31 353.11 .26 376.98 .22 395.35 .16 407.61 .09 413.37 .02 .36 .65 324.78 .31 353.37 .27 377.20 .21 395.51 .15 407.70 .09 413.39 .02 .35 .66 325.09 .30 353.64 .26 377.41 .21 395.66 .15 407.79 .09 413.41 .02 .34 .67 325.39 .31 353.90 .26 377.62 .21 395.81 .15 407.88 .09 413.43 .02 .33 .68 325.70 .31 354.16 .2r, 377.83 .21 395.96 .15 407.97 .08 413.45 .02 .32 .69 326.01 .30 354.48 .26 378.04 .21 396.11 .15 408.05 .09 413.47 .02 .31 .70 326.31 .31 354.68 .26 378.25 .21 396.26 .15 408.14 .08 413.49 .02 .30 .71 326.62 .30 354.94 .26 378.46 .21 396.41 .15 408.22 .09 413.51 .02 .29 .72 326.92 .30 355.20 .26 378.67 .21 396.56 .15 408.31 .08 413.53 .02 .28 .73 327.22 .31 355.46 .26 378.88 .20 396.71 .15 408.39 .09 413.55 .02 .27 .74 327.53 .30 355.72 .25 379.08 .21 396.86 .15 408.48 .08 413.57 .02 .26 .75 327.83 .30 355.97 .26 379.29 .21 397.01 .14 408.56 .09 413.59 .01 .25 .76 328.13 .30 356.23 .26 379.50 .20 397.15 .15 408.65 .08 413.60 .02 .24 .77 328.43 .30 356.49 .26 379.70 .21 397.30 .14 408.73 .08 413.62 .01 .23 .78 328.73 .30 356.75 .25 379.91 .20 397.44 .15 408.81 .08 413.63 .01 .22 .79 329.03 .30 357.00 .26 380.11 .20 397.59 .14 408.89 .08 413.64 .01 .21 .80 329.33 .30 357.26 .26 380.31 .20 397.73 .14 408.97 .08 413.65 .01 .20 .81 329.63 .30 357.52 .25 380.51 .20 397.87 .15 409.05 .08 413.66 .01 .19 .82 329.93 .30 357.77 .25 380.71 .20 398.02 .14 409.13 .08 413.67 .01 .18 .83 330.23 .30 358 02 .26 380.91 .20 398.16 .14 409.21 .08 413.68 .01 .17 .84 330.53 .30 358.28 .25 381.11 .20 398.30 .14 409.29 .08 413.69 .01 .16 .85 330.83 .29 358.53 .25 381.31 .20 398.44 .14 409.37 .07 413.70 .01 .15 .86 331.12 .30 358.78 .25 381.51 .20 398.58 .14 409.44 .08 413.71 .01 .14 .87 331.42 .30 359.03 .26 381.71 .20 398.72 .14 409.52 .07 413.72 .01 .13 .88 331.72 .29 359.29 .25 381.91 .20 398.86 .14 409.59 .08 413.73 .01 .12 .89 332.01 .30 359.54 .25 382.11 .20 399.00 .14 409.67 .07 413.74 .01 .11 .90 332.31 .30 359.79 .25 382.31 .20 399.14 .14 409.74 .07 413.75 .01 .10 .91 332.61 .29 360.04 .25 382.51 .20 399.28 .14 409.81 .08 413.76 .01 .09 .92 332.90 .30 360.29 .25 382.71 .19 399.42 .14 409.89 .07 413.77 .01 .08 .93 333.20 .30 * 360.54 .25 382.90 .20 399.56 .13 409.96 .07 413.78 .01 .07 .94 333.50 .29 360.79 .24 383.10 .19 399.69 .14 410.03 .07 413.79 .00 .06 .95 333.79 .30 361.03 .25 383.29 .20 399.83 .13 410.10 .07 413.79 .01 .05 .96 33 1.09 .29 361.28 .25 383.49 .19 399.96 j .14 410.17 .07 413.80 .00 .04 .97 134.38 .29 361.53 .25 383.68 .19 400.10 .13 410.24 .07 413.80 .00 .03 .98 331.67 .29 361.78 .24 383.87 .19 40023 .13 410.31 .07 413.80 .00 .02 .99 334.96' .29 362.02 .25 384.94 .19 400.36 .13 410.38 .07 413.80 .00 .01 1.00 335.25 .29 362.27 .25 384.25 .19 400.49 .13 410.45 .07 413.80 .00 .00 Days. 23 22 21 2O 19 1 8 Days. 153 TABLE XII. ARGUMENT 7, Equation = 192".l [1 -{-sin. (2i + z)]. Period, 9.613718 days. Days. O 1 a 3 4 Days. MmS Equation. Difference. Equation. Difference, Equation. Difll-re.ice. Equation. Differenre. Equation. Difference. Diviinals ifa Day. .00 1.53 .15 26".09 .64 119.09 1.16 242.17 1.21 344.61 .76 1.00 .01 1.38 .15 26.73 .65 120.25 1.16 243.38 1.21 345.37 .75 .99 .02 1.23 .14 27.38 .65 121.41 1.17 244.59 1.21 346.12 .75 .98 .03 1.09 .13 28.03 .66 122.58 1.17 245.80 1.20 346.87 .74 .97 .04 0.96 .12 28.69 .66 123.75 1.18 247.00 1.20 347.61 .73 .96 .05 0.84 .11 29.35 .67 124.93 1.18 248.20 1.20 348.34 .73 .95 .06 0.73 .11 30.02 .68 126.11 1.18 249.40 1.20 349.07 .72 .94 .07 0.62 .10 30.70 .68 127.29 .1.18 250.60 1.20 349.79 .71 .93 .08 0.52 .09 31.38 .69 128.47 1.19 251.80 1.19 350.50 .71 .92 .09 0.43 .08 32.07 .70 129.66 1.19 252.99 1.19 351.21 .70 .91 .10 0.35 .07 32.77 .70 130.85 1.19 254.18 1.19 351.91 .69 .90 .11 0.28 .06 33.47 .71 132.04 1.19 255.37 1.18 352.60 .69 .89 .12 0.22 .06 34.18 .72 133.23 1.20 256.55 1.18 353.29 .68 .88 .13 0.16 .05 34.90 .73 134.43 1.20 257.73 1.18 353.97 .67 .87 .14 0.11 .04 35.63 .73 135.63 1.20 258.91 1.17 354.64 .67 .86 .15 0.07 .03 36.36 .74 136.83 1.20 260.08 1.17 355.31 .66 .85 .16 0.04 .02 37.10 .75 138.03 1.21 261.25 1.17 355.97 .65 .84 .17 0.02 .01 37.85 .75 139.24 1.21 262.42 1.17 356.62 .65 .83 .18 0.01 .01 38.60 .76 140.45 1.21 263.59 1.17 357.27 .64 .82 .19 0.00 ..00 39.36 .76 141.66 1.21 264.76 1.16 357.91 .63 .81 .20 0.00 .01 40.12 .77 142.87 1.21 265.92 1.16 358.54 .62 .80 .21 0.01 .02 40.89 .78 144.08 1.22 267.08 1.15 359.16 .62 .79 .22 0.03 .03 41.67 .78 145.30 1.22 268.23 1.15 359.78 .61 .78 .23 0.06 .03 42.45 .79 146.52 1.22 269.38 1.15 360.39 .60 .77 .24 0.09 .04 43.24 .79 147.74 1.22 270.53 1.14 360.99 .60 .76 .25 0.13 .05 44.03 .80 148.96 1.22 271.67 1.14 361.59 .59 .75 .26 0.18 .06 44.83 .81 150.18 1.23 272.81 1.14 362.18 .58 .74 .27 0.24 .07 45.64 .81 151.41 1.23 273.95 1.13 362.76 .57 .73 .28 0.31 .08 46.45 .82 152.64 1.23 275.08 1.13 363.33 .56 .72 .29 0.39 .08 47.27 .83 153.87 1.23 276.21 1.13 363.89 .56 .71 .30 0.47 .09 48.10 .83 155.10 1.23 277.34 1.12 364.45 .55 .70 .31 0.56 .10 48.93 .84 156.33 1.23 278.46 1.12 365.00 .54 .69 .32 0.66 .11 49.77 .85 157.56 1.24 279.58 1.12 365.54 .54 .68 .33 0.77 .12 50.62 .85 158.80 1.24 280.70 1.11 366.08 .53 .67 .34 0.89 .12 51.47 .86 160.04 1.24 281.81 1.11 366.61 .52 .66 .35 1.01 .13 52.33 .87 161.28 1.24 282.92 1.10 367.13 .52 .65 .36 1.14 .14 53.20 .87 162.52 1.24 284.02 1.10 367.65 .51 .64 .37 1.28 .15 54.07 .88 163.76 1.24 285.12 1.10 868.16 .50 .63 .38 1.43 .16 54.95 .88 165.00 1.25 286.22 1.09 368.66 .49 .62 .39 1.59 .16 55.83 .89 166.25 1.24 287.31 1.09 369.15 .47 .61 .40 1.75 .17 56.72 .90 167.49 1.25 288.40 1.08 369.62 .48 .60 .41 1.92 .18 57.62 .90 168.74 1.24 289.48 1.08 370.10 .47 .59 .42 2.10 .19 58.52 .91 169.98 1.25 290.56 1.08 370.57 .46 .58 .43 2.29 .20 59.43 .91 171.23 1.25 291.64 1.07 371.03 .45 .57 .44 2.49 .21 60.34 .91 172.48 1.25 292.71 1.07 371.48 .44 .56 .45 2.70 .21 61.25 .92 173.73 1.25 293.78 1.06 371.92 .44 .55 .46 2.91 .22 62.17 .93 174.98 1.25 39441 1.06 372.36 .43 .54 .47 3.13 .23 63.10 .93 176.23 1.25 295.90 1.06 372.79 .42 .53 .48 :{.uc .24 64.03 .94 177.48 1.26 296.95 1.05 373.2 1 .41 .52 .49 3.60 .25 64.97 .94 178.74 1.25 ^!)N.()() 1.05 373.62 .41 .51 .50 3.N5 £0 65.91 .95 179.99 1.25 299.05 1.04 374.03 .40 .50 Days. 9 8 7 6 & Days. 154 TABLE XII. ARGUMENT 7. Equation =192".! [1-fsin. (2t+x)]. Period, 9.613718 days. Days. O 1 2 3 4 Days. ecitnals of :i D;iy. Equation. Difference. Kquiiiion. lifference. Equation. Difference. Equation. Difference. Equation. Difference. leeiuuU fa Day. .50 3.85 .25 65.91 .95 179.99 1.25 299".05 1.04 374.03 .40 .50 .51 4.10 .26 66.86 .95 181.24 1.26 300.09 1.04 374.43 .39 .49 .52 4.36 .27 67.81 .96 182.50 1.25 301.13 1.03 374.82 .38 .48 .53 4.63 .28 68.77 .97 183.75 1.26 302.16 1.02 375.20 .38 .47 .54 4.91 .29 69.74 .97 185.01 1.25 303.18 1.02 375.58 .37 .46 .55 5.20 .29 70.71 .98 186.26 1.25 304.20 1.02 375.95 .36 .45 .56 5.49 .30 71.69 .98 187.51 1.26 305.22 1.01 376.31 .35 .44 .57 5.79 .31 72.67 .99 188.77 1.25 306.23 1.01 376.66 .35 .43 .58 6.10 .32 73.66 .99 190.02 1.26 307.24 1.00 377.01 .34 .42 .59 6.42 .33 74.65 .99 191.28 1.25 308.24 1.00 377.35 .33 .41 .60 6.75 .33 75.64 1.00 192.53 1.26 309.24 .99 377.68 .32 .40 .61 7.08 .34 76.64 1.01 193.79 1.25 310.23 .99 378.00 .31 .39 .62 7.42 .35 77.65 1.01 195.04 1.26 311.22 .98 378.31 .30 .38 .63 7.77 .36 78.66 1.02 196.30 1.25 312.20 .98 378.61 .30 .37 .64 8.13 .37 79.68 1.02 197.55 1.26 313.18 .97 378.91 .29 .36 .65 8.50 .37 80.70 1.03 198.81 1.25 314.15 .97 379.20 .28 .35 .66 8.87 .38 81.73 1.03 200.06 1.26 .315.12 .96 379.48 .27 .34 .67 9.25 .39 82.76 1.03 201.32 1.25 316.08 .96 379.75 .26 .33 .68 9.64 .40 83.79 1.04 202.57 1.26 317.04 .95 380.01 .26 .32 .69 10.04 .41 84.83 1.04 203.83 1.25 317.99 .94 380.27 .25 .31 .70 10.45 .41 85.87 1.05 205.08 1.25 318.93 .94 380.52 .24 .30 .71 10.86 .42 86.92 1.05 206.33 1.25 319.87 .94 380.76 .23 .29 .72 11.28 .43 87.97 1.06 207.58 1.25 320.81 .93 380.99 .22 .28 .73 11.71 .44 89.03 1.06 208.83 1.25 321.74 .92 381.21 .22 .27 .74 12.15 .44 90.09 1.06 210.08 1.25 322.66 .92 381.43 .21 .26 .75 12.59 .45 91.15 1.07 211.33 1.25 323.58 .91 381.64 .20 .25 .76 13.04 .46 92.22 1.07 212.58 1.25 324.49 .91 381.84 .19 .24 .77 13.50 .47 93.29 1.08 213.83 1.25 325.40 .90 382.03 .18 .23 .78 13.97 .47 94.37 1.08 215.08 1.24 326.30 .90 382.21 .18 .22 .79 14.44 .48 95.45 1.09 216.32 1.25 327.20 .89 382.39 .17 .21 .80 14.92 .49 96.54 1.09 217.57 1.24 328.09 .89 382.56 .16 .20 .81 15.41 .50 97.63 1.10 218.81 1.25 328.98 .88 382.72 .15 .19 .82 15.91 .50 98.73 1.10 220.06 1.24 329.86 .87 382.87 .14 .18 .83 16.41 .51 99.83 1.10 221.30 1.24 330.73 .87 383.01 .14 .17 .84 16.92 .51 100.93 1.11 222.54 1.24 331.60 .86 383.15 .13 .16 .85 17.43 .52 102.04 1.11 223.78 1.24 332.46 .85 383.28 .12 .15 .86 17.95 .53 103.15 1.12 225.02 1.24 333.31 .85 383.40 .11 .14 .87 18.48 .54 104.27 1.12 226.26 1.23 334.16 .84 383.51 .10 .13 .88 19.02 .55 105.39 1.12 227.49 1.23 335.00 .84 383.61 .09 .12 .89 19.57 .56 106.51 1.13 228.72 1.23 335.84 .83 383.70 .09 .11 .90 20.13 .56 107.64 1.13 229.95 1.23 336.67 .82 383.79 .08 .10 .91 20.69 .57 108.77 1.13 231.18 1.23 337.49 .82 383.87 .07 .09 .92 21.26 .58 109.90 1.14 232.41 1.23 338.31 .81 383.94 .06 .08 .93 21.84 .59 111.04 1.14 233.64 1.22 339.12 .80 384.00 .05 .07 .94 22.43 .59 112.18 1.15 234.86 1.22 339.92 .80 384.05 .05 .06 .95 23.02 .60 113.33 1.15 236.08 1.22 340.72 .79 384.10 .04 .05 .96 23.62 .61 114.48 1.15 237.30 1.22 341.51 .78 384.14 .03 .04 .97 24.23 .61 115.63 1.15 238.52 1.22 342.29 .78 384.17 .02 .03 .98 24.8' .62 116.78 1.15 239.74 1.22 343.07 .77 384.19 .01 .02 .99 25.46 .63 117.93 1.16 240.96 1.21 343.84 .77 384.20 .00 .01 1.00 26.0S .64 119.09 1.16 242.17 1.21 344.61 .76 384.20 .00 .00 Days. 9 8 7 6 3 Days. 155 TABLE XIII. ARGUMENT 8. Equation — 165".9 [1 -\- sin. (2i — z)]. Period, 15.3873122 days. Days. O 1 2 3 4 .» Days. DerinuU of a Day Iviuaiioa. Diff. Equation. Diff. Equation. Diff. K-iu ihiui. Ditr. Equation. Diff. Equation. Hi IT. 1 Iri-imal uf 11 Day .00 1.29 .08 6.62 .19 38.12 .43 90.64 .60 155.53 .67 222.13 .64 1.00 .01 1.21 .08 6.81 .19 38.55 .43 91.24 .60 156.20 .68 222.77 .63 .99 .02 1.13 .08 7.00 .19 38.98 .44 91.84 .61 156.88 .67 223.40 .64 .98 .03 1.05 .08 7.19 .20 39.42 .44 92.45 .60 157.55 .68 224.04 .63 .97 .04 0.97 .07 7.39 .20 39.86 .44 93.05 .61 158.23 .68 224.67 .63 .96 .05 0.90 .07 7.59 .20 40.30 .44 93.66 .61 158.91 .67 225.30 .63 .95 .06 0.83 .07 7.79 .21 40.74 .45 94.27 .61 159.58 .68 225.93 .63 .94 .07 0.76 .06 8.00 .21 41.19 .45 94.88 .61 160.26 .68 226.56 .63 .93 .08 0.70 .06 8.21 .21 41.64 .45 95.49 .62 160.94 .68 227.19 .63 .92 .09 0.64 .06 8.42 .21 42.09 .45 96.11 .62 161.62 .68 227.82 .63 .91 .10 0.58 .05 8.63 .22 42.54 .46 96.73 .62 162.30 .68 228.45 .63 .90 .11 0.53 .05 8.85 .22 43.00 .46 97.35 .62 162.§8 .67 229.08 .62 .89 .12 0.48 .05 9.07 .22 43.46 .46 97.97 .62 163.66 .68 229.70 .63 J88 .13 0.43 .05 9.29 .22 43.92 .46 98.59 .62 164.33 .68 230.33 .62 .87 .14 0.38 .05 9.51 .23 44.38 .46 99.21 .62 165.01 .68 230.95 .62 .86 .15 0.33 .04 9.74 .23 44.84 .46 99.83 .62 165.69 .68 231.57 .62 .85 .16 • 0.29 .04 997 .23 45.30 .47 100.45 .62 166.37 .68 232.19 .62 .84 .17 0.25 .01 10.20 .24 45.77 .47 101.07 & 167.05 .67 232.81 .62 .83 .18 0.21 .03 10.44 .24 46.24 .47 101.69 .63 167.72 .68 233.43 .62 .82 .19 0.18 .03 10.68 .24 46.71 .47 102.32 .63 168.40 .68 234.05 .62 .81 .20 0.15 .03 10.92 .24 47.18 .47 102.95 .63 169.08 .68 234.67 .62 .80 .21 0.12 .02 11.16 .25 47.65 .48 103.58 .68 169.76 .68 235.29 .62 .79 .22 0.10 .02 11.41 .25 48.13 .48 104.21 .63 170.41 .67 235.91 .61 .78 .23 0.08 .02 11.66 .25 48.61 .48 104.84 .63 171.11 £8 236.52 .62 .77 .24 0.06 .02 11.91 .25 49.09 .48 105.47 .63 171.79 .67 237.14 .61 .76 .25 0.04 .01 12.16 .26 49.57 .48 106.10 .63 172.46 .68 237.75 .61 .75 .26 0.03 .01 12.42 .26 50.05 .48 106.73 .63 173.14 .68 238.36 .61 .74 .27 0.02 .01 12.68 .26 50.53 .49 107.36 .64 173.82 .67 238.97 .61 .73 .28 0.01 .01 12.94 .26 51.02 .49 108.00 .63 174.49 .68 239.58 .60 .72 .29 0.00 .00 13.20 .26 51.51 .49 108.63 .64 175.17 .67 240.18 .61 .71 .30 0.00 .00 13.46 .27 52.00 .49 109.27 .63 175.84 .68 240.79 .60 .70 .31 0.00 .00 13.73 .27 52. 1!) .50 109.90 .64 176.52 .68 241.39 .60 .69 .32 0.00 .00 14.00 .27 52.99 .50 110.54 .64 177.20 .67 241.99 .60 .68 .33 0.00 .01 14.27 .2H 53.49 .50 111.18 .64 177.87 .68 242.69 .60 .67 .34 0.01 .01 14.55 .28 r>:t.!t;i .50 111.83 .64 178.55 .67 243.19 .60 .66 .35 0.02 .01 14.83 .28 54.49 .50 1 12.46 .64 179.22 .68 248.79 .60 .65 .36 0.03 .02 15. 1 1 .29 54.99 .51 113.10 .64 179.90 .68 244.39 .59 .64 .37 0.05 .02 15.40 .29 55.50 .51 1 13.74 .64 180.68 .67 244.98 .60 .68 .38 0.07 .02 15.69 a& 56.01 .51 114.38 .65 181.86 .68 246.88 .59 .62 .39 0.09 .02 15.98 .29 56.52 .51 115.03 .<;i 181.93 .67 246.17 .59 .61 .40 0.11 .03 16.27 .30 57.03 .51 115.67 ,66 1N2.60 .67 246.76 .59 .60 .41 0.14 .03 16.57 .30 57.54 .51 116.89 .64 183.27 .68 •->i7.:(.r> .59 .59 .42 0.17 .03 I6.N7 .30 58.06 .51 116.96 .65 lN.'!.!ir, .67 247.91 .59 .58 .43 0.20 .04 17.17 .30 5&6fl .52 117.61 .65 184.Q8 .67 248.69 .59 .57 .44 0.24 .04 17.47 JO 59.08 .52 1 18.26 .65 185.29 .67 248.13 .59 .56 .45 0.28 .04 17.77 .31 59.60 .52 118.91 .65 185.96 .67 849.71 .58 .55 .46 0.32 .05 L&06 ..'{] 60.12 .52 119.56 .65 186.63 .68 260.29 .59 .54 .47 0.37 .05 L&39 .31 60.6 1 .52 120.21 .66 187.81 .67 260.88 .68 .631 .48 0.42 .05 1H.70 .31 61.16 .53 130.87 .65 187.98 .67 251.46 .58 .52 .49 0.47 .05 19.01 .:« 61.69 M 121.52 .66 188.68 .67 288.04 .58 .51 .50 n.Vj .06 19.33 .:*•,: 62.22 .53 122.18 .66 189.32 .67 252.62 .57 .50 Days. 15 14 i:t 13 11 1O Days. 156 TABLE XIII. ARGUMENT 8. Equation = 165".9 [1 +sin. (2« — z)]. Period, 15.3873122 days. Days. O 1 2 3 4 5 Days. Dec i ma a .of a Day IvjiUt inn. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Decimals at a Day. 1 .50 0.52 .06 19".33 .32 62.22 .53 122.18 .65 189".32 .67 252.62 .57 .50 .51 0.58 .06 19.65 .32 62.75 .53 122.83 .65 189.99 .67 253.19 .58 .49 .52 0.64 .06 19.97 .32 63.28 .53 123.48 .65 190.66 .67 253.77 .57 .48 .53 0.70 .06 20.29 .32 63.81 .54 124.13 .66 191.33 .67 254.34 .57 .47 .54 0.76 .06 20.61 .33 64.35 .54 124.79 .66 192.00 .67 254.91 .57 .46 .55 0.82 .07 20.94 .33 64.89 .54 125.45 .65 192.67 .67 255.48 .57 .45 .56 0.89 .07 21.27 .33 65.43 .54 126.10 .66 193.34 .66 256.05 .57 .44 .57 0.96 .07 21.60 .31 65.97 .54 126.76 .66 194.00 .67 256.62 .56 .43 .58 1.03 .08 21.94 .34 66.51 .54 127.42 .66 194.67 .66 257.18 .57 .42 .59 1.11 ,08 22.28 .34 67.05 .55 128.08 .66 195.33 .67 257.75 .56 .41 .60 1.19 .08 22.62 .34 67.60 .55 128.74 .66 196.00 .67 258.31 .56 .40 .61 1.27 .09 22.96 .34 68.15 .55 129.40 .66 196.67 .66 258.87 .56 .39 .62 1.36 .09 23.30 .35 68.70 .55 130.06 .67 197.33 .67 259.43 .56 .38 .63 1.45 .09 23.65 .35 69.25 .55 130.73 .66 198.00 .66 259.99 .56 .37 .64 1.54 .09 24.00 .35 69.80 .55 131.39 .67 198.66 .67 260.55 .56 .36 .65 1.63 .10 24.35 .35 70.35 .55 132.06 .66 199.33 .66 261.11 .55 .35 .66 1.73 .10 24.70 .36 70.90 .56 132.72 .67 199.99 .67 261.66 .55 .34 .67 1.83 .10 25.06 .36 71.46 .56 133.39 .66 200.66 .66 262.21 .55 .33 .68 1.93 .10 25.42 .36 72.02 .56 134.05 .67 201.32 .66 262.76 .55 .32 .69 2.03 .11 25.78 .36 72.58 .56 134.72 .67 201.98 .66 263.31 .55 .31 .70 2.14 .11 26.14 .37 73.14 .56 135.3P .67 202.64 .66 263.86 .54 .30 .71 2.25 .11 26.51 .37 73.70 .56 136.08 .63 203.30 .66 264.40 .55 .29 .72 2.36 .12 26.88 .37 74.26 .57 136.72 .67 203.96 .66 264.95 .54 .28 .73 2.48 .12 27.25 .37 74.83 .57 137.39 .67 204.62 .65 265.49 .54 .27 .74 2.60 .12 27.62 .38 75.40 .57 138.06 .67 205.27 .66 266.03 .51 .26 .75 2.72 .13 28.00 .3S 75.97 .57 138.73 .67 205.93 .66 266.57 .54 .25 .76 2.85 .13 28.3S .3S 76.54 .57 13'J. 10 .66 206.5;, .06 2 57. 1 1 .;') J .24 .77 2.98 .13 28.76 .38 77.11 .57 140.06 .67 207.25 .65 267.64 .54 .23 .78 3.11 .13 29.14 .38 77.68 .57 140.73 .67 207.90 .66 268.18 .53 .22 .79 3.24 .13 29.52 .30 78.25 .58 141.40 .67 208.56 .65 268.71 .53 .21 .80 .3.37 .14 29.91 .39 78.83 .58 142.07 .67 209.21 .65 269.24 .53 .20 .81 3.51 .14 30.30 .39 79.41 .58 142.74 .67 209.8« .W 269.77 .53 .19 .82 3.65 .14 30. .58 1 43.41 .67 210.52 .65 270.30 .52 .18 .83 3.79 .14 31.08 .40 80.57 .58 144.08 .67 211.17 .65 270.82 .63 .17 .84 3.93 .15 31.48 .40 81.15 .58 144.75 .67 211.82 .65 271.35 .52 .16 .85 408 .15 31.88 .40 81.73 .58 145.42 .67 212.47 .65 271.87 .52 .15 .86 4.23 .15 32.28 .40 82.31 .59 146.09 .67 213.12 .65 272.39 .52 .14 .87 4.38 .16 32.68 .41 82.90 .59 146.76 .67 213.77 .65 272.91 .51 .13 .88 4.54 .16 33.09 .41 83.49 .59 147.43 .68 214.42 .64 273.42 .52 .12 .89 4.70 .16 33.50 .41 84.08 .59 148.11 .67 215.06 .65 273.94 .51 .11 .90 4.86 .17 33.91 .41 84.67 .59 148.78 .67 215.71 .65 274.45 .51 .10 .91 5.03 .17 34.32 .41 85.26 .59 149.45 .67 216.36 .64 274.96 .51 .09 .92 5.20 .17 34.73 .42 85.85 .59 150.12 .68 217.00 .65 275.47 .51 .08 .93 5.37 .17 35.15 .42 86.44 .60 150.80 .67 217.65 .64 275.98 .50 .07 .94 5.54 .17 35.57 .42 87.04 .60 151.47 .68 218.29 .64 276.48 .51 .06 .95 5.71 .18 35.99 .42 87.64 .60 152.15 .67 218.93 .64 276.99 .50 .05 .96 5.89 .18 36.41 .42 88.24 .60 152.82 .68 219.57 .64 277.49 .50 .04 .97 6.07 .18 36.83 .43 88.84 .60 153.50 .67 220.21 .64 277.99 .50 .03 .98 6.25 .18 37.26 .43 89.44 .60 154.17 .68 220.85 .64 278.49 .50 .02 .99 6.43 .19 37.69 .43 90.04 .60 154.85 .68 221.49 .64 278.99 .50 .01 1.00 6.62 .19 38.12 .43 90.64 .60 155.53 .67 222.13 .64 279.49 .49 .00 Days. 15 14 13 12 11 1O Days. 157 TABLE XIII. ( Continued.) Period, 15.3873122 days. TABLE XIV. ARGUMENT 9. Equation = 148". 1 [1 -f sin. (x — ;)]. Period, 29.802826 days. Days. 6 7 0 1 2 Days. Decimal- of a Day Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. EauaUoo. Diff. Decimals if a Diiv. _ • n .00 279.49 .49 318.17 .27 0.04 .01 2.67 .06 11.74 .12 1.00 .01 279.98 .49 318.44 .26 0.03 .01 2.73 .06 11.86 .12 .99 .02 280.47 .49 318.70 .26 0.02 .00 2.79 .06 11.98 .18 .98 .03 280.96 .49 318.96 .26 0.02 .01 2.85 .06 12.11 .12 .97 .04 281.45 .48 319.22 .26 0.01 .00 2.91 .06 12.23 .12 .96 .05 281.93 .48 319.48 .25 0.01 .00 2.97 .07 12.35 .13 .95 .06 282.41 .48 319.73 .25 0.01 .01 3.04 .06 12.48 .13 .94 .07 282.89 .48 319.98 .25 0.00 .00 3.10 .06 12.61 .12 .93 .08 283.37 .48 320.23 .25 0.00 .00 3.16 .07 12.73 .13 .92 .09 283.85 .47 320.48 .24 0.00 .00 3.23 .06 12.86 .13 .91 .10 284.32 .47 320.72 .24 0.00 .00 3.29 .07 12.99 .13 .90 .11 284.79 .47 320.96 .24 0.00 .00 3.36 .06 13.12 .13 .89 .12 285.26 .47 321.20 .24 0.00 .00 3.42 .07 13.25 .13 .88 .13 285.73 .47 321.44 .24 0.00 .00 3.49 .07 13.38 .13 .87 .14 286.20 .47 321.68 .23 0.00 .01 3.56 .06 13.51 .13 .86 .15 286.67 .46 321.91 .23 0.01 .00 3.62 .07 13.64 .13 .85 .16 287.13 .46 322.14 .23 0.01 .00 3.69 .07 13.77 .14 .SI .17 287.59 .46 322.37 .22 0.01 .01 3.76 .07 13.91 .18 .s:< .18 288.05 .46 322.59 .22 0.02 .00 3.83 .07 14.04 .13 .82 .19 288.51 .46 322.81 .22 0.02 .01 3.90 .07 14.17 .13 .81 .20 288.97 .45 323.03 .22 0.03 .01 3.97 .07 14.30 .13 .80 .21 289.42 .45 323.25 .21 0.04 .01 4.04 .07 14.43 .14 .79 .22 289.87 .45 323.46 .21 0.05 .01 4.11 .07 14.57 .13 .7S .23 290.32 .45 323.67 .21 0.06 .01 4.18 .08 14.70 .13 .77 .24 290.77 .45 323.88 .20 0.07 .01 4.26 .07 14.83 .14 .76 .25 291.22 .44 324.08 .20 0.08 .01 4.33 .ON 14.97 .13 .75 .26 291.66 .44 324.28 .20 0.09 .01 4.41 .07 15.10 .14 .74 .27 292.10 .44 83448 .20 0.10 .01 4.48 .OS 15.24 .14 .73 .28 292.54 .44 324.68 .19 0.11 .01 4.56 .08 15.38 .14 .72 .29 292.98 .43 324.87 .19 0.12 .01 4.64 .08 15.52 .14 .71 .30 293.41 .43 325.06 .19 0.13 .01 4.72 .08 15.66 .14 .70 .31 293.84 .43 325.25 .19 0.14 .02 4.80 .OS 15.80 .14 .69 .32 294.27 .43 :tvi:>. 1 1 .18 0.16 .01 4.H8 .OS 15.94 .14 j68 .33 • 294.70 ,i:( 325.62 .18 0.17 .02 4.96 .08 16.08 .15 .67 .34 295.13 .42 325.80 .18 0.19 .02 5.04 .08 16.23 .14 .66 .35 295.55 .42 325.98 .18 0.21 .01 5.12 .08 16.37 .14 .(;.-> M 295.97 .42 326.16 .17 0.22 .02 5.20 .ON 16.51 .16 .(!» .37 296.39 .42 :ufi.:i:* .17 0.24 .02 5.2N .0!) 16.66 .14 .63 .38 296.81 .41 826.50 .17 0.26 .01 6.87 .ON 16.80 .14 j62 .39 297.22 .41 326.67 .16 0.27 .02 5.45 .08 16.94 .16 .<;i .40 297.63 .41 326.83 .16 0.29 .02 5.53 .09 17.09 .15 £0 .41 298.04 .41 :«(>.!»!» .16 0.31 .09 5.62 .08 17.24 .16 .5!) .42 298.45 .41 327.15 .16 <>.:u .02 5.70 Joe 17. :w .14 .68 .43 298.86 .40 837.31 .16 0.35 .02 5.79 JOB 17.53 .15 .57 .44 299.26 .40 :«7.17 .15 0.37 .03 5.88 JOB 17. (is .18 .56 .45 299.66 .40 :j\>7. rw ,1ft 0.40 .02 :>.!><; M 17.S.-5 .16 .55 .HI :{(K).o(i .40 ;{-.'7.77 .15 0.42 .02 6.86 .09 17.98 .16 .r>» .47 300.46 .Id 327.92 .14 0.44 .o:< 6.14 .(1!) 18. 1» .16 .r.:t .48 .'too.si; .3!) 828.04 .14 0.47 .02 6.23 .09 18.28 .16 ,63 .49 :«>i. -jr. .39 828.21 .1 I 0.49 .03 6.82 .(If) 18.44 .16 .51 .50 301.64 .39 328.34 .14 0.52 .0:1 6.41 .09 JH.«)H .15 .50 Days. 9 8 iii) 38 «7 Days. 158 TABLE XIII. {Continued,.) Period, 15.3873122 days. TABLE XIV. ARGUMENT 9. Equation^ 148". 1 [1 -|-sin. (x — z)]. Period, 29.802826 days. Days. 6 7 o 1 2 Days. Decimals ola Day. Equation. Diir. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. ecimals fa Day. .50 301.64 .39 328.34 .14 0.52 .03 6.41 .09 18.58 .15 .50 .51 302.03 .39 328.48 .13 0.55 .03 6.50 .09 18.73 .15 .49 .52 302.42 .38 328.61 .13 0.58 .03 6.59 .09 18.88 .15 .48 .53 302.80 .38 328.74 .13 0.61 .03 6.68 .10 19.03 .16 .47 .54 303.18 .38 328.87 .13 0.64 .03 6.78 .09 19.19 .15 .46 .55 303.56 .38 329.00 .12 0.67 .03 6.87 .09 19.34 .15 .45 .56 3034)4 .37 329.12 .12 0.70 .03 6.96 .10 19.49 .16 .44 .57 304.31 .37 329.21 .12 0.73 .03 7.0fi .09 19.65 .15 .43 .58 304.68 .37 329.36 .12 0.76 .03 7.15 .10 19.80 .16 .42 .59 305.05 .37 329.48 .11 0.79 .03 7.25 .10 19.96 .16 .41 .60 305.42 .37 329.59 .11 0.82 .03 7.35 .10 20.12 .16 .40 .61 305.79 .36 329.70 .11 0.85 .04 7.45 .10 20.28 .16 .39 .62 306.15 .36 329.81 .10 0.89 .03 7.55 .10 20.44 .16 .38 .63 306.51 .36 329.91 .10 0.92 .04 7.65 .10 20.60 .16 .37 .64 306.87 .36 330.01 .10 0.96 .04 7.75 .10 20.76 .16 .36 .65 307.23 .35 330.11 .10 1.00 .03 7.85 .10 20.92 .16 .35 .66 307.58 .35 330.21 .09 1.03 .04 7.95 .10 21.08 .16 .34 .67 307.93 .35 330.30 .09 1.07 .04 8.05 .10 21.24 .16 .33 .68 308.28 .35 330.39 .09 1.11 .04 8.15 .10 21.40 .16 .32 .69 308.63 .34 330.48 .08 1.15 .04 8.25 .10 21.56 .16 .31 .70 308.97 .34 330.56 .08 1.19 .04 8.35 .10 21.72 .16 .30 .71 309.31 .34 330.64 .08 1.23 .04 8.45 .11 21.88 .16 .29 .72 309.65 .34 330.72 .08 1.27 .04 8.56 .10 22.04 .17 .28 .73 309.99 .33 330.80 .07 1.31 .04 8.66 .11 22.21 .16 .27 .74 310.32 .33 330.87 .07 1.35 .05 8.77 .11 22.37 .16 '.26 .75 310.65 .33 330.94 .07 1.40 .04 8.88 .10 22.53 .17 .25 .76 310.98 .33 331.01 .06 1.44 .04 8.98 .11 2U.70 .16 .24 .77 311.31 .33 331.07 .06 1.48 .05 9.09 .11 22.86 .17 .23 .78 311.64 .32 331.13 .06 1.53 .04 9.20 .11 23.03 .17 .22 .79 311.96 .32 331.19 .06 1.57 .05 9.31 .11 23.20 .17 .21 .80 312.28 .32 331.25 .05 1.62 .05 9.42 .11 23.37 .17 .20 .81 312.60 .31 331.30 .05 1.67 .04 9.53 .11 23.54 .17 .19 .82 312.91 .31 331.35 .05 1.71 .05 9.64 .11 23.71 .17 .18 .83 313.22 .31 331.40 .05 1.76 .05 9.75 .11 23.88 .17 .17 .84 313.53 .31 331.45 .04 1.81 .05 9.86 .12 24.05 .17 .16 .85 313.84 .30 331.49 .04 1.86 .05 9.98 .11 24.22 .17 .15 .86 314.14 .30 331.53 .04 1.91 • .05 10.09 .11 24.39 .18 .14 .87 314.44 .30 331.57 .04 1.96 .05 10.20 .12 24.57 .17 .13 .88 314.74 .30 331.61 .03 2.01 .05 10.32 .11 24.74 .17 .12 .89 315.04 .30 331.64 .03 2.06 .05 10.43 .12 24.91 .17 .11 .90 315.34 .29 331.67 .03 2.11 .05 10.55 .12 25.08 .18 .10 .91 315.63 .29 331.70 .02 2.16 .05 10.67 .11 25.26 .17 .09 .92 315.92 .29 331.72 .02 2.21 .06 10.78 .12 25.43 .18 .08 .93 316.21 .29 331.74 .02 2.27 .05 10.90 .12 25.61 .18 .07 .94 316.50 .29 331.76 .01 2.32 .06 11.02 .12 25.79 .17 .06 .95 316.79 .28 331.77 .01 2.38 .05 11.14 .12 25.96 .18 .05 .96 317.07 .28 331.78 .01 2.43 .06 11.26 .12 26.14 .18 .04 .97 317.35 .28 331.79 .01 2.49 .06 11.38 .12 26.32 .18 .03 .98 317.63 .27 331.80 .00 2.55 .06 11.50 .12 26.50 .17 .02 .99 317.90 .27 331.80 .00 2.61 .06 11.62 .12 26.67 .18 .01 1.00 318.17 .27 331.80 .00 2.67 .06 11.74 .12 26.85 .18 .00 Days. 9 8 29 28 27 Days. 159 TABLE XIV. ARGUMENT 9. Equation-- 148".l [1-J-sin. (* — •:)]. Period, 29.802826 days. Days. 3 4 S « 7 8 Days. I'-.-IMI..'. of a D»y. Equation. Diff K|ll.llH»H. Diff. Equation. Diff Equation- Diff }', lIl.ltllM Diff. l;l|IM1 Kin Diff Decimate :( il Day. .00 26.85 - .18 47.33 .23 72.28 .27 100.58 .29 130.99 .31 162.15 .31 1.00 .01 27.03 .18 47.56 .23 72.55 .27 100.87 .30 131.30 .31 162.46 .31 .!)!) .02 27.21 .18 47.79 .23 72.82 .27 101.17 .30 181.61 .31 162.77 .31 .98 .03 27.39 .18 48.02 .23 73.09 .27 101.47 .29 131.92 .31 163.08 .31 .97 .04 27.57 .18 48.25 .23 73.36 .27 101.76 .30 13253 .31 163.39 .31 .96 .05 27.75 .19 48.48 .23 73.63 .27 102.06 .30 132.54 .31 163.70 .31 .95 .06 27.94 .18 48.71 .24 73.90 .27 108.36 .29 132.85 .31 161.01 .31 .91 .07 28.12 .18 48.95 .23 74.17 .27 102.65 .30 133.16 .31 164.33 .31 .93 .08 28.30 .19 49.18 .23 74.44 .27 102.95 .30 183.47 .31 164.63 .31 .92 .09 28.49 .18 49.41 .23 74.71 .27 103.25 .30 133.78 .31 164.94 .31 .91 .10 28.67 .18 49.64 .23 74.98 .27 103.55 .30 134.09 .31 165.25 .31 .90 .11 28.85 ' .19 49.87 .23 75.25 .27 103.85 as 184.40 .31 165.56 .31 .89 .12 29.04 .18 50.10 .23 75.52 .27 104.14 .30 184.71 .31 165.87 .31 .88 .13 29.22 .19 50.33 .24 75.79 .28 104.44 .30 135.02 .31 166.18 Jl .87 .14 29.41 .19 50.57 .23 76.07 .27 104.74 .30 185.83 .31 166.49 .31 .86 .15 29.60 .18 50.80 .24 76.34 .27 105.04 .30 135.64 .32 166.80 .31 .85 .16 29.78 .19 51.04 .24 76.61 .28 105.34 .30 135.96 .31 167.11 .31 .84 .17 29.97 .19 51.28 .23 76.89 .27 105.64 .30 136.27 .31 167.42 .31 .83 .18 30.16 .19 51.51 .24 77.16 .28 105.94 .30 136.58 .31 167.73 .31 .N2 .19 30.35 .19 51.75 .24 77.44 .27 106.24 .30 136.89 .31 168.04 .31 .81 .20 30.54 .19 51.99 .24 77.71 .28 106.54 .30 137.20 .31 168.35 .31 .80 .21 30.73 .19 52.23 .24 77.99 .27 106.84 .30 137.51 A! 168.66 .31 .7!) .22 30.92 .19 52.47 .24 78.26 .28 107.14 .30 137.82 .31 168.97 .31 .78 .23 31.11 .20 52.71 .24 78.54 .27 107.44 .30 188.13 .32 169.28 .31 .77 .24 31.31 .19 52.95 .24 78.81 X 107.74 .30 138.45 .31 169.59 .31 .76 .25 31.50 .19 53.19 .24 79.09 .27 108.04 .30 138.76 .31 169.90 .31 .75 .26 31.69 .20 53.43 .24 79.36 .28 108.34 .30 139.07 .31 170.21 .80 .71 .27 31.89 .19 53.67 .24 79.64 .27 108.64 .81 139.38 .31 170.51 .31 .73 .28 32.08 .19 53.91 .24 79.91 .28 108.95 .30 139.69 .32 170.82 .31 .72 .29 32.27 .20 54.15 .24 80.19 .28 109.25 .HO 140.01 .31 171.13 .31 .71 .30 32.47 .20 54.39 .24 80,17 .28 109.55 .30 140.32 .31 171.44 .31 .70 .31 32.67 .19 54.63 .24 80.75 .27 109.85 .80 140.63 .31 171.75 .31 .(1!) .32 32.N6 .20 54.87 .-jr. 81.02 .28 110.15 ,80 140.94 .31 172.06 .30 .68 .33 88.06 .20 55.12 .24 81.30 .28 110.45 .31 111.25 .32 172.38 .31 .67 .34 33.26 .20 55.36 .25 81.58 .28 110.76 .30 141.57 .31 172.67 .31 .66 .35 33. if, .19 55.61 .24 81.86 .28 111.06 .30 141.88 .31 172.98 .31 .65 .36 :«:(.<;;> .20 .96 N-,>. 1 1 58 111.36 .30 142.19 .31 173.2!) .31 .(il .37 88.88 .20 56.10 .24 N2. 12 58 111.60 .80 1 12.50 .31 178.60 JO .68 .38 3i.o.-> .20 66.34 36 82.70 its 111.98 .31 1 12. SI .32 173.90 .31 .62 .39 34.25 .20 56.59 .25 N2.HN .28 112.27 .30 143.18 .31 171.21 .31 .61 .40 34.45 .20 56.84 .25 83.26 .28 112.57 .30 143.44 .31 171.52 .31 .60 .41 31.65 .20 57.09 .24 88.54 28 1 12.87 .81 1 13.75 .31 174,83 .31 .59 .42 :{|.N:> .21 57.33 .25 83.82 .28 113.18 JO lll.Oli .:{! 175.11 JO .58 .43 86.00 .20 67.58 36 84.10 £8 113.48 JO Ill.:t7 .82 175.11 J] .57 .44 :;.,-.'., .20 57.83 » 84.38 SB 118.78 Jl 111. (I!) .31 175.75 J] .56 .45 85.44 .20 68.00 .24 84.66 .29 114.09 JO 115.00 .31 176.06 .30 .55 .46 :t:,.(it; .21 68.82 .25 84.96 as 114.39 .31 1 I.-I.3I .31 176,80 .31 .51 .47 :{.-.. N? .20 68.51 J6 86.23 36 114.70 .80 1 15.62 .31 176.61 .31 .58 .48 86.01 .20 68.89 .25 s:, ;, 1 as 1 15.00 .81 145.93 .88 176.98 JO .52 .49 36.27 .21 69.07 46 86.80 36 116.81 JO 1 Ki.25 .81 177.2S .31 .51 .50 36. is .?] :l .25 86.08 36 115.61 .31 146.56 .81 177.5!) .31 .50 Days. 2O 9S 34 33 33 31 Days. 160 TABLE XIV. ARGUMENT 9. Equation— 148".l [1 +sin. (* — *)]. Period, 29.802826 days. Days. 3 4 5 6 r 8 Days. Deciimi of a Day Equation. Uiff. Biuauon. Diff. Equation. Ditf. Equation. Diff. Equation. Diff Equation. Diff. Decimals' i>fa Day. .50 36.48 .21 ' 59.32 .25 86.08 .28 115.61 .31 146.56 .31 177.59 .31 .50 .51 36.69 .20 59.57 .25 86.36 .29 115.92 .30 146.87 .31 177.90 .30 .49 .52 36.89 .21 59.82 .25 86.65 .28 116.22 .31 147.18 .32 178.20 .31 .48 .53 37.10 .21 60.07 .25 86.93 .29 116.53 .30 147.50 .31 178.51 .30 .47 .51 37.31 .21 60.32 .25 87.22 .28 116.83 .31 147.81 .31 178.81 .31 .46 .55 37.52 .20 60.57 .26 87.50 .29 117.14 .30 148.12 .32 179.12 .30 .45 .56 37.72 .21 60.83 .25 87.79 .28 117.44 .31 148.44 .31 179.42 .31 .44 .57 37.93 .21 61.08 .25 88.07 .29 117.75 .30 148.75 .31 179.73 .30 .43 .58 38.14 .21 61.33 .26 88.36 .28 118.05 .31 149.06 .32 180.03 .31 .42 .59 38.35 .21 61.59 .25 88.64 .29 118.36 .30 149.38 .31 180.34 .30 .41 .60 38.56 .21 61.84 .25 88.93 .29 118.66 .31 149.69 .31 180.64 .31 .40 .61 38.77 .21 62.09 .26 89.22 .28 118,97 .30 150.00 .31 180.95 .30 .39 .62 38.98 .21 62.35 .25 89.50 .29 119.27 .31 150.31 .31 181.25 .31 .38 .63 39.19 .21 62.60 .25 89.79 .29 119.58 .30 150.62 .32 181.56 .30 .37 .64 39.40 .22 62.85 .26 90.08 .29 119.88 .31 150.94 .31 181.86 .31 .36 .65 39.62 .21 63.11 .25 90.37 .28 120.19 .30 151.25 .31 182.17 .30 .35 .66 39.83 .21 63.36 .26 90.65 .29 120.49 .31 151.56 .31 182.47 .30 .34 .67 40.04 .21 63.62 .26 90.94 .29 120.80 .30 151.87 .31 182.77 .31 .33 .68 40.25 .22 63.88 .25 91.23 .29 121.10 .31 152.18 .32 183.08 .30 .32 .69 40.47 .21 64.13 .26 91.52 .29 121.41 .31 152.50 .31 183.38 .30 .31 .70 40.68 .21 64.39 .26 91.81 .29 121.72 .30 152.81 .31 183.68 .30 .30 .71 40.89 .22 64.65 .26 92.10 .29 122.03 .30 153.12 .31 183.98 .30 . .29 .72 41.11 .21 64.91 .25 92.39 .29 122.33 .31 153.43 .31 184.28 , .31 .28 .73 41.32 .22 65.16 .26 92.68 .29 122.64 .31 153.74 .32 184.59 .30 .27 .74 41.54 .22 65.42 .26 92.97 .29 122.95 .31 154.06 .31 184.89 .30 .26 .75 41.76 .21 65.68 .26 93.26 .29 123.26 .31 154.37 .31 185.19 .30 .25 .76 41^7 .22 65.94 .26 93.55 .29 123.57 .30 154.68 .31 185.49 .30 .24 .77 42^9 .22 66.20 .26 93.84 .29 123.87 .31 154.99 .31 185.79 .31 .23 .78 42.41 .22 66.46 .26 94.13 .29 124.18 .31 155.30 .32 186.10 .30 .22 .79 42.63 .22 66.72 .26 94.42 .29 124.49 .31 155.62 .31 186.40 .30 .21 .80 42.85 .22 66.98 .26 94.71 .29 124.80 .31 155.93 .31 186.70 .30 .20 .81 43.07 .22 67.24 .26 95.00 .29 125.11 .31 156.24 .31 187.00 .30 .19 .82 43.29 .22 67.50 .26 95.29 .29 125.42 .31 156.55 .31 187.30 .30 .18 .83 43.51 .22 67.76 .27 95.58 .29 125.73 .30 156.86 .31 187.60 .30 .17 .84 43.73 .23 68.03 .26 95.87 .29 126.03 .31 157.17 .32 187.90 .30 .16 .85 43.96 .22 68.29 .26 96.16 .30 126.34 .31 157.49 .31 188.20 .30 .15 .86 44.18 .22 68.55 .27 96.46 .29 126.65 .31 157.80 .31 18850 .30 .14 .87 44.40 .22 68.82 .26 96.75 .29 126.96 .31 158.11 .31 188.80 .30 .13 .88 44.62 .23 69.08 .26 97.04 .30 127.27 .31 158.42 .31 189.10 .30 .12 .89 44.85 .22 69.34 .27 97.34 .29 127.58 .31 158.73 .31 189.40 .30 .11 .90 45.07 .22 69.61 .27 97.63 .29 127.89 .31 159.04 .31 189.70 .30 .10 .91 45.29 .22 69.88 .26 97.92 .30 128.20 .31 159.35 .31 190.00 .30 .09 .92 45.51 .23 70.14 .27 98.22 .29 128.51 .31 159.66 .32 190.30 .30 .08 .93 45.74 .22 70.41 .27 98.51 .30 128.82 .31 159.98 .31 190.60 .30 .07 .94 45.96 .23 70.68 .26 98.81 .29 129.13 .31 160.29 .31 190.90 .30 .06 .95 46.19 .22 70.94 .27 99.10 .30 129.44 .31 160.60 .31 191.20 .29 .05 .96 46.41 .23 71.21 .27 99.40 .29 129.75 .31 160.91 .31 191.49 .30 .04 .97 46.64 .23 71.48 .26 99.69 .30 130.06 .31 161.22 .31 191.79 .30 .03 .98 46.87 .23 71.74 .27 99.99 .29 130.37 .31 161.53 .31 192.09 .30 .02 .99 47.10 .23 72.01 .27 100.28 .30 130.68 .31 L61.84 .31 192.39 .30 .01 1.00 47.33 .23 72.28 .27 100.58 .29 130.99 .31 162.15 .31 192.69 .30 .00 Days. 26 25 24 23 22 21 Days. 161 TABLE XIV ARGUMENT 9. Equation = 148 '.1 [1 -f sin. (x — z)] Period, 29.802826 days. Days. 9 10 11 13 13 14 Days. DerinuU of a liny ll(U.ilMU. Diff. Equation. nut: Equation. Diir. Equation. Diti: KqiUlkm. Diir. Equation. DifT 1 'ri'im.i nfa Day .00 192.69 .30 221.26 .27 246.59 .23 267.56 .18 283.23 .13 892.92 .06 1.00 .01 192.99 .29 221.53 .27 246.82 .24 267.74 .19 283.36 .13 292.98 .07 .99 .02 193.28 .30 221.80 .27 247.06 .23 267.93 .18 283.49 .13 293.05 .06 .98 .03 193.5S .30 222.07 .27 247.29 .23 268.11 .18 283.62 .12 293.11 .06 .97 .04 193.88 .29 222.34 .27 247.52 .23 268.29 .18 283.74 .13 293.17 .07 .96 .05 194.17 .30 222.61 .27 247.75 .23 268.47 .19 283.87 .12 293.24 .06 .95 .06 191,17 .30 222.88 .27 247.98 .23 268.66 .18 283.99 .13 293.30 .06 .94 .07 191.77 .29 223.15 .27 248.21 .23 268.84 .18 284.12 .12 293.36 .06 .93 .08 19506 .30 223.42 .27 248.44 .23 269.02 .18 284.24 .12 293.42 .06 .92 .09 195.36 .30 223.69 .27 248.67 .23 269.20 .18 284.36 .12 293.48 .06 .91 .10 195.66 .30 223.96 .27 248.90 .23 269.38 .18 284.48 .12 293.54 .06 .90 .11 195.96 .29 224.23 .27 249.13 .23 269.56 .18 281.00 .12 293.60 .06 .89 .12 196.25 .30 224.50 .26 249.36 .22 269.74 .18 284.72 .12 293.66 .06 .88 .13 196.55 .29 224.76 .27 249.58 .23 269.92 .17 284.84 .12 293.72 .05 .87 .14 196.84 .30 225.03 .27 249.81 .23 270.09 .18 284.96 .12 293.77 .06 .86 .15 197.14 .29 225.30 .26 250.04 .22 270.27 .18 285.08 .12 293.83 .06 .85 .16 197.43 .30 225.56 .27 250.26 .23 270.45 .17 285.20 .12 293.89 .05 .84 .17 197.73 .29 225.83 .27 250.49 .22 270.62 .18 285.32 .11 2!>:i.!»l .06 .83 .18 198.02 .30 226.10 .26 250.71 .23 270.80 .17 285.43 .12 294.00 .05 .82 .19 198.32 .29 226.36 .27 250.94 .22 270.97 .17 285.55 .12 294.05 .05 .81 .20 198.61 .29 226.63 .26 251.16 .22 271.14 .17 285.67 .11 294.10 .05 .80 .21 198.90 .30 226.89 .27 251.38 .23 271.31 .17 285.78 .12 294.15 .05 .79 .22 199.20 .29 227.16 .26 861.61 .22 271.48 .18 285.90 .11 294.20 .05 .78 .23 199.49 .29 227.42 .26 251.83 .22 271.66 .17 J286.01 .12 294.25 .05 .77 .24 199.78 .30 227.68 .27 252.05 .22 271.83 .17 286.13 .11 294.30 .05 .76 .25 200.08 .29 227.95 .26 252.27 .23 272.00 .17 286.24 .11 294.35 .05 .75 .26 200.37 .29 22821 .26 252.50 .22 272.17 .17 286.35 .12 294.40 .05 .74 .27 200.66 .29 228.47 .27 252.72 .22 272.34 .17 286.47 .11 294.45 .05 .73 .28 200.95 .29 228.74 .26 252.94 .22 272.51 .17 286.58 .11 294.50 .04 .72 .29 201.24 .29 229.00 .26 253.16 .22 272.68 .17 286.69 .11 294.54 .05 .71 .30 201.53 .29 229.26 .26 253.38 .22 272.85 .17 286.80 .11 294.59 .05 .70 .31 201.82 .29 229.52 .26 253.60 .22 273.02 .17 286.91 .11 294.64 .01 .69 .32 202.11 .29 229.781 .26 253.82 .22 273.19 .17 287.02 .11 294.68 .05 .68 ..13 202.40 .29 230.0 1 .26 354.04 .21 273.36 .16 287.13 .10 294.73 .04 .67 .34 202.69 .29 230.30 .26 254.25 .22 273.52 .17 287.23 .11 294.77 .01 .66 .35 202.98 .29 230.56 .26 254.47 .22 273.69 .16 287.34 .11 294.81 .05 .65 J8 203.27 .29 230.82 .26 354.69 .21 273.85 .17 287.45 .10 294.86 .01 .64 .37 203.56 .29 231.08 .25 35496 .22 274.02 .16 287.55 .11 294.90 .01 .63 .38 203.85 .29 231.33 .26 355.19 .21 271.18 .16 287.66 .10 294.94 .04 .62 .39 204.14 .29 231.59 .26 255.33 .22 274.34 .16 287.76 .10 294.98 .01 .61 .40 204.43 .29 231.85 .26 255.55 .21 274.50 .16 287.86 .10 295.02 .01 .60 .41 204.72 .29 232.11 .25 255.76 .21 274.66 .16 287.96 .10 395.06 .04 .59 .42 205.01 .29 383.86 .26 255.97 .22 27 1.82 .16 988.08 .10 ii!)."). 10 .01 .58 .43 205.30 .28 232.62 .25 356.19 .21 271.98 .16 388.16 .10 395.14 .03 .57 .44 205.58 .29 232.87 .26 256.40 .21 375.M .16 288.26 .10 295.17 .04 .56 .45 205.87 .29 233.13 .25 256.61 .21 275.30 .16 288.36 .10 295.21 .04 .55 .46 206.16 .29 388.86 .26 256.82 .22 275.46 .16 388 n; .10 395.35 .03 .54 .47 201; I.-. .28 388.64 .25 257.01 .21 275.62 .16 288 56 .10 395.28 .04 .53 M 986.78 48 388.89 .96 257.25 .21 275.78 .16 388.66 .10 295.32 .08 .52 .1!) 207.02 .29 384.10 .86 357.46 .21 275.94 .16 288.76 .10 395.35 .03 .51 .50 307.81 .29 234.40 .25 257.67 .21 276.10 .16 288.86 .10 295.38 .03 .50 Days. 90 19 18 IT 16 IS Days. 162 TABLE XIV. ARGUMENT 9. Equation = 148".l [1 -f sin. (x — z)]. Period, 29.802826 days. Days. 9 IO 11 12 18 14 Days. ttcinrala fit II.IV. Equation. Diff. Equation. Diff Equation. DilT Equation. Ditr. Equation. Diff Equation. Diff lecimals fa Day .50 207.31 .29 234.40 .25 257.67 .21 276.10 .16 288.86 .10 295.38 .03 .50 .51 207.60 .28 234.65 .26 257.88 .21 276.26 .16 288.96 .10 295.41 .03 .49 .52 207.88 .29 234.91 .25 258.09 .21 276.42 .15 289.06 .09 295.44 .03 .48 .53 208.17 .28 235.16 .25 258.30 .21 276.57 .16 289.15 .09 295.47 .03 .47 .54 208.45 .29 235.41 .25 258.51 .20 276.73 .15 289.24 .10 295.50 .03 .46 .55 208.74 .28 235.66 .26 258.71 .21 276.88 .15 289.34 .09 295.53 .03 .45 .56 209.02 .29 235.92 .25 258.92 .21 277.04 .15 289.43 .10 295.56 .03 .44 .57 209.31 .28 236.17 .25 259.13 .21 277.19 .15 289.53 .09 295.59 .03 .43 .58 209.59 .29 236.42 .25 259.34 .20 277.34 .15 289.62 .09 295.62 .03 .42 .59 209.88 .28 236.67 .25 259.54 .21 277.49 .15 289.71 .09 295.65 .03 .41 .60 210.16 .28 236.92 .25 259.75 .21 277.64 .15 289.80 .09 295.68 .03 .40 .61 210.44 .29 237.17 .25 259.96 .20 277.79 .15 289.89 .09 295.71 .02 .39 .62 210.73 .28 237.42 .25 260.16 .21 277.94 .15 289.98 .09 295.73 .03 .38 .63 211.01 .28 237.67 .25 260.37 .20 278.09 .15 290.07 .09 295.76 .02 .37 .64 211.29 .28 237.92 .24 260.57 .21 278.24 .15 290.16 .09 295.78 .02 .36 .65 211.57 .29 238.16 .25 260.78 .20 278.39 .15 290.25 .08 295.80 .03 .35 .66 211.86 .28 238.41 .25 260.98 .20 278.54 .15 290.33 .09 295.83 .02 .34 .67 212.14 .2*8 238.66 .25 261.18 .20 278.69 .14 290.42 .09 295.85 .02 .33 .68 212.42 .28 238.91 .24 261.38 .20 278.83 .15 290.51 .08 295.87 .02 .32 .69 212.70 .28 239.15 .25 261.58 .20 278.98 .15 290.59 .09 295.89 .02 .31 .70 212.98 .28 239.40 .25 261.78 .20 279.13 .15 290.68 .08 295.91 .02 .30 .71 213.26 .28 239.65 .24 261.98 .20 279.28 .14 290.76 .08 295.93 .02 .29 .72 213.54 .28 239.89 .25 262.18 .20 279.42 .15 290.84 .09 395.95 .02 .28 .73 213.82 .28 240.14 .25 262*38 .20 279.57 .15 290.93 .08 295.97 .02 .27 .74 214.10 .28 240.39 .24 262.58 .20 279.72 .14 291.01 .08 295.99 .01 .26 .75 214.38 .28 240.63 .25 262.78 .19 279.86 .14 291.09 .08 296.00 .02 .25 .76 21 1.66 .27 240.88 .24 262.97 .20 280.00 .14 291.17 .08 296.02 .01 .24 .77 211.93 .28 241.12 .24 263.17 .20 280.14 .14 291.25 .08 296.03 .02 .23 .78 215.21 .28 241.36 .24 263.37 .19 280.28 .14 291.33 .08 296.05 .01 .22 .79 215.49 .28 241.60 .24 263.56 .20 280.42 .14 291.41 .08 296.06 .01 .21 .80 215.77 .28 241.84 .24 263.76 .20 280.56 .14 291.49 .08 296.07 .01 .20 .81 216.05 .27 242.08 .24 263.96 .19 280.70 .14 291.57 .08 296.08 .01 .19 .82 216.32 .28 242.32 .24 264.15 .20 280.84 .14 291.65 .07 296.09 .01 .18 .83 216.60 .28 242.56 .24 264.35 .19 280.98 .14 291.72 .08 296.10 .01 .17 .84 216.88 .27 242.80 .24 264.54 .19 281.12 .13 291.80 .08 296.11 .01 .16 .85 217.15 .28 243.04 .24 264.73 .20 281.25 .14 291.88 .07 296.12 .01 .15 .86 217.43 .27 243.28 .24 264.93 .19 281.39 .13 291.95 .08 296.13 .01 .14 .87 217.70 .28 243.52 .24 265.12 .19 281.52 .14 292.03 .07 296.14 .00 .13 .88 217.98 .27 243.76 .24 265.31 .19 281.66 .13 292.10 .07 296.14 .01 .12 .89 218.25 .28 244.00 .24 265.50 .19 281.79 .13 292.17 .07 296.15 .01 .11 .90 218.53 .27 244.24 .24 265.69 .19 281.92 .13 292.24 .07 296.16 .00 .10 .91 218.80 .28 244.48 .24 265.8S .19 282.05 .13 292.31 .07 296.16 .01 .09 .92 219.08 .27 244.72 .23 266.07 .19 282.18 .14 292.38 .07 296.17 .01 .08 .93 219.35 .27 244.95 .24 266.26 .19 282.32 .13 292.45 .07 296.18 .00 .07 .94 219.62 .28 245.19 .23 266.45 .19 282.45 .13 292.52 .07 296.18 .01 .06 .95 219.90 .27 245.42 .24 266.64 .19 282.58 .13 292.59 .07 296.19 .00 .05 .96 220.17 .27 245.66 .23 266.83 .18 282.71 .13 292.66 .06 296.19 .01 .04 .97 220.44 .28 245.89 .24 267.01 .18 282.84 .13 292.72 .07 296.20 .00 .03 .98 220.72 .27 246.13 .23 267.19 .19 282.97 .13 292.79 .07 296.20 .00 .02 .99 220.99 .27 246.36 .23 267.38 .18 283.10 .13 292.86 .06 296.20 .00 .01 1.00 221.26 .27 246.591 .23 267.56 .18 283.23 .13 292.92 .06 296.20 .00 .00 Days. 2O 19 IS 17 16 15 Days. 163 TABLE XV. ARGUMENT 10. Equation = 110".0 [1 — sin. (x + t)]. Period, 25.621696 days. Days. O 1 3 3 4 .» Days. I'-Viuu of a Day Equation. Diff. EquiUiui), DI ir. Equation. DUE Bquiiiwi. niir. Equation. Diff. Equation. Diff. Decimal* •1 ,1 lliU a a tt .00 219.88 .01 217.84 .05 209.32 .12 194.88 .17 175.36 .22 151.92 .25 1.00 .01 219.89 .01 217.79 .06 209.20 .11 194.71 .17 175.14 .22 151.67 .'<""> .99 .02 219.90 .01 217.73 .05 209.09 .12 194.54 .17 174.92 .22 151.42 .25 .98 .03 219.91 .01 217.68 .06 208.97 .12 194.37 .17 174.70 .21 151.17 .25 .97 .04 219.92 .01 217.62 .06 208.85 .12 194.20 .18 174.49 .22 150.92 .25 .96 .05 219.93 .01 217.56 .05 208.73 .12 194.02 .17 174.27 .22 150.67 .25 .95 .06 219.94 .01 217.51 .06 208.61 .12 193.85 .18 174.05 .22 150.42 .26 .91 .07 219.95 .01 217.45 .06 208.49 .12 193.67 .18 173.83 .22 150.16 .25 .<)!! .08 219.96 .01 217.39 .06 208.37 .12 193.49 .18 173.61 .22 149.91 .25 .92 .09 219.97 .01 217.33 .06 208.25 .12 193.31 .18 173.39 .22 149.66 .25 .91 .10 219.98 .00 217.27 .06 208.13 .12 193.13 .17 173.17 .22 149.41 .25 .90 .11 219.98 .01 217.21 .06 208.01 .12 192.96 .18 172.95 .22 149.16 .26 .89 .12 219.99 .00 217.15 .06 207.89 .12 192.78 .18 172.73 .23 148.90 .25 .88 .13 219.99 .00 217.09 .06 207.77 .12 192.60 .18 172.50 .22 148.65 .25 .87 .14 219.99 .01 217.03 .07 207.65 .13 192.42 .18 172.28 .22 148.40 .2(i .86 .15 220.00 .00 216.96 .06 207.52 .12 192.24 .18 172.06 .23 148.14 .25 .85 .16 220.00 .00 216.90 .06 207.40 .13 192.06 .18 171.83 .22 147.89 .25 .84 .17 220.00 .00 216.84 .07 207.27 .12 191.88 .18 171.61 .22 '147.64 .20 .N.-} .18 220.00 .00 216.77 .06 207.15 .13 191.70 .18 171.39 .23 147.38 .-.>:> .82 .19 220.00 .00 216.71 .07 207.02 .13 191.52 .18 171.16 .22 147.13 .25 .81 .20 220.00 .00 216.64 .07 206.89 .13 191.34 .18 170.94 .22 146.88 .26 .80 .21 220.00 .00 216.57 .07 206.76 .13 191.16 .18 170.72 .23 146.62 .25 .79 .22 220.00 .00 216.50 .07 206.63 .13 190.98 .18 170.49 .22 146.37 .25 .78 .23 220.00 .00 216.43 .07 20650 .13 190.80 .18 170.27 .23 146.12 .26 .77 .21 220.00 .01 216.36 .07 206.37 .13 190.62 .19 170.04 .22 145.86 .25 .76 .25 219.99 .00 216.29 .07 206.24 .13 190.43 .18 169.82 .23 145.61 .25 .75 .26 219.99 .01 216.22 .07 206.11 .13 190.25 .18 169.59 .23 145.36 .26 .74 .27 21998 .00 216.15 .07 205.98 .13 190.07 .19 109.86 .22 145.10 .25 .73 .28 219.98 .01 216.08 .07 205.85 .13 189.88 .18 169.14 .23 144.85 .26 .72 .29 219.97 .01 216.01 .07 205.72 .13 189.70 .19 168.91 .23 144.59 .25 .71 .30 219.96 .01 215.94 .07 205.59 .13 189.51 .18 168.68 .23 144.34 .26 .70 .31 219.95 .01 215.87 .07 205.46 .13 189.33 .19 168.45 .23 144.08 .25 .69 .32 219.94 .01 215.80 .08 205.33 .14 189.14 .19 168.22 .23 143.83 .26 .68 .33 219.93 .01 215.72 .07 205.19 .13 188.95 .18 167.99 .23 143.57 .26 .67 .34 219.92 .01 215.65 .08 205.06 .14 188.77 .19 167.76 .23 143.31 .25 .66 .35 219.91 .01 215.57 .07 204.92 .13 \88M .19 167.53 .23 143.06 .26 .65 .36 219.90 .01 215.50 .ON 201.79 .14 L88J8 .19 167.30 .23 14280 .26 .(it .37 219.89 .01 315.49 .08 904.65 .11 [86.90 .19 167.07 M 142.54 .25 48 .38 219.88 .02 215.34 .08 204.51 .14 188.01 .19 166.81 .23 1 r».29 £6 .62 .39 219.86 .01 215.26 .08 204.37 .14 187.82 .19 166.61 .23 142.03 .26 .61 .40 219.85 .02 215.18 .08 201.23 .14 187.63 19 166.38 M 141.77 .26 .60 .41 219.83 .01 815.10 .08 201.09 .11 187.44 .19 166.15 .2:t 141.51 .26 .59 .42 219.82 .02 215.02 .08 203.96 .11 187.25 .19 LC5.99 :2\ 141.25 £5 .58 .43 219.HO .01 214.94 joe 208.81 .11 187.06 .20 165.68 .2:t 141.00 M .57 .41 219.79 .02 211.86 .OS 208.87 .14 186.86 .19 165.45 .ii:t 140.71 .26 .56 .45 219.77 .01 214.78 .08 •08.51 .It 186.67 .19 165.22 .24 140.48 .26 .55 .4f> 219.76 .02 214.70 .09 208.89 45 186.48 .20 164.98 .23 140.22 .26 .51 .47 219.74 .02 214.61 .08 203.24 .11 186.28 .1!) Hi 1.75 .'-.»:( 139 .M .26 .53 .48 219.72 .02 214.58 .09 208.10 .15 186.00 .20 164.52 .21 189.70 .26 .52 .49 21 !).?() .02 214.44 .08 202.95 .14 IS5.M .19 164.28 aa 189.44 .26 .51 .50 219.6S .02 214.36 .09 202.81 .15 185.70 .20 164.05 .24 139.18 .26 .:->() Days. 35 34 33 33 31 3O Days. 164 TABLE XV. ARGUMENT 1O. Equation = 110".0 [1 — sin. (s + z)]. Period, 25.621696 days. Days. O 1 2 3 4 5 Days. Decimal*! ol'ii Day Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Decimals if a Day. _ J u n H • .50 219.68 .02 214.36 .09 202.81 .15 185.70 .20 164.05 .24 139.18 .26 .50 .51 219.66 .02 214.27 .08 202.66 .14 185.50 .19 163.81 .23 138.92 .26 .49 .52 219.64 .02 214.19 .09 202.52 .15 185.31 .20 163.58 .24 138.66 .26 .48 .53 219.62 .02 214.10 .09 202.37 .14 185.11 .20 163.34 .24 138.40 .26 .47 .54 219.60 .03 214.01 .08 202.23 .15 184.91 .19 163.10 .23 138.14 .26 .46 .55 219.57 .02 213.93 .09 202.08 .15 184.72 .20 162.87 .24 137.88 .26 .45 .56 219.55 .03 213.84 .09 201.93 .15 184.52 .20 162.63 .24 137.62 .26 .44 .57 219.52 .02 213.75 .OJ 201.78 .15 184.32 .20 162.39 .23 137.36 .27 .43 .58 219.50 .03 213.66 .09 201.63 .15 184.12 .20 162.16 .24 137.09 .26 .42 .59 219.47 .03 213.57 .09 201.48 .15 183.92 .20 161.92 .24 136.83 .26 .41 .60 219.44 .03 213.48 .09 201.33 .15 183.72 .20 161.68 .24 136.57 .26 .40 .61 219.41 .03 213.39 .09 201.18 .15 183.52 .20 161.44 .24 136.31 .27 .39 .62 219.38 .03 213.30 .09 201.03 .15 183.32 .20 161.20 .24 136.04 .26 .38 .63 219.35 .03 213.21 .09 200.88 .15 183.12 .21 160.96 .24 135.78 .26 .37 .64 219.32 .03 213.12 .10 200.73 .15 182.91 .20 160.72 .24 135.52 .27 .36 .65 219.29 .03 213.02 .09 200.58 .16 182.71 .20 160.48 .24 135.25 .26 .35 .66 219.26 .03 212.93 .10 200.42 .15 182.51 .21 160.24 .24 134.99 .26 .34 .67 219.23 .03 212.83 .09 200.27 .16 182.30 .20 160.00 .24 134.73 .27 .33 .68 219.20 .03 212.74 .10 200.11 .15 182.10 .21 159.76 .24 134.46 .26 .32 .69 219.17 .03 212.64 .10 199.96 .16 181.89 .20 159.52 .24 134.20 .26 .31 .70 219.14 .04 212.54 .10 199.80 .16 181.69 .21 159.28 .24 133.94 .27 .30 .71 219.10 .03 212.44 .10 199.64 .15 181.48 .20 159.04 .24 133.67 .26 .29 .72 219.07 .04 212.34 .10 199.49 .16 181.28 .21 158.80 .24 133.41 .27 .28 .73 219.03 .03 212.24 .10 199.33 .16 181.07 .21 158.56 .24 133.14 .26 .27 .74 219.00 .04 212.14 .10 199.17 .15 180.86 .20 158.32 .25 132.88 .27 .26 .75 218.96 .03 212.04 .10 199.02 .16 180.66 .21 158.07 .24 132.61 .2<> .25 .76 218.93 .04 211.91 .10 198,86 .16 180.45 .21 157.83 .24 132.:!5 .27 .24 .77 218.89 .04 211.84 .11 198.70 .16 180.24 !20 157.59 .24 132.08 .26 .23 .78 218.85 .04 211.73 .10 198.54 .16 180.04 .21 157.35 .25 131.82 .27 .22 .79 218.81 .04 211.63 .10 198.38 .1G 179.83 .21 157.10 .24 131.55 .26 .21 .80 218.77 .04 211.53 .11 198.22 .16 179.62 .21 156.86 .24 131.29 .27 .20 .81 218.73 .04 211.42 .10 198.06 .16 179.41 .21 156.62 .25 131.02 .26 .19 .82 218.69 .04 211.32 .11 197.90 .16 179.20 .21 156.37 .21 130.76 .27 .18 .83 218.65 .04 211.21 .10 197.74 .16 178.99 .21 156.13 .25 130.49 .26 .17 .84 218.61 .04 211.11 .11 197.58 .17 178.78 .21 155.88 .24 130.23 .27 .16 .85 218.57 .05 211.00 .11 197.41 .16 178.57 .21 155.64 .25 129.96 .26 .15 .86 218.52 .04 210.89 .10 197.25 .17 178.36 .21 155.39 .24 129.70 .27 .14 .87 218.48 .05 210.79 .11 197.08 .16 178.15 .22 155.15 .25 129.43 .26 .13 .88 218.43 .04 210.68 .11 196.92 .17 177.93 .21 154.90 .24 129.17 .27 .12 .89 218.39 .05 210.57 .11 196.75 .17 177.72 .21 154.66 .25 128.90 .26 .11 .90 218.34 .05 210.46 .11 196.58 .17 177.51 .22 154.41 .25 128.64 .27 .10 .91 218.29 .05 210.35 .11 196.41 .17 177.29 .21 154.16 .25 128.37 .26 .09 .92 218.24 .05 210.24 .11 196.24 .17 177.08 .22 153.91 .24 128. 1 1 .27 .08 .93 218.19 .05 210.13 .11 196.07 .17 176.86 .21 153.67 .25 127.84 .26 .07 .94 218.14 .05 210.02 .12 195.90 .17 176.65 .22 153.42 .25 127.58 .27 .06 .95 218.09 .05 209.90 .11 195.73 .17 176.43 .21 153.17 .25 127.31 .27 .05 .96 218.04 .05 209.79 .12 195.56 .17 176.22 .22 152.92 .25 127.04 .26 .04 .97 217.99 .05 209.67 .11 19539 .17 176.00 .21 152.67 .25 126.78 .27 .03 .98 217.94 .05 209.56 .12 195.22 .17 175.79 .22 152.42 .25 126.51 .27 .02 .99 217.89 .05 209.44 .12 195.05 .17 175.57 .21 152.17 .25 126.24 .26 .01 1.00 217.84 .05 209.32 .12 194.88 .17 175.36 .22 151.92 .25 125.98 .27 .00 Days. 23 S4 28 22 21 2O Days. 165 TABLE XV. ARGUMENT 10. Equation = 110".0 [1 — sin. (x + z)]. Period, 25.621696 days. Days. 6 7 8 9 10 11 12 Days. Decimal of a |)K> Ki{iialiou. Diff E-iu.it ion. Diflr. K ni,tli,>;i. i),ir Equation. Ditr K JM ll!"ll Diff Equation Diff IvjM.il i»n. Ditr >! .1 I'll .00 125.98 .27 99.08 .27 72.84 .25 48.81 .22 2S. |f .18 12.9 .13 3.2!: .0 1.00 .01 125.71 .26 98.81 .27 72.59 .26 48.59 .23 28.27 .18 12. s .12 3.2: .07 .99 .02 125.48 .27 98.54 .27 72.33 .25 48.36 .2- 28.09 .18 12.7- .12 3.1 .or .98 .03 125.18 .27 98.27 .27 72.08 .25 48.14 .22 27.91 .18 12.60 .13 3. 1C .07 .97 .04 124.91 .26 98.00 .26 71.83 .26 47.92 .23 27.73 .17 12.47 .12 3.0J .06 .90 .05 124.65 .27 97.74 .27 71.57 .25 47.69 .22 27.56 .18 12.35 .12 2.97 .06 .95 .06 124.38 .27 97.47 .27 71.32 .25 47.47 .2'. 27.38 .18 12.23 .13 2.9 .06 .94 .07 124.11 .26 97.20 .27 71.07 .26 47.25 .23 27.20 .18 12.10 .12 2.8! .or ,93 .08 123.85 .27 96.93 .26 70.81 .25 47.02 .22 27.02 .17 11.98 .12 2.79 .06 .92 .09 123.58 .27 96.67 .27 70.56 .25 46.80 .22 26.85 .18 11.86 .12 2.73 .06 .91 .10 123.31 .27 96.40 .27 70.31 .25 46.58 .22 26.67 .18 11.74 .12 2.67 .06 .90 .11 123.04 .26 96.13 .27 70.06 .25 46.36 .22 26.41 .17 11.62 .12 2.6 .Of .89 .12 122.78 .27 95.86 .26 69.81 .25 46.14 .22 26.32 .18 11.50 .12 2.55 .06 .88 .13 122.51 .27 95.60 .27 69.56 .26 45.92 .22 26.14 .18 11.38 .12 2.49 .Of .87 .14 122.24 .27 95.33 .27 69.30 .25 45.70 .22 25.96 .17 11.26 .12 2.43 .05 .86 .15 121.97 .27 95.06 .26 69.05 .25 45.48 ,22 25.79 .17 11.1 .12 2.38 .Of .N5 .16 121.70 .26 94.80 .27 68.80 .25 45.26 .21 25.62 .18 11.02 .12 2.85 .0: &4 .17 121.44 .27 94.53 .27 68.55 .25 45.05 .22 25.44 .17 10.90 .11 2.27 .06 .83 .18 121.17 .27 94.26 .26 68.30 .25 44.83 .22 25.27 .17 10.79 .12 2.21 .or .82 .19 120.90 .27 94.00 .27 68.05 .25 44.61 32 25.10 .17 10.67 .12 2.16 .05 .SI .20 120.63 .27 93.73 .27 67.80 .25 44.39 .22 24.93 .17 10.55 .12 2.11 .05 .so .21 120.36 .27 93.46 .26 67.55 .25 44.17 .21 24.76 .17 10.43 .11 2.06 .05 .79 .22 120.09 .26 93.20 .27 67.30 .25 43.96 .22 24.59 .17 10.32 .12 2.01 .05 .78 .23 119.83 .27 92.93 .27 67.05 34 43.74 .21 21.12 .17 10.20 .11 1.9( .05 .77 .24 119.56 .27 92.66 .26 66.81 .25 43.53 .22 24.25 .17 10.09 .12 1.91 .05 .76 .25 119.29 .27 92.40 .27 66.56 .25 43.31 .21 24.08 .17 9.97 .11 1.86 .05 .75 .26 119.02 .27 92.13 S& 66.81 .25 43.10 .21 23.91 .17 9.8f .11 1.N1 .05 .74 .27 1 18.75 .27 91.87 .27 60.06 .25 42.89 .22 23.7 1 .16 9.75 .11 1.76 .05 .73 .28 11S.4S .27 91.60 .26 65.81 .24 42.67 .21 23.58 .17 9.64 .11 1.71 .01 .72 .29 118.21 .27 91.34 .27 65.57 .25 42,46 .21 23. 1 1 .17 9.53 .11 1.67 .05 .71 .30 1 17.94 .27 91.07 .27 65.32 .35 42.25 .21 23.24 .16 9.42 ..11 1.62 .01 .70 .31 117.67 .27 90.80 .20 65.07 34 42.04 .21 23.08 .17 9.81 .11 1.58 .().-) .69 .32 117.40 .26 90.5 4 .27 64.83 a& 41.83 .21 2291 .16 9.20 .11 1.53 .04 .(is .3:t 117.14 .27 90.27 .26 64.58 .24 41.62 .21 22.75 .16 9.09 .11 1.19 .05 .67 .34 116.87 .27 90.01 .27 64.34 .25 41.41 .21 22.59 .17 8.98 .10 1.44 .04 .66 .35 116.60 .27 89.74 .27 64.09 .24 41.20 .21 22. 12 .16 8.88 .11 1.40 .05 .05 .36 llfi.33 .27 89.41 .26 63.85 .25 40.99 .21 22.2 0 .16 8.77 .10 1.85 .01 .64 .37 116.06 .27 89.21 .27 63.60 .24 40.78 .21 22.10 .17 8.67 .11 1.31 .01 .68 .:{> 115.79 .27 88.94 .26 63.86 .25 40.57 .21 21.93 .16 8.56 .10 1.27 .01 .62 IB 115.52 .27 88.68 .27 68.11 .24 40.36 .21 21.77 .16 8.46 .10 1.28 .01 .61 .40 1 1: -,.-.-.-, .27 88.41 .26 62.87 .24 40.15 .21 21.61 .16 8.86 .10 l.i'i .01 .60 .41 114.96 .27 88.15 .27 62.63 .25 .'»!».!) 1 .21 21.45 .16 8.26 .10 1.15 .01 .59 .42 114.71 .27 87.88 .26 62.88 .21 89.78 .21 21.29 .16 N.IO .10 l.ll .01 .5s .l:i III. II .27 87.63 .27 02. 1 » .21 89.52 .20 21.13 .16 8.00 .10 1.07 .04 .57 .11 111.17 .27 87.35 £6 61.90 34 89.83 .21 20.97 .Hi 7.96 .10 1.03 .03 .56 .45 113.90 .27 87.09 .26 61.66 .25 39.11 .21 20.81 .15 7.86 .10 1.00 .01 .55 .46 113.68 37 86.83 .27 (11.11 .21 3S.'I<> .20 20.66 .16 7.76 .10 0.96 .03 .54 .47 113.36 .27 86 :>'i .2(i 61.17 .24 38.70 .21 20.50 .16 7.00 .10 0.98 .01 ,58 .48 113.09 .27 sii.30 .20 60.93 .21 ::vl9 .20 20.3 I .15 7.56 .10 0.89 .03 .52 48 [12.88 .27 86.0 1 .27 60.69 .24 88.29 .20 20.19 .16 7.10 .10 0.86 .03 .51 ..->() 112.55 .27 85.77 .26 60.45 34 38.09 .20 20.0:( .15 7.36 .10 o.s:t .03 .50 1!> 18 17 16 1.1 14 13 Days. 166 TABLE XV. ARGUMENT 10. Equation = 110".0 [1 — sin. (* + «)]. Period, 25.621696 days. Days. 6 7 ^^ 8 9 IO 11 13 Days. Decimal.- <>l" a Day. Equation. our. Equation. Diff. Equation. Diff Equation. Diff. Equation. . Diff. Equation. Diff. Equation. n iff : V. Mil. if ;i Ifitv .50 1 12.55 .27 85.77 .26 60.45 .24 38.09 .20 20.03 .15 7.36 .10 0.83 .03 .50 .51 112.28 .27 85.51 .26 60.21 .24 37.89 .21 19.88 .15 7.26 .10 0.80 .03 .49 .52 112.01 .27 85.25 .27 59.97 .24 37.68 .20 19.73 ,16 7.16 .09 0.77 .03 .48 .53 111.74 .27 84.98 .26 59.73 .24 37.48 .20 19.57 ,15 7,07 .10 0.74 .03 .47 .54 111.47 .27 84.72 .26 59.49 .24 37.28 .20 19.42 .15 6.97 .09 0.71 .03 .46 .55 111.20 .27 84.46 .26 59.25 .23 37.08 .20 19.27 .16 6.88 .10 0.68 .03 .45 .56 110.93 .27 84.20 .27 59.02 .24 36.88 .21 19.11 .15 6.78 .09 0.65 .03 .44 .57 110.66 .27 83.93 .26 58.78 .24 36.67 .20 18.96 .15 6.69 .09 0.62 .03 .43 .58 1 10.39 .27 83.67 .26 58.54 .24 36.47 .20 18.81 .15 6.60 .09 0.59 .03 .42 .59 110.12 .27 83.41 .26 58.30 .24 36.27 .20 ' 18.66 .15 6.51 .09 0.56 .03 .41 .60 109.85 .27 83.15 .26 58.06 .24 36.07 .20 18.51 .15 6.42 .09 0.53 .03 .40 .61 109.58 .27 82.89 .26 57.82 .23 35.87 .20 18.36 .15 6.33 .09 0.50 .02 .39 .62 109.31 .27 82.63 .26 57.59 .24 35.67 .20 18.21 .15 6.24 .09 0.48 .03 .38 .63 109.04 .27 82.37 .26 57.35 .24 35.47 .20 18.06 .11 6.15 .09 0.45 .02 .37 .64 108.77 .27 82.11 .26 57.11 .23 35.27 .20 17.92 .15 6.06 .09 0.43 .03 .36 .65 108.50 .27 81.85 .26 56.88 .24 35.07 .19 17.77 .15 5.97 .09 0.40 .02 .35 .66 108.23 .27 81.59 .26 56.64 .24 34.88 .20 17.62 .14 5.88 .08 0.38 .02 .34 .67 107.96 .27 81.33 .26 56.40 .23 34.68 .20 17.48 .15 5.80 .09 0.36 .02 .33 .68 107.69 .27 81.07 .26 56.17 .24 34,18 .20 17. :« .14 5.71 .08 0.34 .02 -.32 .69 107.42 .27 80.81 .26 55.93 .23 34.28 .19 17.19 .15 5.63 .09 0.32 .02 .31 .70 107.15 .27 80.55 .26 55.70 .23 34.09 .19 17.01 .14 5.54 .08 0.30 .02 .30 .71 106.88 .27 80.29 .26 55.17 .24 33.90 .20 16.90 .14 5.46 .08 0.28 .02 .29 .72 106.61 .27 80.03 .26 55.23 .23 33.70 .19 16.76 .15 5.38 .09 0.26 .02 .28 .73 106.31 .27 79.77 .26 55.00 .23 33.5J .19 16.61 .14 5.29 .08 0.24 .02 .27 .74 106.07 .27 79.51 .26 54.77 .24 33.32 .20 16.47 .14 5.21 .08 0.22 .02 .26 .75 105.80 .26 79.25 .26 54.53 .23 33.12 .19 16.33 .14 5.13 .08 0.20 .01 , .25 .76 105.51 .27 78.99 .25 51.30 .25 32.93 .!!> 16.19 .13 5 05 .OS 019 .O'J .24 .77 105.27 .27 78.74 .26 54.07 .24 32.74 .20 16.04 .14 4.97 .08 0.17 .01 .23 .78 105.00 .27 78.48 .26 53.83 .23 32.54 .19 15.90 .14 4.89 .08 0.16 .02 .22 .79 104.73 .27 78.22 .26 53.60 .23 32.35 .19 15.7R .14 4.81 .08 0.14 .01 .21 .80 104.46 .27 77.96 .26 53.37 .23 32.16 .19 15.62 .14 4.73 .08 0.13 .01 .20 .81 104.19 .27 77.70 .26 53.14 .23 31.97 .19 15.4S .14 4.65 .08 0.12 .01 .19 .82 103.92 .27 77.41 .2.} 52.1)1 .23 31.78 .19 15..3 1 .13 4. .57 .(M 0.11 .01 .18 .83 103.65 .27 77.19 .26 52.68 .23 31.59 .19 15.21 .14 4.49 .07 0.10 .01 .17 .84 103.38 .27 76.93 .26 52.45 .23 31.40 .18 15.07 .14 4.42 .08 0.09 .01 .16 .85 103.11 .27 7667 .25 52.22 .23 31.22 .19 14.93 .13 4.34 .07 0.08 .01 .15 .86 102.81 .26 76.42 .26 51.99 .23 31.03 .19 14.80 .14 4.27 .08 0.07 .01 .14 .87 102.58 .27 76.16 .26 51.76 .23 30.84 .19 14.66 .13 4.19 .07 0.06 .01 .13 .88 102.31 .27 75.90 .25 51.53 .23 30.65 .18 14.53 .14 4.12 .07 0.05 .01 .12 .89 102.04 .27 75.65 .26 51.30 .23 30.47 .19 14.39 .13 4.05 .07 0.04 .01 .11 .90 101.77 .27 75.39 .25 51.07 .23 30.28 .18 14.26 .13 3.98 .07 0.03 .01 .10 .91 101.50 .27 75.14 .26 50.84 .23 30.10 .19 14.13 .13 3.91 .07 0.02 .00 .09 .92 101.23 .27 74.88 .25 50.61 .22 29.91 .18 14.00 .13 3.84 .07 0.02 .01 .08 .93 100.96 .27 74.63 .26 50.39 .23 29.73 .18 13.87 .13 3.77 .07 0.01 .00 .07 .94 100.69 .27 74.37 .25 50.16 .23 29.55 .19 13.74 .13 3.70 .07 0.01 .01 .06 .95 100.42 .27 74.12 .26 49.93 .22 29.36 .18 13.61 .13 3.63 .07 0.00 .00 .05 .96 100.15 .26 73.86 .25 49.71 .23 29.18 .18 13.48 .13 3.56 .07 0.00 .00 .04 .97 99.89 .27 73.61 .26 49.48 .22 29.00 .19 13.35 .13 3.49 .07 0.00 .00 .03 .98 99.62 .27 73.35 .25 49.26 .23 28.81 .18 13.22 .12 3.42 .06 0.00 .00 .02 .99 99.35 .27 73.10 .26 49.03 .22 28.63 .18 13.10 .13 3.36 .07 0.00 .00 .01 1.00 99.08 .27 72.84 .25 48.81 .22 28.45 .18 12.97 .13 3.29 .06 0.00 .00 .00 Days. 19 18 17 16 IS 14 13 Days. 167 TABLE XVI. ARGUMENT 11. Equation = 85".0 [1 — sin. (2y — *)]. Period, 26.878290 days. Days. O 1 2 3 4 S 6 r 8 9 Days. Days. .00 169.30 169.56 16524 156.55 143.97 128.18 110.07 90.57 70.76 51.74 Day*. 1.00 .01 169.32 169.51 165.17 156.44 143.83 198.01 109.88 90.87 70.56 51.56 .99 .02 169.35 169.52 165.10 156.33 143.68 127.84 109.69 90.17 70.37 ' 51.38 .98 .03 169.37 169.50 165.03 156.22 143.54 127.67 109.49 89.98 70.17 51.20 .97 .04 169.10 169.48 164.96 156.11 143.39 127.50 109.30 89.78 69.98 51.02 .96 .05 169.42 169.46 164.89 156.00 143.25 127.33 109.11 89.58 69.78 50.84 .95 .06 169.44 169.44 164.82 155.89 143.10 127.16 108.92 89.38 69.59 50.66 .94 .07 169.46 169.41 161.76 155.78 142.96 126.99 108.73 89.18 69.39 50.48 .93 .08 169.48 169.39 161.6!) 155.67 142.81 126.81 108.53 88.99 69.20 50.29 .92 .09 169.50 169.36 164.62 155.56 142.67 126.64 108.34 88.79 69.00 50.11 .91 .10 169.52 169.33 161.55 155.45 142.52 126.47 108.15 88.59 68.81 49.93 .90 .11 169.54 169.31 164.48 155.34 142.37 126.30 107.96 88.39 6N.61 49.75 .89 .12 169.56 169.28 161.11 155.23 142.23 126.12 107.77 88.19 (is. 12 49.57 .86 .18 169.58 169.26 164.34 155.11 142.08 125.95 107.58 88.00 68.22 49.38 .87 .14 169.60 169.23 164.27 155.00 141.93 125.77 107.39 87.80 68.03 49.20 .86 .15 169.62 169.21 164.20 154.89 141.78 125.60 107.20 87.60 67.83 49.02 .85 .16 169.64 169.18 164.13 154.78 141.63 125.43 107.01 87.40 67.64 48.84 .84 .17 169.66 169.15 164.05 154.66 141.48 18555 106.82 87.20 67,44 48.66 .83 .18 189.67 169.12 163.98 151.55 141.33 125.08 106.62 87.00 67.25 48.48 .82 .19 169.69 169.09 163.90 154.43 141.18 184.90 106.43 86.80 67.05 48.30 .81 .20 169.70 169.06 163.83 154.32 141.03 184.78 106.24 86.60 66.86 48.12 .80 .21 169.72 169.03 163.76 154.20 140.88 124.55 106.05 86.40 66.67 47.94 .79 .22 169.73 169.00 163.68 154.09 140.73 rS4.88 105.86 86.20 66,48 47.76 .78 .23 169.75 168.97 163.61 153.97 1 10.5s 121.20 105.6h 86.00 66.28 47.59 .77 .24 169.76 168.94 163.53 153.86 140.4* 121.03 105.47 85.80 66.09 47.41 .76 .25 169.78 168.91 163,46 153.74 140.28 123.85 105.28 85.60 65.9( 47.23 .75 .26 169.79 168.87 163.38 153.62 140.13 123.67 105.09 85.40 65.71 47.05 .74 .27 169.81 168.84 163.31 153.50 139.98 123.49 101.90 85.20 65.51 46.87 .73 .28 169.82 168.80 163.23 153.39 139.82 123.32 104.70 85.01 65.32 46.70 .72 .29 169.83 168.77 163.15 153.27 139.67 123.14 104.51 84.81 65.12 46.52 .71 .30 169.84 168.73 163.07 153.15 139.52 122.96 104.32 84.61 64.93 46.34 .70 .31 169.85 168.70 162.99 153.08 139.37 122.78 104.13 84.41 64.74 46.16 .69 .32 169.86 168.66 162.91 152.91 139.22 122.60 103.93 84.21 6 1.5: 45.99 .68 .:{:( 169.87 168.63 162.82 152.79 139.06 122.43 103.74 84.01 64.38 15.81 .67 .31 169.88 168.59 162.71 152.67 138.91 122.25 103.51 83.82 64.16 45.61 .66 .35 169.89 168.56 162.66 152.55 138.76 122.07 103.35 83.62 63.97 45,46 .65 .36 169.90 168.52 162.58 152.43 138.60 121.89 103.15 83. 12 68.78 45.28 .64 .37 169.91 168. is 162.50 153.81 138.15 121.71 102.96 83.22 63.59 15.11 .63 .38 169.92 168.11 162.42 152.18 138.29 121.53 102.76 83.02 63.39 1 1.93 .62 M 169.93 168.40 162.31 158.06 138.14 121.35 102.57 82.82 63.20 11.76 .61 .40 169.94 168.36 162.26 151.94 137.99 121.17 [02.87 82.62 63.01 4468 .60 .41 |ii!i.!i:> 168.32 162.18 191.82 137.83 120.99 102.18 82. 12 62.81 ll.ll .5!) .12 169.96 Mis.-.-, 188.09 151.70 187.68 [20.81 101.98 82.23 62.68 44.24 .58 .43 Kill. 117 168.21 162.01 151.57 187:53 120.63 101.79 82.03 62. 1 1 II. (17 .57 .11 169.91 168.20 181.92 151.46 tOT:87 180.48 101.59 81.83 62.28 43.89 .56 .45 169.98 [68.16 161.84 1.--1 :!:! 137.21 120.27 101.10 81.63 62.06 43.72 .55 .46 169.98 His. 12 161.75 151.20 137.05 reo.09 101. 20 81.48 61.87 48:56 .51 .17 169.9s I6s.0s 161.67 151. ON 13i;.!i() 11!).!)! 101.01 81.23 61.68 13.37 .53 .1- Kiii.ii!) iiis.oi 161.5s 150.95 136.7 • 119.73 100.81 81.01 61.48 43.20 .52 .1!) Hill. 99 167.!)!) 1H !.:•() i:,o,s:j I:K;..-,!I ii«).r, i 100.6-,' 80.81 61.29 13.02 .51 .:.(» Hi!).!)!) 167.!).') 161.11 ir,o.7o 136.13 119. 36 100.12 80.64 61.10 42.85 .50 i ' . -. 27 so r, 9* •29 22 21 2O 19 18 Days. 168 TABLE XVI. ARGUMENT 11. Equation = 85".0 [1 — sin. (2y — *)]. Period, 26.878290 days. Days. O 1 2 3 4 S 6 7 8 9 Days. Days. .50 169.99 167.95 161.41 150.70 136.43 119.36 100.42 80.64 61.10 42'!85 Days, .50 .51 169.99 167.90 161.32 150.57 136.27 119.18 100.2i. 80.44 60.91 42.68 .49 .52 170.00 167.86 161.25 150.44 136.11 119.00 100.02 80.24 60.72 42.51 .48 .53 170.00 167.81 161.16 150.32 135.96 118.81 99.83 80.05 60.53 42.33 .47 .54 170.00 167.77 161.07 150.19 135.80 118.63 99.63 79.85 60.34 42.16 .46 .55 170.00 167.72 160.98 150.06 135.64 118.45 99.43 79.65 60.15 41.99 .45 .56 170.00 167.68 160.89 149.93 135.48 118.27 99.24 79.45 59.96 41.82 .44 .57 170.00 167.63 160.80 149.80 135.32 118.09 99.04 79.25 59.77 41.65 .43 .58 170.00 167.59 160.71 149.68 135.15 117.90 98.84 79.06 59.58 41.48 .42 .59 170.00 1-67.54 160.61 149.55 134.99 117.72 98.65 78.86 59.39 41.31 .41 .60 169.99 167.49 160.52 149.42 134.83 117.54 98.45 78.66 59.20 41.14 .40 .61 169.99 167.44 160.43 149.29 134.67 117.36 98.25 78.46 59.01 40.97 .39 .62 169.99 167.39 160.34 149.16 134.51 117.17 98.06 78.26 58.83 40.80 .38 .63 169.99 167.34 160.25 149.03 134.34 116.99 97.86 78.06 58.63 40.63 .37 .64 169.98 167.29 160.16 148.90 134.18 116.80 97.67 77.87 58.44 40.46 .36 .65 169.98 167.24 160.07 148.77 134.02 116.62 97.47 77.67 58.25 40.29 .35 .66 169.97 167.19 159.97 148.64 133.86 116.44 97.27 77.47 58.06 40.12 .34 .67 169.97 167.14 159.88 148.51 133.69 116.25 97.08 77.27 57.87 39.95 .33 .68 169.96 167.09 159.78 148.37 133.53 116.07 96.88 77.07 57.69 39.79 .32 .69 169.96 167.04 159.69 148.24 133.36 115.88 96.69 76.87 57.50 39.62 .31 .70 169.95 166.99 159.59 148.11 133.20 115.70 96.49 76.67 57.31 39.45 .30 .71 169.94 166.94 159.49 147.98 133.04 115.51 96.29 76.47 57.12 39.28 .29 .72 169.94 166.89 159.39 147.84 132.87 115.33 96.10 76.28 56.93 39.12 .28 .73 169.93 166.84 159.30 147.71 132.71 115.14 95.90 76.08 56.75 38.95 .27 .74 169.92 166.79 159.20 147.57 132.54 114.96 95.71 75.88 56.56 38.79 .26 .75 169.91 166.74 159.10 147.44 132.38 114.77 95.50 75.68 56.37 38.62 .25 .76 169.90 166.68 159.00 147.31 132.21 114.58 95.31 75.49 56.18 38.45 .24 .77 169.89 166.63 158.90 147.17 132.05 114.40 95.12 75.29 55.99 38.29 .23 .78 169.88 166.57 158.81 147.01 131.88 •114.21 94.92 75.09 55.81 38.12 .22 .79 169.87 166.51 158.71 146.90 131.72 114.03 94.73 74.89 55.62 37.96 .21 .80 169.86 166.46 158.61 146.77 131.55 113.84 94.53 74.70 55.43 37.79 .20 .81 169.85 166.40 158.51 146.63 131.38 113.65 94.33 74.50 55.24 37.62 .19 .82 169.84 166.34 158.41 146.49 131.21 113.46 94.13 74.30 55.06 37.46 .18 .83 169.83 166.28 158.31 146.36 131.05 113.28- 93.94 74.11 54.87 37.29 .17 .84 169.82 166.23 158.21 146.22 130.88 113.09 93.74 73.91 54.69 37.13 .16 .85 169.81 166.17 158.11 146.08 130.71 112.90 93.54 73.71 54.50 36.96 .15 .86 169.80 166.11 158.01 145.94 130.54 112.71 93.34 73.51 54.32 36.80 .14 .87 169.78 166.05 157.90 145.80 130.37 112.52 93.14 73.31 54.13 36.63 .13 .88 169.76 165.99 157.80 145.66 130.21 112.34 92.95 73.12 53.95 36.47 .12 .89 169.75 165.93 157.69 145.52 130.04 112.15 92.75 72.92 53.76 36.30 .11 .90 169.73 165.87 157.59 145.38 129.87 111.96 92.55 72.72 53.58 36.14 .10 .91 169.72 165.81 • 157.48 145.24 129.70 111.77 92.35 72.52 53.40 35.98 .09 .92 169.70 165.75 157.38 145.10 129.53 111.58 92.15 72.33 53.21 35.82 .08 .93 Ifi9.fi!) 165.69 157.27 144.96 129.37 111.40 91.96 72.13 53.03 35.65 .07 .94 169.67 165.63 157.17 144.82 129.20 111.21 91.76 71.93 52.84 35.49 .06 .95 169.66 165.57 157.06 144.68 129.03 111.02 91.56 71.74 52.66 35.33 .05 .96 169.64 165.51 156.96 144.54 128.86 110.83 91.36 71.54 52.48 35.17 .04 .97 169.62 165.41 156.86 144.40 128.69 110.64 91.16 71.35 52.29 35.01 .03 .98 169.60 165.37 156.75 144.25 128.52 110.45 90.97 71.15 52.11 34.84 .02 . .99 169.58 165.31 156.65 144.11 128.35 110.26 90.77 70.95 51.92 34.68 .01 1.00 169.56 165.24 156.55 143.97 128.18 110.07 90.57 70.76 51.74 34.52 .00 Days. 27 26 23 24 23 22 21 2O 19 18 Days. 169 TABLE XVI. (Continued). Period, 26.878290 days. TA3LE XVII. ARG. 1 2 . Equation = 58".7 [1 — sin. (2y — 2*)]. Period, 173.31006 days. Days. 1O 11 1« 13 Days. Days. O 10 2O 30 4O Days. Days. .00 34.52 20.06 9.11 2.33 Days. 1.00 iiii.iK 0.0 0.41 1.71 10.38 25.33 44.63 Hays. 10.0 .01 34.36 19.93 9.02 2.28 .99 0.1 0.39 1.76 10.50 25.51 44.84 9.9 .02 34.20 19.81 8.93 2.24 .98 0.2 0.37 1.81 10.62 25.69 45.05 9.8 .03 34.05 19.68 8.85 2.19 .97 0.3 0.35 1.87 10.74 25.86 45.25 9.7 .04 33.89 19.56 8.76 2.15 .96 0.4 0.33 1.92 10.87 26.04 45.46 9.6 .05 33.73 19.43 8.67 2.10 .95 0.5 0.31 1.97 10.99 26.22 45.67 9.5 .06 33.57 19.30 8.59 2.06 .94 0.6 0.29 2.03 11.12 26.40 45.88 9.4 .07 33.41 19.18 8.50 2.01 .93 0.7 0.27 2.08 11.24 26.58 4609 9.3 .08 33.26 19.05 8.42 1.97 .92 0.8 0.25 2.14 11.37 26.76 46.30 9.2 .09 33.10 1893 8.33 1.93 .91 0.9 0.23 2.19 11.49 26.94 46.51 9.1 .10 32.94 18.80 8.25 1.89 .90 1.0 0.21 2.25 11.62 27.12 46.72 9.0 .11 32.78 18.68 8.17 1.85 .89 1.1 0.19 2.31 11.75 27.30 46.93 8.9 .12 32.63 18.56 8.08 1.81 .88 1.2 0.17 2.37 11.87 27.48 47.14 8.8 .13 32.47 18.43 8.00 1.77 .87 1.3 0.16 2.43 12.00 27.66 47.34 8.7 .14 32.32 18.31 7.91 1.73 .86 1.4 0.14 2.49 12.13 27.84 47.55 8.6 .15 32.16 18.19 7.83 1.69 .85 1.5 0.13 2.55 12.26 28.02 47.76 8.5 .16 32.01 18.07 7.75 1.65 .84 1.6 0.12 2.61 12.39 28.20 47.97 8.4 .17 31.85 17.95 7.67 1.60 .83 1.7 0.10 2.68 12.52 28.38 48.18 8.3 .18 31.70 17.82 7.58 1.56 .82 1.8 0.09 2.74 12.65 28.56 ..T7 0.63 M 4.7 0.09 4.90 16.73 34.02 54.50 5.3 .48 27.19 11 .:u :>.:«» 0.60 M 4.8 0.10 4.98 16.88 34.21 54.71 5.2 .49 27.05 14.22 5.23 0.58 .51 4.9 0.11 5.07 17.03 34.41 5i.<)3 5.1 .50 26.90 14.11 5.16 0.56 .50 5.0 0.12 5. Hi 17.18 :u.(i() 55.14 5.0 Days. IT 16 ts 14 Days. Days. 17O 160 1.10 110 13O Days. Norm. — Arg. 12' . 17C : Are. 12. XVI. (Continued.) Period, 26.878290 days. TABLE XVII. A Equation = 58".7 [1 — sin. (2y — 2/)]. Period, 173.31006 days. Days. 1O 11 12 1 3 Days. Days. O 1O 9O 30 4O Days. L):ivs. (/ „ H Days. Pavs H 1, H Days. .50 26.90 14.11 5.16 0.56 .50 5.0 0.12 5.16 17.18 34.60 55.14 5.0 .51 26.76 14.00 5.09 0.54 .49 5.1 0.13 5.25 17.33 34.8( 55.35 4.9 .52 26.61 13.89 5.02 0.52 .48 5.2 0.14 5.33 17.48 34.99 55.56 4.8 .53 26.47 13.78 4.96 0.50 .47 5.3 0.16 5.42 17.63 35.19 55.77 4.7 .54 26.32 13.67 4.89 0.48 .46 5.4 0.17 5.5 17.79 35.38 55.99 4.6 .55 26.18 13.56 4.82 0.46 .45 5.5 0.19 5.60 17.94 35.58 56.20 4.5 .56 26.04 13.45 4.76 0.44 .44 5.6 0.21 5.69 18.09 35.78 56.41 4.4 .57 25.89 13.35 4.69 0.42 .43 5.7 0.23 5.79 18.25 35.97 56.63 4.3 .58 25.75 13.24 4.63 0.40 .42 5.8 0.25 5.88 18.40 36.17 56.84 4.2 .59 25.60 13.14 4.56 0.38 .41 5.9 0.27 5.98 18.56 36.36 57.06 4.1 .60 25.46 13.03 4.50 0.36 .40 6.0 0.29 6.07 18.71 36.56 57.27 4.0 .61 25.32 12.93 4.44 0.34 .39 6.1 0.31 6.17 18.86 36.76 57.48 3.9 .62 25.18 12.82 4.38 0.32 .38 6.2 0.33 6.26 19.02 36.95 57.69 3.8 .63 25.03 12.72 4.31 0.31 .37 6.3 0.35 6.36 19.17 37.15 57.91 3.7 .64 24.89 12.61 4.25 0.29 .36 6.4 0.38 6.45 19.33 37.34 58.12 3.6 .65 24.75 12.51 4.19 0.28 .35 6.5 0.40 6.55 19.49 37.54 58.33 3.5 .66 24.61 12.41 4.13 0.26 .34 6.6 0.42 6.65 19.65 37.74 58.54 3.4 .67 24.47 12.30 4.07 0.25 .33 6.7 0.44 6.75 19.81 37.93 58.76 3.3 .68 24.34 12.20 4.01 0.23 .32 6.8 0.47 6.85 19.97 38.13 58.97 3.2 .69 24.20 12.09 3.95 0.22 .31 6.9 0.49 6.95 20.13 38.33 59.19 3.1 .70 24.06 11.99 3.89 0.21 .30 7.0 0.52 7.05 20.29 38.53 59.40 3.0 .71 23.92 11.89 3.83 0.20 .29 7.1 0.55 7.15 20.45 38.73 59.61 2.9 .72 23.78 11.79 3.77 0.18 .28 7.2 0.58 7.26 20.61 38.93 59.82 2.8 .73 23.65 11.69 3.72 0.17 .27 7.3 0.61 7.36 20.77 39.13 60.04 2.7 .74 23.51 11.59 3.66 0.16 .26 7.4 0.64 7.47 20.94 39.34 60.25 2.6 .75 23.37 1149 3.60 0.15 .25 7.5 0.67 7.57 21.10 39.54 60.46 2.5 .76 23.23 11.39 3.54 0.14 .24 7.6 0.70 7.68 21.26 39.74 60.67 2.4 .77 23.10 11.29 3.49 0.13 .23 7.7 0.73 7.78 21.43 39.94 60.88 2.3 .78 22.96 11.20 3.43 0.12 .22 7.8 0.77 7.89 21.59 40.14 61.10 2.2 .79 22.83 11.10 3.38 0.11 .21 7.9 0.80 7.99 21.76 40.85 61.31 2.1 .80 22.69 11.00 3.32 0.10 .20 8.0 0.84 8.10 21.93 40.55 61.52 2.0 .81 22.56 10.90 3.27 0.09 .19 8.1 0.88 8.21 22.10 40.75 61.73 1.9 .82 22.42 10.80 3.21 0.08 .18 8.2 0.92 8.31 22.26 40.95 61.94 1.8 .83 22.29 10.71 3.16 0.07 .17 8.3 0.96 8.42 22.43 41.15 62.16 1.7 .84 22.15 10.61 3.10 0.06 .16 8.4 1.00 8.53 22.60 41.36 62.37 1.6 .85 22.02 10.51 3.05 0.05 .15 8.5 1.04 8.64 22.77 41.56 62.58 1.5 .86 21.89 10.41 3.00 0.04 .14 8.6 1.08 8.75 22.94 41.76 62.79 1.4 .87 21.76 10.32 2.95 0.04 .13 8.7 1.12 8.86 23.10 41.97 63.00 1.3 .88 21.62 10.22 2.90 0.03 .12 8.8 1.17 8.97 23.2-7 • 42.17 63.22 1.2 .89 21.49 10.13 2.85 0.03 .11 8.9 1.21 9.09 23.44 42.38 63.43 1.1 .90 21.36 10.03 2.80 0.03 .10 9.0 1.25 9.20 23.61 42.58 63.64 1.0 .91 21.23 9.94 • 2.75 0.02 .09 9.1 1.29 9.32 23.78 42.78 63.85 0.9 .92 21.10 9.85 2.70 0.02 .08 9.2 1.33 9.43 23.95 42.99 64.06 0.8 .93 20.97 9.75 2.66 0.01 .07 9.3 1.38 9.55 24.12 43.19 64.28 0.7 .94 20.84 9.66 2.61 0.01 .06 9.4 1.42 9.66 24.29 43.40 64.49 0.6 .95 20.71 9.57 2.56 0.01 .05 9.5 1.46 9.78 24.46 43.60 64.70 0.5 .96 20.58 9.48 2.51 0.00 .04 9.6 1.51 9.90 24.63 43.81 64.91 0.4 .97 20.45 9.39 2.47 0.00 .03 9.7 1.56 10.02 24.81 44.01 65.12 0.3 .98 20.32 9.29 2.42 0.00 .02 9.8 1.61 10.14 24.98 44.22 65.34 0.2 .99 20.19 9.20 2.38 0.00 .01 9.9 1.66 10.26 25.16 44.42 65.55 0.1 1.00 20.06 9.11 2.33 0.00 .00 10.0 1.71 10.38 25.33 44.63 65.76 0.0 Days. 17 16 15 14 Days. Days. 17O 160 BT.O 14O 13O Days. NOTE. — Arg. 12' 171 = Arg. 12. TABLE XVII. (Continued). Period, 173.31006 days. TABLE XVIII. ARG. 13. Equation = 38".0 [1 + sin. (4«— *)]. Period, 10.084597 days. Days 30 OO 70 8O 1 )ays. Days . 0 1 2 8 4 5 r 'ays. Days. 0.0 65.76 85.98 102.63 113.58 Days. io.b Days. .00 6.57 6.02 7.74 26.82 50.13 68.86 Davs 1.00 0.1 65.97 86.17 102.77 113.65 9.9 .01 6.44 0.03 7.89 27.05 50.35 69.00 .99 0.2 66.18 86.36 102.91 1 13.73 9.8 .02 6.31 0.04 8.03 27.27 50.58 69.13 .98 0.3 66.39 86.55 103.05 113.80 9.7 .03 6.18 0.05 8.18 27.50 50.80 69.27 .97 0.4 66.61 86.73 103.18 '113.88 9.6 .04 6.05 0.06 8.32 27.73 51.02 69.40 .96 0.5 66.82 86.92 103.32 113.95 9.5 .05 5.92 0.07 8.47 27.96 51.24 69.54 .95 0.6 67.03 87.11 103.46 114.02 9.4 .06 5.79 0.09 8.62 28.19 51.46 69.67 .94 0.7 67.24 87.29 103.59 114.09 9.3 .07 5.67 0.10 8.77 28.42 51.68 69.80 .93 0.8 67.45 87.48 103.73 114.16 9.2 .08 5.54 0.12 8.92 28.65 51.90 69.93 .92 0.9 67.66 87.66 103.86 1 14.23 9.1 .09 5.42 0.13 9.08 28.88 52.12 70.05 .91 1.0 67.87 87.85 104.00 114.30 9.0 .10 5.30 0.15 9.23 29.11 52.34 70.18 .90 1.1 68.08 88.03 104.13 114.37 8.9 .11 5.18 0.17 9.39 29.34 52.56 70.30 .89 .2 68.29 88.22 104.27 114.43 8.8 .12 5.06 0.20 9.54 29.57 52.78 70.43 .88 .3 68.50 88.40 104.40 114.50 8.7 .13 4.94 0.22 9.70 29.80 53.00 70.55 .87 .4 68.71 88.59 104.54 114.56 8.6 .14 4.83 0.25 9.86 30.04 53.21 70.67 .86 .5 68.92 88.77 104.67 114.63 8.5 .15 4.71 0.27 10.02 30.27 53.43 70.79 .85 .6 69.13 88.95 104.80 114.69 8.4 .16 4.60 0.30 10.18 30.50 53.6 t 70.91 .84 .7 69.34 89.14 104.94 114.76 8.3 .17 4.49 0.33 10.34 30.73 53.86 71.02 .83 1.8 69.55 89.32 105.07 114.82 8.2 .18 4.38 0.36 10.50 30.96 51.07 71.11 .82 1.9 69.76 89.50 105.20 114.88 8.1 .19 4.27 0.40 10.67 31.20 51.29 Tl'26 .81 2.0 69.97 89.68 105.33 114.94 8.0 .20 4.16 0.43 10.83 31.43 54.50 71.37 .80 2.1 70.18 89.86 105.46 115.00 7.9 .21 4.06 0.47 11.00 31.66 54.71 71.48 .79 2.2 70.3'J 90.04 105.59 115.06 7.8 .22 3.95 0.51 11.17 31.90 54.93 71.5!) .78 2.3 70.60 90.22 105.72 115.12 7.7 .23 3.85 0.55 11.33 32.13 55.14 71.70 .77 2.4 70.80 90.39 105.84 115.17 7.6 .24 3.74 0.59 11.50 32.37 55.35 71.81 .76 2.5 71.01 90.57 105.97 115.23 7.5 .25 3.64 0.63 11.67 32.60 55.56 71.92 .75 2.6 71.22 90.75 106.10 115.29 7.4 .26 3.54 0.68 11.84 32.83 55.77 72.02 .74 2.7 71.43 90.92 106.22 115.34 7.3 .27 3.44 0.72 12.01 33.07 55.98 72.13 .73 2.8 71.64 91.10 106.35 115.40 7.2 .28 3.34 0.77 12.18 33.30 56.19 72.23 .72 2.9 71.84 91.27 106.47 115.45 7.1 .29 3.25 0.81 12.36 33.54 56.40 72.34 .71 3.0 72.05 91.45 106.60 115.51 7.0 .30 3.15 0.86 12.53 83.77 56.61 72.44 .70 3.1 72.26 91.62 106.72 115.56 6.9 .31 3.06 0.91 12.71 34.01 56.81 72.54 .69 3.2 72.46 91.80 106.84 115.62 6.8 .32 2.96 0.97 12.88 34.24 57.02 72.64 .68 3.3 72.67 91.97 106.96 115.67 6.7 .33 2.87 1.02 13.06 34.48 57.22 72.74 .67 3.4 72.87 92.15 107.08 115.72 6.6 .34 2.78 1.08 13.24 34.71 57.43 72.83 .66 3.5 73.08 92.32 107.20 115.77 6.5 .35 2.69 1.13 13.42 34.95 57.63 72.93 .65 3.6 73.29 92.49 107.32 115.82 6.4 .36 2.61 1.19 13.60 35.19 57.83 73.02 .64 3.7 7:s,i!i 92.67 107.44 116.67 6.3 .37 2.52 1.25 13.78 35.42 58.03 73.11 .63 3.8 73.70 92.84 107.56 115.92 6.2 .38 2.44 1.31 13.96 :j.r>.(i( 58.23 73.20 .62 3.9 73.90 93.01 107.67 115.96 6.1 .39 2.35 1.37 14.15 :!5.8 .61 4.0 74.11 93.18 107.79 116.01 6.0 .40 2.27 1.41 14.33 36.13 58.63 7:i.:is .60 4.1 74.31 9BM 107.91 116.05 5.9 .41 2.19 1.50 14.52 36.37 :>ss: 78.46 .50 4.2 74.52 93.53 108.02 116.10 5.8 .42 2.11 1.56 14.70 36.61 59.03 7:<.:>;> .58 4.3 74.72 93.70 108.14 116.14 5.7 .t:i 2.03 1.63 1 l>!) 36.N4 59.23 7:Ui:t .57 4.4 74.93 !)3>7 108.25 116.19 5.6 .44 1.96 1.70 15.08 37.08 :.:). i- 73.71 .56 4.5 75.13 94.04 108J1 116.23 5.5 .45 .88 1.77 15.27 37.3:. 59.62 73.7!) .65 4.6 75.33 94.21 108.48 116.27 5.4 .46 .81 1.84 15.46 37. 5« 59.81 73.87 .54 4.7 75.54 !M.:(s 108.60 116.31 5.3 .47 .74 1.92 15.65 37.79 60.00 78.94 .53 4.8 75.74 94.55 108.71 116.35 5.2 .48 .67 1.99 15.84 38.03 60.2( 74.02 .52 4.9 75.95 94.72 108.82 116.39 5.1 .49 .60 2.07 16.04 :tN.26 60.3! 74.09 .51 5.0 76.15 94.89 108.93 116.43 5.0 .50 .53 2.15 Hi. 23 38.51 60.5s 74.17 .50 Dayi >. 190 110 100 9O Days. Day 9. 11 1O 1) 8 7 6 Days. 172 TABLE XVII. (Continued.) Period, 173.31006 days. TABLE XVIII. ARG. 13. Equation^ 38".0 [1+sin. (it — a;)]. Period, 10.084597 days. • Days. 5O 6O 7O SO Days. Days. O 1 2 3 4 5 Days. Hays. 5.0 76.15 94.89 108.93 116.43 Davs. 5.6 Davs .50 1.53 2.15 16.23 38.50 60.58 74^17 Days .50 5.1 76.35 95.06 109.04 116.47 4.9 .51 1.47 2.23 16.43 38.74 60.77 74.24 .49 5.2 76.56 95.22 109.15 116.50 4.8 .52 1.40 2.31 16.62 38.97 60.96 74.31 .48 5.3 76.76 95.39 109.26 116.54 4.7 .53 1.34 2.39 16.82 39.21 61.15 74.38 .47 5.4 76.96 95.55 109.36 116.57 4.6 .54 1.28 2.48 17.02 39.44 61.33 74.45 .46 5.5 77.16 95.72 109.47 116.61 4.5 .55 1.22 2.56 17.22 39.68 61.52 74.52 .45 5.6 77.36 95.88 109.58 116.64 4.4 .56 1.16 2.65 17.42 39.92 61.70 74.58 .44 5.7 77.57 96.05 109.68 116.68 4.3 .57 1.11 2.73 17.62 40.15 61.89 74.65 .43 5.8 77.77 96.21 109.79 116.71 4.2 .58 1.05 2.82 17.82 40.39 62.07 74.71 .42 5.9 77.97 96.38 109.89 116.75 4.1 .59 1.00 2.91 18.02 40.62 62.2G 74.77 .41 6.0 78.17 96.54 110.00 116.78 4.0 .60 0.94 3.00 18.22 40.86 62.44 74.83 .40 6.1 78.37 96.70 110.10 116.81 3.9 .61 0.89 3.10 18.42 41.10 62.62 74.89 .39 6.2 78.57 96.87 110.21 116.84 3.8 .62 0.84 3.19 18.63 41.33 62.80 74.94 .38 6.3 78.77 97.03 110.31 116.87 3.7 .63 0.79 3.29 18.83 41.57 62.98 75.00 .37 6.4 78.97 97.19 110.41 116.90 3.6 .64 0.75 3.38 19.04 41.80 63.15 75.05 .36 6.5 79.17 97.35 110.51 116.93 3.5 .65 0.70 3.48 19.24 42.04 63.33 75.10 .35 6.6 79.37 97.51 110.61 116.95 3.4 .66 0.66 3.58 19.45 42.28 63.50 75.15 .34 6.7 79.57 97.67 110.70 116.98 3.3 .67 0.61 3.68 19.65 42.51 63.68 75.20 .33 6.8 79.77 97.83 110.80 117.00 3.2 .68 0.57 3.78 19.86 42.75 63.85 75.25 .32 6.9 79.96 97.99 110.90 117.02 3.1 .69 0.53 3.89 20.07 42.98 64.03 75.29 .31 7.0 80.16 98.15 111.00 117.04 3.0 .70 0.49 3.99 20.28 43.22 64.20 75.34 .30 7.1 80.36 98.31 111.09 117.06 2.9 .71 0.45 4.10 20.19 43.45 64.37 75.38 .29 7.2 80.56 98.46 111.19 117.08 2.8 .72 0.42 4.20 20.70 43.69 64.54 75.42 .28 7.3 80.76 98.62 111.28 117.10 2.7 .73 0.38 4.31 20.91 43.92 64.71 75.46 .27 7.4 80.95 98.77 111.38 117.12 2.6 .74 0.35 4.42 21.12 44.16 64.88 75.50 .26 7.5 81.15 98.93 111.47 117.14 2.5 .75 0.32 4.53 21.33 44.39 65.05 75.54 .25 7.6 81.35 99.08 111.56 117.16 2.4 .76 0.29 4.65 21.5-1 44. K2 65.21 75.57 .24 7.7 81.54 99.24 111. Bu- 117.18 2.3 .77 0.27 4.76 21.76 44.85 65.38 ^5.Gi .23 7.8 81.74 99.39 ll 1.75 1 17.20 2.2 .78 0.24 4.88 21.97 45.09 65.54 75.64 .22 7.9 81.93 99.55 111.84 117.21 2.1 .79 0.22 4.99 22.19 45.32 65.71 75.67 .21 8.0 82.13 99.70 111.93 117.23 2.0 .80 0.19 5.11 22.40 45.55 65.87 75.70 .20 8.1 82.32 99.85 112.02 117.25 1.9 .81 0.17 5.23 22.62 45.78 66.03 75.73 .19 8.2 82.52 100.00 112.11 117.26 1.8 .82 0.15 5.36 22.83 46.01 6C.18 75.75 .18 8.3 82.71 100.15 112.20 117.28 1.7 .83 0.13 5.48 23.05 46.2o 66.34 75.78 .17 8.4 82.91 100.30 112.28 117.29 1.6 .84 0.11 5.61 23.26 46.48 66.49 75.80 ;16 8.5 83.10 100.45 112.37 117.31 1.5 .85 0.09 5.73 23.48 46.71 66.65 75.83 .15 8.6 83.29 100.60 1 12.45 117.32 1.4 .86 0.08 5.86 23.70 46.94 66.80 75.85 .14 8.7 83.48 100.75 112.54 117.33 1.3 .87 0.06 5.98 23.92 47.17 66.96 75.87 .13 8.8 83.68 100.90 112.62 117.34 1.2 .88 0.05 6.11 24.14 47.40 67.11 75.89 .12 8.9 83.87 101.04 112.71 117.35 1.1 .89 0.04 6.24 24.36 47.63 67.26 75.90 .11 9.0 84.06 101.19 112.79 117.36 1.0 .90 0.03 6.37 24.58 47.86 67.41 75.92 .10 9.1 84.25 101.34 112.87 117.37 0.9 .91 0.02 6.50 24.80 48.09 67.56 75.93 .09 9.2 84.45 101.48 112.95 117.38 0.8 .92 0.02 6.64 25.02 48.32 67.71 75.95 .08 9.3 84.64 101.63 113.03 117.38 0.7 .93 0.01 6.77 25.24 48.55 67.86 75.96 .07 9.4 84.83 101.77 113.11 117.39 0.6 .94 0.01 6.91 25.47 48.77 68.00 75.97 .06 9.5 85.02 101.92 113.19 117.39 0.5 .95 0.00 7.04 25.69 49.00 68.15 75.98 .05 9.6 85.21 102.06 113.27 117.40 0.4 .96 0.00 7.18 25.92 49.23 68.29 75.99 .04 9.7 85.41 102.21 113.35 117.40 0.3 .97 0.00 7.32 26.14 49.45 68.44 75.99 .03 9.8 85.60 102.35 113.43 117.40 0.2 .98 0.01 7.46 26.37 49.68 68.58 76.00 .02 9.9 85.79 102.49 113.50 117.40 0.1 .99 0.01 7.60 26.59 49.90 68.72 76.00 .01 10.0 85.98 102.63 113.58 1 17.40 0.0 1.00 0.02 7.74 26.82 50.13 68.86 76.00 .00 Days. 12O no 100 9O Days. Days. 11 10 9 8 7 6 Days. 173 TABLE XIX. ARGUMENT 14. Equation = 28".8 [1 — sin. (2< + z — *)]. Period, 29.263279 days. Days. O 1 2 3 4 5 6 r 8 9 Days. i>m. .00 57.50 57.33 55.86 53.13 49.27 44.50 38.99 33.02 26.85 20.77 I'ays. 1.00 .01 57.51 57.32 55.84 53.10 49.23 44.45 38.93 32.96 26.79 20.71 .99 .02 57.52 57.31 55.82 53.07 49.19 44.40 38.87 32.90 26.73 20.65 .98 .03 57.52 57.30 55.79 53.03 49.14 44.34 38.82 32.84 26.67 20.59 .97 .04 57.53 57.30 55.77 53.00 49.10 44.29 38.76 32.78 26.60 20.53 .96 .05 57.53 57.29 55.75 52.97 49.05 44.24 38.70 32.72 26.54 20.47 .95 .06 57.54 57.28 55.73 52.93 49.01 44.18 38.64 32.65 26.48 20.42 .94 .07 57.54 57.27 55.71 52.90 48.96 44.13 38.59 32.59 26.41 20.36 .93 .08 57.54 57.26 55.68 52.87 48.92 44.08 38.53 32.53 26.35 20.30 .92 .09 57.55 57.25 55.66 52.83 48.87 44.02 38.47 32.47 26.29 20.24 .91 .10 57.55 57.24 55.64 52.80 48.83 43.97 38.41 32.41 26.23 20.18 .90 .11 57.55 57.23 55.62 52.77 48.78 43.92 38.35 32.35 26.17 20.12 .89 .12 57.56 57.22 55.60 52.73 48.74 43.86 38.29 32.29 26.11 20.06 .88 .13 57.56 57.21 55.57 52.70 48.69 43.81 38.23 32.23 26.05 20.00 .87 .14 57.56 57.20 55.55 52.66 48.65 43.76 38.17 32.16 25.98 19.94 .86 .15 57.57 57.19 55.53 52.63 48.60 43.71 38.11 32.10 25.92 19.88 .85 .16 57.57 57.18 55.50 52.59 48.56 43.65 38.06 32.04 25.86 19.83 .84 .17 57.57 57.17 55.48 52.56 48.51 43.60 38.00 31.97 85.79 19.77 .83 .18 57.58 57.16 55.46 52.52 48.47 43.55 37.94 31.91 25.75 19.71 .88 .19 57.58 57.15 55.43 52.49 48.42 43.49 37.88 31.85 25.67 19.65 .81 .20 57.58 57.14 55.41 52.45 48.38 43.44 37.82 31.79 25.61 19.59 .80 .21 57.58 57.13 55.39 52.41 48.33 43.39 37.76 31.73 25.55 19.53 .79 .22 57.58 57.12 55.36 52.38 48.29 43.34 37.70 31.67 25.49 19.47 .78 .23 57.59 57.11 55.34 52.34 48.24 43.28 37.64 31.61 25.43 19.41 .77 .24 57.59 57.10 55.31 52.30 48.20 43.23 37.58 31.54 25.36 19.36 .76 .25 57.59 57.09 55.29 52.27 48.15 43.18 37.52 31.48 25.30 19.30 .75 .26 57.59 57.08 55.26 52.23 48.11 43.12 37.47 31.42 25.24 19.24 .74 .27 57.5!) 57.06 55.24 52.19 48.06 43.07 37.41 31.35 25.17 19.19 .73 .28 57.59 57.05 55.21 52.16 48.02 43.02 37.35 31.29 25.11 19.13 .72 .29 57.60 57.04 55.19 52.12 47.97 42.96 37.29 3123 25.05 19.07 .71 .30 57.60 57.03 55.16 52.08 47.93 42.91 37.23 31.17 24.99 19.01 .70 .31 57.60 , 57.02 55.14 52.04 47.88 42.86 37.17 31.11 24.93 18.05 .89 .32 57.60 57.01 55.11 52.00 47.84 42.80 37.11 31.05 24.87 18.89 .68 .33 57.60 56.99 55.09 51.97 47.79 42.75 37.05 30.99 24.81 18.83 .67 .34 57.60 56.98 55.06 51.93 47.75 42.70 36.99 30.93 24.74 18.78 .66 .35 57.60 56.97 55.03 51.89 47.70 42.64 36.93 30.87 24.68 18.72 .65 .36 57.60 56.95 55.01 51.85 47.66 42.69 36.88 30.NO 24.62 18.66 .64 .37 57.60 56.94 54.98 51.81 47.61 42.53 36.82 30.74 24.55 18.61 .63 .38 57.60 56.93 54.96 51.78 47.56 42.48 36.76 30.68 24.49 18.55 .82 .39 57.60 56.91 54.93 51.74 47.52 42.42 36.70 8ft63 24.43 18.49 .61 .40 57.60 56.90 54.90 51.70 47.47 42.37 36.6 I 30.56 24.37 18.43 .60 .41 57.60 56.89 54.87 51.66 47.43 42.31 86.58 30.50 24.31 18.31 .59 .42 57.59 56.87 54.85 51.62 47.38 42.26 36.52 30.4 1 24.25 18.31 .58 .43 57.59 56.86 5&89 51.59 47.33 42.20 36.46 30.3N 24.19 18.26 .57 .44 57.59 56.84 54.79 51.55 47.29 42.15 36.40 80.81 24.13 18.20 .56 .45 57.59 56.83 54.77 51.51 47.24 42.09 36.3 1 3055 24.07 18.14 .55 .46 57.5!) 56.81 54.74 51.47 47.19 42.04 36.28 30.19 24.00 18.09 .54 .47 57.59 68.80 f>4.7 1 51.43 47.14 41.981 36.22 80.12 23.94 18.03 ,r>:i '.48 ;,7.:>s 56.78 54.69 51.40 47.09 41.93 36.16 8Q.06 23.88 17.98 .52 .4!) r.7.:>s 56.77 54.66 51.36 47.04 41.87 36.10 30.00 23.82 17.92 .51 .50 57. 5>< 56.75 51.63 M.32 46.99 41.82 36.04 29.94 23.76 17.86 .50 Days. 29 28 27 26 25 24 23 22 21 2O Days. 174 TABLE XIX. ARGUMENT 14. Equation = 28".8 [1— sin. (2<-j-« — a)]. Period, 29.263279 days. Days. O 1 2 3 4 a 6 7 8 9 Days. Days. It f a II it • • I lavs .50 57.58 56.75 54.63 51.32 46.99 41.82 36.04 29.94 23.76 17.86 .50 .51 57.58 56.74 54.60 51.28 46.94 41.76 35.98 29.88 23.70 17.80 .49 .52 57.58 56.72 54.57 51.24 46.89 41.71 35.92 29.82 23.64 17.74 .48 .53 57.57 56.71 54.55 51.20 46.85 41.65 35.86 29.76 23.58 17.69 .47 .54 57.57 56.69 54.52 51.17 46.80 41.60 35.80 29.69 23.52 17.63 .46 .55 57.57 56.68 54.49 51.13 46.75 41.54 35.74 29.63 23.46 17.57 .45 .56 57.57 56.66 54.46 51.09 46.70 41.49 35.68 29.57 23.40 17.52 .44 .57 57.57 56.65 54.44 51.05 46.65 41.43 35.62 29.50 23.34 17.46 .43 .58 57.56 56.63 54.41 51.01 46.60 41.38 35.56 29.44 23.28 17.41 .42 .59 57.56 56.62 54.38 50.97 46.55 41.32 35.50 29.38 23.22 17.35 .41 .60 57.56 56.60 54.35 50.93 46.50 41.26 35.44 29.32 23.16 17.29 .40 .61 57.56 56.58 54.32 50.89 46.45 41.21 35.38 29.26 23.10 17.23 .39 .62 57.55 56.57 54.29 50.85 46.40 41.15 35.32 29.20 23.04 17.17 .38 .63 57.55 56.55 54.27 50.81 46.36 41.10 35.26 29.14 22.98 17.12 .37 .64 57.55 56.53 54.24 50.77 46.31 41.04 35.20 29.07 22.92 17.06 .36 .65 57.54 56.52 54.21 50.73 46.26 40.98 35.14 29.01 22.86 17.00 .35 .66 57.54 56.50 54.18 50.69 46.21 40.93 35.08 28.95 22.80 16.95 .34 .67 57.54 56.48 54.15 50.65 46.16 40.87 35.02 28.88 22.74 16.89 .33 .68 57.53 56.47 54.13 50.61 46.11 40.81 34.96 28.82 22.68 16.84 .32 .69 57.53 56.45 54.10 50.57 46.06 40.76 34.90 28.76 22.62 16.78 .31 .70 57.53 56.43 54.07 50.53 46.01 40.70 34.84 28.70 22.56 16.72 .30 .71 57.52 56.41 54.04 50.49 45.96 40.64 34.78 28.64 22.50 16.66 .29 .72 57.52 56.39 54.01 50.45 45.91 40.59 34.72 28.58 22.44 16.61 .28 .73 57.52 56.38 53.98 50.41 45.86 40.53 34.66 28.52 22.38 16.55 .27 .74 57.51 56.36 53.95 50.37 45.82 40.47 34.60 28.46 22.32 16.50 .26 .75 57.51 56.34 53.92 50.33 45.77 40.42 34.54 28.40 22.26 16.44 .25 .76 57.50 56.32 53.89 50.28 45.72 40.36 34.47 28.33 22.20 16.38 .24 .77 57.50 56.30 53.86 50.21 45.67 40.30 34.4! 28.27 22.14 16.:*3 .23 .78 57.49 56.29 53.83 50.20 45.62 40.25 34.35 28.21 '22.08 16.27 .22 .79 57.49 56.27 53.80 50.16 45.57 40.19 34.29 28.15 22.02 16.22 .21 .80 57.48 56.25 53.77 50.12 45.52 40.13 34.23 28.09 21.96 16.16 .20 .81 57.47 56.23 53.74 50.08 45.47 40.07 34.17 28.03 21.90 16.10 .19 .82 57.47 56.21 53.71 50.04 45.42 40.02 34.11 27.97 21.84 16.05 .18 .83 57.46 56.19 5.J.68 50.00 45.37 39.96 31.05 27.!)) 21.78 15.99 .17 .84 57.46 56.18 53.65 49.95 45.32 39.90 33.99 27.84 21.72 15.94 .16 .85 57.45 56.16 53.62 49.91 45.27 39.85 33.93 27.78 21.66 15.88 .15 .86 57.45 56.14 53.59 49.87 45.22 39.79 33.86 27.72 21.60 15.83 .14 .87 57.44 56.12 53.55 49.83 45.17 39.73 33.80 27.65 21.54 15.77 .13 .88 57.43 56.10 53.52 49.78 45.12 39.68 33.74 27.59 21.48 15.72 .12 .89 57.42 56.08 53.49 49.74 45.07 39.62 33.68 27.53 21.42 15.66 .11 .90 57.41 56.06 53.46 49.70 45.02 39.56 33.62 27.47 21.36 15.61 .10 .91 57.40 56.04 53.43 49.66 44.97 39.50 33.56 27.41 21.30 15.55 .09 .92 57.40 56.02 53.40 49.62 44.92 39.45 33.50 27.35 21.24 15.50 .08 .93 57.39 56.00 53.36 49.57 44.86 39.39 33.44 27.29 21.18 15.44 .07 .94 57.39 55.98 53.33 49.53 44.81 39.33 33.38 27.22 21.12 15.39 .06 .95 57.38 55.96 53.30 49.49 44.76 39.28 33.32 27.16 21.07 15.33 .05 .96 57.37 55.94 53.26 49.44 44.71 39.22 33.26 27.10 21.01 15.28 .04 .97 57.36 55.92 53.23 49.40 44.65 39.16 33.20 27.03 20.95 15.22 .03 .98 57.35 55.90 53.20 49.36 44.60 39.11 33.14 26.97 20.89 15.17 .02 .99 57.34 55.88 53.16 49.31 44.55 39.05 33.08 26.91 20.83 15.11 .01 1.00 57.33 55.86 53.13 49.27 44.50 38.99 33.02 26.85 20.77 15.06 .00 Days. 29 28 27 26 25 24 23 22 21 2O Days. 175 TABLE XIX. (Continued.) Period, 29.263279 days. TABLE XX. ARG. 15, Equation = 25".0 [1 — sin. (2< + z)]. Period, 14.1916109 days. Days. 1O 11 Id 13 14 0 1 2 3 Days. Day.. .00 15.06 0.98 If 5.77 2.62 0.66 48.06 49".98 II 47.12 39". 98 l)ay«. 1.00 .01 15.01 9.93 5.73 2.59 0.65 48.10 49.98 47.07 39.89 .99 .02 14.95 9.89 5.69 2.57 0.64 48.15 49.97 4701 39.80 .98 .03 14.90 9.84 5.66 2.54 0.62 48.19 49.96 46.96 39.71 .97 .04 14.84 9.79 5.62 2.52 0.61 48.23 49.96 46.91 39.62 .96 .05 14.79 9.75 5.58 2.49 0.60 48.27 49.95 46.86 39.53 .95 .06 14.74 9.70 5.55 2.46 0.59 48.31 49.95 46.80 39.14 .94 .07 14.68 9.66 5.51 2.44 0.57 48.35 49.94 46.75 39.35 .93 .08 14.63 9.61 5.48 2.41 0.56 48.39 49.93 46.69 39.26 .92 .09 14.57 9.57 5.44 2.39 0.55 48.43 49.92 46.64 39.17 .91 .10 14.52 9.52 5.40 2.36 0.54 48.47 49.91 46.58 39.08 .90 .11 14.47 9.47 5.36 2.34 0.53 48.51 49.90 46.52 38.99 .89 .12 14.41 9.43 5.33 2.31 0.52 48.54 49.89 46.46 38.90 .88 .13 14.36 9.38 5.29 2.29 0.51 48.58 49.88 46.41 38.81 .87 .14 14.31 9.34 5.25 2.26 0.50 48.61 49.87 46.35 38.71 .86 .15 14.25 9.29 5.22 2.24 0.48 48.65 49.86 46.29 38.62 .85 .16 14.20 9.25 5.18 2.22 0.47 48.68 49.84 46.24 38.53 .84 .17 14.15 9.21 5.15 2.19 0.46 48.71 49.83 46.18 38.44 .83 .18 14.09 9.16 5.11 2.17 0.45 48.75 49.82 46.12 :JN.:{ i .82 .19 14.04 9.12 5.08 2.14 0.44 48.78 49.80 46.06 38.25 .81 .20 13.99 9.07 5.04 2.12 0.43 48.82 49.79 46.00 38.16 .80 .21 13.94 9.02 5.01 2.10 0.42 48.85 49.78 45.94 38.07 .79 .22 13.88 8.98 4.97 2.08 0.41 48.88 49.76 45.88 37.97 .78 .23 13.83 8.93 4.94 2.05 0.40 48.92 49.74 45.82 37.88 .77 .24 13.78 8.89 4.90 2.03 0.39 48.95 49.73 45.76 37.78 .76 .25 13.72 8.84 4.87 2.00 0.38 48.98 .49.71 45.69 37.69 .75 .26 13.67 8.80 4.83 1.98 0.37 49.01 49.69 45.63 37.59 .74 .27 13.62 8.76 4.80 1.95 0.36 49.04 49.68 45.57 37.50 .73 .28 13.56 8.71 4.77 1.93 0.35 49.07 49.66 45.50 37.40 .72 .29- 13.51 8.67 4.73 1.91 0.34 49.10 49.64 45.44 37.31 .71 .30 13.46 8.62 4.70 1.89 0.33 49.13 49.62 45.38 37.21 .70 .31 13.41 8.58 4.67 1.87 0.32 49.16 49.60 45.31 37.11 .69 .32 13.36 8.53 4.64 1.85 0.31 49.19 49.58 45.25 37.01 .68 .33 13.31 8.49 4.60 1.83 0.30 49.22 49.56 45.18 36.92 .67 .34 13.25 8.44 4.57 1.81 0.29 49.25 49.54 45.11 36.82 .66 .35 13.20 8.40 4.53 1.78 0.28 49.27 49.51 45.05 36.72 .65 .36 13.15 8.36 4.50 1.76 0.28 49.30 49.49 44.98 86.62 .64 .37 13.09 8.31 4.47 1.74 0.27 l!).:i.-i 49.47 44.91 3li. .V{ j68 .38 13.04 8.27 4.43 1.72 0.26 49.85 49.40 44.85 86.43 .(W .39 12.99 8.22 4.40 1.70 0.25 49.38 49.42 44.78 :«;.:(:! .61 .40 12.94 8.18 4.37 1.68 0.24 49.40 49.40 44.71 86.28 .60 .41 12.89 8.14 4.34 1.66 0.23 lit. Iv! 49.37 44.64 86.13 .59 .42 12.84 8.10 4.31 1.64 0.22 19.46 I!).:!.') 44.57 36.03 .58 .1:: l'J.7!t 8.06 4.28 1.62 0.22 49.47 49.33 44.50 85.93 .57 .44 12.73 8.01 4.24 1.60 0.21 49.49 49.29 44.43 85.83 .56 .45 12.68 7.97 4.21 1.58 0.20 49.52 4937 44.36 15.78 .55 .46 12.63 7.93 4.18 i.r.6 0.20 49.51 48.24 44.29 :t:>.(;:f .54 .17 12.57 7.88 4.14 1.51 0.19 49.56 l't.-Jl 44.22 86.63 J58 .48 12.52 7.84 4.11 1.52 0.19 49.68 49.19 44.15 35. 13 .52 .49 ta.41 7.«0 4.M 1.50 0.18 iiu;o 49.16 44.08 35.33 .51 .50 I -J.lv! 7.76 4.05 1.48 0.17 49.62 49.13 44.01 35.23 .50 Days. 19 18 17 16 IS IS 14 13 1« Days. 176 TABLE XIX. TABLE XX. ARG. 15. ( Continued.) Equation = 25".0 [1 — sin. (2* + 2)] . Period, 29.263279 days. Period, 14.1916109 days. * i ' ^ Days. 1O 11 13 13 14 0 1 3 3 Days. Days II j II /( Days. .50 12.42 7.76 4.05 1.48 0.17 49.62 49.13 44.01 35.23 .50 .51 12.37 7.72 4.02 1.46 0.16 49.64 49.10 43.94 35.13 .49 .52 12.32 7.68 3.99 1.44 0.15 49.66 49.07 43.86 35.03 .48 .53 12.27 7.64 3.96 1.42 0.15 49.68 49.04 43.79 34.93 .47 .54 12.22 7.60 3.93 1.40 0.14 49.70 49.01 43.72 34.82 .46 .55 12.17 7.56 3.89 1.38 0.14 49.71 48.98 43.64 34.72 .45 .56 12.12 7.51 3.86 1.37 0.13 49.73 48.94 43.57 34.62 .44 .57 12.07 7.47 3.83 1.35 0.13 49.74 48.91 43.50 34.52 .43 .58 12.02 7.43 3.80 1.33 0.12 49.75 48.88 43.42 34.41 .42 .59 11.97 7.39 3.77 1.31 0.12 49.77 48.85 43.35 34.31 .41 .60 11.92 7.35 3.74 1.29 0.11 49.78 48.82 43.28 34.21 .40 .61 11.87 7.31 3.71 1.27 0.11 49.79 48.79 43.20 34.11 .39 .62 11.82 7.27 3.68 1.25 0.10 49.81 48.75 43.13 34.00 .38 .63 1177 7.23 3.65 1.24 0.10 49.82 48.72 43.05 33.90 .37 .64 11.72 7.19 3.62 1.22 0.09 49.83 48.69 42.97 33.79 .36 .65 11.67 7.15 3.59 1.20 0.08 49.85 48.65 42.90 33.69 .35 .66 11.63 7.10 3.56 1.19 0.08 49.86 48.61 42.82 33.59 .34 .67 11.58 7.06 3.53 1.17 0.07 49.87 48.58 42.75 33.48 .33 .68 11.53 7.02 3.50 1.15 0.07 49.88 48.54 42.67 33.38 .32 .69 11.48 6.98 3.47 1.13 0.06 49.89 48.50 42.59 33.27 .31 .70 11.43 6.94 3.44 1.11 0.06 49.90 48.46 42.51 33.17 .30 .71 11.38 6.90 3.41 1.09 0.06 49.91 48.42 42.43 33.07 .29 .72 11.33 6.86 3.38 1.08 0.05 49.92 48.38 42.35 32.96 .28 .73 11.28 6.82 3.35 1.06 0.05 49.93 • 48.34 42.27 32.86 .27 .74 11.23 6.78 3.33 1.04 0.05 49.94 48.30 42.19 32.75 .26 .75 11.18 6.74 3.30 1.03 0.04 49.94 48.26 42.11 32.65 .25 .76 11.14 •6.70 3.27 1.01 0.04 49.95 48.22 42.02 32.54 .24 .77 11.09 6.66 3.25 1.00 0.04 49.95 48.18 41.94 32.43 .23 .78 11.04 6.62 3.22 0.98 0.03 49.96 48.14 41.86 32.33 .22 .79 10.99 6.58 3.19 0.97 0.03 49.97 48.10 41.78 32.22 .21 .80 10.94 6.54 3.16 0.95 0.03 49.97 48.06 41.70 32.12 .20 .81 10.89 6.50 3.13 0.93 0.03 49.97 48.02 41.62 32.01 .19 .82 10.84 6.46 3.10 0.92 0.03 49.98 47.97 41.53 31.90 .18 .83 10.79 6.42 3.08 0.90 0.03 49.98 47.93 41.45 31.80 .17 .84 10.74 6.38 3.05 0.89 0.02 49.98 47.88 41.36 31.69 .16 .85 10.69 6.34 3.02 0.87 0.02 49.99 47.84 41.28 31.59 .15 .86 10.65 6.31 3.00 0.86 0.02 49.99 47.79 41.19 31.49 .14 .87 10.60 6.27 2.97 0.85 0.02 49.99 47.75 41.10 31.38 .13 .88 10.55 6.23 2.95 0.83 0.01 50.00 47.70 41.02 31.28 .12 .89 10.50 6.19 2.92 0.82 0.01 50.00 47.66 40.93 31.17 .11 .90 10.45 6.15 2.89 0.80 0.01 50.00 47.61 40.85 31.06 .10 .91 10.40 6.11 2.86 0.79 0.01 50.00 47.56 40.76 30.95 .09 .92 10.35 6.07 2.83 0.77 0.01 50.00 47.51 40.68 30.84 .08 .93 10.31 6.03 2.81 0.76 0.00 50.00 47.46 40.59 30.73 .07 .94 10.26 6.00 2.78 0.74 0.00 49.99 47.41 40.51 30.63 .06 .95 10.22 5.96 2.75 0.73 0.00 49.99 47.37 40.42 30.52 .05 .96 10.17 5.92 2.73 0.72 0.00 49.99 47.32 40.33 30.41 .04 .97 10.12 5.89 2.70 0.70 0.00 49.99 47.27 40.25 30.31 .03 .98 10.08 5.85 2.68 0.69 0.00 49.98 47.22 40.16 30.20 .02 .99 10.03 5.81 2.65 0.67 0.00 49.98 47.17 40.07 30.09 .01 1.00 9.98 5.77 2.62 0.66 0.00 49.98 47.12 39.98 29.98 .00 Days. 19 18 17 16 15 15 14 13 12 Days. 177 TABLE XX. (Continued.) Period, 14.1916109 days. TABLE XXI. ARG. 16. Equation = 21". — 8"J2 sin. (« + *) + 14". 1 sin. 2 (t + x). Period, 14.2541847 days. Days. 4 s 6 7 Days. Days. O 1 2 3 4 Days (I u It Days. Days. .00 29.98 18.99 9.17 2.41 1.00 .00 36.71 41.06 31.34 22.23 13.49 .01 29.87 18.88 9.09 2.36 .99 .01 36.82 41.04 34.23 22.11 13.45 .02 29.76 18.78 9.00 2.32 .98 .02 36.JI2 41.02 34.12 21.99 13.40 .03 29.65 18.67 8.92 2.27 .97 .03 37.02 41.00 34.01 21.88 13.36 .04 29.54 18.56 8.83 2.23 .96 .04 37.11 40.98 33.90 21.76 13.31 .05 29.43 18.46 8.75 2.18 .95 .05 37.21 40.96 33.79 21.64 13.27 .06 29.32 18.35 8.67 2.14 .94 .06 37.30 40.94 33.68 21.53 13.23 .07 '29.21 18.24 8.58 2.10 .93 .07 37.40 40.91 33.57 21.41 13.19 .08 29.10 18.14 8.50 2.05 .92 .08 37.49 40.89 33.46 21.29 13.15 .09 28.99 18.03 8.41 2.01 .91 .09 37.58 40.86 33.34 21.18 13.11 .10 .11 .12 .13 .14 28.88 28.77 28.66 28.55 28.44 17.92 17.82 17.71 17.61 17.50 8.33 8.25 8.17 8.09 8.01 1.96 1.92 1.88 1.84 1.80 .90 .89 .88 .87 .86 .10 .11 .12 .13 .14 37.67 37.76 37.85 37.94 38.02 40.84 40.81 40.78 40.75 40.72 33.23 33.12 33.01 32.89 32.78 21.07 20.95 20.84 20.73 20.61 13.07 13.04 13.00 12.97 12.93 .15 28.33 17.39 7.92 1.75 .85 .16 28.22 17.29 7.84 1.71 .84 .15 38.11 40.69 32.66 20.50 12.90 .17 28.11 17.18 7.76 1.67 .83 .16 38.19 40.65 32.55 20.39 12.87 .18 28.00 17.08 7.68 1.63 .82 .17 38.28 40.62 32.43 20.28 12.84 .19 27.89 16.97 7.60 1.59 .81 .18 38.36 40.58 32.31 20.17 12.81 .19 38.44 40.55 32.19 20.06 12.78 .20 27.78 16.87 7.52 1.55 .80 .21 27.67 16.77 7.44 1.51 .79 .20 38.52 40.51 32.07 19.95 12.75 .22 27.56 16.66 7.36 1.48 .78 .21 38.60 40.47 31.95 19.84 12.73 .23 27.45 16.56 7.29 1.44 .77 .22 38.68 40.43 31.83 19.73 12.70 .24 27.34 16.45 7.21 1.40 .76 .23 38.75 40.39 31.71 19.62 12.68 .24 38.83 40.35 31.59 19.52 12.65 .25 27.23 16.35 7.13 1.37 .75 .26 27.12 16.24 7.06 1.33 .74 .25 38.90 40.30 3 1.47" 19.41 12.63 .27 27.01 16.14 6.98 1.30 .73 .26 38.98 40.26 31.35 19.30 12.61 .28 26.90 16.04 ' 6.91 1.26 .72 .27 39.05 40.21 31.23 19.19 12.59 .29 26.79 15.93 6.83 1.23 .71 .28 39.12 40.17 31.11 19.08 12.57 .29 39.19 40.12 30.99 18.98 12.55 .30 26.68 15.83 6.75 1.19 .70 .31 .32 .33 .34 26.57 26.46 26.35 26.24 15.73 15.63 15.52 15.42 6.68 6.60 6.53 6.45 1.16 1.13 1.10 1.07 .69 .68 .67 .66 .30 .31 .32 .33 39.26 39.32 39.39 39.45 40.07 40.02 39.97 39.92 30.87 30.75 30.63 30.51 18.88 18.78 18.68 18.58 12.53 12.51 12.50 12.48 .35 26.13 15.32 6.38 1.03 .65 .34 39.51 39.86 30.39 18.48 12.47 .36 26.02 15.22 6.30 1.00 .64 .37 25.91 15.11 6.23 0.97 .63 .35 39.57 39.81 30.27 18.38 12.45 .38 25.80 15.01 6.16 0.94 .62 .36 89.69 :{!).?: 30.15 18.28 12.44 .39 25.69 14.91 6.08 o.ei .61 .37 39.69 :t!».7( 30.02 18.18 12.43 .38 39.75 39.64 29.90 18.08 12.42 .40 25.58 14.81 6.01 0.88 .60 .39 39.81 39.58 29.78 17.98 12.41 .41 25.47 14.7 5.94 0.85 .59 .42 •jf..:ii 14.6 5.87 '0.82 .58 .40 39.87 39.5-. 29.65 17.88 12.40 .43 25.25 14.5 5.80 0.80 .57 .41 39.92 39.46 29.53 17.78 12.39 .44 25.14 14.4 5.73 0.77 .56 .42 39.97 39.40 29.41 17.69 12.39 .4.'} 40.02 39.34 29.29 17.59 12.38 .45 25.0! 14.3 5.66 0.74 .55 .44 40.07 39.27 29.17 17.50 12.38 .46 24.92 14.2 5.59 0.72 .51 .47 ^l.M 14.1 5.52 0.69 .53 .45 40.12 39.21 29.04 17.40 12.38 .is 21.71 14.0 f>.i.- 0.67 .52 .46 40.17 :«». 1 1 28.92 17.31 12.37 .4!) •.M..V 13.9 5.38 0.64 .51 .47 40.22 39.08 28.80 17.22 12.37 .50 •Jt.ls 13.8 5.3 0.61 .50 .48 40.27 89.01 28.67 17.12 12.37 Days. 11 1O 9 8 Days. .49 .50 40.31 40.36 :is.:>.(;7 .59 .42 0.00^ 0.53 1.94 4.14 7.03 10.47 14.25 18.18 22.08 25.71 .58 .43 0.00 0.54 1.95 4.17 7.07 10.50 14.29 18.22 22.12 25.74 .57 .44 0.00 0.55 1.97 4.19 7.10 10.54 14.33 18.26 22.15 25.78 .56 .45 0.00 0.56 1.99 4.22 7.13 10.57 14.36 [8.80 22.19 25.81 .55 .46 0.01 0.57 2.01 4.24 7.16 10.61 14.40 18.34 22.23 25.84 .54 .47 0.01 0.68 2.03 4.27 7.20 10.65 11.11 is. :is 22.26 85.88 .53 .48 0.01 0.591 2.04 I JO 7/J.H 10.68 1 1. is 18.42 83.80 26.91 .52 .49 0.01 <>.<;(> 2.06 4.32 7.26 10.72 14.52 18.46 83.84 25.95 .51 .50 0.01 (Mil 2.08 4.:{.-> 7.29 10.76 1 1.:,<; 18.50 22.38 25.98 .50 Days, 37 36 35 34 «a 33 31 30 19 18 Days. 182 TABLE XXII. ARGUMENT 17. Equation = 17".2 [l-{-sin. Period, 27.3216794 days. Days. O 1 2 3 4 a 6 7 8 9 Days. Davs. | " lf f _ H H *• II H Days. .50 0.01 0.61 2.08 4.35 7.29 10.76 14.56 18.50 22.38 25.98 .50 .51 0.01 0.62 2.10 4.39 7.32 10.80 14.60 18.51 22.42 26.01 .49 .52 0.01 0.63 2.12 4.40 7.35 10.84 14.64 18.58 22.46 26.05 .48 .53 0.0-2 0.64 2.14 4.42 7.39 10.87 14.68 18.62 22.50 26.08 .47 .54 0.02 0.65 2.10 4.45 7.42 10.91 14.72 18.66 22.53 26.12 .46 .55 0.02 0.66 2.17 4.48 7.45 10.94 14.75 18.70 22.57 26.15 .45 .56 0.02 0.68 2.19 4.50 7.48 10.98 14.79 18.74 22.61 26.18 .44 .57 0.03 0.69 2.21 4.53 7.52 11.02 14.83 18.78 22.64 26.22 .43 .58 0.03 0.70 2.23 4.55 7.55 11.05 14.87 18.82 22.68 26.25 .42 .59 0.03 0.71 2.25 4.58 7.58 11.09 14.91 18.86 22.72 26.29 .41 .60 0.03 0.72 2.27 4.61 7.61 11.13 14.95 18.90 22.76 26.32 .40 .61 0.03 0.73 2.29 4.64 7.64 11.17 14.99 18.94 22.80 26.35 .39 .62 0.04 0.74 2.31 4.66 7.67 11.21 15.03 18.98 22.84 26.39 .38 .63 0.04 0.75 2.33 4.69 7.71 11.24 15.07 19.02 22.87 26.42 .37 .64 0.04 0.77 2.35 4.72 7.74 11.28 15.11 19.06 22.91 26.46 .36 .65 0.04 0.78 2.37 4.74 7.77 11.31 15.14 19.10 22.95 26.49 .35 .66 0.05 0.79 2.39 4.77 7.81 11.35 15.18 19.14 22.98 26.52 .34 .67 0.05 0.80 2.41 4.80 7.84 11.39 15.22 19.18 23.02 26.56 .33 .68 0.05 0.82 2.43 4.82 7.87 11.42 15.26 19.22 23.05 26.59 .32 .69 0.06 0.83 2.45 4.85 7.91 11.46 15.30 19.26 23.09 26.63 .31 .70 0.06 0.84 2.47 4.88 7.94 11.50 15.34 19.30 23.13 26.66 .30 .71 0.06 0.85 2.49 4.91 7.97 11.54 15.38 19.34 23.17 26.69 .29 .72 0.07 0.87 2.51 4.94 8.00 11.58 15.42 19.38 23.21 26.72 .28 .73 0.07 0.88 2.53 4.96 8.04 11.61 15.46 19.42 23.24 26.76 .27 .74 0.08 0.89 2.55 4.99 8.07 11.65 15.50 19.46 23.28 26.79 .26 .75 0.08 0.90 2.57 5.02 8.11 11.69 15.54 19.50 23.32 26.82 .25 .76 0.08 0.91 2.59 5.05 8.14 11.73 15.58 19.53 23.35 26.86 .24 .77 0.09 0.93 2.62 5.0S 8.18 11.77 15.62 U:.57 23.'J9 • Sai.K) .23 7Q o 0.09 0.94 2.64 5.10 8.21 11.80 15.66 19.61 23.42 26.93 .22 79 0.10 0.95 2.66 5.13 8.25 11.84 15.70 19.65 23.46 26.96 .21 .80 0.10 0.96 2.68 5.16 8.28 11.88 15.74 19.69 23.50 26.99 .20 .81 0.11 0.97 2.70 5.19 8.31 11.92 15.78 19.73 23.54 27.02 .19 .82 0.11 0.99 2.72 5.22 8.35 11.96 15.82 19.77 23.58 27.05 .18 .83 0.11 100 2.75 5.24 8.38 12.00 15.36 Hi. 1 23.61 27.09 .17 .84 0.12 1.01 2.77 5.27 8.42 12.03 15.90 19.85 23.65 27.12 .16 .85 0.12 1.03 2.79 5.30 8.45 12.07 15.93 19.89 23.69 27.15 .15 .86 0.13 1.04 2.81 5.31 8.48 12.11 15.97 19.92 23.72 27.18 .14 .87 0.13 1.05 2.83 5.36 8.52 12.14 16.01 19.96 23.76 27.22 .13 .88 0.13 1.07 2.86 5.38 8.55 12.18 16.05 20.00 23.79 27.25 .12 .89 0.14 1.08 2.88 5.41 8.58 12.22 16.09 20.04 23.83 27.28 .11 .90 0.14 1.09 2.90 5.44 8.62 12.26 16.13 20.08 23.87 27.31 .10 .91 0.15 1.10 2.92 5.47 8.65 12.30 16.17 20.12 23.91 27.34 .09 .92 0.15 1.12 2.94 5.50 8.69 12.34 16.21 20.16 23.95 27.37 .08 .93 0.16 1.13 2.97 5.53 8.72 12.38 16.25 20.20 23.98 27.40 .07 .94 0.16 1.15 2.99 5.56 8.76 12.41 16.29 20.24 24.02 27.43 .06 .95 0.17 1.16 3.01 5.59 8.79 12.45 16.32 20.28 24.06 27.47 .05 .96 0.17 1.17 3.03 5.62 8.83 12.49 16.36 20.31 24.09 27.50 .04 .97 0.18 1.19 3.05 5.65 8.86 12.52 16.40 20.35 24.13 27.53 .03 .98 0.19 1.20 3.08 5.68 8.89 12.56 16.44 20.39 24.16 27.56 .02 .99 0.19 1.21 3.10 5.71 8.93 12.60 16.48 20.43 24.20 27.59 .01 1.00 0.20 1.23 3.12 5.74 8.97 12.64 16.52 20.47 24.24 27.62 .00 Days. 27 26 25 24 23 22 21 2O 19 18 Days. 183 TABLE XXII. (Continued.) Period, 27.3216794 days. TABLE XXIII. ARG. 18, Equation = 14".0 [1 -+- sin. (2t + x — z)]. Period, 9.873593 days. Days. 1O 11 13 13 O 1 3 3 4 Days. *Sb 27.62 3047 32.61 33.94 o.oi 2.42 9.35 18.11 25.25 ItilVrt. 1.00 .01 27.65 30.49 32.63 33.95 0.01 2.47 9.43 18.19 25.30 .99 .02 27.68 30.52 32.65 33.96 0.01 2.52 9.52 18.28 25.35 .98 .03 27.71 30.54 32.66 33.97 0.01 2.58 9.60 18.3f 25.41 .97 .04 27.74 30.57 32.68 33.98 0.00 2.63 9.69 18.45 25.46 .96 .05 27.78 30.59 32.70 33.99 0.00 2.68 9.77 18.53 25.51 .95 .06 27.81 30.61 32.72 33.99 0.00 2.73 9.86 18.61 25.56 .94 .07 27.84 30.64 32.74 34.00 0.00 2.78 9.94 18.70 25.61 .93 .08 27.87 30.66 32.75 34.01 0.00 2.84 10.03 18.78 25.66 .92 .09 27.90 30.69 32.77 34.02 0.00 2.89 10.11 18.87 25.71 .91 .10 27.93 30.71 32.79 34.03 0.00 2.94 10.20 18.95 25.76 .90 .11 27.96 30.73 32.81 34.04 0.00 3.00 10.29 19.03 25.81 .89 .12 27.99 30.76 32.83 34.05 0.01 3.05 10.37 19.12 25.86 .88 .13 28.02 30.78 32.84 34.05 0.01 3.11 10.46 19.20 25.90 .87 .14 28.05 30.81 32.86 34.06 0.02 3.16 10.54 19.29 25.95 .86 .15 28.09 30.83 32.88 34.07 0.02 3.22 10.63 19.37 26.00 .85 .16 28.12 30.85 32.89 34.08 0.03 3.28 10.72 19.45 26.04 .84 .17 28.15 30.88 32.91 34.09 0.03 3.34 10.80 19.53 26.09 .83 .18 28.18 30.90 32.92 34.09 0.04 3.3!) 10.89 19.62 26.13 .82 .19 28.21 30.93 32.94 34.10 0.04 3.45 10.97 19.70 26.18 .81 .20 28.24 30.95 32.96 34.11 0.05 8.51 11.06 19.78 26.22 .80 .21 28.27 30.97 32.98 34.12 0.06 3.57 11.15 19.86 26.26 .79 .22 28.30 31.00 32.99 34.13 0.07 3.63 11.24 19.94 26.30 .78 .23 28.33 31.02 33.01 34.13 ' 0.08 3.69 11.32 20.02 26.35 .77 .24 28.36 31.05 33.02 34.14 0.09 3.75 11.41 20.10 26.39 .76 .25 28.39 31.07 33.04 34.15 0.10 3.81 11.50 20.18 26.43 .75 .26 28.42 31.09 33.05 34.15 0.11 3.87 11.59 20.26 26.47 .74 .27 28.45 31.12 33.06 34.16 0.12 3.93 11.68 20.34 26.51 .73 .28 28.48 31.14 33.08 34.16 0.14 4.00 11.76 20.42 26.55 .72 .29 28.51 31.17 33.09 34.17 0.15 4.06 11.85 20.50 26.59 .71 .30 28.54 31.19 33.11 34.18 0.16 4.12 11.94 20.58 26.63 .70 .31 28.57 31.21 33.12 34.19 0.17 4.18 12.03 20.66 26.67 .69 .32 28.60 31.23 33.14 34.19 0.19 4.25 12.12 20.74 26.71 .68 .:»:< 28.63 31.26 33.15 34.20 0.20 4.31 12.20 20.81 26.74 .67 .34 28.66 31.28 33.17 34.20 0.22 4.38 12.29 20.89 26.78 .66 \ .35 28.69 31.30 33.18 34.21 0.23 4.44 12.38 20.97 26.82 .65 .36 28.72 •1.81 33. 19 34.22 0.25 4.51 12.47 21.05 26.85 .64 .37 28.75 31.35 33.21 34.22 0.27 4.57 1*66 21.12 26.89 jga JK 28.78 31.38 •MM 34.23 0.28 4.64 12.65 21.20 86.92 .62 .39 28.81 31.40 33.24 34.23 0.30 4.70 12.74 21.27 26.96 .61 .40 28.84 31.42 33.25 34.v!l 0.32 4.77 12.83 21.35 26.9!) .60 .41 28.87 31.44 33.26 34.24 0.34 4.84 12.92 21.42 27.02 .:,!» .1-.' 28.90 31.46 93M 34.25 0.36 4.91 13.( II 21.50 ^7.0r> .58 .43 28.93 31.49 33.29 34.25 0.3H 4.97 13.10 84.67 27.0!) .57 .44 28.96 31.5.1 33.31 34.26 0.40 5.04 13.19 21.65 27.12 .56 .45 28.99 31.53 33.32 34.27 0.42 5.11 13.27 21.72 27.15 .55 .46 29.01 31.55 :!:i.:t:( 34.27 0.44 5.18 13.36 21.79 27.18 .54 .47 29.01 31.58 :(:{.:!.-) M.9I 0.47 5.25 13.45 21.87 •J7.-JI .53 .48 29.07 31.60 :<:t.:i(i MM 0.49 &99 j :<.;.! 21.94 27. •>:* .52 .49 2!). 10 31.62 33. 3H 34.29 0.52 5.39 LS.63 22.02 27.ii(i .51 .50 29.13 31.64 33.39 34.29 0.54 5.46 13.72 22.09 27.29 .50 Days, ir 16 IS 14 O 8 7 6 S Days. 184 TABLE (Continued.) Period, 27.3216794 days. TABLE XXIII. ARG. 1 8, Equation^ 14".0 [1 -f sin. (2*+* — «)]. Period, 9.873593 days. Days. 1O 11 13 13 O 1 3 3 4 Days. DilVS. .50 29.13 31.64 33.39 34.29 0.54 5.46 13.72 22.09 27.29 Pnya. .50 .51 29.16 31.66 33.40 34.29 0.57 5.53 13.81 22.16 27.32 .49 .52 29.19 31.68 33.41 34.30 0.59 5.60 13.90 22.23 27.34 .48 .53 29.21 31.70 33.43 34.30 0.62 5.68 13.99 22.31 27.37 .47 .54 29.24 31.72 33.44 34.31 0.64 5.75 14.08 22.38 27.39 .46 .55 29.27 31.75 33.46 34.31 0.67 5.82 14.16 22.45 27.42 .45 .56 29.30 31.77 33.47 34.31 0.70 5.89 14.25 22.52 27.44 .44 .57 29.32 31.79 33.48 34.32 0.73 5.96 14.34 22.59 27.47 .43 .58 29.35 31.81 33.50 34.32 0.75 6.04 14.43 22.66 27.49 .42 .59 29.38 31.83 33.51 34.33 0.78 6.11 14.52 22.73 27.52 .41 .60 29.41 31.85 33.52 34.33 0.81 6.18 14.61 22.80 ' 27.54 .40 .61 29.44 31.87 33.53 34.38 0.84 6.25 14.70 22.87 27.56 .39 .62 29.47 31.89 33.54 34.33 0.87 6.33 14.79 22.94 27.58 .38 .63 29.49 31.91 33.56 34.34 0.90 6.40 14.88 23.01 27.61 .37 .64 29.52 31.93 33.57 34.34 0.93 6.48 14.97 23.08 27.63 .36 .65 29.55 31.95 33.58 34.35 0.96 6.55 15.06 23.15 27.65 .35 .66 29.57 31.97 33.59 34.35 0.99 6.63 15.14 23.22 27.67 .34 .67 29.60 31.99 33.60 34.35 1.03 6.70 15.23 23.28 27.69 .33 .68 29.62 32.01 33.62 34.36 1.06 6.78 15.32 23.35 27.70 .32 .69 29.65 32.03 33.63 34.36 1.10 6.85 15.41 23.41 27.72 .31 .70 29.68 32.05 33.64 34.36 1.13 6.93 15.50 23.48 27.74 .30 .71 29.71 32.07 33.65 34.36 1.17 7.01 15.59 23.54 27.76 .29 .72 29.74 32.09 33.66 34.36 1.20 7.09 15.68 23.61 27.77 .28 .73 29.76 32.11 33.67 34.37 1.24 7.16 15.77 23.67 27.79 .27 .74 29.79 32.13 33.68 34.37 1.27 7.24 15.86 23.74 27.80 .26 .75 29.82 32.15 33.70 34.38 1.31 7.32 15.95 23.80 27.82 .25 .76 29.84 32.16 33.71 34.38 1.35 7.40 16.04 23.86 27.83 .24 .77 29.87 32.18 33.72 34.38 1.39 7.48 16.13 23.92 27.85 .23 .78 29.89 32.20 33.73 34.39 1.43 7.55 16.21 23.99 27.86 .22 .79 29.92 32.22 33.74 34.39 1.47 7.63 16.30 24.05 27.88 .21 .80 29.95 32.24 33.75 34.39 1.51 7.71 16.39 24.11 27.89 .20 .81 29.98 32.26 33.76 34.39 1.55 7.79 16.48 24.17 27.90 .19 .82 30.00 32.28 33.77 34.39 1.59 7.87 16.57 24.23 27.91 .18 .83 30.03 32.30 33.78 34.39 1.64 7.95 16.65 24.29 27.92 .17 .84 30.05 32.32 33.79 34.39 1.68 8.03 16.74 24.35 27.93 .16 .85 30.08 32.34 33.80 34.39 1.72 8.11 16.83 24.41 27.94 .15 .86 30.11 32.35 33.81 34.40 1.76 8.19 16.92 24.47 27.95 .14 .87 30.13 32.37 33.82 * 34.40 1.81 8.27 17.00 24.53 27.96 .13 .88 30.16 32.39 33.83 34.40 1.85 8.36 17.09 24.58 27.96 .12 .89 30.18 32.41 33.84 34.40 1.90 8.44 17.17 24.64 27.97 .11 .90 30.21 32.43 33.85 34.40 1.94 8.52 17.26 24.70 27.98 .10 .91 30.24 32.45 33.86 34.40 1.99 8.60 17.35 24.76 27.98 .09 .92 30.26 32.47 33.87 34.40 2.03 8.68 17.43 24.81 27.99 .08 .93 30.29 32.48 33.88 34.40 2.08 8.77 17.52 24.87 27.99 .07 .94 30.31 32.50 33.89 34.40 2.12 8.85 17.60 24.92 28.00 .06 .95 30.34 32.52 33.90 34.40 2.17 8.93 17.69 24.98 28.00 .05 .96 30.37 32.54 33.90 34.40 2.22 9.01 17.77 25.03 28.00 .04 .97 30.39 32.55 33.91 34.40 2.27 9.10 17.86 25.09 28.00 .03 .98 30.42 32.57 33.92 34.40 2.32 9.18 17.94 25.14 28.00 .02 .99 30.44 32.59 33.93 34.40 2.37 9.27 18.03 25.20 28.00 .01 1.00 30.47 32.61 33.94 34.40 2.42 9.35 18.11 25.25 28.00 .00 Days. 17 1G 15 14 9 8 7 6 5 Days. 185 TABLE XXIV. ARGUMENT 19, Equation = 12".8 [1 — sin. (3* — 2«)]. Period, 24.302196 days. Days. O 1 3 3 4 S 6 7 8 Days. Days .00 25.29 25.59 25.03 23.67 21.59 18.91 15.83 12.55 9.29 Pays. 1.00 .01 25.30 25.59 25.02 23.65 21.56 18.88 15.80 12.52 9.26 .99 .02 25.31 25.59 25.01 23.63 21.53 18.85 15.77 12.49 9.23 .98 • .03 25.31 25.58 25.00 23.62 21.51 18.82 15.73 12.45 9.20 .97 .04 25.32 25.58 24.99 23.60 21.48 18.79 15.70 12.42 9.16 .96 .05 25.33 25.58 24.98 23.58 21.46 18.76 15.67 12.39 9.13 .95 .06 25.33 25.58 24.97 23.56 21.44 18.74 15.63 12.35 9.10 .94 .07 25.34 25.58 24.96 23.54 21.41 18.71 15.60 12.32 9.06 .93 .08 25.35 25.57 24.95 23.53 21.39 18.68 15.56 12.28 9.03 :92 .09 25.35 25.57 24.94 23.51 21.36 18.65 15.53 12.25 9.00 .91 .10 25.36 25.57 24.93 23.49 21.34 18.62 15.50 12.22 8.97 .90 .11 25.37 25.57 24.92 23.47 21.32 18.59 15.47 12.19 8.94 .89 .12 25.38 25.57 24.91 23.45 21.29 18.56 15.44 • 12.16 8.91 .88 :13 25.38 25.56 24.90 23.44 21.27 18.53 15.41 12.12 8.88 .87 .14 25.39 25.56 24.89 23.42 21.24 18.50 15.37 12.09 8.84 .86 .15 25.39 25.56 24.88 23.40 21.22 18.47 15.34 12.06 8.81 .85 .16 25.40 25.55 24.86 23.38 21.20 18.44 15.31 12.02 8.78 .84 .17 25.40 25.55 24.85 23.36 21.17 18.41 15.27 11.99 8.74 .83 .18 25.41 25.55 24.84 23.35 21.15 18.38 15.24 11.95 8.71 .82 .19 25.41 25.54 24.83 23.33 21.12 18.35 15.21 11.92 8.68 .81 .20 25.42 25.54 24.82 23.31 21.10 18.32 15.18 11.89 8.65 .80 .21 25.42 25.54 24.81 23.29 21.08 18.29 15.15 11.86 8.62 .79 .22 25.43 25.54 24.80 23.27 21.05 18.26 15.12 11.82 8.59 .78 .23 25.43 25.53 24.79 23.25- 21.03 18.23 15.09 • 11.79 8.56 .77 .24 25.44 25.53 24.78 23.23 21.00 18.20 15.05 11.75 8.53 .76 .25 25.44 25.53 24.77 23.21 20.98 18.17 15.02 11.72 8.50 .75 .26 25.45 25.52 24.75 23.20 20.95 18.13 14.99 11.69 8.48 .74 .27 25.45 25.52 24.74 23.18 20.92 18.10 14.95 11.65 8.45 .73 .28 25.46 25.52 24.73 23.16 20.90 18.07 14.92 11.62 8.40 .72 .29 25.46 25.51 24.72 23.14 20.87 18.04 14.89 11.58 8.37 .71 .30 25.47 25.51 24.71 23.12 20.85 18.01 14.86 11.55 8.34 .70 .31 25.47 25.51 24.70 23.10 20.82 17.98 14.83 11.52 8.31 .69 .32 25.48 25.50 24.69 23.08 20.80 17.95 14.80 11.49 8.28 .68 .33 25.48 25.50 24.68 23.o<> 20.77 17.92 14.76 11.45 8.25 .67 .34 25.49 25.49 24.66 23.04 20.75 17.89 14.73 11.42 8.22 .66 .35 25.49 25.49 24.65 23.02 20.72 ' 17.86 14.70 - 11.39 8.19 .65 .36 25.50 25.49 24.64 23.00 20.69 17.82 14.66 11.35 8.15 .64 .37 25.50 25.48 24.63 22.98 20.67 17.79 14.63 11.32 8.12 .63 .38 25.50 25.48 24.62 22.96 20.64 17.76 14.59 11.28 8.09 .62 .39 25.51 25.47 24.60 22.94 20.62 17.73 14.56 11.25 8.06 .61 .40 25.51 25.47 24.59 22.92 20.59 17.70 14.53 11.22 8.03 .60 .41 25.51 25.46 24.58 22.90 20.56 17.67 14.50 11.19 8.00 .59 .42 25.52 25.46 24.57 22.88 20.53 17.64 14.47 11.16 7.97 .58 .43 25.52 25.45 24.55 22.86 20.51 17.61 14.43 11.12 7.94 .57 .44 25.52 25.45 24.54 22.84 20.48 17.58 14.40 11.09 7.91 .56 .45 25.53 25.44 24.52 22.82 20.46 17.55 14.37 11.06 7.88 .55 .46 25.53 25.44 24.51 22.79 20.43 17.52 14.33 11.02 7.85 .54 .47 25.53 25.43 24.49 22.77 20.40 17.49 14.30 10.99 7.82 .53 .48 25.54 25.43 24.48 22.75 20.38 17.46 14.26 10.95 7.79 .52 .49 25.54 25.42 24.46 22.73 20.35 17.43 14.23 10.92 7.76 .51 .50 25.54 25.42 24.45 22.71 20.32 17.40 14.20 10.89 7.73 .50 Days. 35 34 33 33 31 3O 19 18 17 Days. TABLE XXIV. ARGUMENT 19. Equation = 13".8 [1 — sin. (3x — 2t)]. Period, 24.302196 days. Days. O 1 2 3 4 5 6 7 8 Days. Davs .50 25.54 25.42 24.45 22.71 20.32 17.40 14.20 10.89 7.73 Days. .50 .51 25.54 25.41 24.44 22.69 20.29 17.37 14.17 10.86 7.70 .49 .52 25.55 26.41 24.42 22.67 20.26 17.34 14.14 10.83 7.67 .48 .53 25.55 25.40 24.41 22.65 20.24 17.31 14.10 10.80 7.64 .47 .54 25.55 25.40 24.39 22.63 20.21 17.28 14.07 10.76 7.61 .46 .55 25.55 25.39 24.38 22.61 20.18 17.25 14.04 10.73 7.58 .45 .56 25.56 25.39 24.37 22.58 20.15 17.21 14.00 10.70 7.55 .44 .57 25.56 25.38 24.35 22.56 20.12 17.18 13.97 10.66 7.52 .43 .58 25.56 25.37 24.34 22.54 20.10 17.15 13.93 10.63 7.49 .42 .59 25.56 25.37 24.32 22.52 20.07 17.12 13.90 10.60 7.46 .41 .60 25.57 25.36 24.31 22.50 20.04 17.09 13.87 10.57 7.43 .40 .61 25.57 25.35 24.29 22.48 20.01 17.06 13.84 10.54 7.40 .39 .62 25.57 25.35 24.28 22.46 19.98 17.03 13.81 10.51 7.37 .38 .63 25.57 25.34 24.26 22.43 19.95 17.00 13.77 10.48 7.34 .37 .64 25.58 25.33 24.25 22.41 19.93 16.97 13.74 10.44 7.31 .36 .65 25.58 25.33 24.23 22.39 19.90 16.94 13.71 10.41 7.28 .35 .66 25.58 25.32 24.22 22.37 19.87 16.90 13.67 10.38 7.25 .34 .67 25.58 25.31 24.20 22.35 19.85 16.87 13.64 10.34 7.22 .33 .68 25.59 25.31 24.19 22.32 19.82 16.84 13.60 10.31 7.19 .32 .69 25.59 25.30 24.17 22.30 19.79 16.81 13.57 10.28 7.16 .31 .70 25.59 25.29 24.16 22.28 19.76 16.78 13.54 10.25 7.13 .30 .71 25.59 25.28 24.14 22.26 19.73 16.75 13.51 10.22 7.10 .29 .72 25.59 25.27 24.13 22.24 19.70 16.72 13.48 10.19 7.07 .28 .73 25.59 25.27 24.11 22.21 19.67 16.69 13.44 10.16 7.04 .27 .74 25.60 25.26 24.10 22.19 19.65 16.66 13.41 10.12 7.01 .26 .75 25.60 25.25 24.08 22.17 19.62 16.63 13.38 10.09 6.98 .25 .76 25.60 25.24 24.07 22.15 19.59 16.59 13.34 10.06 6.95 .24 .77 25.60 25.23 24.05 22.13 19.57 16.56 13.31 10.02 6.92 .23 .78 25.60 25.23 24.04 22.10 19.54 16.53 13.27 9.99 6.89 .22 .79 25.60 25.22 24.02 22.08 19.51 16.50 13.24 9.96 6.86 .21 .80 25.60 25.21 24.01 22.06 19.48 16.47 13.21 9.93 6.83 .20 .81 25.60 25.20 23.99 22.04 19.45 16.44 13.18 9.90 6.80 .19 .82 25.60 25.19 23.98 22.02 19.42 16.41 13.15 9.87 6.77 .18 .83 25.60 25.18 23.96 21.99 19.39 16.38 13.11 9.84 6.74 .17 .84 25.60 25.18 23.95 21.97 19.37 16.34 13.08 9.80 6.71 .16 .85 25.60 25.17 23.93 21.95 19.34 16.31 13.05 9.77 6.68 .15 .86 25.60 25.16 23.92 21.92 19.31 16.28 13.01 9.74 6.66 .14 .87 25.60 25.15 23.90 21.90 19.29 16.24 12.98 9.70 6.63 .13 .88 25.60 25.14 23.88 21.88 19.26 16.21 12.94 9.67 6.60 .12 .89 25.60 25.13 23.87 21.85 19.23 16.18 12.91 9.64 6.57 .11 .90 25.60 25.12 23.85 21.83 19.20 16.15 12.88 9.61 6.54 .10 .91 25.60 25.11 23.83 21.81 19.17 16.12 12.85 9.58 6.51 .09 .92 25.60 25.10 23.82 21.79 19.14 16.09 12.82 9.55 6.48 .08 .93 25.60 25.10 23.80 21.76 19.11 16.06 12.78 9.52 6.45 .07 .94 25.60 25.09 23.78 21.74 19.08 16.02 12.75 9.48 6.42 .06 .95 25.60 25.08 23.76 21.72 19.05 15.99 12.72 9.45 6.39 .05 .96 25.60 25.07 23.74 21.69 19.03 15.96 12.68 9.42 6.37 .04 .97 25.59 25.06 23.73 21.67 19.00 15.92 12.65 9.38 6.34 .03 .98 25.59 25.05 23.71 21.65 18.97 15.89 12.61 9.35 6.31 .02 .99 25.59 25.04 23.69 21.62 18.94 15.86 12.58 9.32 6.28 .01 1.00 25.59 25.03 23.67 21.59 18.91 15.83 12.55 9.29 6.25 .00 Days. 25 34 23 22 31 30 19 18 17 Days. 187 TABLE XXIV. (Continued.) Period, 24.302196 days. TABLE XXV. ARG. 20. Equation == 9".6 [1 + sin. (2x— z)]. Period, 14.317313 days. Days. 9 10 11 19 O 1 a 3 4 Days. Daya .00 6.25 3.66 1.67 0.43 6.65 0.02 1.21 4.00 7.84 I MM 1.00 .01 6.22 3.64 1.65 0.42 0.64 0.02 1.23 4.03 7.88 .99 .02 6.19 3.62 1.64 0.41 0.62 0.03 1.25 4.07 7.92 .98 .03 6.16 3.59 1.62 0.40 0.61 0.03 1.27 4.10 7.96 .97 .04 6.14 3.57 1.61 0.40 0.59 0.04 1.30 4.14 8.01 .96 .05 6.11 3.54 1.59 0.39 0.58 0.04 1.32 . 4.17 8.05 .95 .06 6.08 3.52 1.57 0.38 0.57 0.04 1.34 4.21 8.09 .94 .07 6.06 3.50 1.56 0.38 0.55 0.05 1.37 4.25 8.14 .93 .08 6.03 3.47 1.54 0.37 0.54 0.05 1.39 4.28 8.18 .92 .09 6.00 3.45 1.53 0.36 0.52 0.06 1.41 4.32 8.22 .91 .10 5.97 3.43 1.51 0.35 0.51 0.06 1.43 4.35 8.26 .90 .11 5.94 3.41 1.49 0.34 0.50 0.07 1,45 4.39 8.30 .89 .12 5.91 3.39 1.48 0.33 0.48 0.07 1.47 4.42 8.34 .88 .13 5.88 3.37 1.46 0.32 0.47 0.08 1.50 4.46 8.38 .87 .14 5.86 3.34 1.45 0.32 0.45 0.08 1.52 4.49 8.43 .86 .15 5.83 3.32 1.43 0.31 0.44 0.08 1.54 4.53 8.47 .85 .16 5.80 3.30 1.42 0.30 0.43 0.09 1.57 4.57 8.51 .84 .17 5.78 3.27 1.41 0.30 0.42 0.09 1.59 4.60 8.56 .83 .18 5.75 3.25 1.39 0.29 0.40 0.10 1.62 4.64 8.60 .82 .19 5.72 3.23 1.38 0.28 0.39 0.11 1.64 4.67 8.64 .81 .20 5.69 3.21 1.36 0.27 0.38 0.12 1.66 4.71 8.68 .80 .21 &.66 3.19 1.35 0.26 0.37 0.13 1.68 4.75 8.72 .79 .22 5.63 3.17 1.33 0.26 0.36 0.14 1.71 4.78 8.76 .78 .23 5.61 3.15 1.32 0.25 0.35 0.14 1.73 4i82 8.80 .77 .24 5.58 3.12 1.30 0.25 0.34 0.15 1.76 4.85 8.85 .76 .25 5.55 3.10 1.29 0.24 0.32 0.16 1.78 4.89 8.89 .75 .26 5.53 3.08 1.28 0.23 0.31 0.17 1.81 4.93 8.93 .74 .27 5.50 3.05 1.26 0.23 0.30 0.17 1.84 4.96 8.98 .73 .28 5.48 3.03 1.25 0.22 0.29 0.18 1.86 5.00 9.02 .72 .29 5.45 3.01 1.23 0.22 0.28 0.19 1.89 5.03 9.06 .71 .30 5.42 2.99 1.22 0.21 0.27 0.20 1.91 5.07 9.10 .70 .31 5.39 2.97 1.21 0.20 0.26 0.21 1.94 5.11 9.14 .69 .32 5.36 2.95 1.19 0.20 0.25 0.22 1.96 5.15 9.18 .68 .33 5.34 2.93 1.18 0.19 0.24 0.23 1.99 5.18 9.22 .67 .34 5.31 2.91 1.16 0.19 0.23 0.24 2.01 5.22 9.27 .66 .35 5.28 2.88 1.15 0.18 0.22 0.24 2.04 5.25 9.31 .65 .36 5.26 2.86 1.14 0.18 0.22 0.25 2.07 5.29 9.35 .64 .37 5.23 2.84 1.12 0.18 0.21 0.26 2.09 5.33 9.40 .63 .38 5.21 2.82 1.11 0.17 0.20 0.27 2.12 5.36 9.44 .62 .39 5.18 2.80 1.09 0.17 0.19 0.28 2.14 5.40 9.48 .61 .40 5.15 2.78 1.08 0.16 0.18 0.29 2.17 5.44 9.52 .60 .41 5.12 2.76 1.07 0.15 0.17 0.30 2.20 5.48 9.56 .59 .42 5.10 2.74 1.05 0.15 0.16 0.31 2.22 5.52 9.60 .58 .43 5.07 2.72 1.04 0.14 0.16 0.32 2.25 5.55 9.64 .57 .44 5.05 2.70 1.03 0.14 0.15 0.33 2.27 5.59 9.69 .56 .45 5.02 2.68 1.01 0.13 0.14 0.34 2.29 5.63 9.73 .55 .46 4.99 2.66 1.00 0.13 0.13 0.36 2.32 5.67 9.77 .54 .47 4.97 2.64 0.99 0.13 0.13 0.37 2.34 5.70 9.81 .53 .48 4.94 2.62 0.97 0.12 0.12 0.38 2.37 5.74 9.86 .52 .49 4.92 2.60 0.96 0.12 0.12 0.39 2.41 5.78 9.90 .51 .50 4.89 2.58 0.95 0.11 0.11 0.40 2.44 5.82 9.94 .50 Days. 16 15 14 13 IS 14 13 12 11 Days. 188 TABLE XXIV. (Continued.) Period, 24.302196 days. TABLE XXV. ARG. 2O. Equation = 9".6 [1 -f- sin. (2* — «)]. Period, 14.317313 days. Days. 9 10 11 12 o 1 2 3 4 Days. Days (J II fl (( „ l( II .. d Days. .50 4.89 2.58 0.95 0.11 0.11 0.40 2.44 5.82 9.94 .50 .51 4.86 2.56 0.94 0.11 0.11 0.41 2.47 5.86 9.98 .49 .52 4.84 2.54 0.93 0.10 0.10 0.42 2.50 5.90 10.02 .48 .53 4.81 2.52 0.92 0.10 0.10 0.44 2.53 5.94 10.06 .47 .54 4.79 2.50 0.90 0.09 0.09 0.45 2.55 5.98 10.11 .46 .55 4.76 2.48 0.89 0.09 0.08 0.46 2.58 6.01 10.15 .45 .56 4.73 2.47 0.88 0.09 0.08 0.48 2.61 6.05 10.19 .44 .57 4.71 2.45 0.86 0.08 0.07 0.49 2.63 6.09 10.24 .43 .58 4.68 2.43 0.85 0.08 0.07 0.51 2.66 6.13 10.28 .42 .59 4.66 2.41 0.84 0.07 0.06 0.52 2.69 6.17 10.32 .41 .60 4.63 2.39 0.83 0.07 0.06 0.53 2.72 6.21 10.36 .40 .61 4.60 2.37 0.82 0.07 0.06 0.54 2.75 6.25 10.40 .39 .62 4.58 2.35 0.81 0.07 0.05 0.56 2.78 6.29 10.44 .38 .63 4.55 2.33 0.80 0.06 0.05 0.57 2.81 6.33 10.48 .37 .64 4.53 2.31 0.79 0.06 0.04 0.59 2.84 6.37 10.52 .36 .65 4.50 2.29 0.77 0.06 0.04 0.60 2.87 6.41 10.57 .35 .66 4.48 2.28 0.76 0.05 0.04 0.62 2.90 6.45 10.61 .34 .67 4.46 2.26 0.75 0.05 0.03 0.64 2.93 6.49 10.65 .33 .68 4.43 2.24 0.74 0.04 0.03 0.65 2.96 6.53 10.69 .32 .69 4.41 2.22 0.73 0.04 0.02 0.67 2.99 6.57 10.73 .31 .70 4.38 2.20 0.72 0.04 0.02 0.68 3.02 6.61 10.77 .30 .71 4.35 2.18 0.71 0.04 0.02 0.70 3.05 6.65 10.81 .29 .72 4.33 2.16 0.70 0.04 0.02 0.71 3.08 6.69 10.85 .28 .73 4.30 2.14 0.69 0.03 0.01 0.73 3.11 6.73 10.89 .27 .74 4.28 2.13 0.68 0.03 0.01 0.74 3.14 6.77 10.94 .26 .75 4.25 2.11 0.67 0.03 0.01 0.76 3.17 6.81 10.98 .25 .76 4.23 2.09 0.66 0.02 0.01 0.78 3.21 6.85 11.02 .24 .77 4.21 2.08 0.65 0.02 0.00 0.79 3.24 6.8i, 11.07 .23 .78 4.18 2.06 0.64 0.01 0.00 0.81 3.27 6.93 11.11 .22 .79 4.16 2.04 0.63 0.01 0.00 0.82 3.30 6.97 11.15 .21 .80 4.13 2.02 0.62 0.01 0.00 0.84 3.33 7.01 11.19 .20 .81 4.11 2.00 0.61 0.01 0.00 0.86 3.36 7.05 11.23 .19 .82 4.08 1.98 0.60 0.01 0.00 0.8S 3.39 7.09 11.27 .18 .83 4.06 1.96 0.59 0.01 0.00 0.8'J 3.43 7.13 11.31 .17 .84 4.03 1.95 0.58 0.01 0.00 0.91 3.46 7.17 11.36 .16 .85 4.01 1.93 0.57 0.01 0.00 0.92 3.49 7.21 11.40 .15 .86 3.99 1.91 0.56 0.00 0.00 0.94 3.53 7.26 11.44 .14 .87 3.96 1.90 0.55 0.00 0.00 0.96 3.56 7.30 11.49 .13 .88 3.94 irss 0.54 0.00 0.00 0.97 3.60 7.34 11.53 .12 .89 3.91 1.86 0.53 0.00 0.00 0.99 3.63 7.38 11.57 .11 .90 3.89 1.84 0.52 0.00 0.00 1.01 3.66 7.42 11.61 .10 .91 3.87 1.82 0.51 0.00 0.00 1.03 3.69 7.46 11.65 .09 .92 3.85 1.80 0.50 0.00 0.00 1.05 3.73 7.50 11.69 .08 .93 3.82 1.79 0.49 0.00 0.00 1.07 3.76 7.54 11.73 .07 .94 3.80 1.77 0.48 0.00 0.01 1.09 3.80 7.59 11.78 .06 .95 3.77 1.75 0.47 0.00 0.01 1.11 3.83 7.63 11.82 .05 .96 3.75 1.74 0.47 0.00 0.01 1.13 3.86 7.67 11.86 .04 .97 3.73 1.72 0.46 0.00 0.01 1.15 3.90 7.71 11.91 .03 .98 3.70 1.71 0.45 0.00 0.02 1.17 3.93 7.76 11.95 .02 .99 3.68 1.69 0.44 0.00 0.02 1.19 3.97 7.80 11.99 .01 1.00 3.66 1.67 0.43 0.00 0.02 1.21 4.00 7.84 12.03 .00 Days. 16 15 14 13 IS 14 13 13 1 1 Days. • 189 TABLE XXV. (Continued.) Period, 14.317313 days TABLE XXVI. ARG. 21. Equation = 9".2 [1 — sin. (2z-f-z — 2<)]. Period, 131.671123 days. Days. S 6 7 Days. Days. O 10 2O 30 4O 50 CM Days. Days. .00 12.03 15.73 18.29 llaVS. 1.00 Diys 0.0 18.22 18.04 15.89 12.25 7.92 3.88 1'.'02 Itava 10.0 .01 12.07 15.76 18.31 .99 0.1 18.23 18.03 15.86 12.21 7.88 3.85 1.00 9.9 .02 12.11 15.79 18.33 .98 0.2 18.24 18.02 15.83 12.17 7.83 3.81 0.98 9.8 .03 12.15 15.83 18.34 .97 0.3 18.25 18.00 15.80 12.12 7.79 3.78 0.96 9.7 .04 12.19 15.86 18.36 .96 0.4 18.25 17.99 15.77 12.08 7.74 3.74 0.94 9.6 .05 12.24 15.89 18.38 .95 0.5 18.26 17.98 15.74 12.04 7.70 3.71 0.92 9.5 .06 12.28 15.92 18.39 .94 0.6 18.27 17.96 15.71 12.00 7.66 3.67 0.91 9.4 .07 12.32 15.96 18.41 .93 0.7 18.28 17.95 15.68 11.96 7.61 3.64 0.89 9.3 .08 12.36 15.99 18.42 .92 0.8 18.28 17.94 15.65 11.91 7.57 3.60 0.87 9.2 .09 12.40 16.02 18.44 .91 0.9 18.29 17.92 15.62 11.87 7.52 3.57 0.85 9.1 .10 12.44 16.05 18.46 .90 1.0 18.30 17.91 15.59 11.83 7.48 3.53 0.83 9.0 .11 12.48 16.08 18.48 .89 1.1 18.30 17.89 15.56 11.79 7.44 3.50 O.N1 8.9 .12 12.52 16.11 18.49 .88 1.2 18.31 17.88 15.53 11.75 7.39 3.46 0.79 8.8 .13 12.56 16.14 18.51 .87 1.3 18.32 17.86 15.50 11.70 7.35 3.43 0.78 8.7 .14 12.60 16.17 18.52 .86 1.4 18.32 17.85 15.46 11.66 7.31 3.39 0.76 8.6 .15 12.64 16.21 18.54 .85 1.5 18.33 17.83 15.43 11.62 7.26 3.36 0.74 8.5 .16 12.68 16.24 18.55 .84 1.6 18.33 17.82 15.40 11.58 7.22 3.33 0.73 8.4 .17 12.72 16.27 18.56 .83 1.7 18.34 17.80 15.37 11.54 7.18 3.29 0.71 8.3 .18 12.76 16.30 18.58 .82 1.8 18.35 17.78 15.33 11.49 7.13 3.26 0.69 8.2 .19 12.80 16.33 18.59 .81 1.9 18.36 17.76 15.30 11.45 7.09 3.22 0.68 8.1 .20 12.84 16.36 18.61 .80 2.0 18.36 17.77 15.27 11.41 7.05 3.19 0.66 8.0 .21 12.88 16.39 18.62 .79 2.1 18.36 17.75 15.24 11.37 7.01 3.16 0.65 7.9 .22 12.92 16.42 18.64 .78 2.2 18.36 17.74 15.20 11.32 6.97 3.12 0.63 7.8 .23 12.96 16.45 18.65 .77 2.3 18.37 17.72 15.17 11.28 6.92 3.09 0.62 7.7 .24 13.00 16.48 18.67 .76 2.4 18.37 17.70 15.13 11.24 6.88 3.06 0.60 7.6 .25 13.04 16.51 18.68 .75 2.5 18.37 17.69 15.10 11.19 6.84 3.02 0.59 7.5 .26 13.07 16.53 18.69 .74 2.6 18.38 17.67 15.07 11.15 6.80 2.99 0.57 7.4 .27 13.11 16.56 18.71 .73 2.7 18.38 17.65 15.03 11.11 6.75 2.96 0.56 7.:t .28 13.15 16.59 18.72 .72 2.8 18.38 17.64 15.00 11.06 6.71 2.92 0.54 7.2 .29 13.19 16.62 18.74 .71 2.9 18.39 17.62 14.96 11.02 6.67 2.89 0.53 7.1 .30 13.23 16.65 18.75 .70 3.0 18.39 17.60 14.93 10.98 6.63 2.86 0.51 7.0 .31 13.27 16.68 18.76 .69 3.1 18.39 17.58 14.89 10.94 6.59 2.83 0.50 6.9 .32 13.31 16.71 18.77 .68 :i.2 18.39 17.56 14.86 10.89 6.55 2.80 0. IS (i.s .33 13.35 16.74 18.79 .67 :{.:< 18.39 17.54 14.89 10.85 6.50 2.76 0.47 6.7 .34 13.38 16.76 18.80 .66 3.4 18.40 17.53 14.79 10.81 6.46 2.73 0.46 6.6 Jfl 13.42 16.79 18.81 .65 3.5 18.40 17.51 14.75 10.76 6.42 2.70 0.44 6.5 .36 13.46 16.82 18.82 .64 3.6 18.40 17.49 14.72 10.72 6.3H 2.67 0.43 6.4 .37 13.49 16.84 18.84 .63 3.7 is. 10 17.47 14.68 10.67 (i.:t:( 2.64 0.42 <;.;! .38 13.53 16.87 18.85 .62 3.8 is. Ml 17.45 14.65 l().(i:i 8.28 2.61 0.40 6.2 .39 13.57 16.90 18.86 .61 3.9 18.40 17.43 14.61 10.5H 6.25 2.58 0.88 6.1 .40 13.61 16.93 18.87 .60 4.0 18.40 17.41 14.58 10.54 6.21 2.55 0.3N 6.0 .41 13.65 16.96 18.88 .59 4.1 is. in 17.39 14.54 10.49 6.17 2.52 0.87 5.9 .42 18.69 16.98 is.sfi .58 4.2 18.40 17.37 11.51 10.45 6.13 2.49 0.36 5.8 .43 13.72 17.01 18.90 .57 4.3 1840 17.35 14.47 10.41 6.09 2.46 0.34 5.7 .44 13.76 17.03 18.91 .56 4.4 18.40 17.33 14.44 10.36 6.04 2.43 0.33 5.6 46 13.80 17.06 18.92 .55 4.5 18.40 17.31 14.40 10.32 6.00 2.40 0.32 5.5 .46 13.83 17.0!) 18.98 .54 4.6 18.40 17.29 14.37 JO.'JN 5.96 2.:n OJ1 5.4 ,17 13.87' 17.11 18.94 .58 4.7 18.10 17.26 1 l :t:t 1(1.23 5.93 2.35 0.30 5.3 .48 13.90 17.14 18.95 .52 4.8 IH.W 17.24 1 1.:«) 10.19 6.88 2.:« 0.29 5.2 .49 13.94 17.16 18.96 .51 4.9 18.39 17.22 i i -ji; 10.15 5.N 1 229 0.28 5.1 .50 13.!»s 17.19 18.97 .50 5.0 18.39 17.20 14.22 10.11 5.80 2.26 0.27 5.0 Days. 1O 9 8 Days. Days. 13O 130 110 100 00 8O 7O Days. 190 TABLE XXV. (Continued.) Period, 14.317313 days TABLE XXVI. ARG. 21. Equation = 9".2 [ 1 — sin. (2x -f z — 2<)] . Period, 131.671123 days. Days . 5 6 7 1 )ays. Days 0 10 20 30 40 5O CO I )ays. Days. .50 13.98 17.19 18.97 I);iys. .50 Days. 5.0 18.39 .17.20 II 14.22 10.11 5.80 2.26 0.27 Davs 5.0 .51 14.02 17.22 18.98 .49 5.1 18.39 17.18 14.18 10.06 5.76 2.23 0.26 4.9 .52 14.06 17.24 18.99 .48 5.2 18.39 17.15 14.15 10.02 5.72 2.20 0.25 4.8 .53 14.09 17.27 19.00 .47 5.3 18,38 17.13 14.11 9.97 5.68 2.18 0.24 4.7 .54 14.13 17.29 19.00 .46 5.4 18.38 17.11 14.07 9.93 5.64 2.15 0.23 4.6 .55 14.17 17.32 19.01 .45 5.5 18.38 17.08 14.04 9.88 5.60 2.12 0.22 4.5 .56 14.20 17.34 19.02 .44 5.6 18.37 17.06 14.00 9.84 5.56 2.09 0.21 4.4 .57 14.24 17.36 19.03 .43 5.7 18.37 17.04 13.96 9.79 5.52 2.07 0.20 4.3 .58 14.27 17.39 19.03 .42 5.8 18.37 17.01 13.93 9.7f, 5.48 2.04 0.19 4.2 .59 14.31 17.41 19.04 .41 5.9 18.36 16.99 13.89 9.71 5.44 2.01 0.18 4.1 .60 14.35 17.44 19.05 .40 6.0 18.36 16.97 13.85 9.67 5.40 1.98 0.17 4.0 .61 14.39 17.46 19.06 .39 6.1 18.36 16.95 13.81 9.62 5.36 1.95 0.16 3.9 .62 14.42 17.49 19.06 .38 6.2 18.35 16.92 13.77 9.58 5.32 1.93 0.15 3.8 .63 14.46 17.51 19.07 .37 6.3 18.35 16.90 13.74 9.53 5.28 1.90 0.14 3.7 .64 14.49 17.54 19.07 .36 6.4 18.35 16.87 13.70 9.49 5.24 1.87 0.14 3.6 .65 14.53 17.56 19.08 .35 6.5 18.34 16.85 13.66 9.44 5.20 1.85 0.13 3.5 .66 14.57 17.58 19.09 .34 6.6 18.34 16.82 13.62 9.40 5.17 1.82 0.12 3.4 .67 14.60 17.61 19.09 .33 6.7 18.33 16.80 13.58 9.36 5.13 1.79 0.11 3.3 .68 14.64 17.63 19.10 .32 6.8 18.33 1677 13.54 9.32 5.09 1.77 0.11 3.2 .69 14.67 17.66 19.10 .31 6.9 18.32 16.75 13.50 9.27 5.05 1.74 0.10 3.1 .70 14.71 17.68 19.11 .30 7.0 18.32 16.72 13.46 9.23 5.01 1.71 0.09 3.0 .71 14.75 17.70 19.12 .29 7.1 18.31 16.70 13.42 9.19 4.97 1.69 0.09 2.9 .72 14.78 17.72 19.12 .28 7.2 18.30 16.67 13.38 9.14 4.93 1.66 0.08 2.8 .73 14.82 17.75 19.13 .27 7.3 18.30 16.65 13.34 9.10 4.89 1.64 0.08 2.7 .74 14.85 17.77 19.13 .26 7.4 18.29 16.62 13.30 9.06 4.85 1.61 0.07 2.6 .75 14.89 17.79 19.14 .25 7.5 18.28 16.60 13.26 9.01 4.82 1.59 0.07 2.5 .76 14.92 17.81 19.14 .24 7.6 18.28 16.57 13.22 8.97 4.78 1.56 0.0^ 2.4 .77 14.95 17.84 19.15 .23 7.7 18.27 16.54 13.18 8.93 4.74 1.54 O.Ou 2.3 .78 14.99 17.86 19.15 .22 7.8 18.26 16.52 13.14 8.88 4.70 1.51 0.05 2.2 .79 15.02 17.88 19.16 .21 7.9 18.26 16.49 13.10 8.84 4.66 1.49 0.05 2.1 .80 15.06 17.90 19.16 .20 8.0 18.25 16.46 13.06 8.80 4.62 1.46 0.04 '2.0 .81 15.09 17.92 19.16 .19 8.1 18.24 16.43 13.02 8.76 4.58 1.44 0.04 1.9 .82 15.13 17.94 19.17 .18 8.2 18.23 16.41 12.98 £.71 4.5 1 1.41 0.03 1.8 .83 15.16 17.96 19.17 .17 8.3 18.22 10.38 12.i)4 8.67 4.51 1.39 0.03 1.7 .84 15.20 17.98 19.17 .16 8.4 18.21 16.35 12.90 8.62 4.47 1.37 0.03 1.6 .85 15.23 18.00 19.18 .15 8.5 18.20 16.32 12.86 8.58 4.43 .34 0.02 1.5 .86 15.26 18.02 19.18 .14 8.6 18.19 16.30 12.82 8.54 4.39 .32 0.02 1.4 .87 15.30 18.04 19.18 .13 8.7 18.18 16.27 12.78 8.49 4.35 .30 0.02 1.3 .88 15.33 18.06 19.19 .12 8.8 18.17 16.24 12.74 8.45 4.32 .27 0.02 1.2 .89 15.37 18.08 19.19 .11 8.9 18.16 16.21 12.70 8.40 4.28 .25 0.01 1.1 .90 15.40 18.10 19.19 .10 9.0 18.15 16.18 12.66 8.36 4.24 1.23 0.01 1.0 .91 15.43 18.12 19.19 .09 9.1 18.14 16.15 12.62 8.31 4.20 1.21 0.01 0.9 .92 15.46 18.14 19.19 .08 9.2 18.13 16.12 12.58 8.27 4.17 1.19 0.01 0.8 .93 15.50 18.16 19.19 .07 9.3 18.12 16.10 12.54 8.23 4.13 1.16 0.01 0.7 .94 15.53 18.18 19.20 .06 9.4 18.11 16.07 12.50 8.18 4.09 1.14 0.00 0.6 .95 15.57 18.20 19.20 .05 9.5 18.10 16.04 12.46 8.14 4.06 1.12 0.00 0.5 .96 15.60 18.21 19.20 .04 9.6 18.09 16.01 12.41 8.10 4.02 1.10 0.00 0.4 .97 15.63 18.23 19.20 .03 9.7 18.07 15.98 12.37 8.05 3.99 1.08 0.00 0.3 .98 15.67 18.25 19.20 .02 9.8 18.06 15.95 12.33 8.01 3.95 1.06 0.00 0.2 .99 15.70 18.27 19.20 .01 9.9 18.05 15.92 12.29 7.96 3.92 1.04 0.00 0.1 1.00 15.73 18.29 19.20 .00 10.0 18.04 15.89 12.25 7.92 3.88 1.02 0.00 0.0 Days . 1O 9 8 3ays. Days . 13O 130 no 1OO 9O SO 7O 1 Days. 191 TABLE XXVII. ARGUMENT 22. Equation = 8".l — 0".4 sin. (t — z) -f- 7' .8 sin. 2 (t — z). Period, 32.128086 days. Days. O 1 2 3 4 S 6 7 8 9 Days. .00 0.02 6.78 2.59 5.23 8.30 11.33 13.89 15.59 16.18 15.59 .01 0.02 0.79 2.62 5.26 8.33 11.36 13.92 15.60 16.18 15.58 .02 0.03 0.80 2.64 5.29 8.36 11.39 13.94 15.62 16.18 15.56 .03 0.03 0.82 2.66 5.32 8.39 11.42 13.96 15.63 16.18 15.55 .04 0.03 0.83 2.68 5.35 8.42 11.45 13.98 15.64 16.18 15.54 .05 0.03 0.84 2.70 5.38 8.45 11.48 14.00 15.65 16.18 15.53 .06 0.03 0.86 2.73 5.41 8.48 11.51 14.02 15.66 16.18 15.52 .07 0.04 0.87 2.75 5.44 8.51 11.53 14.04 15.67 16.18 15.51 .08 0.04 0.89 2.78 5.47 8.54 11.56 14.06 15.69 16.18 15.49 .09 0.04 0.90 2.80 5.50 8.58 11.59 14.08 15.70 16.18 15.48 .10 0.05 0.91 2.82 5.53 8.61 11.62 14.11 15.71 16.18 15.47 .11 0.05 0.93 2.85 5.56 8.64 11.65 14.13 15.72 16.17 15.45 .12 0.05 0.94 2.87 5.59 8.67 11.67 14.15 15.73 16.17 15.44 .13 0.06 0.96 2.90 5.62 8.70 11.70 14.17 15.74 16.17 15.43 .14 0.06 0.97 2.92 5.65 8.73 11.73 14.19 15.75 16.17 15.41 .15 0.06 0.99 2.95 5.68 8.76 11.76 14.21 15.76 16.17 15.40 .16 0.07 1.00 2.97 5.71 8.79 11.79 14.23 15.77 16.17 15.39 .17 0.07 1.02 3.00 5.74 8.82 11.81 14.25 15.78 16.17 15.87 .18 0.08 1.03 3.02 5.77 8.85 11.84 14.27 15.79 16.16 15.36 .19 0.08 1.05 3.05 5.80 8.89 11.87 14.29 15.80 16.16 15.35 .20 0.08 1.06 3.07 5.83 8.92 11.90 14.31 15.81 16.16 15.33 .21 0.09 1.08 3.10 5.86 8.95 11.93 14.33 15.81 16.16 15.32 .2-2 0.09 1.09 3.12 5.89 8.98 11.95 14.35 15.82 16.15 15.31 .23 0.10 1.11 3.15 5.92 9.01 11.98 14.37 15.83 16.15 15.29 .24 0.10 1.12 3.17 5.95 9.04 12.01 14.39 15.84 16.15 15.28 .25 0.11 1.14 3.20 5.98 9.07 12.04 14.41 15.85 16.15 15.26 .26 0.11 1.15 8.89 6.01 9.10 12.07 14.43 15.86 16.15 15.25 .27 0.12 1.17 3.25 6.04 9.13 12.09 14.45 15.87 16.14 15.23 .28 0.12 1.18 3.27 6.07 9.16 12.12 14.47 15.87 16.14 15.22 .29 0.13 1.26 3.30 6.10 9.20" 12.15 14.48 15.88 16.14 15.20 .30 0.13 1.22 3.32 6.13 9.23 12.17 14.50 15.89 16.13 15.19 .31 0.14 1.23 3.35 6.16 9.26 12.20 14.52 15.90 16.13 15.17 .32 0.14 1.25 3.37 6.19 9.29 12.23 14.54 15.90 16.13 15.16 .:{:t 0.15 1.26 .'(. 10 6.22 9.32 12.25 14.56 15.91 16.12 15.14 .34 0.15 1.28 3.42 6.25 9.35 12.28 14.58 15.92 16.12 15.13 .35 0.16 1.30 3.45 6.28 9.38 12.31 14.60 15.93 16.11 15.11 .36 0.16 1.31 3.47 6.31 9.41 12.33 14.62 15.94 16.11 15.10 .37 0.17 1.33 3.50 6.34 9.44 12.3(5 14.64 15.94 16.10 15.«8 .38 0.17 1JB MB 6.37 9.47 12.38 14.66 15.95 16.10 15.07 .39 0.18 1.36 3.55 6.41 9.51 12.41 14.68 15.96 16.09 15.05 .40 0.19 1.38 3.58 6.44 9.54 12.44 14.69 15.96 Ifi.O!) 15.03 .41 0.20 1.40 :t.(io 6.47 9.57 12.46 14.71 15.97 16.! 12.28 14.36 15.48 15.46 14.29 12.14 9.34 6.31 3.52 .50 9.57 12.30 14.38 15.49 15.45 14.27 12.11 9.31 6.28 3.49- TABLE XXVII. ARGUMENT 22, Equation = 8".l — 0".4 sin. (t — z) -f 7".8 sin. 2 (t — z). Period, 32.128086 days. Days. dO 31 33 33 34 25 36 37 38 39 Days. .50 9.57 12.30 14.38 15.49 15.45 14.27 12.11 9.31 6.28 3.49 .51 9.60 12.33 14.40 15.49 15.44 14.25 12.08 9.28 6.25 3.47 .52 9.63 12.35 14.41 15.50 15.44 14.23 12.06 9.25 6.22 3.44 .53 9.66 12.38 14.43 15.50 15.43 14.22 12.03 9.22 6.19 3.42 .54 9.69 12.40 14.44 15.51 15.43 14.20 12.01 9.19 6.16 3.39 .55 9.72 12.42 14.46 15.51 15.42 14.18 11.98 9.16 6.13 3.37 .56 9.76 12.45 14.47 15.51 15.41 14.16 11.95 9.13 6.10 3.34 .57 9.79 12.47 14.49 15.52 15.41 14.14 11.93 9.10 6.07 3.32 .58 9.82 12.50 14.50 15.52 15.40 14.13 11.90 9.07 6.04 3.29 .59 9.85 12.52 14.52 15.53 15.40 14.11 11.88 9.04 6.01 3.27 .60 9.86 12.54 14.53 15.53 15.39 14.09 11.85 9.01 5.98 3.24 .61 9.89 12.57 14.55 15.53 15.38 14.07 11.82 8.98 5.95 3.22 .62 9,92 12.59 14.56 15.54 15.37 14.05 11.80 8.95 5.92 3.19 .63 9.95 12.62 14.58 15.54 15.37 14.04 11.77 8.92 5.89 3.17 .64 9.98 12.64 14.59 15.55 15.36 14.02 11.75 8.89 5.86 3.14 .65 10.01 12.66 14.61 15.55 15.35 14.00 11.72 8.86 5.83 3.12 .66 10.03 12.69 14.62 15.55 15.34 13.98 11.69 8.83 5.80 3.09 .67 10.06 12.71 14.64 15.56 15.33 13.96 11.67 8.80 5.77 3.07 .68 10.09 12.74 14.65 15.56 15.33 13.95 . 11.64 8.77 5.74 3.04 .69 10.12 12.76 14.67 15.57 15.32 13.93 11.62 8.74 5.71 3.02 ,70 10.15 12.78 14.68 15.57 15.31 13.91 11.50 8.71 5.68 2.99 .71 10.18 12.80 14.6'J 15.57 15.30 13.89 11.56 8.68 5.65 2.97 .72 10.21 12.83 14.71 15.58 15.29 13.87 11.54 8.65 5.62 2.94 .73 10.24 12.85 14.72 15.58 15.28 13.85 11.51 8.62 5.60 2.92 .74 10.27 12.87 14.74 15.58 15.27 13.83 11.48 8.59 5.57 2.89 .75 10.30 12.90 14.75 15.59 15.27 13.82 11.46 8.56 5.54 2.87 .76 10.32 12.92 14.76 15.59 15.26 13.80 11.43 8.53 5.51 2.84 .77 10.35 12.94 14.78 15.59 15.25 13.78 11.40 8.50 5.48 2.82 .78 10.38 12.97 14.79 15.60 15.24 13.76 11.38 8.47 5.45 2.79 .79 10.41 12.99 14.81 15.60 15.23 13.74 11.35 8.44 5.42 2.77 .80 10.44 13.01 14.82 15.60 15.22 13.72 11.32 8.41 5.39 2.75 .81 10.47 13.03 14.83 15.60 15.21 13.70 11.29 P. 38 5.36 2.72 .82 10.50 13.05 14.85 15.60 15.20 13.68 11.27 8.35 5.33 2.70 .83 10.52 13.08 14.86 15.60 15.19 13.66 11.24 8.32 5.31 2.68 .84 10.55 13.10 14.87 15.60 15.18 13.64 11.21 8.29 5.28 2.65 .85 10.58 13.1? 14.89 15.61 15.17 13.62 11.19 8.26 5.25 2.63 .86 10.61 13.14 14.90 15.61 15.16 13.59 11.16 8.23 5.22 2.61 .87 10.64 13.16 14.91 15.61 15.15 13.57 11.13 8.20 5.19 2.59 .88 10.66 13.19 14.93 15.61 15.14 13.55 11.11 8.17 5.16 2.57 .89 10.69 13.21 14.94 15.61 15.13 13.52 11.08 a 14 5.13 2.54 .90 10.72 13.23 14.95 15.61 15.12 13.51 11.05 8.11 5.10 2.52 .91 10.75 13.25 14.96 15.61 15.11 13.49 11.02 8.08 5.07 2.50 .92 10.78 13.27 14.97 15.61 15.10 13.47 11.00 8.05 5.04 2.48 .93 10.80 13.29 14.99 15.61 15.08 13.45 10.97 8.02 5.02 2.46 .94 10.83 13.31 15.00 15.61 15.07 13.43 10.94 7.99 * 4.99 2.43 .95 10.86 13.34 15.01 15.62 15.06 13.41 10.92 7.96 4.96 2.41 .96 10.88 13.36 15.02 15.62 15.05 13.38 10.89 7.93 4.93 2.39 .97 10.91 13.38 15.03 15.62 15.04 13.36 10.86 7.90 4.90 2.37 .98 10.94 13.40 15.05 15.62 15.02 13.34 10.84 7.86 4.87 2.35 .99 10.96 13.42 15.06 15.62 15.01 13.32 10.81 7.83 4.85 2.32 1.00 10.99 13.44 15.07 15.62 15.00 13.30 10.78 7.80 4.82 2.30 1 197 TABLE XXVII. (Continued.) Period, 32.128086 days. TABLE XXVIII. ARG. 23. Equation = 9".8 [1 — sin. (x -j- 2y — 2<)]. Period, 23.774626 days. Days. 3O 31 39 Days. O 1 9 3 4 .» Days. Da>». .00 2.30 0.61 6.02 Days. .00 19.59 19.33 18.40 16.88 H.87 fe.49 Da vs. 1.00 .01 2.28 0.60 0.02 .01 19.59 19.32 18.39 16.86 14.85 12.46 .99 .02 2.26 0.58 0.02 .02 19.59 19.32 18.38 16.84 14.82 12.44 .98 .03 2.24 0.57 0.02 .03 19.60 19.31 18.36 16.83 14.80 12.41 .97 .04 2.21 0.56 0.02 .04 19.60 19.31 18.35 16.81 14.77 12.39 .96 .05 2.19 0.54 0.02 .05 19.60 19.30 18.34 16.79 14.75 12.36 .95 .06 2.17 0.53 0.02 .06 19.60 19.29 18.33 16.77 14.73 12.34 .94 .07 2.15 0.52 0.02 .07 19.60 19.29 18.32 16.75 14.71 12.31 .93 .08 2.13 0.51 0.02 .08 19.60 19.28 18.30 16.74 14.68 12.29 .92 .09 2.11 0.50 0.02 .09 19.60 19.28 18.29 16.72 14.66 12.26 .91 .10 .11 .12 .13 .14 2.09 2.07 2.05 2.02 2.00 0.49 0.48 0.47 0.46 0.45 0.02 0.02 ' 0.02 0.03 0.03 .10 .11 .12 .13 .14 19.60 19.60 19.60 19.60 19.60 19.27 19.26 19.25 19.25 19.24 18.28 18.27 18.25 18.24 18.22 16.70 16.68 16.66 16.65 16.63 14.64 14.62 14.59 14.57 14.54 12.24 12.21 12.19 12.16 12.14 .90 .89 .88 .87 .86 .15 19.60 19.23 18.21 16.61 14.52 12.11 .85 .15 1.98 0.44 0.03 .16 19.60 19.22 18.20 16.59 14.50 12.09 .84 .16 1.96 0.43 0.03 .17 19.60 19.21 18.18 16.57 14.48 12.06 .83 .17 1.94 0.42 0.03 .18 19.60 19.21 18.17 16.55 14.45 12.04 .82 .18 1.92 0.41 0.04 .19 19.60 19.20 18.15 16.53 14.43 12.01 .81 .19 1.90 0.40 0.04 .20 19.60 19.19 18.14 16.51 14.41 11.99 .80 .20 1.88 0.39 0.04 .21 19.60 19.18 18.13 16.49 14.39 11.96 .79 .21 1.86 0.38 0.05 .22 19.60 19.17 18.11 16.47 14.36 11.94 .78 .22 1.84 0.38 0.05 .23 19.59 19.17 18.10 16.46 14.34 11.91 .77 .23 1.83 0.37 0.05 .24 19.59 19.16 18.08 16.44 14.31 11.89 .76 .24 1.81 0.36 0.06 .25 19.59 19.15 18.07 16.42 14.29 11.86 .75 .25 1.79 0.35 0.06 .26 19.59 19.14 18.05 16.40 14.27 11.84 .74 .26 1.77 0.34 0.06 .27 19.59 19.14 18.04 16.38 14.25 11.81 .?:< .27 1.7." 0.33 0.07 .28 19.59 19.13 18.02 16.37 14.22 11.79 .72 .28 1.73 0.32 0.07 .29 19.59 19.13 18.01 16.35 14.20 11.76 .71 .29 1.71 * 0.32 0.07 .30 19.59 19.12 17.99 16.33 14.18 11.74 .70 .30 .31 .32 .33 1.69 1.67 1.65 1.64 0.31 0.30 0.29 0.28 0.08 0.08 0.08 0.09 .31 - .32 .33 .:(! 19.59 19.59 19.58 19.58 19.11 19.10 19.10 19.09 17.98 17.96 17.95 17.93 16.31 16.29 16.27 16.25 14.16 14.13 14.11 14.08 11.71 11.89 11.66 11.64 . .47 19.56 18.91 17.75 i rot: i:t.7s 11.31 .;->:{ .46 1.4f 0.1! 0. 1 5 .48 !!).:>. 18.97 17.73 15.97 13.76 11.28 ..-.-3 . r 1.3 O.L 0.16 .49 19.5. 18.96 17.72 15.98 18.7S 11.26 .51 .48 1.3- 0.18 o!l6 .50 19.55 18.95 17.70 15.93 13.71 11.23 .50 .1! .50 LB 1.33 0.1 0.1 0.17 0.17 Days. 93 99 91 90 19 1 8 Days. 198 TABLE XXVII. % (Continued.) < Period, 32.128086 days. TABLE XXVIII. ARG. 23. Equation = 9".8 [1 — sin. (x -j- 2y — 2t)]. Period, 23.774626 days. Days. 3O 31 32 Days. O 1 2 3 4 •5 Days. Duvs. II (1 II Days. II (1 /( II • H Davs. .50 1.33 0.17 0.17 .50 19.55 18.95 17.70 15.93 13.71 11.23 .50 .51 1.32 0.16 0.18 .51 19.55 18.94 17.68 15.91 13.69 11.20 .49 .52 1.30 0.15 0.19 .52 19.55 18.93 17.67 15.89 13.66 11.18 .48 .53 1.28 0.15 0.19 .53 19.54 18.92 17.65 15.87 13.64 11.15 .47 .54 1.27 0.14 0.20 .54 19.54 18.91 17.64 15.85 13.61 11.13 .46 .55 1.25 0.13 0.20 .55 19.54 18.90 17.62 15.83 13.59 11.10 .45 .56 1.23 0.13 0.21 .56 19.54 18.89 17.60 15.81 13.57 11.08 .44 .57 1.21 0.12 0.22 .57 19.53 18.88 17.59 15.79 13.54 11.05 .43 .58 1.20 0.12 0.22 .58 19.53 18.88 17.57 15.77 13.52 11.03 .42 .59 1.18 0.11 0.23 .59 19.52 18.87 17.5G 15.75 13.49 11.00 .41 .60 .61 .62 .63 .64 1.17 1.15 1.13 1.12 1.10 0.11 0.10 0.10 0.09 0.09 0.24 0.24 0.25 0.26 0.26 .60 .61 .62 .63 .64 19.52 19.52 19.51 19.51 19.50 18.86 18.85 18.84 18.83 18.82 17.54 17.52 17.51 17.49 17.48 15.73 15.71 15.69 15.67 15.65 13.47 13.45 13.42 13.40 13.37 10.98 10.95 10.93 10.90 10.88 .40 .39 .38 .37 .36 .65 19.50 18.81 17.46 15.63 13.35 10.85 .35 .65 1.09 0.08 0.27 .66 19.50 18.80 17.45 15.61 13.33 10.82 .34 .66 1.07 0.08 0.28 .67 19.49 18.79 17.43 15.59 13.30 10.80 .33 .67 1.06 0.08 0.29 .68 19.49 18.78 17.42 15.56 13.28 10.77 .32 .68 1.04 0.07 0.30 .69 19.48 18.77 17.40 15.54 13.25 10.75 .31 .69 1.03 0.07 0.30 .70 19.48 18.76 17.39 15.52 13.23 10.72 .30 .70 1.01 0.07 0.31 .71 19.47 18.75 17.37 15.50 13.21 10.69 .29 .71 1.00 0.06 0.32 .72 19.47 18.74 17.36 15.48 13.18 10.67 .28 .72 0.98 0.06 0.33 .73 19.46 18.72 17.34 15.46 13.16 10.64 .27 .73 0.97 0.06 0.34 .74 19.46 18.71 17.33 15.44 13.13 10.62 .26 .74 0.95 0.05 0.34 .75 19.45 18.70 17.31 15.42 13.11 10.59 .25 .75 0.94 0.05 0.35 .76 19.45 18.69 17.29 15.40 ir?.0!) 10.57 .24 .76 0.92 0.05 0.36 .77 19.44 1S.68 17.27 15.38 ra.pa 10.51 .23 .77 0.91 0.05 0.37 .78 19.44 18.66 17.26 15.35 13.04 10.52 .22 .78 0.89 0.04 0.38 .79 19.43 18.65 17.24 15.33 13.01 10.49 .21 .79 0.88 0.04 0.39 0 .80 19.43 18.64 17.22 15.31 12.99 10.47 .20 .80 .81 .82 .83 0.87 0.85 0.84 0.83 0.04 0.04 0.04 0.03 0.40 0,11 0.42 0.43 .81 .82 .83 .84 19.42 19.42 li).4i 19.41 18.63 18.62 18.61 18.60 17.20 17.19 17.17 17.16 15.29 15.27 15.2i 15.22 12.97 18.9! 12.92 12.89 10.44 10.42 10.39 10.37 .19 .18 .17 .16 .84 0.81 0.03 0.44 .85 19.40 18.59 17.14 15.20 12.87 10.34 .15 .86 19.40 18.58 17.12 15.18 12.84 10.31 .14 .85 0.80 0.03 0.45 .87 19.39 18.57 17.11 15.16 12.82 10.29 .13 .86 0.79 0.03 0.46 .88 19.39 18.55 17.09 15.13 12.79 10.26 .12 .87 0.77 0.03 0.47 .89 19.38 18.54 17.08 15.11 12.77 10.24 .11 .88 0.76 0.03 0.48 .89 0.75 0.03 0.49 .90 19.38 18.53 17.06 15.09 12.74 10.21 .10 .91 19.37 18.52 17.04 15.07 12.71 10.18 .09 .90 0.73 0.03 0.50 .92 19.37 18.50 17.02 15.05 12.69 10.16 .08 .91 0.72 0.02 0.51 .93 19.36 18.49 17.01 15.02 12.66 10.13 .07 .92 0.71 0.02 0.53 .94 19.36 18.47 16.99 15.00 12.64 10.11 .06 .93 0.70 0.02 0.54 .94 0.68 0.02 0.55 .95 19.35 18.46 16.97 14.98 12.61 10.08 .05 .96 19.35 18.45 16.95 14.96 12.59 10.05 .04 .95 0.67 0.02 0.56 .97 19.34 18.44 16.93 14.94 12.56 10.03 .03 .96 0.66 0.02 0.57 .98 19.34 18.42 16.92 14.91 12.54 10.00 .02 .97 0.65 0.02 0.58 .99 19.33 18.41 16.90 14.89 12.51 9.98 .01 .98 0.63 0.02 0.59 1.00 19.33 18.40 16.88 14.87 12.49 9.95 .00 .99 0.62 0.02 0.61 1.00 0.61 0.02 0.62 Days. 23 22 21 20 19 1 8 Days. 199 TABLE XXVIII. (Continued.) Period, 23.774626 days. TABLE XXIX. ARG. 24. Equation = 7".3 [1 — sin. (2x -+- «)]. Period, 13.276498 days. Days. 6 7 8 9 10 11 0 1 2 Days. EM* .00 9.95 7.39 4.98 2.92 1.33 0.35 14.50 14.27 /( 12.51 Days. i.bo .01 9.92 7.36 4.96 2.90 1.32 0.34 14.50 14.26 12.49 .99 .02 9.90 7.31 4.94 2.88 1.31 0.33 14.5 14.25 12.46 .98 .03 9.87 7.31 4.91 2.87 1.29 0.33 14.52 14.24 12.44 .97 .04 9.85 7.29 4.89 2.85 1.28 0.32 14.52 14.23 12.41 .96 .05 9.82 7.26 4.87 2.83 1.27 0.31 14.53 14.22 12.39 .95 .06 9.79 7.23 4.85 2.81 1.26 0.30 14.53 14.20 12.36 .94 .07 9.77 7.21 4.82 2.79 1.25 0.30 14.53 14.19 12.33 .93 .08 9.74 7.18 4.80 2.78 1.23 0.29 14.5 1418 12.31 .92 .09 9.72 7.16 4.77 2.76 1.22 0.29 14.54 14.17 12.28 .91 .10 9.69 7.13 4.75 2.74 1.21 0.28 14.55 14.16 12.26 .90 .11 9.66 7.11 4.73 2.72 1.20 0.27 14.55 14.15 12.23 .89 .12 9.64 7.08 4.71 2.70 1.19 0.27 14.56 14.14 12.21 .88 .13 9.61 7.06 4.68 2.69 1.17 0.26 14.56 14.12 12.18 .87 .14 9.59 7.03 4.66 2.67 1.16 0.26 14.56 14.11 12.16 .86 .15 9.56 7.01 4.64 2.65 1.15 0.25 14.57 14.10 12.13 .85 .16 9.53 6.98 4.62 2.63 1.14 0.24 14.57 14.08 12.10 .84 .17 9.51 6.96 4.60 2.61 1.12 0.24 14.57 14.07 12.08 .83 .18 9.48 6.93 4.57 2.60 1.11 0.23 14.58 14.05 12.05 .82 .19 9.46 6.91 4.55 2.58 1.09 0.23 14.58 14.04 12.03 .81 .20 9.43 6.88 4.53 2.56 1.08 0.22 14.58 14.03 12.00 .80 .21 9.40 6.86 4.51 2.54 1.07 0.21 14.58 14.02 11.97 .7!) .22 9.38 6.83 4.49 2.53 1.06 0.21 14.58 14.00 11.94 .78 .23 9.35 6.81 4.46 2.51 1.04 0.20 14.59 13.99 1LB2 .77 .24 9.33 6.78 4.44 2.50 1.03 0.20 14.59 13.97 11.89 ..76 .25 9.30 6.76 4.42 2.48 1.02 0.19 14.59 13.96 11.87 .75 .26 927 6.73 4.40 2.46 1.01 0.19 14.59 13.95 11.84 .74 .27 9.25 6.71 4.38 2.45 1.00 0.18 14.60 13.93 11. SI .73 .28 9.22 6.68 4.36 2.43 0.99 0.18 14.60 13.92 11.79 .72 .29 9.20 6.66 4.34 2.42 0.98 0.17 14.60 13.90 11.76 .71 .30 9.17 6.63 4.32 2.40 0.97 0.17 14.60 13.89 11.73 .70 .31 9.15 6.61 4.30 2.38 0.96 0.17 14.60 13.88 11.70 .69 .:« 9.12 <6.58 4.28 2.36 0.95 0.16 14.60 13.86 11.67 .68 .33 9.10 6.56 4.25 2.35 0.93 0.16 14.60 13.85 11.65 .67 .34 9.07 6.53 4.23 2.33 0.92 0.15 14.60 13.83 11.62 .66 .35 9.05 6.51 4.21 2.31 0.91 0.15 14.60 13.82 11.60 .65 46 9.02 6.49 4.19 2.29 0.90 0.15 14.60 13.80 11.57 .64 .37 9.00 6.46 4.17 2.28 0.89 0.14 14.60 13.78 11.54 .63 .:(s 8.97 6.44 4.15 2.26 0.87 0.14 14.60 13.77 11.52 .62 .39 8.95 6.41 4.13 2.25 0.86 0.13 14.60 13.75 11.49 .61 .40 8.92 6.39 4.11 2.23 0.85 0.13 14.00 13.74 11.46 .60 .41 N.N!) 6.37 4.09 2.21 0.84 0.12 14.60 13.72 1 1 .43 .59 .42 8.87 6.34 4.07 2.20 0.83 0.12 14.60 13.70 11.10 .58 .43 8.84 6.32 4.04 2.18 0.82 0.11 14.80 13.(i9 11.37 .57 .44 8.82 6.29 4.02 2.17 0.81 0.11 14.60 13.67 11.31 .56 .1.-. 8.79 6.27 4.00 2.15 0.80 0.10 1 1.00 13.66 lisa .55 .46 8.76 6.25 3.98 2.13 0.79 0.10 14.69 18.64 1 1.29 .54 .47 8.74 ti.-J-.' B.96 2.11 0.78 0.09 11.5!) l«.6S 11.26 .63 .48 8.71 6.20 8.94 2.10 0.77 0.09 11.59 13.61 11.23 .52 .lit 8.69 1.17 8.93 2.08 0.76 0.08 1 1.5!) 13.59 11.20 .51 .50 166 6.15 3.90 2.06 0.75 0.08 14.59 1 3.57 11.17 .50 Days. IT 10 13 14 13 12 1:1 13 1 1 Days. 200 TABLE XXVIII. (Continued.) Period, 23.774626 days. TABLE XXIX. ARG. 24. Equation"== 7".3 [1 — sin. (2x -[- z)]. Period, 13.276498 days. Days. 6 . * 8 9 1O 11 o 1 2 Days. Iliivs. .50 8.66 6.15 3.90 2.06 II 0.75 0.08 14.59 13.57 11. 17 Days. .50 .51 .8.63 6.13 3.88 2.04 0.74 0.08 14.59 13.55 11.14 .49 .52 8.61 6.10 3.86 2.03 0.73 0.07 14.59 13.53 11.11 .48 .53 8.S81 6.07 3.83 2.01 0.72 0.07 14.58 13.51 11.08 .47 .54 8.56 6.05 3.81 2.00 0.71 0.06 14.58 13.49 11.05 .46 .55 8.53 6.03 3.79 1.98 0.70 0.06 14.58 13.48 11.02 .45 .56 8.50 6.01 3.77 1.97 0.69 0.06 14.57 13.46 10.99 .44 .57 8.48 5.98 3.75 1.95 0.68 0.06 14.57 13.44 10.96 .43 .58 8.45 5.96 3.73 1.94 0.68 0.05 14.57 13.42 10.93 .42 .59 8.43 5.93 3.71 1.92 0.67 0.05 14.56 13.40 10.90 .41 .60 8.40 5.91 3.69 1.91 0.66 0.05 14.56 13.38 10.87 .40 .61 8.37 5.89 3.67 1.89 0.65 0.05 14.56 13.36 10.84 .39 .62 8.35 5.86 3.65 1.88 0.64 0.05 14.55 13.34 10.81 .38 .63 8.32 5.84 3.63 1.86 0.64 0.04 14.55 13.32 10.78 .37 .64 8.30 5.81 3.61 1.85 0.63 0.04 14.54 13.30 10.75 .36 .65 8.27 5.79 3.59 1.83 0.62 0.04 14.54 13.28 10.72 .35 .66 824 5.77 3.57 1.82 0.61 0.04 14.53 13.26 10.69 .34 .67 8.22 5.74 3.55 1.80 0.60 0.04 14.53 13.24 10.66 .33 .68 8.19 5.72 3.53 1.79 0.59 0.03 14.52 13.22 10.63 .32 .69 8.17 5.69 3.51 1.77 0.58 0.03 14.52 13.20 10.60 .31 .70 8.14 5.67 3.49 1.76 0.57 0.03 14.51 13.18 10.57 .30 .71 8.12 5.65 3.47 1.75 0.56 0.03 14.50 13.16 10.54 .29 .72 8.09 5.63 3.45 1.73 0.55 0.03 14.50 13.14 10.51 .28 .73 8.07 5.60 3.43 1.72 0.55 0.02 14.49 13.12 10.48 .27 .74 8.04 5.58 3.41 1.70 0.54 0.02 14.48 13.10 10.45 .26 .75 8.02 5.56 3.39 1.69 0.53 0.02 14.48 13.08 10.42 .25 .76 7.99 5.54 3.37 1.68 0.52 0.02 14.47 13.05 10.38 .24 .77 7.97 5.51 3.35 1.66 0.51 0.02 14.46 13.03 10.35 .23 .78 7.94 549 3.33 1.65 0.51 0.01 14.46 13.01 10.32 .22 .79 7.92 5.46 3.31 1.63 0.50 0.01 14.45 12.99 10.29 .21 .80 7.89 5.44 3.29 1.62 0.49 0.01 14.44 12.97 10.26 .20 .81 7.87 5.42 3.27 1.60 0.48 0.01 14.43 12.95 10.23 .19 .82 7.84 5.40 3.25 1.59 0.47 0.01 14.42 12.93 10.20 .18 .83 7.82 5.37 3.24 1.57 0.47 0.01 14.41 12.91 10.17 .17 .84 7.79 5.35 3.22 1.56 0.46 0.00 14.41 12.88 10.13 .16 .85 7.77 5.33 3.20 1.54 0.45 0.00 14.40 12.86 10.10 .15 .86 7.74 5.31 3.18 1.53 0.44 0.00 14.39 12.84 10.07 .14 .87 7.72 5.28 3.16 1.51 0.44 0.00 14.39 12.81 10.03 .13 .88 7.69 5.26 3.15 1.50 0.43 0.00 14.38 12.79 10.00 .12 .89 7.67 5.23 3.13 1.48 0.43 0.00 14.37 12.77 9.97 .11 .90 7.64 5.21 3.11 1.47 0.42 0.00 14.36 12.75 9.94 .10 .91 7.62 5.19 3.09 1.46 0.41 0.00 14.35 12.73 9.91 .09 .92 7.59 5.17 3.07 1.44 0.40 0.00 14.34 12.70 9.88 .08 .93 7.57 5.14 3.05 1.43 0.40 0.00 14.33 12.68 9.84 .07 .94 7.54 5.12 3.03 1.41 0.39 0.00 14.32 12.65 9.81 .06 .95 7.52 5.10 3.01 1.40 0.38 0.00 14.32 12.63 9.78 .05 .96 7.49 5.08 2.99 1.39 0.37 0.00 14.31 12.61 9.74 .04 .97 7.47 5.05 2.97 1.37 0.37 0.00 14.30 12.58 9.71 .03 .98 7.44 5.03 2.96 1.36 0.36 0.00 14.29 12.56 9.67 .02 .99 7.42 5.00 2.94 1.34 0.36 0.00 14.28 12.53 9.64 .01 1.00 7.39 4.98 2.92 1.33 0.35 0.00 14.27 12.51 9.61 .00 Days. 17 16 IS 14 13 13 13 1*2 1 1 Days. 201 TABLE XXIX. ( Continued.) Period, 13.276498 days. TABLE XXX. ARG. 25. Equation = 2".9 [1 — sin. (2i + * -j- *)]. Period, 9.36717 days. Days. 3 4 5 6 0 1 2 3 4 Days. En .00 9.61 6.20 3.03 0.80 5.73 5.50 4.14 • 2.24 0.63 Daya. 1.00 .01 9.58 6.17 3.00 0.78 5.74 5.49 4.12 2.22 0.62 .99 .02 9.55 6.13 2.97 0.77 5.74 5.48 4.11 2.20 0.61 .98 .03 9.51 6.10 2.95 0.75 5.75 5.48 4.09 2.18 0.59 .97 .04 9.48 6.06 2.92 0.74 5.75 5.47 4.07 2.16 0.58 .96 .05 9.45 6.03 2.89 0.72 5.76 5.46 4.05 2.14 0.57 .95 .06 9.41 6.00 2.87 0.71 5.76 5.45 4.03 2.13 0.56 .94 .07 9.38 5.96 2.84 0.69 5.76 5.44 4.02 2.11 0.55 .93 .08 9.34 5.93 2.82 0.68 5.77 5.43 4.00 2.09 0.53 .92 .09 9.31 5.89 2.79 0.66 5.77 5.42 3.98 2.07 0.52 .91 .10 9.28 5.86 2.76 0.65 5.77 5.41 3.96 2.05 0.51 .90 .11 9.25 5.83 2.73 0.64 5.77 5.40 3.94 2.03 0.50 .89 .12 9.22 5.79 2.70 0.62 5.78 5.39 393 2.01 0.49 .88 .13 9.18 5.76 2.68 0.61 5.78 5.38 3.91 1.99 0.48 .87 .14 9.15 5.72 2.65 0.59 5.78 5.37 3.89 1.98 0.47 .86 .15 9.12 5.69 2.62 0.57 5.78 5.36 3.87 1.96 0.46 .85 .16 9.08 5.66 2.60 0.56 5.79 5.35 3.85 1.94 0.44 .84 .17 9.05 5.62 2.57 0.54 5.79 5.33 3.84 1.92 0.43 .83 .18 9.01 5.59 2.55 0.53 5.79 5.32 3.82 1.90 0.42 .82 .19 8.98 5.55 2.52 0.52 5.79 5.31 3.80 1.89 0.41 .81 .20 8.95 5.52 2.49 0.51 5.79 5.30 3.78 1.87 0.40 .80 .21 8.92 5.49 2.46 0.50 5.79 5.29 3.76 1.85 0.39 .79 .22 8.88 5.46 2.44 0.49 5.79 5.28 3.74 1.83 0.38 .78 .23 8.85 5.42 2.41 0.47 5.80 5.27 3.72 1.82 0.37 .77 £4 8.81 5.39 2.39 0.46 5.80 5.26 3.70 1.80 0.36 .76 .25 8.78 5.35 2.36 0.45 5.80 5.25 3.68 1.78 0.35 .75 .26 8.75 5.32 2.33 0.44 5.80 5.23 3.67 1.76 0.35 .74 .27 8.71 5.29 2.31 0.42 5.80 5.22 3.65 1.74 0.34 .73 .28 8.68 5.25 2.28 0.41 5.80 5.21 3.63 1.73 0.33 .72 .29 8.64 5.22 2.26 0.40 5.80 5.20 3.61 1.71 0.32 .71 .30 8.61 5.19 2.23 0.39 5.80 5.19 3.59 1.69 0.31 .70 .31 8.58 5.16 2.21 0.38 5.80 5.18 3.57 1.67 0.30 .69 .32 8.54 5.13 2.18 0.37 5.80 5.17 3.55 1.65 0.29 .68 .33 8.51 5.09 2.16 0.36 5.80 5.15 3.53 1.64 0.28 .67 .34 8.47 5.06 2.13 0.35 5.80 5.14 3.51 1.62 0.28 .66 .35 8.44 5.02 2.11 0.34 5.80 5.13 3.49 1.60 0.27 .65 .36 8.41 4.99 2.09 0.33 5.80 5.12 3.48 1.58 0.26 .64 .37 8.37 4.96 2.06 0.32 5.80 5.11 3.46 1.56 0.25 .63 .38 8.34 4.92 2.04 0.31 5.79 5.09 3.44 1.55 0.24 .62 .39 8.30 4.89 2.01 0.30 5.79 5.08 3.42 1.53 0.24 .61 .40 8.27 4.86 1.99 0.29 5.79 5.07 3.40 1.51 0.23 .60 .41 8.24 4.83 1.97 0.28 5.79 5.06 3.38 1.49 0.22 .59 .42 8.20 4.80 1.95 0.27 5.79 5.04 3.36 1.47 0.21 .58 .43 8.17 4.76 I.M 0.26 5.78 5.03 3.34 1.46 0.21 .57 .44 8.13 4.73 1.90 0.25 5.78 5.01 3.32 1.44 0.20 .56 .45 8.10 4.69 1.87 0.24 5.78 5.00 3.30 1.42 0.19 .55 .46 8.07 4.66 1.85 0.24 5.78 4.99 3.28 1.41 0.19 .54 .47 8.03 4.63 1.82 0.23 5.78 4.97 3.26 1.39 0.18 .53 .48 8.00 4.59 1.80 0.22 5.77 4.96 3.2 1 1.36 0.17 .52 .49 7.96 4.56 1.78 0.21 5.77 4.94 3.22 1.36 0.17 .51 .50 7.93 4.53 1.76 0.20 5.77 4.93 3.20 1.34 0.16 .50 Days. 1O 9 8 7 9 8 7 6 S Days. TABLE XXIX. {Continued.) Period, 13.276498 days. TABLE XXX. ARG. 25. Equation = 2".9 [1 — sin. (2< -f z + *)]. Period, 9.36717 days. Days. 3 4 if 6 o 1 3 3 4 Days. ll.-ivs II II II II II Days. .50 7.93 4.53 1.76 0.20 5.77 4.93 .3.20 1.34 0.16 .50 .51 7.90 4.50 1.74 0.19 5.77 4.92 3.18 1.32 0.15 .49 .52 7.86 4.47 1.72 0.18 5.76 4.90 3.16 1.31 0.15 .48 .53 7.83 4.44 1.70 0.18 5.76 4.89 3.14 1.29 0.14 .47 .54 7.79 4.40 1.67 0.17 5.76 4.87 3.12 1.28 0.14 .46 .55 7.76 4.37 1.65 0.16 5.75 4.86 3.10 1.26 0.13 .45 .56 7.73 4.34 1.63 0.16 5.75 4.85 3.09 1.25 0.12 .44 .57 7.69 4.30 1.60 0.15 5.75 4.83 3.07 1.23 0.12 .43 .58 7.66 4.27 1.58 0.14 5.74 4.82 3.05 1.22 0.11 .42 .59 7.62 4.24 1.56 0.14 5.74 4.80 3.03 1.20 0.11 .41 .60 7.59 4.21 1.54 0.13 5.74 4.79 3.01 1.19 0.10 .40 .61 7.56 4.18 1.52 0.12 5.73 4.77 2.99 1.17 0.10 .39 .62 7.52 4.15 1.50 0.12 5.73 4.76 2.97 1.16 0.09 .38 .63 7.49 4.12 1.48 0.11 5.73 4.74 2.95 1.14 0.09 .37 .64 7.45 4.09 1.46 0.11 5.73 4.73 2.93 1.13 0.08 .36 .65 7.42 4.06 1.44 0.10 5.72 4.71 2.91 1.11 0.08 .35 .66 7.38 4.03 1.42 0.09 5.72 4.70 2.90 1.10 0.08 .34 .67 7.34 4.00 1.40 0.09 5.71 4.68 2.88 1.08 0.07 .33 .68 7.31 3.97 1.38 0.08 5.71 4.67 2.86 1.07 0.07 .32 .69 7.27 3.94 1.36 0.08 5.70 4.65 2.84 1.05 0.06 .31 .70 7.24 3.91 1.34 0.07 5.70 4.64 2.82 1.04 0.06 .30 .71 7.21 3.88 1.32 0.07 5.69 4.62 2.80 1.02 0.06 .29 .72 7.17 3.85 1.30 0.06 5.69 4.61 2.78 1.01 0.05 .28 .73 7.14 3.82 1.28 0.06 5.68 4.59 2.76 0.99 0.05 .27 .74 7.10 3.79 1.26 0.05 5.68 4.58 2.74 0.98 0.05 .26 .75 7.07 3.76 1.24 0.05 5.67 4.56 2.72 0.96 0.04 .25 .76 7.03 3.73 1.23 0.05 5.67 4.54 2.71 0.95 0.04 .24 .77 6.99 3.70 1.21 0.04 5.66 4.53 2.69 0.93 0.04 .23 .78 6.96 3.67 1.19 0.04 5.66 4.51 2.67 0.92 0.04 .22 .79 6.92 3.64 1.17 0.03 5.65 4.50 2.65 0.90 0.03 .21 .80 6.89 3.61 1.15 0.03 5.65 4.48 2.63 0.89 0.03 .20 .81 6.86 3.58 1.13 0.03 5.64 4.46 2.61 0.88 0.03 .19 .82 6.82 3.55 1.11 0.02 5.63 4.45 2.59 0.86 0.03 .18 .83 679 3.52 1.09 0.02 5.63 4.43 2.57 0.85 0.02 .17 .84 6.75 3.49 1.08 0.02 5.62 4.41 2.55 0.83 0.02 .16 .85 6.72 3.46 1.06 0.02 5.61 4.40 253 0.82 0.02 .15 .86 6.68 3.43 1.04 0.01 5.61 4.38 2.51 0.81 0.02 .14 .87 6.64 3.40 1.03 0.01 5.60 4.36 2.49 0.79 0.02 .13 .88 6.61 3.37 1.01 0.01 5.59 4.35 2.47 0.78 0.01 .12 .89 6.57 3.34 0.99 0.01 5.59 4.33 2.45 0.76 0.01 .11 .90 6.54 3.31 0.97 0.01 5.58 4.31 2.43 0.75 0.01 .10 .91 6.51 3.28 0.95 0.01 5.57 4.29 2.41 0.74 0.01 .09 .92 6.47 3.25 0.93 0.01 5.56 4.28 2.39 0.73 0.01 .08 .93 6.44 3.22 0.92 0.00 5.56 4.26 2.37 0.71 0.01 .07 .94 6.40 3.20 0.90 0.00 5.55 4.24 2.35 0.70 0.00 .06 .95 6.37 3.17 0.88 0.00 5.54 4.23 2.33 0.69 0.00 .05 .96 6.34 3.14 0.87 0.00 5.53 4.21 2.32 0.68 0.00 .04 .97 6.30 3.12 0.85 0.00 5.52 4.19 2.30 0.67 0.00 .03 .98 6.27 3.09 0.83 0.00 5.52 4.18 2.28 0.65 0.00 .02 .99 6.23 3.06 0.82 0.00 5.51 4.16 2.26 0.64 0.00 .01 1.00 6.20 3.03 0.80 0.00 5.50 4.14 2.24 0.63 0.00 .00 Days. 1O 9 8 r 9 8 7 6 5 Days. 203 TABLES XXXI-LXXXI. ARGUMENTS, PERIODS, AND EQUATIONS. TABLE. ARGUMENT. PERIOD. EQUATION. XXXI. 26 Davs. 5.822606 1.9 + 1.9 sin. (4<+*). XXXII. 27 25.82638 1.6 + 0.8 sin. (2a- — t) — 0".9 sin. (4* — 2<). XXXIII. 28 38.52204 7.5 -|- 7.5 sin. (2t — 2z — x). XXXIV. 29 32.76364 6.3 — 6.3 sin. (2< -f x — 2y). XXXV. 30 10.37093 3.8 + 3.8 sin. (4t — x — z). XXXVI. 31 15.31442 3.0 — 3.0 sin. (3t — x). XXXVII. 32 16.63016 3.0 -f- 3.0 sin. (41 — 2x — z). XXXVIII. 33 32.45058 2.1 -j- 2.1 sin. (x — 2z). XXXIX. 34 27.09271 2.0 — 2.0 sin. (2< + 2z — x). XL. 35 23.94223 1.2 — 1.2 sin. (a: + 2z). XLI. 36 13.71881 1.0 + 1.0 sin. (< + z + z). XLII. 37 37.62533 0.5 -j- 0.5 sin. (4< — 3x). XLIII. 38 18.78878 0.4 — 0.4 sin. H + 2*). XLIV. 39 34.47528 0.6 — 0.6 sin. (3t — 2x). XLV. 40 18.84354 0.4 + 0.4 sin. (3x — z). XLVI. 41 17.91910 0.4 — 0.4 sin. (3* + z). XLVII. 42 10.14791 0.3 -f- 0.3 sin. (2< + x — 2z). XLVIII. 43 14.53786 0.6 + 0.6 sin. (2< + 2x — z). XLIX. 44 22.78614 0.3 — 0.3 sin. (Sx — 2< + z). L. 45 16.90004 0.2 — 0.2 sin. (2« + x + 2y). LI. 46 29.01328 0.4 — 0.4 sin. (x + z — 2y). LII. 47 14.13256 1.3 + 1.3 sin. (2y — z). LIU. 48' 14.96709 0.5 — 0.5 sin. (2< + 2z — 2y). LIV. 49 12.76271 0.2 — 0.2 sin. (Zx — 2«+2y). LV. 50 25.03597 0.4 — 0.4 sin. (2y + z — *). LVI. 51 18.21692 0.2 — 0.2 sin. (x + 2y). LVII. 52 25.23137 1.0 -f- 1.0 sin. (2y — t). LVIII. 53 117.53942 2.6 — 2.6 sin. (2y — 2« + z). LIX. 54 15.06989 1.2 + 1.2 sin. (4< — z). LX. 55 19.62730 0.9 — 0.9 sin. (4« — * + z). LXI. 56 13.11748 0.7 — 0.7 sin. (2y + z). LXII. 57 16.98741 0.8 + 0.8 sin. (2t + 3x). LXIII. 58 15.24221 0.5 — 0.5 sin. (4/ — 2x -f z). LXIV. 59 38.96397 0.6 — 0.6 sin. (x — 4t 4- 2y). LXV. 60 22.32171 0.4 — 0.4 sin. (x — 2t + 2y + z). LXVI. 61 13.60611 0.4 -j- 0.4 sin. (4y). LXVII. 62 14.44200 0.3 -j- 0.3 sin. (2<-(-2y — *). LXVIH. 63 13.63340 0.3 -j- 0.3 sin. (u + y). LXIX. 64 35.99212 0.3 — 0.3 sin. (2< -f x — 2y — z). LXX. 65 14.47277 0.2 — 0.2 sin. (4t + z). LXXI. 66 35.59582 0.2 — 0.2 sin. (3t — 2y). LXXII. 67 27.44332 1.0 — 1.0 sin. (x-\-y — ti). LXXIII. 68 27.66669 0.7 -f- 0.7 sin. (x — y + u). LXXIV. LXXV. 69' 70 471.89326 329.79056 2.2 — 2.2 sin. (2x — 2t— z). 1.5 + 1.5 sin. (2y — z — 2<). LXXVI. 71 583.921 1.3 — 1.1 sin. ( 9 — 0) + °"-4 sin- 2(9—©)- I AX VII. lAXVIII. 72 73' :i!iH.884 1095.1653 0.8 4- 0.7 sin. (© — ^) — 0".2 sin. 2 (© — y). 2.0 4- 2.0 sin. (2y — 2x). LXXIX. 74 3232.8202 0.5 4- °-5 sin- (' — x + *)• IA\X. 75 84753.24 53.2 +23.2 sin. (8g" — 13z + 315° 30'). LX.XM. 76 95489.94 65.64+27.4 sin. ( ISg" — 16z — x + 35° 20'.2). TABLE XXXI. ARGUMENT 26, Equation = 1".9 [1 + sin. (4< + *)]. Period, 5.822606 days. Days. 0 1 2 Days. Days. O 1 3 Days. Days. .00 0.01 0.85 2.80 Days. 1.00 Days. .50 0.18 LSI 3.53 Days. .50 .01 0.01 0.87 2.82 .99 .51 0.19 1.83 3.54 .49 .02 0.01 0.89 2.84 .98 .52 0.20 1.85 3.55 .48 .03 0.01 0.91 2.85 .97 .53 0.21 1.87 3.56 .47 .04 0.01 0.92 2.87 .96 .54 0.22 1.89 3.57 .46 .05 0.01 0.94 2.89 .95 .55 0.23 1.91 3.58 .45 .06 0.00 0.96 2.90 .94 .56 0.24 1.93 3.58 .44 .07 0.00 0.97 2.92 .93 .57 0.25 1.95 3.59 .43 .08 0.00 0.99 2.93 .92 .58 0.26 1.97 3.60 .42 .09 0.00 1.01 2.95 .91 .59 0.27 . 1.99 3.61 .41 .10 0.00 1.03 2.97 .90 .60 0.28 2.01 3.62 .40 .11 0.00 1.05 2.99 .89 .61 0.29 2.03 3.63 .39 .12 0.00 1.07 3.00 .88 .62 0.30 2.05 3.64 .38 .13 0.00 1.09 3.02 .87 .63 0.31 2.07 3.65 .37 .14 0.00 1.11 3.03 .86 .64 0.33 2.09 3.65 .36 .15 0.00 1.12 3.05 .85 .65 0.34 2.11 3.66 .35 .16 0.01 1.14 3.07 .84 .66 0.35 2.14 3.67 .34 .17 0.01 1.16 3.08 .83 .67 0.37 2.16 3.68 .33 .18 0.01 1.18 3.10 .82 .68 0.38 2.18 3.68 .32 .19 0.01 1.20 3.11 .81 .69 0.39 2.20 3.69 .31 .20 0.01 1.22 3.13 .80 .70 0.40 2.22 3.70 .30 .21 0.01 1.24 3.15 .79 .71 0.41 2.24 3.71 .29 .22 0.01 1.26 3.16 .78 .72 0.42 2.26 3.71 .28 .23 0.02 1.28 3.18 .77 .73 0.44 2.28 3.72 .27 .24 0.02 1.30 3.19 .76 .74 0.45 2.30 3.72 .26 .25 0.02 1.31 3.21 .75 .75 0.46 2.32 3.73 .25 .26 0.03 1.33 3.22 .74 .76 0.48 2.34 3.74 .24 .27 0.03 1.35 3.23 .73 .77 0.49 2.36 3.74 .23 .28 0.04 1.37 3.25 .72 .78 0.51 2.38 3.75 .22 .29 0.04 1.39 3.26 .71 .79 0.52 2.40 3.75 .21 .30 0.04 1.41 3.28 .70 .80 0.53 2.42 3.76 .20 .31 0.05 1.43 3.29 .69 .81 0.54 2.44 3.76 .19 .32 0.05 1.45 3.31 .68 .82 0.56 2.46 3.77 .18 .33 0.06 1.47 3.32 .67 .83 0.57 2.48 3.77 .17 .34 0.06 1.49 3.34 .66 .84 0.59 2.50 3.77 .16 .35 0.07 1.51 3.35 .65 .85 0.60 2.52 3.78 .15 .36 0.08 1.53 3.36 .64 .86 0.62 2.54 3.78 .14 • .37 0.08 1.55 3.38 .63 .87 0.64 2.56 3.78 .13 .38 0.09 1.57 3.39 .62 .88 0.65 2.58 3.79 .12 .39 0.09 1.59 3.41 .61 .89 0.67 2.60 3.79 .11 .40 0.10 1.61 3.42 .60 .90 0.68 2.62 3.79 .10 .41 0.11 1.63 3.43 .59 .91 0.70 2.64 3.79 .09 .42 0.12 1.65 3.44 .58 .92 0.72 2.66 3.79 .08 .43 0.13 1.67 3.45 .57 .93 0.73 2.68 3.79 .07 .44 0.13 1.69 3.46 .56 .94 0.75 2.69 3.79 .06 .45 0.14 1.71 3.48 .55 .95 0.76 2.71 3.80 .05 .46 0.15 1.73 3.49 .54 .96 0.78 2.73 3.80 .04 .47 0.15 1.75 3.50 .53 .97 0.80 2.74 3.80 .03 .48 0.16 1.77 3.51 .52 .98 0.81 2.76 3.80 .02 .49 0.17 1.79 3.52 .51 .99 0.83 2.78 3.80 .01 .50 0.18 1.81 3.53 .50 1.00 0.85 2.80 3.80 .00 Days. .( 4 3 Days. Days. S 4 3 Days. 205 TABLES XXXII -XXXVI. * TABLE ARGUMENT XXXII. 27. XXXIII. 28. XXXIV. 29. XXXV. 3O. XXXVI. 31. Days. O 1O 2O Days. O 1O O 1O 0 O Days. Dayj 11 tl II Days. _ H a H Days. 0.0 1.65 1.96 2.62 0.0 0.05 7.05 1.45 4.15 7.50 4.72 10.0 0.1 1.59 1.97 2.66 0.1 0.04 7.17 1.38 4.26 7.44 4.81 9.9 0.2 1.52 1.98 2.70 0.2 0.03 7.29 1.30 4.38 7.37 4.91 9.8 0.3 1.46 1.98 2.73 0.3 0.02 7.41 1.23 4.49 7.30 5.00 9.7 0.4 1.39 1.99 2.77 0.4 0.01 7.53 1.16 4.61 7.20 5.09 9.6 0.5 1.33 1.99 2.80 0.5 0.01 7.65 1.09 4.72 7.08 5.18 9.5 0.6 1.27 1.99 2.83 0.6 0.00 7.77 i.oa 4.84 6.96 5.26 9.4 0.7 1.21 1.99 2.86 0.7 0.00 7.89 0.96 4.96 ' 6.83 5.34 9.3 0.8 1.15 1.99 2.89 0.8 0.00 8.02 0.89 5.07 6.68 5.42 9.2 0.9 1.09 1.98 2.92 0.9 0.01 8.14 0.83 5.19 6.53 5.49 9.1 1.0 1.1 1.2 1.3 1.4 1.03 0.97 0.92 0.86 0.81 1.98 1.97 1.96 1.95 1.93 2.95 2.97 3.00 3.02 3.04 1.0 1.1 12 1.3 1.4 0.01 0.02 0.03 0.04 0.05 8.27 8.39 8.51 8.63 8.76 0.77 0.71 0.66 0.60 0.55 5.31 5.43 5.55 5.68 5.80 6.36 6.18 6.00 5.81 5.61 5.56 5.62 5.68 5.73 5.78 9.0 8.9 8.8 8.7 8.6 1.5 0.06 8.88 0.50 5.92 5.41 5.82 8.5 1.5 0.76 1.92 3.06 1.6 0.07 9.00 0.46 6.04 5.20 5.86 8.4 1.6 0.71 1.90 3.07 1.7 0.09 9.12 0.41 6.16 4.98 5.81 8.3 1.7 0.66 1.89 3.08 1.8 0.11 9.24 0.37 6.29 4.76 5.92 8.2 1.8 0.61 1.87 3.09 1.9 0.14 9.36 0.33 6.41 4.54 5.95 8.1 1.9 0.57 1.85 3.10 2.0 0.16 9.47 0.29 6.53 4.31 5.97 8.0 2.0 052 1.83 3.11 2.1 0.19 9.59 0.26 6.65 4.08 5.99 7.9 2.1 0.48 1.81 3.11 2.2 0.22 9.70 0.23 6.77 3.85 6.00 7.8 2.2 0.44 1.79 3.11 2.3 0.25 9.82 0.20 6.89 3.62 6.00 7.7 2.3 0.40 1.77 3.10 2.4 0.28 9.94 0.17 7.01 3.39 6.00 7.6 2.4 0.37 1.74 3.10 2.5 0.31 10.06 0.14 7.13 3.16 5.99 7.5 2.5 0.33 1.72 3.09 2.6 0.34 10.17 0.12 7.25 2.93 5.98 7.4 2.6 0.30 1.70 3.08 2.7 0.38 10.29 0.10 7.37 2.71 5.96 7.3 2.7 0.27 1.67 3.06 2.8 0.42 10.40 0.08 7.49 2.49 5.94 7.2 2.8 0.24 1.65 3.05 2.9 0.47 10.52 0.06 7.61 2.28 5.92 7.1 2.9 0.22 1.62 3.03 3.0 0.50 10.63 0.04 7.73 2.07 5.89 7.0 3.0 3.1 3.2 3.3 0.19 0.17 0.15 0.14 1.60 1.58 1.55 IJU 3.01 2.98 2.96 2.93 3.1 3.2 3.3 3.4 0.55 0.60 0.65 0.70 10.74 10.85 10.96 11.06 0.03 0.02 0.01 0.01 7.85 7.97 8.08 8.20 1.87 1.68 1.49 1.31 5.8<> 5.82 5.77 5.72 6.9 6.8 6.7 6.6 3.4 0.12 1.50 2.90 3.5 0.75 11.17 0.00 8.31 1.14 5.67 6.5 3.6 0.80 11.27 0.00 8.42 0.99 5.61 6.4 3.5 0.11 1.48 2.87 3.7 0.86 11.38 0.00 8.54 0.84 f>.f>r> 6.8 3.6 0.10 1.46 2.83 3.8 0.92 11.48 0.01 8.65 0.70 ;.. is 6.2 3.7 0.10 l,i:i 2.80 3.9 0.98 11.59 0.01 8.76 0.57 5.41 6.1 3.8 0.09 1.41 2.76 3.9 0.09 1.39 2.72 4.0 1.03 11.69 0.02 8.87 0.45 5.33 6.0 4.1 1.09 11.79 0.03 8.98 0.35 5.25 5.9 4.0 0.09 1.37 2.68 4.2 1.16 11.89 0.04 9.09 0.26 5.17 5.8 4.1 0.10: 1.35 2.63 4.3 1.23 11.99 0.06 9.20 0.18 5.09 5.7 4.2 0.11 1.33 2.59 4.4 1.30 12.08 0.07 !>.:w 0.12 5.00 5.6 4.3 0.12 1.31 2.54 4.4 0.13 1.30 2.49 4.5 1.37 12.18 0.09 9.41 0.07 4.91 5.5 4.6 1.44 12.27 0.11 9.51 0.03 4.81 5.4 4.5 0.14 1.28 2.44 4.7 1.51 12.37 0.13 9.61 0.01 4.71 5.:! 4.6 0.16 1.27 2.39 4.8 1.59 12.46 0.16 9.71 0.00 4.60 5.2 4.7 0.18 1.25 2.34 4.9 1.66 12.55 0.18 iisi 0.01 4.49 5.1 L8 0.20J l.vJI 2.28 5.0 1.74 12.64 0.21 9.91 0.03 4.38 5.0 4.9 5.0 0.23 1.23 0.25 1.22 •J.^:t 2.17 Days. 3O «O :to ao 10 1O Days. 206 TABLES XXXII -XXXVI. TABLE ARGUMENT XXXII. 27. XXXIII. 28. XXXIV. 39. XXXV. 3O. XXXVI. 31. Days 0 1O 20 Day s. O 1O O 10 O O 3ays. Days 5.0 0.25 1.22 2.17 Days. 1.74 12.64 0.21 9.91 0.03 4.38 ' Days. 5.0 5.1 0.28 1.22 2.11 5.1 1.82 12.73 0.24 10.01 0.06 4.27 4.9 5.2 0.31 1.21 2.05 5.2 1.90 12.82 0.27 10.10 0.11 4.16 4.8 5.3 0.34 1.21 1.99 5.3 1.98 12.91 0.31 10.20 0.17 4.05 4.7 5.4 0.37 1.21 1.93 5.4 2.06 12.99 0.35 10.29 0.24 3.93 4.6 5.5 0.40 1.21 1.87 5.5 2.14 13.07 0.39 10.38 0.32 3.81 4.5 5.6 0.43 1.21 1.81 5.6 2.23 13.15 0.44 10.47 0.42 3.69 4.4 5.7 0.47 1.22 .74 5.7 2.32 13.23 0.48 10.56 0.54 3.57 4.3 5.8 0.50 1.22 .67 5.8 2.41 13.31 0.53 10.65 0.66 3.45 4.2 5.9 0.54 1.23 .61 5.9 2.50 13.39 0.58 10.73 0.79 3.33 4.1 6.0 6.1 6.2 6.3 6.4 0.58 0.62 0.66 0.70 0.75 1.24 1.25 1.26 1.28 1.29 .55 .49 .42 .36 1.30 6.0 6.1 62 6.3 6.4 2.59 2.68 2.78 2.88 2.98 13.46 13.54 13.61 13.68 13.75 0.63 0.67 0.75 0.81 0.87 10.82 10.90 10.98 11.06 11.14 0.94 1.10 1.27 1.45 1.63 3.21 3.09 2.97 2.85 2.72 4.0 3.9 3.8 3.7 3.6 6.5 3.08 13.82 0.93 11.22 1.82 2.60 3.5 6.5 0.79 1.31 1.24 6.6 3.18 13.88 1.00 11.29 2.02 2.47 3.4 6.6 0.83 1.33 1.18 6.7 3.28 13.94 1.07 11.36 2.23 2.35 3.3 6.7 0.88 1.35 1.12 6.8 3.38 14.00 1.14 11.43 2.44 2.23 3.2 6.8 0.92 1.37 1.06 6.9 3.48 14.06 1.21 11.50 2.65 2.11 3.1 6.9 0.97 1.40 1.00 7.0 3.59 14.12 1.28 11.57 2.87 2.00 3.0 7.0 1.01 1.42 0.94 7.1 3.69 14.18 1.33 11.63 3.09 1.88 2.9 7.1 1.05 1.45 0.88 7.2 3.80 14.23 1.43 11.69 3.32 1.77 2.8 7.2 1.10 1.48 0.83 7.3 3.90 14.28 1.51 11.75 3.55 1.66 2.7 7.3 1.14 1.51 0.77 7.4 4.01 14.33 1.59 11.81 3.78 1.55 2.6 7.4 1.19 1.54 0.72 7.5 4.12 14.38 1.67 11.87 4.01 1.44 2.5 7.5 1.23 1.57 0.67 7.6 4.23 14.43 1.75 11.92 4.24 1.34 2.4 7.6 1.27 1.61 0.62 7.7 4.34 14.48 1.83 11.98 4.47 1.21 2.3 7.7 1.32 1.64 0.57 7.8 4.45 14.52 1.92 12.03 4.70 1.14 2.2 7.8 1.36 1.68 0.53 7.9 4.56 14.56 2.00 12.08 4.92 1.04 2.1 7.9 1.40 1.72 0.48 8.0 4.67 14.60 2.09 12.13 5.14 0.95 2.0 8.0 8.1 8.2 8.3 1.44 1.48 1.52 1.56 1.76 1.80 1.84 1.88 0.44 0.40 0.37 0.33 8.1 8.2 8.3 8.4 4.78 4.90 5.02 5.14 14.64 14.67 14.71 14.74 2.18 2.27 2.46 12.17 12.21 12.25 12.29 5.35 5.5<5 5.76 5.95 0.86 0.78 0.70 0.62 1.9 1.8 1.7 1.6 8.4 1.59 1.93 0.30 8.5 5.26 14.77 2.55 1233 6.13 0.55 1.5 8.6 5.38 14.80 2.65 12.3« 6.31 0.48 1.4 8.5 1.63 1.97 0.27 8.7 5.50 14.83 2.75 12.39 6.48 0.42 1.3 8.6 1.66 2.01 0.25 8.8 5.62 14.85 2.85 12.42 6.63 0.36 1.2 8.7 1.69 2.06 0.22 8.9 5.74 14.88 2.95 12.45 6.78 0.30 1.1 8.8 1.72 2.10 0.20 8.9 1.75 2.15 0.18 9.0 5.85 14.90 3.05 12.48 6.92 0.25 1.0 9.1 5.97 14.92 3.16 12.50 7.05 0.20 0.9 9.0 1.78 2.19 0.16 9.2 6.08 14.94 3.26 12.52 7.17 0.16 0.8 9.1 1.80 2.23 0.14 9.3 6.20 14.95 3.37 12.54 7.26 0.12 0.7 9.2 1.83 2.28 0.13 9.4 6.32 14.96 3.48 12.55 7.35 0.09 0.6 i 9.3 1.85 2.32 0.12 9.4 1.87 2.37 0.11 9.5 6.44 14.97 3.59 12.57 7.43 0.06 0.5 9.6 6.56 14.98 3.70 12.58 7.49 0.04 0.4 9.5 1.89 2.41 0.11 9.7 6.68 14.99 3.81 12.59 7.54 0.02 0.3 9.6 1.91 2.45 0.10 9.8 6.81 14.99 3.92 12.59 7.57 0.01 0.2 9.7 1.92 2.50 0.10 9.9 6.93 15.00 4.04 12.60 7.59 0.00 0.1 9.8 1.94 2.54 0.10 10.0 7.05 15.00 4.15 12.60 7.60 0.00 0.0 9.9 10.0 1.95 1.96 2.58 2.62 0.10 0.11 Days . 3O 20 3O 20 10 10 1 ays. 207 TABLES XXXVII. - XLII. TABLES XXXVII. ARGUMENTS 32. XXXVIII. 33. XXXK. 34. XL. 35. XLI. 36. XLII. 37. Days. O 0 10 0 10 0 10 0 O 1O Days. Day.. 0.0 0.58 6.54 1.35 2.15 3.36 0.58 2.24 6.86 II 0.0 II 0.45 llav». 10.0 0.1 0.52 0.52 1.39 2.20 3.33 0.61 2.22 0.82 0.0 0.4f 9.9 0.2 0.46 0.48 1.43 2.24 3.29 0.64 2.21 0.77 0.0 0.47 9.8 0.3 0.40 0.46 1.47 2.29 3.25 0.67 2.19 0.73 0.0 0.47 9.7 0.4 0.35 0.43 1.51 2.33 3.22 0.70 2.17 0.69 0.0 0.48 9.6 0.5 0.30 0.41 1.55 2.38 3.18 0.73 2.15 0.65 0.00 0.49 9.5 0.6 0.25 0.39 1.59 2.42 3.15 0.76 2.13 0.61 0.00 0.50 9.4 0.7 0.21 0.36 1.63 2.47 3.11 0.79 2.11 0.57 0.00 0.51 9.3 0.8 0.17 034 1.67 2.51 3.07 0.82 2.09 0.53 0.00 0.51 9.2 0.9 0.13 0.32 1.71 2.56 3.03 0.85 2.07 0.49 0.00 0.52 9.1 1.0 0.10 0.30 1.75 2.60 2.99 0.88 2.05 0.45 0.00 0.53 9.0 1.1 0.07 0.28 1.79 2.65 2.95 0.91 2.03 0.41 0.00 0.5 8.9 1.2 0.05 0.26 1.83 2.69 2.91 0.94 2.01 0.37 0.00 0.55 8.8 1.3 0.03 0.24 1.87 2.74 2.87 0.97 1.99 0.33 0.00 0.5f 8.7 1.4 0.02 0.22 1.91 2.78 2.82 1.00 1.96 0.30 0.00 0.57 8.6 1.5 0.01 0.20 1.95 2.82 2.78 1.03 1.94 0.27 0.00 0.58 8.5 1.6 0.00 0.18 1.99 2.86 2.74 1.06 1.91 0.24 0.00 0.58 8.4 1.7 0.00 0.16 2.03 2.90 2.69 1.09 1.89 0.20 0.00 0.59 8.3 1.8 0.00 0.15 2.07 2.94 2.65 1.19 1.86 0.18 0.00 0.60 8.2 1.9 0.01 0.13 2.11 2.98 2.60 1.16 1.84 0.16 0.00 0.61 8.1 2.0 0.02 0.12 2.15 3.02 2.56 1.19 1.81 0.13 0.00 0.62 8.0 2.1 0.04 0.11 2.19 3.06 2.51 1.22 1.78 0.11 0.00 0.63 7.!) 2.2 0.06 0.09 2.23 3.10 2.47 1.26 1.75 0.09 0.00 0.64 7.8 2.3 0.08 0.08 2.27 3.14 2.42 1.29 1.72 0.07 0.00 0.64 7.7 2.4 0.11 0.07 2.31 3.17 2.38 1.32 1.69 0.06 0.01 0.65 7.6 2.5 0.14 0.06 2.35 3.21 2.33 1.35 1.66 0.04 0.01 0.66 7.5 2.6 0.18 0.05 2.39 3.25 2.28 1.38 1.63 0.03 0.01 0.67 7.4 2.7 0.22 0.01 2.43 3.29 2.24 1.41 1.60 0.02 0.01 0.68 7.3 2.8 0.27 0.03 2.47 3.32 2.19 1.44 1.57 0.01 0.02 0.68 7.2 2.9 0.32 0.03 2.51 3.36 2.15 1.47 1.54 0.01 0.02 0.69 7.1 3.0 0.37 0.02 2.55 3.39 2.10 1.50 1.51 0.00 0.02 0.70 7.0 3.1 0.42 0.02 2.59 3.42 2.05 1.53 1.48 0.00 0.02 0.71 6.9 3.2 0.48 0.01 2.63 3.46 2.01 1.56 1.45 0.00 0.03 0.72 6.8 3.3 0.54 0.01 2.67 3.49 1.96 1.59 1.42 0.00 0.03 0.72 6.7 3.4 0.61 0.00 2.71 3.52 1.92 1.62 1.39 0.01 0.03 0.73 6.6 3.5 0.68 0.00 2.75 3.55 1.87 1.65 1.36 0.02 0.03 0.74 6.5 3.6 0.75 0.00 2.79 3.58 1.82 1.68 1.33 0.03 0.04 0.74 6.4 3.7 0.83 0.00 2.83 3.61 1.78 1.71 1.30 0.01 0.01 0.75 6.3 3.8 0.91 0.00 2.87 3.64 1.73 1.74 1.27 0.05 0.04 0.76 6.2 3.9 0.98 0.00 2.90 3.66 1.69 1.76 1.23 0.06 0.05 0.76 6.1 4.0 1.08 0.00 2.94 3.69 1.64 1.79 1.20 0.08 0.05 0.77 6.0 4.1 1.17 0.00 2.98 3.71 1.60 1.82 1.17 0.10 0.05 0.78 5.9 4.2 1.26 0.00 3.01 8.74 1.55 1.84 1.13 0.12 0.06 0.78 5.8 4.3 L8S 0.01 3.05 3.76 1.51 . 1.87 1.10 0.14 0.06 0.79 5.7 4.4 1.45 0.01 3.08 3.78 1.46 1.89 1.07 0.17 0.07 0.79 5.6 4.5 1.55 0.02 3.12 3.80 1.42 1.92 1.01 0.19 0.07 0.80 5.5 4.6 1.65 0.02 3.16 3.82 1.88 1.94 1.01 0.22 0.08 0.81 5.4 4.7 1.75 0.03 3.19 :s.s I 1.88 1.97 0.98 Q.25 0.08 0.81 5.3 4.8 1.85 0.03 :(.v2.-i 3.86 1.29 1.99 0.06 ().',!* 0.09 0.82 5.2 4.9 1.95 0.04 3.26 3.87 1.24 2.02 0.92 o.:ti 0.09 0.81 5.1 5.0 2.06 0.05 3.29 &89 1.20 2.04 0.89 O.:M 0.10 0.83 5.0 Days. 1O 30 20 30 20 30 SO 10 3O 2O Days. 208 TABLES XXXVII. - XLII. TABLES XXXVII. ARGUMENTS 32. XXXVIII. 33. XXXIX. 34. XL. 35. XLI. 36. XLII. 37. Days. O 0 1O O 1O O 1O O O 1O Days. l>avs. 5.0 2.06 0.05 3.29 3.89 1.20 2.04 0.89 0.34 0.10 0.83 Days. 5.0 5.1 2.17 0.06 3.32 3.90 1.16 2.06 0.86 0.37 0.11 0.84 4.9 5.2 2.28 0.07 3.36 3.92 1.11 2.08 0.83 0.41 0.11 0.84 4.8 5.3 2.39 0.08 3.39 3.93 1.07 2.10 0.80 0.45 0.12 0.85 4.7 5.4 2.50 0.10 3.42 3.94 1.03 2.12 0.78 0.49 0.12 0.85 4.6 5.5 2.61 0.11 3,15 3.95 0.99 2.14 0.75 0.53 0.13 0.86 4.5 5.6 2.73 0.12 3.48 3.96 0.95 2.16 0.72 0.57 0.14 0.87 4.4 5.7 2.84 0.14 3.51 3.97 0.91 2.18 0.69 0.61 0.14 0.87 4.3 5.8 2.96 0.15 3.54 3.98 0.87 2.20 0.67 0.65 0.15 0.88 4.2 5.9 3.07 0.16 3.57 3.98 0.84 2.21 0.64 0.69 0.15 0.88 4.1 6.0 3.19 0.18 3.60 3.99 0.80 2.23 0.61 0.74 0.16 0.89 4.0 6.1 3.30 0.20 3.63 3.99 0.76 2.24 0.58 0.78 0.17 0.89 3.9 6.2 3.41 0.22 3.66 4.00 0.72 2.26 0.56 0.83 0.17 0.90 3.8 6.3 3.52 0.24 3.68 4.00 0.69 2.27 0.53 0.87 0.18 0.90 3.7 6.4 3.63 0.26 3.71 4.00 0.65 2.29 0.51 0.92 > 0.18 0.91 3.6 6.5 3.74 0.28 3.73 4.00 0.62 2.30 0.48 0.96 0.19 0.91 3.5 6.6 3.85 0.30 3.76 4.00 0.59 2.31 0.46 1.01 0.20 0.92 3.4 6.7 3.96 0.32 3.78 4.00 0.55 2.33 0.43 1.06 0.20 0.92 3.3 6.8 4.06 0.35 3.81 3.99 0.52 2.34 0.41 1.11 0.21 0.93 3.2 6.9 4.17 0.37 3.83 3.99 0.49 2.35 0.38 1.16 0.21 0.93 3.1 7.0 4.27 0.40 3.85 3.98 0.46 2.36 0.36 1.20 0.22 0.94 3.0 7.1 4.37 0.42 3.87 3.97 0.43 2.37 034 1.25 0.23 0.94 2.9 7.2 4.47 0.45 3.89 3.97 0.40 2.37 0.31 1.29 0.23 0.95 2.8 7.3 4.57 0.47 3.91 3.96 0.37 2.38 0.29 1.33 0.24 0.95 2.7 7.4 4.67 0.50 3.93 3.95 0.35 2.38 0.27 1.37 0.25 0.95 2.6 7.5 4.76 0.53 3.95 3.94 0.32 2.39 0.25 1.41 0.25 0.96 2.5 7.6 4.85 0.56 3.97 3.93 0.30 2.39 0.23 1.45 0.26 0.96 2.4 7.7 4.94 0.58 3.99 3.92 0.27 2.40 0.21 1.49 0.27 0.96 2.3 7.8 5.02 0.61 4.01 3.90 0.25 2.40 0.19 1.53 0.27 0.97 2.2 7.9 5.10 0.64 4.02 3.89 0.23 2.40 0.18 1.57 0.28 0.97 2.1 8.0 5.18 0.67 4.04 3.87 0.21 2.40 0.16 1.61 0.29 0.97 2.0 8.1 5.26 0.70 4.06 3.85 0.19 2.40 0.15 1.65 0.30 0.97 1.9 8.2 5.33 0.73 4.07 3.84 0.17 2.40 0.13 1.68 0.31 0.98 1.8 8.3 5.40 0.76 4.09 3.82 0.15 2.40 0.12 1.71 0.31 0.98 1.7 8.4 5.47 0.79 4.10 3.80 0.14 2.39 0.10 1.74 0.32 0.98 1.6 8.5 5.53 0.82 4.11 3.78 0.12 2.39 0.09 1.77 0.33 0.98 1.5 8.6 5.59 0.85 4.12 3.76 0.10 2.38 0.08 1.80 0.34 0.98 1.4 8.7 5.65 0.88 4.13 3.73 0.09 2.38 0.07 1.83 0.35 0.99 1.3 8.8 5.70 0.91 4.14 3.71 0.07 2.37 0.06 1.85 0.35 0.99 1.2 8.9 5.75 0.95 4.15 3.69 0.06 2.37 0.05 1.87 0.36 0.99 1.1 9.0 5.79 0.98 4.16 3.66 0.05 2.36 0.04 1.89 0.37 0.99 1.0 9.1 5.83 1.01 4.17 3.64 0.04 2.35 0.03 1.91 0.38 0.99 0.9 9.2 5.86 1.05 4.18 3.61 0.03 2.34 0.03 1.93 0.39 0.99 0.8 9.3 5.89 1.08 4.18 3.58 0.02 2.33 0.02 1.95 0.39 0.99 0.7 9.4 5.92 1.12 4.19 3.55 0.02 2.32 0.02 1.96 0.40 1.00 0.6 9.J 5.94 1.16 4.19 3.52 0.01 2.31 0.01 1.97 • 0.41 1.00 0.5 9.6 5.96 1.20 4.19 3.49 0.01 2.30 0.01 1.98 0.42 1.00 0.4 9.7 5.98 1.23 4.20 3.46 0.00 2.28 0.01 1.99 0.43 1.00 0.3 9.8 5.99 1.27 4.20 3.43 000 2.27 0.00 1.99 0.43 1.00 0.2 9.9 600 1.31 4.20 3.39 0.00 2.25 0.00 2.00 0.44 1.00 0.1 10.0 6.00 1.35 4.20 3.36 0.00 2.24 0.00 2.00 0.45 1.00 0.0 Days. 1O 3O 2O 3O 2O 3O 2O 10 3O 20 Days. 209 TABLES XLIII.-L. TABLES XLIII. XLIV. XLV. ARGUMENTS 3§. 39. 4O. XLVI. XLVII. XLVin. XLIX. 41. 42. 43. 44. L. 45. Day I. 0 o IO 0 o O o 0 IO 0 Days. Days. 0.0 6.03 1.12 6.75 II 0.77 6.10 6.60 6.17 6.09 6.58 It 0.17 Days. 10.0 0.1 0.02 1.13 0.74 0.78 0.08 0.60 0.21 0.10 0.58 0.19 9.9 0.2 0.01 1.13 0.73 0.79 0.07 0.59 0.25 0.10 0.57 0.21 9.8 0.3 0.01 1.14 0.71 0.80 0.05 0.59 0.30 0.11 0.57 0.24 9.7 0.4 0.00 1.15 0.70 0.80 0.04 0.58 0.35 0.11 0.56 0.26 9.6 0.5 0.00 1.15 0.69 0.80 0.03 0.58 0.40 0.12 0.56 0.28 9.5 0.6 0.00 1.15 0.68 0.80 0.02 0.57 0.45 0.13 0.56 0.30 9.4 0.7 0.00 1.16 0.67 0.80 0.01 0.56 0.50 0.13 0.55 0.32 9.3 0.8 0.00 1.16 0.66 0.79 0.01 0.55 0.55 0.14 0.55 0.34 9.2 0.9 0.01 1.17 0.65 0.79 0.00 0.54 0.60 0.14 0.54 0.35 9.1 1.0 0.01 1.17 0.64 0.78 0.00 0.53 0.65 0.15 0.54 0.36 9.0 1.1 0.02 1.17 0.63 0.77 0.00 0.52 0.70 0.16 0.53 0.37 8.9 1.2 0.03 1.17 0.62 0.76 0.00 0.50 0.75 0.17 0.53 0.38 8.8 1.3 0.04 1.18 0.61 0.75 0.00 0.48 0.80 0.17 0.52 0.39 8.7 1.4 0.05 1.18 0.60 0.74 0.01 0.47 0.85 0.18 0.52 0.40 8.6 1.5 0.06 1.18 0.59 0.73 0.02 0.45 0.89 0.19 0.51 0.40 8.5 1.6 0.08 1.18 0.58 0.71 0.03 0.44 0.93 0.20 0.50 0.40 8.4 1.7 0.10 1.18 0.57 0.69 0.04 0.42 0.97 0.21 0.50 0.40 8.3 1.8 0.12 1.19 0.55 0.67 0.06 0.41 1.01 0.21 0.49 0.39 8.2 1.9 0.14 1.19 0.54 0.65 0.07 0.39 1.05 0.22 0.49 0.38 8.1 2.0 0.16 1.19 0.53 0.63 0.09 0.37 1.08 0.23 0.48 0.37 8.0 2.1 0.18 1.19 0.52 0.61 0.11 0.35 .11 0.24 0.47 0.36 7.9 2.2 0.21 1.19 0.51 0.59 0.13 0.33 .14 0.25 0.46 0.35 7.8 2.3 0.23 1.20 0.50 0.57 0.15 0.31 .16 0.25 0.46 0.33 7.7 2.4 0.26 1.20 0.49 0.54 0.17 0.30 .17 0.26 0.45 0.31 7.6 2.5 0.28 1.20 0.48 0.52 0.19 0.28 .18 0.27 0.44 0.29 7.5 2.6 0.31 1.20 0.47 0.49 0.22 0.27 .19 0.28 0.43 0.27 7.4 2.7 0.33 1.20 0.46 0.46 0.24 0.25 .20 0.29 0.42 0.25 7.3 2.8 0.36 1.20 0.45 0.43 0.27 0.23 .20 0.29 0.42 0.23 7.2 2.9 0.38 1.20 0.44 0.40 0.29 0.21 .20 0.30 0.41 0.21 7.1 3.0 0.41 1.20 0.43 0.38 0.32 0.19 .19 0.31 0.40 0.19 7.0 3.1 0.44 1.20 0.42 0.35 0.35 0.17 .17 0.32 0.39 0.17 6.9 3.2 0.47 1.20 0.41 0.33 0.38 0.15 .15 0.33 0.38 0.14 6.8 3.3 0.50 1.19 0.40 0.30 0.41 0.13 .13 0.33 0.38 0.12 6.7 3.4 0.52 1.19 0.39 0.28 0.43 0.12 .10 0.34 0.37 0.10 6.6 3.5 0.55 1.19 0.38 0.25 0.46 0.10 .07 0.35 0.36 0.08 6.5 3.6 0.57 1.19 0.37 0.23 0.49 0.09 .04 0.36 0.35 0.06 6.4 3.7 0.59 1.19 0.36 0.20 0.52 0.08 .00 0.37 0.34 0.05 6.3 3.8 0.61 1.18 0.35 0.18 0.54 0.07 0.96 0.37 0.34 0.04 6.2 3.9 0.63 1.18 0.34 0.16 0.57 0.06 0.92 0.38 0.33 0.03 6.1 4.0 0.65 1.18 0.33 0.14 0.59 0.05 0.87 0.39 0.32 0.02 6.0 4.1 0.67 1.18 0.32 0.12 0.62 0.04 0.82 0.40 0.31 0.01 5.9 4.2 0.69 1.18 0.31 0.10 0.64 0.03 0.77 0.41 0.30 0.01 5.8 4.3 0.71 1.17 0.30 0.08 0.66 0.02 0.72 0.41 0.30 0.00 5.7 4.4 0.73 1.17 0.29 0.07 0.68 0.02 0.67 0.42 0.29 0.00 5.6 4.5 0.75 1.17 • 0.28 0.05 0.70 0.01 0.62 0.43 0.28 0.01 5.5 4.6 0.76 1.17 0.27 0.04 0.72 0.01 0.57 0.44 0.27 0.01 5.4 4.7 0.77 1.16 0.26 0.03 0.74 0.00 0.52 0.45 0.26 0.02 5.3 4.8 0.78 1.16 0.25 0.02 0.75 0.00 0.47 0.45 0.26 0.03 5.2 4.9 0.79 1.15 0.24 0.01 0.76 0.00 0.42 0.46 0.25 0.01 5.1 5.0 0.79 1.15 0.23 0.01 0.77 0.00 0.37 0.47 0.2 1 0.05 5.0 Daj s. 10 3O »0 10 10 10 10 3O 30 1 10 Days. 210 TABLES XLIII.-L. TABLES XLIII. XLIV. ARGUMENTS 38. 39. XLV. XLVI. XLVII. XLVIII. XLIX. 4O. 41. 42. 43. 44. L. 45. Days. O 0 1O O O O O o 10 O Days. Days. 1) I u 1 II II II 1 (' II Days. 5.0 0.79 1.15 0.23 0.01 0.77 0.00 0.37 0.47 0.24 0.05 5.0 5.1 0.80 1.15 0.22 0.00 0.78 0.00 0.32 0.48 0.23 0.06 4.9 5.2 0.80 1.14 0.21 0.00 0.79 0.00 0.28 0.48 0.22 0.08 4.8 5.3 0.80 1.14 0.21 0.00 0.80 0.00 0.24 0.49 . 0.22 0.10 4.7 5.4 0.80 1.13 0.20 0.00 0.80 0.01 0.20 0.49 0.21 0.12 4.6 5.5 0.80 1.13 0.19 0.00 0.80 0.01 0.16 0.50 0.20 0.14 4.5 5.6 0.79 1.12 0.18 0.01 0.80 0.02 0.13 0.51 0.19 0.16 4.4 5.7 0.79 1.12 0.17 0.02 0.80 0.03 0.10 0.51 0.18 0.18 4.3 5.8 0.78 1.11 0.17 0.03 0.79 0.04 0.07 0.52 0.18 0.20 4.2 5.9 0.77 1.10 0.16 0.04 0.78 0.05 0.05 0.52 0.17 0.23 4.1 6.0 0.76 1.10 0.15 0.05 0.77 0.06 0.03 0.53 0.16 0.25 4.0 6.1 0.75 1.09 0.14 0.06 0.76 0.07 0.02 0.53 0.15 0.27 3.9 6.2 0.73 1.09 0.14 0.08 0.75 0.09 0.01 0.54 0.15 0.29 3.8 6.3 0.72 1.08 0.13 0.09 0.74 0.10 0.00 0.54 0.14 0.31 3.7 6.4 0.70 1.07 0.13 0.11 0.72 0.12 0.00 0.55 0.14 0.33 3.6 6.5 0.68 1.07 0.12 0.13 0.71 0.13 0.00 0.55 0.13 0.35 3.5 6.6 0.66 1.06 0.12 0.15 0.69 0.15 0.01 0.55 0.12 0.36 3.4 6.7 0.64 1.05 0.11 0.17 0.67 0.16 0.02 0.56 0.12 0.37 3.3 6.8 0.62 1.05 0.10 0.19 0.65 0.18 0.04 0.56 0.11 0.38 3.2 6.9 0.60 1.04 0.09 0.21 0.63 0.19 0.06 0.57 0.11 0.39 3.1 7.0 0.57 1.03 0.09 0.24 0.60 0.21 0.09 0.57 0.10 0.40 3.0 7.1 0.55 1.02 0.08 0.26 0.58 0.23 0.12 0.57 0.09 0.40 2.9 7.2 0.52 1.01 0.07 0.29 0.55 0.25 0.15 0.58 0.09 0.40 2.8 7.3 0.50 1.01 0.07 0.31 0.53 0.27 0.19 0.58 0.08 0.40 2.7 7.4 0.47 1.00 0.06 0.34 0.50 0.29 0.23 0.59 0.08 0.39 2.6 7.5 0.44 0.99 0.06 0.36 0.47 0.31 0.27 0.59 0.07 0.38 2.5 7.6 0.41 0.98 0.06 0.39 0.44 0.33 0.31 0.59 0.06 0.37 2.4 7.7 0.38 0.97 0.05 0.41 0.41 0.35 0.36 0.59 0.06 0.36 2.3 7.8 0.36 0.97 0.05 0.44 0.39 0.37 0.41 0.60 0.05 0.35 2.2 7.9 0.33 0.96 0.04 0.46 0.36 0.39 0.46 0.60 0.05 0.31 2.1 8.0 0.31 0.95 0.04 0.49 0.34 0.40 0.51 0.60 0.04 0.32 2.0 8.1 0.28 0.94 0.04 0.52 0.31 0.42 0.56 0.60 0.04 0.30 1.9 8.2 0.26 0.93 0.03 0.55 0.28 0.43 0.61 0.60 0.03 0.28 1.8 8.3 0.23 0.92 0.03 0.58 0.25 0.45 0.66 0.60 0.03 0.26 1.7 8.4 0.21 0.91 0.02 0.60 0.23 0.46 0.71 0.60 0.02 0.24 1.6 8.5 0.18 0.90 0.02 0.62 0.20 0.48 0.76 0.60 0.02 0.22 1.5 8.6 0.16 0.89 0.02 0.64 0.18 0.49 0.81 0.60 0.02 0.20 1.4 8.7 0.14 0.88 0.02 0.66 0.15 0.51 0.86 0.60 0.02 0.18 1.3 8.8 0.12 0.87 0.01 0.68 0.13 0.52 0.91 0.60 0.01 0.15 1.2 8.9 0.10 0.86 0.01 0.70 0.11 0.53 0.95 0.60 0.01 0.13 1.1 9.0 0.09 0.85 0.01 0.71 0.09 0.54 0.99 0.60 0.01 0.11 1.0 9.1 0.07 0.84 0.01 0.73 0.07 055 1.03 0.60 0.01 0.09 0.9 9.2 0.06 0.83 0.01 0.74 0.06 0.56 1.06 0.60 0.01 0.07 0.8 9.3 0.04 0.82 0.00 0.75 0.05 0.57 1.09 0.59 0.00 0.05 0.7 9.4 0.03 0.81 0.00 0.76 0.04 0.58 1.12 0.59 0.00 0.04 0.6 9.5 0.02 0.80 0.00 0.77 0.03 0.59 1.14 0.59 0.00 0.03 0.5 9.6 0.01 0.79 0.00 0.78 0.02 0.59 1.16 0.59 0.00 0.02 0.4 9.7 0.00 0.78 0.00 0.79 0.01 0.60 1.18 0.59 0.00 0.01 0.3 9.8 0.00 0.77 0.00 0.79 0.01 0.60 1.19 0.58 0.00 001 0.2 9.9 0.00 0.76 0.00 0.80 0.00 0.60 1.20 0.58 0.00 0.00 0.1 10.0 0.00 0.75 0.00 0.80 0.00 0.60 1.20 0.58 0.00 0.00 0.0 Days. 1O 30 20 10 10 10 10 3O 2O 1 0 Days. 211 TABLES LI.-LVII. TABLES LI. ARGUMENTS 46. LIT. 47. LIII. 48. LJV. 49. LV. 50. LVL 51. Lvn. 52. Day s. O 10 0 O O 0 10 0 O 10 1 lays. Davs. 0.0 0.54 0.61 0.96 0.75 6.16 0.28 0.73 6.03 i'.26 6.21 10.0 0.1 0.55 0.60 0.90 0.76 0.17 0.29 0.72 0.03 1.23 0.22 9.9 0.2 0.56 0.60 0.85 0.78 0.18 0.30 0.72 0.02 1.21 0.24 9.8 0.3 0.56 0.59 0.79 0.79 0.19 0.31 0.71 0.02 1.18 0.25 9.7 0.4 0.57 0.59 0.74 0.81 0.20 0.32 0.70 0.01 1.16 0.27 9.6 0.5 0.58 0.58 0.69 0.82 0.21 0.33 0.70 0.01 1.13 0.29 9.5 0.6 0.59 0.57 0.64 0.83 0.22 0.34 0.69 0.01 1.11 0.31 9.4 0.7 0.59 0.56 0.59 0.85 0.23 0.35 0.68 0.00 1.08 0.32 9.8 0.8 0.60 0.56 0.54 0.86 0.24 0.36 0.68 0.00 1.06 0.31 9.2 0.9 0.60 0.55 0.50 0.88 0.25 0.37 0.67 0.00 1.03 0.36 9.1 .0 0.61 0.54 0.45 0.89 0.26 0.38 0.66 0.00 1.01 0.38 9.0 .1 0.62 0.53 0.41 0.90 0.27 0.39 0.65 0.00 0.98 0.40 8.9 .2 0.63 0.52 0.37 0.91 0.28 0.40 0.64 0.01 0.96 0.42 8.8 .3 0.63 0.52 0.33 0.93 0.28 0.41 0.63 0.01 0.93 0.44 8.7 .4 0.64 0.51 0.30 0.94 0.29 0.42 0.63 0.01 0.91 0.46 8.6 .5 0.65 0.50 0.26 0.95 0.30 0.43 0.62 0.02 0.88 0.48 8.5 .6 0.66 0.49 0.23 0.96 0.31 0.44 0.61 0.02 0.86 0.50 8.4 1.7 0.66 0.48 0.20 0.97 0.32 0.45 0.60 0.03 0.83 0.52 8.3 1.8 0.67 0.48 0.17 0.97 0.32 0.46 0.59 0.03 0.81 0.54 8.2 1.9 0.67 0.47 0.15 0.98 0.33 0.47 0.58 0.04 0.78 0.57 8.1 2.0 0.68 0.46 0.12 0.99 0.34 0.48 0.57 0.05 0.76 0.59 8.0 2.1 0.69 0.45 0.10 0.99 0.35 0.49 0.56 0.06 0.73 0.61 7.9 2.2 0.69 0.44 0.08 0.99 0.35 0.50 0.55 0.07 0.71 (Mil 7.8 2.3 0.70, 0.44 0.06 1.00 0.36 0.51 0.54 0.08 0.68 0.66 7.7 2.4 0.70 0.43 0.05 1.00 0.36 0.52 0.53 0.09 0.66 0.69 7.6 2.5 0.71 0.42 0.03 1.00 0.37 0.53 0.52 0.10 0.64 0.71 7.5 2.6 0.72 0.41 0.02 1.00 0.37 0.53 0.51 0.11 0.62 0.73 7.4 2.7 0.72 0.40 0.01 1.00 0.38 0.54 0.50 0.13 0.59 0.76 7.3 2.8 0.73 0.40 0.01 0.99 0.38 0.55 0.49 0.14 0.57 0.78 7.2 2.9 0.73 0.39 0.00 0.99 0.39 0.56 0.48 0.15 0.55 0.81 7.1 3.0 0.74 0.38 0.00 0.99 0.39 0.57 0.47 0.16 0.53 0.83 7.0 3.1 0.74 0.37 0.01 0.98 0.39 0.58 ' 0.46 0.18 0.50 O.,sf> 6.9 3.2 0.75 0.36 0.01 0.98 0.39 0.59 0.45 0.19 0.49 O.NS (i.S 3.3 0.75 0.36 0.02 0.97 040 0.59 0.44 0.21 0.47 0.90 6.7 3.4 0.76 0.35 0.03 0.97 0.40 0.60 0.43 0.22 0.45 0.93 6.6 3.5 0.76 0.34 0.04 0.96 0.40 0.61 0.42 0.24 0.43 0.95 6.5 3.6 0.76 0.33 0.06 0.95 0.40 0.62 0.41 0.26 0.41 0.98 6.4 3.7 0.77 0.32 0.08 0.94 0.40 0.63 0.40 0.27 0.39 1.00 6.3 3.8 0.77 0.32 0.10 0.93 0.40 0.63 0.39 0.28 0.37 LOS 6.2 3.9 0.78 0.31 0.12 0.92 0.40 0.64 0.38 0.29 0.35 1.05 6.1 4.0 0.78 0.30 0.14 0.91 0.40 0.65 0.37 0.30 0.33 1.08 6.0 4.1 0.78 0.29 0.17 0.90 0.40 0.66 0.36 0.31 0.31 1.10 5.9 4.2 0.78 0.28 0.20 0.88 0.39 0.66 0.35 0.32 0.29 1.13 5.8 4.3 0.79 0.28 0.23 O.S7 0.39 0.67 0.84 <>.:n 0.28 1.15 5.7 4.4 0.79 0.27 0.27 0.85 0.38 0.68 ().:{;{ o.:i i 0.26 1.18 5.6 4.5 0.79 0.26 0.30 0.84 0.3N 0.68 0.32 0.35 0.25 .20 5.5 4.6 0.79 0.25 0.34 0.82 0.37 0.69 0.32 0.36 0.23 .22 5.4 4.7 0.79 0.24 0.38 0.80 0.37 0.70 0.31 0.37 0.21 .25 5.3 4.8 O.xo 0.24 0.42 0.79 0.36 0.70 0.30 0.38 0.20 .27 5.2 4.9 O.HO 0.23 0.47 0.77 0.36 0.71 0.29 0.38 0.18 .:!() 5.1 5.0 0.80 • 0.22 0.51 0.75 0.35 0.72 O.-JS 0.39 0.17 .32 5.0 Daj •s. 3O 20 10 10 10 30 20 10 30 2O I )ays. NOTB. — Arg. 48' = Arg. 48 — 6.26. / 010 TABLES LI.-LVII. TABLES LI. ARGUMENTS 46. LIT. 47. LIII. 48'. LIV. 49. LV. 5O. LVI. 51. LVII. 52. Days. O 1O O 0 O O 1O 0 O 1O Days. IVdVS. 5.0 0.80 0.22 0.51 0.75 0.35 0.72 0.28 0.39 0.17 i'.32 Days. 5.0 5.1 0.80 0.21 0.56 0.73 0.34 0.72 0.27 0.39 0.16 1.34 4.9 5.2 0.80 0.20 0.61 0.71 0.34 0.73 0.26 0.39 0.14 1.36 4.8 5.3 0.80 0.20 0.66 0.69 0.33 0.73 0.25 0.40 0.13 1.39 4.7 5.4 0.80 0.19 0.71 0.67 0.33 0.74 0.24 0.40 0.12 1.41 4.6 5.5 0.80 0.18 0.76 0.65 0.32 0.74 0.23 0.40 0.11 1.43 4.5 5.6 0.80 0.17 0.81 0.63 0.31 0.75 0.23 0.40 0.10 1.45 4.4 5.7 0.80 0.16 0.86 0.61 0.30 0.75 0.22 0.39 0.09 1.47 4.3 5.8 0.80 0.16 0.92 0.59 0.30 0.76 0.21 0.39 0.08 1.50 4.2 5.9 0.80 0.15 0.97 0.57 0.29 0.76 0.20 0.39 0.07 1.52 4.1 6.0 0.80 0.14 1.03 0.55 0.28 0.77 0.19 0.38 0.06 1.54 4.0 6.1 0.80 0.13 1.09 0.53 0.27 0.77 0.18 0.38 0.05 1.56 3.9 6.2 0.80 0.13 1.14 0.51 0.26 0.78 0.17 0.37 0.04 .1.58 3.8 6.3 0.79 0.12 1.20 0.49 0.25 0.78 0.17 0.36 0.03 1.60 3.7 6.4 0.79 0.12 1.26 0.47 0.24 0.78 0.16 0.35 0.03 1.62 3.6 6.5 0.79 0.11 1.32 0.45 0.23 0.79 0.15 0.34 0.02 1.64 3.5 6.6 0.79 0.10 1.38 0.43 0.22 0.79 0.14 0.33 0.02 1.66 3.4 6.7 0.79 0.10 1.44 0.41 0.21 0.79 0.14 0.32 0.01 1.68 3.3 6.8 0.78 0.09 1.50 0.39 0.20 0.80 0.13 0.31 0.01 1.69 3.2 6.9 0.78 0.09 1.55 0.37 0.19 0.80 0.12 0.30 0.01 1.71 3.1 7.0 0.78 0.08 1.61 0.35 0.18 0.80 0.11 0.29 0.00 1.73 3.0 7.1 0.78 0.08 1.67 0.33 0.17 0.80 0.10 0.28 0.00 1.75 2.9 '7.2 0.77 0.07 1.72 0.31 0.16 0.80 0.10 0.27 0.00 1.76 2.8 7.3 0.77 0.07 1.78 0.29 0.15 0.80 0.09 0.26 0.00 1.78 2.7 7.4 0.76 0.06 1.83 0.27 0.14 0.80 0.09 0.24 0.00 1.79 2.6 7.5 0.76 0.06 1.88 0.25 0.13 0.80 0.08 0.22 0.00 1.81 2.5 7.6 0.76 0.06 1.93 0.23 0.12 0.80 0.07 0.21 0.00 1.R2 2.4 7.7 0.75 0.05 1.98 0.21 0.11 0.80 0.07 0.19 0.01 1.84 2.3 7.8 0.75 0.05 2.03 0.20 0.11 0.80 0.06 0.18 0.01 1.85 2.2 7.9 0.74 0.04 2.07 0.18 0.10 0.80 0.06 0.16 0.01 1.87 2.1 8.0 0.74 0.04 2.12 0.16 0.09 0.80 0.05 0.15 0.01 1.88 2.0 8.1 0.73 0.04 2.16 0.15 0.08 0.80 0.05 0.14 0.02 1.89 1.9 8.2 0.73 0.03 2.20 0.13 0.07 0.80 0.01 013 0.02 1.90 1.8 8.3 0.72 0.03 2.24 0.12 007 0.80 0.04 O.il 0.03 1.91 1.7 8.4 0.72 0.02 2.28 0.10 0.06 0.79 0.03 0.10 0.03 1.92 1.6 8.5 0.71 0.02 2.32 0.09 0.05 0.79 0.03 0.09 0.04 1.93 1.5 8.6 0.70 0.02 2.35 0.08 0.04 0.79 0.02 0.08 0.05 1.94 1.4 8.7 0.70 0.02 2.38 0.07 0.04 0.79 0.02 0.07 0.05; 1.95 1.3 8.8 0.69 0.01 2.41 0.06 0.03 0.78 0.02 0.06 0.06 1.96 1.2 8.9 0.69 0.01 2.44 0.05 0.03 0.78 0.01 0.05 0.07 1.96 1.1 9.0 0.68 0.01 2.47 0.04 0.02 0.78 0.01 0.04 0.08 1.97 1.0 9.1 0.67 0.01 2.49 0.03 0.02 0.77 0.01 0.03 0.09 1.97 0.9 9.2 0.67 0.01 2.51 0.03 0.02 0.77 0.01 0.03 0.10 1.98 0.8 9.3 0.66 0.00 2.53 0.02 0.01 0.76 0.01 0.02 0.11 1.98 0.7 9.4 0.66 0.00 2.55 0.02 0.01 0.76 0.00 0.02 0.13 1.99 0.6 9.5 0.65 0.00 2.57 0.01 0.01 0.75 0.00 0.01 0.14 1.99 0.5 9.6 0.64 0.00 2.58 0.01 0.01 0.75 0.00 0.01 0.15 1.99 0.4 9.7 0.63 0.00 2.59 0.01 0.00 0.74 0.00 0.01 0.16 2.00 0.3 9.8 0.63 0.00 2.59 0.00 0.00 0.74 0.00 0.00 0.18 2.00 0.2 9.9 0.62 0.00 2.60 0.00 0.00 0.73 0.00 0.00 0.19 2.00 0.1 10.0 0.61 0.00 2.60 0.00 0.00 0.73 0.00 0.00 0.21 2.00 0.0 Days. 3O 2O 10 10 10 3O 2O 10 3O 2O Days. NOTE. — Arg. 48' = Are. 48 — 6.26. 213 TABLES LVIII.-LXII. TABLES ARGUMENTS LVIII. S3. LIX. 54. LX. an. LXI. 56. LXII. St. Days . 0 10 30 30 40 SO O 0 O O I )ays. Days. 0.0 5.19 4.92 4.00 2.69 n 1.35 0.37 0.64 0.01 0.65 0.88 Hays. 10.0 0.1 5.19 4.91 3.99 2.67 1.34 0.36 0.73 0.00 0.68 0.80 9.9 0.2 5.19 4.91 3.98 2.66 1.33 0.36 0.83 0.00 0.71 0.71 9.8 0.3 5.19 4.90 3.97 2.65 1.31 0.35 0.92 0.00 0.75 0.6-2 9.7 0.4 5.19 4.90 3.95 2.63 1.30 0.34 1.02 0.01 0.78 0.53 9.6 0.5 5.19 4.89 3.94 2.62 1.29 0.34 .12 0.02 0.81 0.45 9.5 0.6 5.20 4.88 3.93 2.61 1.28 0.33 .22 0.04 0.84 0.37 9.4 0.7 5.20 4.87 3.92 2.59 1.27 0.32 .32 0.05 0.87 0.30 9.3 0.8 5.20 4.87 3.91 2.58 1.25 0.32 .42 0.07 0.91 0.23 9.2 0.9 5.20 4.86 3.89 2.57 1.24 0.31 .52 0.10 0.94 0.17 9.1 1.0 5.20 4.85 3.88 2.55 1.23 0.30 .61 0.12 0.97 0.12 9.0 1.1 5.20 4.84 3.87 2.54 1.22 0.30 .70 0.15 1.00 0.08 8.9 1.2 5.20 4.84 3.86 2.52 1.21 0.29 1.79 0.19 1.03 0.04 8.8 1.3 5.20 4.83 3.85 2.51 1.19 0.28 1.88 0.22 1.06 0.02 8.7 1.4 5.20 4.83 3.83 2.50 1.18 0.28 1.96 0.26 1.09 0.01 8.6 1.5 5.20 4.82 3.82 2.48 1.17 0.27 2.03 0.30 1.12 0.00 8.5 1.6 5.20 4.81 3.81 2.47 1.16 0.26 2.10 0.35 1.15 0.00 8.4 1.7 5.->0 4.80 3.80 2.45 1.15 0.26 2.16 0.39 1.17 0.01 8.3 1.8 5.20 4.80 3.79 2.44 1.13 0.25 2.22 0.44 1.20 0.04 8.2 ' 1.9 5.20 4.79 3.77 2.43 1.12 0.24 2.27 0.49 1.22 0.08 8.1 2.0 5.20 4.78 3.76 2.41 1.11 0.24 2.31 0.54 • 1.24 0.12 8.0 2.1 5.20 4.77 3.75 2.40 1.10 0.23 2.34 0.59 1.26 0.17 7.9 2.2 5.20 4.76 3.74 2.38 1.09 0.22 2.37 0.65 1.28 0.23 7.8 2.3 5.20 4.76 3.72 2.37 1.08 0.22 2.39 0.70 1.30 0.29 7.7 2.4 5.20 4.75 3.71 2.36 1.07 0.21 2.40 0.76 1.31 0.36 7.6 2.5 5.20 4.74 3.70 2.34 1.06 0.20 2.40 0.82 1.33 0.44 7.5 2.6 5.19 4.73 3.68 2.33 1.04 0.20 2.39 0.88 1.34 0.52 7.4 2.7 5.19 4.73 3.67 2.31 1.03 0.19 2.37 0.94 1.35 ().(!() 7.3 2.8 5.19 4.72 3.66 2.30 1.02 0.19 2.35 .00 1.36 0.69 7.2 2.9 5.19 4.71 3.64 2.29 1.01 0.18 2.32 .06 1.37 0.78 7.1 3.0 5.19 4.70 3.63 2.27 1.00 0.18 2.28 .12 1.38 0.87 7.0 3.1 5.19 4.69 3.62 2.26 0.99 0.17 2.23 .17 1.38 0.96 (i!) 3.2 5.19 4.68 3.60 2.24 0.98 0.17 2.18 .23 1.39 .04 6.8 3.3 5.18 4.67 3.59 2.23 0.97 0.16 2.12 1.28 1.40 .12 6.7 3.4 5.18 4.66 3.58 2.22 0.96 0.16 2.05 1.33 1.40 .20 6.6 3.5 5.18 4.65 3.56 2.20 0.95 0.15 1.98 1.38 1.39 .28 6.5 3.6 5.18 4.65 3.55 2.19 0.93 0.15 1.90 1.42 1.39 .35 6.4 3.7 5.18 4.64 .-{..-) t 2.17 0.92 0.14 1.82 1.47 1.38 .41 6.3 3.8 5.17 4.63 3.52 2.16 0.91 0.14 1.73 1.51 1.88 .46 6.2 3.9 5.17 4.62 3.51 2.15 0.90 0.13 1.64 1.55 1.37 .50 6.1 4.0 5.17 4.61 3.50 2.13 0.89 0.13 1.54 1.59 1.37 .54 6.0 4.1 5.17 4.60 3.48 2.12 0.88 0.12 1.45 1.63 1.36 .57 5.9 4.2 5.17 4.59 3.47 2.10 0.87 0.12 1.35 1.66 1.35 .59 5.8 4.3 5.16 4.58 3.46 2.09 0.86 0.11 1.25 1.69 1.34 .60 5.7 4.4 5.16 4.57 3.44 2.08 0.85 0.11 1.15 1.72 1.32 .60 5.6 4.5 5.16 4.57 3.43 2.06 0.84 0.10 1.05 1.71 1.31 1.59 5.5 4.6 5.16 4.56 3.42 2.05 0.83 0.10 0.95 1.76 1.29 1.57 5.4 I ' 5.16 i.:,:, 3.40 2.03 O.s-J 0.10 0.85 1.77 1.27 1.54 5.3 4.8 5.15 i.r.l :t.:ti» 2.02 O.S1 0.09 0.76 1.78 1.25 1.50 5.2 4.9 5.15 4.53 :{.:(N 2.01 0.80 0.09 0.67 1.79 1.23 1.45 5.1 5.0 5.15 4.52 3.37 1.99 0.79 0.09 0.58 l.so 1.21 1.39 5.0 Days. 110 100 OO 80 70 60 10 10 10 10 r ays. 214 TABLES LVIII.-LXII. TABLES ARGUMENTS LVIII. S3. LIX. 54. LX. 55. LXI. 56. LXII. 57. Days. O 1O 20 3O 4O 5O O O O O Days. Days. n _ „ // 1 // II . t Days. 5.0 5.15 4.52 3.37 1.99| 0.79 0.09 0.58 1.80 1.21 1.39 5.0 5.1 5.15 4.51 3.35 1.98 0.78 0.08 0.50 1.80 1.19 1.33 4.9 5.2 5.14 4.50 3.34 1.97 0.77 0.08 0.42 1.80 1.16 1.26 4.8 5.3 5.14 4.49 3.33 1.95 0.76 0.08 0.35 1.79 1.14 1.18 4.7 5.4 5.14 4.48 3.31 1.94 0.75 0.07 0.28 1.78 1.11 1.10 4.6 5.5 5.14 4.48 3.30 1.93 0.74 0.07 0.22 1.77 1.08 1.02 4.5 5.6 5.13 4.47 3.29 1.91 0.73 0.07 0.17 1.75 1.05 0.94 4.4 5.7 5.13 4.46 3.27 1.90 0.72 0.06 0.12 1.72 1.02 0.85 4.3 5.8 5.13 4.45 3.26 1.89 0.71 0.06 0.08 1.70 0.99 0.76 4.2 5.9 5.12 4.44 3.24 1.87 0.70 0.06 0.05 1.67 0.96 0.67 4.1 6.0 5.12 4.43 3.23 1.86 0.69 0.06 0.02 1.64 0.93 0.58 4.0 6.1 5.12 4.42 3.22 1.85 0.68 0.06 0.01 1.61 0.90 0.50 3.9 6.2 5.11 4.41 3.20 1.83 0.67 0.05 0.00 1.57 0.87 0.42 3.8 6.3 5.11 4.40 3.19 1.82 0.66 0.05 0.00 1.54 0.83 0.34 3.7 6.4 5.10 4.39 3.18 1.81 0.65 0.05 0.01 1.50 0.80 . 0.27 3.6 6.5 5.10 4.38 3.16 1.79 0.64 0.05 0.03 1.46 0.77 0.21 3.5 6.6 5.10 4.37 3.15 1.78 0.64 0.05 0.05 1.41 0.74 0.15 3.4 6.7 5.09 4.36 3.14 1.77 0.63 0.04 0.09 1.36 0.70 0.11 3.3 6.8 5.09 4.35 3.12 1.75 0.62 0.04 0.13 1.31 0.67 0.07 3.2 6.9 5.08 4.34 3.11 1.74 0.61 0.04 0.18 1.26 0.63 0.04 3.1 7.0 5.08 4.33 3.10 1.73 0.60 0.04 0.24 1.21 0.60 0.01 3.0 7.1 5.08 4.32 3.08 1.72 0.59 0.04 0.30 1.15 0.57 0.00 2.9 7.2 5.07 4.31 3.07 1.70 0.58 0.03 0.37 1.09 0.54 0.00 2.8 7.3 5.07 4.30 3.06 1.69 0.57 0.03 0.44 1.03 0.50 0.01 2.7 7.4 5.06 4.29 3.04 1.68 0.57 0.03 0.52 0.97 0.47 0.03 2.6 7.5 5.06 4.28 3.03 1.66 0.56 0.03 0.60 0.91 0.44 0.06 2.5 7.6 5.05 4.26 3.02 1.65 0.55 0.03 0.69 0.85 0.41 0.08 2.4 7.7 5.05 4.25 3.00 1.64 0.54 0.03 0.78 O.SO 0.38 0.14 2.3 7.8 5.04 4.24 2.99 1.62 0.53 0.02 0.88 0.74 0.35 0.19 2.2 7.9 5.04 4.23 2.98 1.61 0.53 0.02 0.98 0.69 0.33 0.25 2.1 8.0 5.03 4.22 2.96 1.60 0.52 0.02 1.08 0.64 0.30 0.32 2.0 8.1 5.03 4.21 2.95 1.58 0.51 0.02 1.18 0.59 0.27 0.39 1.9 8.2 5.02 4.20 2.93 1.57 0.50 0.02 1.28 0.53 0.25 0.47 1.8 8.3 5.02 4.19 2.92 1.56 0.50 0.02 1.38 0.48 0.22 0.55 1.7 8.4 5.01 4.18 2.91 1.54 0.49 0.02 1.48 0.43 0.20 0.64 1.6 8.5 5.01 4.17 2.89 1.53 0.48 0.01 1.58 0.38 0.18 0.72 1.5 8.6 5.00 4.15 2.88 1.52 0.47 0.01 1.67 0.34 0.16 0.81 1.4 8.7 5.00 4.14 2.86 1.50 0.46 0.01 1.76 0.30 0.14 0.90 1.3 8.8 4.99 4.13 2.85 1.49 0.46 0.01 1.85 0.26 0.12 0.99 1.2 8.9 4.99 4.12 2.84 1.48 0.45 0.01 1.93 0.22 0.10 1.08 1.1 9.0 4.98 4.11 2.82 1.47 0.44 0.01 2.01 0.18 0.08 1.16 1.0 9.1 4.97 4.10 2.81 1.46 0.43 0.01 2.08 0.15 0.07 1.23 0.9 9.2 4.97 4.09 2.80 1.45 0.42 0.01 2.14 0.12 0.05 1.30 0.8 9.3 4.96 4.08 2.78 1.43 0.42 0.01 2.20 0.10 0.04 1.37 0.7 9.4 4.96 4.07 2.77 1.42 0.41 0.00 2.25 0.07 0.03 1.43 0.6 9.5 4.95 4.06 2.76 1.41 0.40 0.00 2.29 0.05 0.02 1.48 0.5 9.6 4.94 4.04 2.74 1.40 0.40 0.00 2.33 0.03 0.01 1.52 0.4 9.7 4.94 4.03 2.73 1.39 0.39 0.00 2.36 0.02 0.01 1.55 0.3 9.8 4.93 4.02 2.72 1.37 0.38 0.00 2.38 0.01 0.00 1.58 0.2 9.9 4.93 4.01 2.70 1.36 0.38 0.00 2.39 0.00 0.00 1.59 0.1 10.0 4.92 4.00 2.69 1.35 0.37 0.00 2.40 0.00 0.00 1.60 0.0 Days. HO 1OO 9O 8O 7O GO 1O 10 10 1O Days. 215 TABLES LXIII.-LXrX. TABLES LXIII. LXIV. ARGUMENTS 58. 59. LXV. LXVI. LXVII. LXVIII. LXIX. CO. 61. 62. 63. 64. Days. O O 1O O 1O 0 0 O O 1O Days. Days. 0.0 0.78 i'.20 6.62 0.08 0.78 0.01 0.08 0.27 0.58 6 35 Hiys. 10.0 0.1 0.79 1.20 0.61 0.09 0.77 0.02 0.10 0.26 0.58 0.35 9.9 0.2 0.81 1.20 0.60 0.09 0.77 0.03 0.12 0.24 0.58 0.34 9.8 0.3 0.82 1.20 0.59 0.10 0.76 0.05 0.14 0.23 0.58 ().:{ l 9.7 0.4 0.84 1.20 0.58 0.11 0.76 0.07 0.16 0.21 0.58 0.33 9.6 0.5 0.85 1.20 0.57 0.12 0.75 0.09 0.18 0.20 0.59 0.33 9.5 0.6 0.86 1.20 0.57 0.13 0.75 0.11 0.20 0.19 0.59 0.32 9.4 0.7 0.88 1.20 0.56 0.13 0.74 0.13 0.23 0.17 0.59 0.32 9.3 0.8 0.89 1.20 0.55 0.14 0.74 0.16 0.25 0.16 0.59 0.31 9.2 0.9 0.91 1.20 0.54 0.15 0.73 0.19 0.28 0.15 0.59 0.31 9.1 1.0 0.92 1.20 0.53 0.16 0.73 0.22 0.31 0.14 0.59 0.30 9.0 1.1 0.93 1.20 0.52 0.17 0.72 0.25 0.34 0.13 0.59 0.30 8.9 1.9 0.94 1.20 0.51 0.18 0.71 0.28 0.37 0.12 0.59 0.29 8.8 1.3 0.95 1.19 0.50 0.19 0.71 0.32 0.39 0.11 0.59 0.29 8.7 1.4 0.96 1.19 0.49 0.20 0.70 0.36 0.42 0.10 0.59 0.28 8.6 1.5 0.97 1.19 0.48 0.21 0.69 0.40 0.44 0.09 0.60 0.28 8.5 1.6 0.97 1.19 0.47 0.22 0.68 0.44 0.46 0.08 0.60 0.-3? 8.4 1.7 0.98 1.19 0.46 0.23 0.68 0.47 0.48 0.07 0.60 0.27 8.3 1.8 0.98 1.18 0.45 0.24 0.67 0.51 0.50 0.06 0.60 0.26 8.2 1.9 0.99 1.18 0.44 0.25 0.66 0.55 0.51 0.05 0.60 0.26 8.1 • 2.0 0.99 1.18 0.43 0.26 0.65 0.59 0.53 0.04 0.60 0.25 8.0 2.1 0.99 1.18 0.42 0.27 0.64 0.62 0.54 0.03 0.60 0.25 7.9 &S 1.00 1.17 0.41 0.28 0.63 0.65 0.55 0.03 0.60 0.24 7.8 2.3 1.00 1.17 0.40 0.29 0.62 0.68 0.56 0.02 0.60 0.24 7.7 2.4 1.00 1.17 0.39 0.30 0.61 0.70 0.57 0.02 0.60 0.23 7.6 2.5 p.99 1.16 0.38 0.31 0.60 0.72 0.58 0.01 0.60 0.23 7.5 2.6 0.99 1.16 0.38 0.33 0.59 0.74 0.59 0.01 0.59 0.22 7.4 2.7 0.99 1.16 0.37 0.34 0.58 0.75 0.60 0.01 0.59 0.22 7.3 2.8 0.98 1.15 0.36 0.35 0.57 0.77 0.59 0.00 0.59 0.21 7.2 2.9 0.98 1.15 0.35 0.36 0.56 0.78 0.58 0.00 0.59 0.21 7.1 3.0 0.98 1.15 0.34 0.37 0.55 0.79 0.57 0.00 0.59 0.20 7.0 3.1 0.97 1.14 0.33 0.38 0.54 0.80 0.56 0.00 0.59 0.20 6.9 3.2 0.97 1,14 0.32 0.39 0.53 0.80 0.55 0.00 0.59 0.1!) 6.8 3.3 0.96 1.13 0.32 0.40 0.52 080 0.54 0.00 0.59 0.1(1 6.7 3.4 0.96 1.13 0.31 0.41 0.51 0.79 0.53 0.00 0.59 0.1N 6.6 3.5 0.95 1.13 0.30 0.42 0.50 0.78 0.52 0.00 0.59 0.18 6.5 3.6 0.94 1.12 0.29 0.44 0.49 0.76 0.50 0.00 0.58 0.17 8.4 3.7 0.93 1.12 0.28 0.45 0.48 0.75 0.49 0.01 0.58 0.17 8,3 :t.s 0.93 1.12 0.28 0.46 0.47 0.73 0.47 0.01 0.68 0.1(1 6.S 3.9 0.90 1.11 0.27 0.47 0.46 0.71 0.45 0.01 0.58 0.16 6.1 4.0 0.89 1.11 0.26 0.48 0.45 0.69 0.43 0.02 0.58 0.15 6.0 4.1 O.ss 1.10 0.25 0.49 0.44 0.66 0.41 0.02 0.58 0.15 5.9 4.2 0.86 1.10 0.24 0.50 0.43 0.63 0.39 0.03 0.5N O.I 1 5.8 I..'! 0.85 1.09 0.24 0.51 0.42 0.60 0.36 0.03 0.57 0.11 5.7 4.4 0.84 1.09 0.23 0.52 0.41 0.57 0.34 0.04 0.57 0.13 5.6 1 .:. 0.82 1.08 0.22 0.53 0.40 0.54 0.31 0.05 0.57 0.13 5.5 4.6 0.80 1.07 0.21 0.55 0.38 0.50 0.28 0.06 0.57 0.12 5.4 ;.-, 0.79 1.07 0.20 0.56 0.37 0.17 0.2:. 0.07 0.57 0.12 5.8 4.8 0.77 1.06 0.20 0.57 0.36 0.13 0.23 0.08 0.56 0.11 5.2 1.!) 0.75 1.06 0.19 0.58 0.35 <>.:(!) 0.21 0.0!) 0.56 0.11 5.1 5.0 o.7:< 1.05 0.18 0.59 0.34 0.35 0.19 0.10 0.56 0.10 5.0 Days. 1O :w 20 30 20 10 10 10 3O 20 Days. 216 TABLES LXIII.-LXIX. TABLES LXIII. LXIV. ARGUMENTS 58. 59. LXV. LXVI. LXVII. LXVin. 6O. 61. 62. 63. LXIX. 64. Days. O 0 1O o 10 o O O O 1O Days. ii.,'.- 5.0 0.73 1.05 0.18 0.59 0.34 0.35 0.19 0.10 0.56 010 PJIVS. 5.0 5.1 0.71 i.M 0.17 0.60 0.33 0.31 0.17 0.11 0.56 0.10 4.9 5.2 0.69 1.04 0.17 0.61 0.32 0.28 0.15 0.12 0.56 0.09 4.8 5.3 0.68 1.03 0.16 0.62 0.31 0.21 0.13 0.13 0.55 0.09 4.7 5.4 0.66 1.02 0.15 0.63 0.30 0.21 0.11 0.14 0.55 O.U9 4.6 5.5 0.64 1.02 0.15 0.64 0.29 0.18 0.09 0.15 0.55 0.08 4.5 5.6 0.62 1.01 0.14 0.64 0.27 0.15 0.07 0.16 0.55 0.08 4.4 5.7 0.60 1.00 0.14 0.65 0.26 0.13 0.06 0.18 0.55 0.08 4.3 5.8 0.58 1.00 0.13 0.66 0.25 0.10 0.04 0.19 0.54 0.07 4.2 5.9 0.56 0.99 0.12 0.67 0.24 0.08 0.03 0.21 0.54 0.07 4.1 6.0 0.5 1 0.98 0.12 0.68 0.23 0.06 0.02 0.22 0.54 0.07 4.0 6.1 0.52 0.97 0.11 0.69 0.22 0.04 0.01 0.23 0.54 0.07 3.9 6.2 0.50 0.96 0.11 0.70 0.21 0.03 0.01 0.25 0.53 , 0.06 3.8 6.3 0.48 0.96 0.10 0.70 0.20 0.02 0.00 0.26 0.53 0.06 3.7 6.4 0.46 0.95 0.10 0.71 0.19 0.01 0.00 0.28 0.53 0.06 3.6 6.5 0.44 0.94 0.09 0.72 0.18 0.00 0.00 0.29 0.52 0.05 3.5 6.6 0.42 0.93 0.09 0.72 0.18 0.00 0.01 0.30 0.52 0.05 3.4 6.7 0.40 0.92 0.08 0.73 0.17 0.01 0.01 0.32 0.52 0.05 3.3 6.8 0.38 0.92 0.08 0.74 0.16 0.01 0.02 0.33 0.51 0.05 3.2 6.9 0.36 0.91 0.07 0.74 0.15 (X02 0.03 0.35 0.51 0.04 3.1 7.0 0.34 0.90 0.07 0.75 0.14 0.03 0.04 0.36 0.50 0.04 3.0 7.1 0.32 0.89 0.06 0.75 0.13 0.05 0.06 0.37 0.50 0.04 2.9 7.2 0.30 0.88 0.06 0.76 0.12 0.07 0.07 0.39 0.49 0.04 2.8 7.3 0.28 0.87 0.05 0.76 0.12 0.09 0.09 0.40 0.49 0.03 2.7 7.4 0.26 0.86 0.05 0.77 0.11 0.11 0.11 0.41 0.48 0.03 2.6 7.5 0.24 0.85 0.04 0.77 0.10 0.13 0.13 0.42 0.48 0.03 2.5 7.6 0.22 0.85 0.04 0.78 0.09 0.16 0.15 0.43 0.47 0.03 2.4 7.7 0.21 0.84 0.04 0.78 0.08 0.19 0.17 0.45 0.47 0.03 2.3 7.8 0.19 0.83 0.03 0.78 0.08 0.22 0.20 0.46 0.46 0.02 2.2 7.9 0.18 0.82 0.03 0.79 0.07 0.25 0.22 0.47 0.46 0.02 2.1 8.0 0.16 0.81 0.03 0.79 0.06 0.29 0.25 0.48 0.45 0.02 2.0 8.1 0.15 0.80 0.03 0.79 0.05 0.32 . 0.27 0.49 0.45 0.02 1.9 8.2 0.13 0.79 0.02 0.79 0.05 0.36 0.30 0.50 0.44 0.02 1.8 8.3 0.12 0.78 0.02 0.79 0.04 039 0.32 0.51 0.44 0.02 1.7 8.4 0.10 0.77 0.02 0.80 0.04 0.43 0.35 0.52 0.43 0.01 1.6 8.5 0.09 0.76 0.02 0.80 0.04 0.47 0.38 0.53 0.43 0.01 1.5 8.6 0.08 0.76| 0.02 0.80 0.03 0.51 0.40 0.54 0.42 0.01 1.4 8.7 0.07 0.75 0.01 0.80 0.03 0.54 0.43 0.55 0.42 0.01 1.3 8.8 0.06 0.74 0.01 0.80 0.03 0.58 0.45 0.56 0.41 0.01 1.2 8.9 0.05 0.73 0.01 0.80 0.02 0.61 0.47 0.56 0.41 0.01 1.1 9.0 0.04 0.72 0.01 0.80 0.02 0.64 0.49 0.57 0.40 0.01 1.0 9.1 0.03 0.71 0.01 0.80 0.02 0.67 0.51 0.57 0.40 0.01 0.9 9.2 0.03 0.70 0.01 0.79 0.01 0.69 0.53 0.58 0.39 0.01 0.8 9.3 0.02 0.69 0.01 0.79 0.01 0.72 0.54 0.58 0.39 0.00 0.7 9.4 0.02 0.68 0.00 0.79 0.01 0.74 0.56 0.59 0.38 0.00 0.6 9.5 0.01 0.67 0.00 0.79 0.01 0.76 0.57 0.59 0.38 0.00 0.5 9.6 0.01 0.66 0.00 0.79 0.01 0.77 0.58 0.59 0.37 0.00 0.4 9.7 0.01 0.65 0.00 0.78 0.00 0.78 0.59 0.59 0.37 0.00 0.3 9.8 0.00 0.64 0.00 0.78 0.00 0.79 0.59 0.60 0.36 0.00 0.2 9.9 0.00 0.63 0.00 0.78 0.00 0.80 0.60 0.60 0.36 0.00 0.1 10.0 0.00 0.62 0.00 0.78 0.00 0.80 0.60 0.60 0.35 0.00 0.0 Days. 1O 3O SO 3O 2O 10 10 10 3O 2O Days. 217 TABLES LXX.-LXXIV. TABLES LXX. LXXI. LXXII. ARGUMENTS 65. 66. 67. Lxxni. 68. LXXIV. 69. Days. O o 10 0 10 O 1O Days. Days. O IOO 2OO Days Day* 0.0 0.35 0.38 0.24 1.13 1.66 0.58 0.25 IViv. 10.0 Days 0 II 3.65 II 4.15 1.68 Day*. 100 0.1 0.34 0.38 0.23 1.15 1.61 0.56 0.26 9.9 1 3.67 4.1 1.65 99 0.2 0.32 0.38 0.23 1.17 1.62 0.55 0.27 9.8 2 3.69 4.1: 1.62 98 0.3 0.31 0.38 0.23 1.19 1.61 0.53 0.29 9.7 J 3.71 4.11 L6( 97 0.4 0.29 0.38 0.22 1.22 1.59 0.52 0.30 9.6 4 3.73 4.10 1.57 96 0.5 0.28 0.38 0.22 1.24 1.57 0.50 0.31 9.5 5 3.75 4.08 1.54 95 0.6 0.26 0.39 0.22 1.26 1.55 0.49 0.33 9.4 6 3.77 4.07 1.51 94 0.7 0.24 0.39 0.21 1.28 1.53 0.47 0.34 9.3 7 3.79 4.05 1.48 93 0.8 0.23 0.39 0.21 1.31 1.51 0.46 0.35 9.2 8 3.81 4.04 1.46 92 0.9 0.21 0.39 0.20 1.33 1.49 0.44 0.37 9.1 9 3.83 4.02 1.43 91 1.0 0.19 0.39 0.20 1.35 1.47 0.43 0.38 9.0 10 3.85 4.00 1.40 90 1.1 0.17 0.39 0.20 1.37 1.45 0.41 0.39 8.9 11 3.87 3.98 1.37 89 1.2 0.16 0.39 0.19 1.39 1.48 0.40 0.41 88 12 3.89 3.97 1.34 88 1.3 0.14 0.39 0.19 1.41 1.41 0.38 0.42 8.7 13 3.90 3.95 1.32 87 1.4 0.13 0.39 0.19 1.43 1.39 0.37 0.44 8.6 14 3.92 3.93 1.29 86 1.5 0.11 0.40 0.18 1.46 1.37 0.36 0.45 8.5 15 3.94 3.91 1.26 85 1.6 0.10 0.40 0.18 1.48 1.34 0.34 0.47 8.4 16 3.96 3.89 1.24 84 1.7 0.08 0.40 0.18 1.50 1.32 0.33 0.48 8.3 17 3.98 3.88 1.21 83 1.8 0.07 0.40 0.17 1.52 1.30 0.31 0.50 8.2 18 3.99 3.86 1.18 82 1.9 0.05 0.40 0.17 1.54 1.28 0.30 0.51 8.1 19 4.01 3.84 1.16 81 2.0 0.04 0.40 0.17 1.56 1.26 0.29 0.53 8.0 20 4.03 3.82 1.13 80 2.1 0.03 0.40 0.16 1.58 1.24 0.28 0.55 7.9 21 4.05 3.80 1.11 79 2.2 0.03 0.40 0.16 1.59 1.22 0.26 0.56 7.8 22 4.07 3.78 1.08 78 2.3 0.02 0.40 0.16 1.61 1.19 0.25 0.58 7.7 23 4.08 3.76 1.06 77 2.4 0.02 0.40 0.15 1.63 1.17 0.24 0.59 7.6 24 4.10 3.74 1.03 76 2.5 0.01 0.40 0.15 1.64 1.15 0.23 0.61 7.5 25 4.11 3.72 1.00 75 2.6 0.01 0.40 0.15 1.66 1.12 0.21 0.63 7.4 26 4.13 3.69 0.98 74 2.7 0.01 0.40 0.14 1.68 1.10 0.20 0.64 7.3 27 4.14 3.67 0.95 73 2.8 0.00 0.40 0.14 1.69 1.08 0.19 0.66 7.2 28 4.16 3.65 0.93 72 2.9 0.00 0.40 0.14 1.71 1.05 0.18 0.67 7.1 29 4.17 3.63 0.91 71 3.0 0.00 0.40. 0.13 1.73 1.03 0.17 0.69 7.0 30 4.18 3.61 0.89 70 3.1 0.01 0.40 0.13 1.75 1.01 0.16 0.70 6.9 31 4.19 3.59 O.N7 69 3.2 0.01 0.40 0.13 1.76 0.98 0.15 0.72 6.8 32 4.20 3.56 0.81 68 3.3 0.02 0.40 0.12 1.78 0.96 0.14 0.73 6.7 33 4.22 3.54 0.82 67 3.4 0.03 0.40 0.12 1.79 0.94 0.13 0.75 6.6 34 4.23 3.52 0.80 66 3.5 0.04 0.40 0.12 1.81 0.91 0.12 0.76 6.5 35 4.24 3.49 0.78 65 3.6 0.05 0.39 0.11 1.82 0.89 0.11 0.78 6.4 36 4.25 3.47 0.76 64 3.7 0.06 0.39 0.11 1.83 0.87 0.11 0.79 6.3 37 4.26 3.44 0.73 63 3.8 0.08 0.39 0.11 I .sr, 0.84 0.10 0.81 6.2 38 4.27 3.42 0.71 62 3.9 0.09 0.39 0.10 1.86 0.82 0.09 0.82 6.1 39 4.28 3.39 O.(i9 61 4.0 0.10 0.39 0.10 1.87 0.80 0.08 0.84 6.0 40 4.29 3.37 0.67 60 4.1 0.12 0.39 0.10 1.88 0.78 0.07 0.85 5.9 41 4.30 3.35 0.65 59 4.2 0.13 0.39 0.09 1.89 0.76 0.07 0.87 5.8 42 4.31 3. 32 0.68 58 4.3 0.15 0.39 0.09 L90 0.74 0.06 0.88 5.7 43 481 3.30 0.61 57 4.4 0.17 0.39 0.09 1.91 0.71 0.05 0.90 5.6 44 489 3.27 0.59 56 4.5 0.19 0.39 0.08 1.92 0.69 0.05 0.91 5.5 40 4.33 3.25 0.57 55 4.6 021 0.38 0.08 1.93 0.67 0.04 0.93 5.4 46 •1.33 3.22 0.55 54 4.7 0.22 • 0.38 0.08 1.94 0.65 0.04 0.94 r>..'i 47 434 3.19 0.53. 53 4.8 0.24 0.38 0.07 1.94 0.63 0.03 0.96 5.2 48 486 8.17 0.51 52 4.9 0.25 0.38 0.07 1.95 0.61 0.03 0.97 5.1 49 i.:i.> 3.14 0.49 51 5.0 0.27 0.38 0.07 1.96 0.59 0.02 0.99 5.0 50 •1.3 i 3.1 1 0.47 50 Days. 1O 3O 24> :to 20 3O 20 Days. Days. .1OO 1OO 3OO Days. 218 TABLES LXX.-LXXIV. TABLES LXX. LXXI. ARGUMENTS 65. 66. LXXII. 61. LXXIII. 6§. LXXIV. 69. Days . O O 1O O 1O O IO Days. Day s. O 100 20O Days. Davs II I Days 1 Day, // • ii Days. 5.0 6.27 0.38 0.07 1.96 0.59 0.02 0.99 5.0 50 4.36 3.11 0.47 50 5.1 0.28 0.3S 0.07 1.96 0.57 0.02 1.00 4.9 51 4.36 3.08 0.45 49 5.2 0.30 0.38 0.06 1.97 0.55 0.02 1.02 4.8 52 4.37 3.06 0.44 48 5.3 0.31 0.37 0.06 1.97 0.53 0.01 1.03 4.7 53 4.37 3.03 0.42 47 5.4 0.33 0.37 0.06 1.98 0.51 0.01 1.05 4.6 54 4.38 3.00 0.41 46 5.5 0.34 0.37 0.06 1.98 0.49 0.01 1.06 4.5 55 4.38 2.98 0.39 45 5.6 0.35 0.37 0.06 1.98 0.47 0.01 1.07 4.4 56 4.39 2.95 0.38 44 5.7 0.36 0.37 0.05 1.99 0.45 0.00 1.09 4.3 57 4.39 2.92 0.36 43 5.8 0.37 0.36 0.05 1.99 6.43 0.00 1.10 4.2 58 4.39 2.90 0.34 42 5.9 0.38 0.36 0.05 2.00 0.41 0.00 1.12 4.1 59 4.40 2.87 0.33 41 6.0 0.39 0.36 0.05. 2.00 0.39 0.00 1.13 4.0 60 4.40 2.84 0.31 40 6.1 0.39 0.36 0.05 2.00 0.37 0.00 1.14 3.9 61 4.40 2.81 0.29 39 6.2 0.39 0.35 0.05 2.00 0.35 0.00 1.15 38 62 4.40 2.78 0.28 38 6.3 0.40 0.35 0.04 2.00 0.34 0.00 1.17 3.7 63 4.40 2.75 0.26 37 6.4 0.40 0.35 0.04 2.00 0.32 0.00 1.18 3.6 64 4.40 2.73 0.25 36 6.5 0.40 034 0.04 2.00 0.30 0.00 1.19 3.5 65 4.40 2.70 0.23 35 6.6 0.39 0.34 0.04 2.00 0.29 0.00 1.20 3.4 66 4.40 2.67 0.22 34 6.7 0.39 0.34 0.04 1.99 0.27 0.01 1.21 3.3 67 4.39 2.64 0.20 33 6.8 0.38 0.33 0.04 1.99 0.26 0.01 1.23 3.2 68 4.39 2.61 0.19 32 6.9 0.38 0.33 0.03 1.99 0.24 0.01 1.24 3.1 69 4.39 2.58 0.18 31 7.0 0.37 0.33 0.03 1.99 0.23 0.01 1.25 3.0 70 4.39 2.55 0.17 30 7.1 0.36 0.33 003 1.98 0.21 0.01 1.26 2.9 71 4.38 2.52 0.16 29 7.2 0.35 0.32 0.03 1.98 0.20 0.02 1.27 2.8 72 4.38 2.49 0.15 28 7.3 0.34 0.32 0.03 1.97 0.18 0.02 1.28 2.7 73 4.38 2.46 , 0.14 27 7.4 0.32 0.32 0.02 1.97 0.17 0.02 1.28 2.6 74 4.37 2.43 0.13 26 7.5 0.31 0.31 0.02 1.96 0.16 0.03 1.29 2.5 75 4.37 2.41 0.12 25 7.6 0.29 0.31 0.02 1.95 0.14 0.03 1.30 2.4 76 4.36 2.38 0.11 24 7.7 0.28 0.31 0.02 1.95 0.13 0.04 1.31 2.3 77 4.36 2.35 0.11 23 7.8 0.26 0.30 0.02 1.94 0.12 0.04 1.32 2.2 78 4.36 2.32 0.10 22 7.9 0.25 0.30 0.01 1.93 0.11 0.05 1.32 2.1 79 4.35 2.29 0.09 21 8.0 0.23 0.30 0.01 1.92 0.10 0.06 1.33 2.0 80 4.35 2.26 0.08 20 8.1 0.21 0.30 0.01 1.91 0.09 0.07 1.34 1.9 81 4.34 2.23 0.07 19 8.2 0.19 0.29 0.01 1.90 0.08 0.07 1.34 1.8 82 4.33 2.20 0.07 18 8.3 0.18 0.29 0.01 1.89 0.07 0.08 1.35 1.7 83 4.33 2.17 0.06 17 8.4 0.16 0.29 0.01 1.88 0.07 0.09 1.35 1.6 84 4.32 2.14 0.06 16 8.5 0.14 0.28 0.01 1.87 0.06 0.10 1.36 1.5 85 4.31 2.11 005 15 8.6 0.13 0.28 0.01 1.86 0.05 0.10 1.36 1.4 86 4.30 2.09 0.04 14 8.7 0.11 0.28 0.00 1.84 0.05 0.11 1.37 1.3 87 4.30 2.06 0.04 13 8.8 0.10 0.27 0.00 1.83 0.04 0.12 1.37 1.2 88 4.29 2.03 0.03 12 8.9 0.08 0.27 0.00 1.82 0.03 0.13 1.38 1.1 89 4.28 2.00 0.03 11 9.0 0.07 0.27 0.00 1.81 0.03 0.14 1.38 1.0 90 4.27 1.97 0.02 10 9.1 0.06 0.27 0.00 1.80 0.03 0.15 1.38 0.9 91 4.26 1.94 0.02 09 9.2 0.05 0.26 0.00 1.79 0.02 0.16 1.39 0.8 92 4.25 1.91 0.02 08 9.3 0.04 0.26 0.00 1.77 0.02 0.17 1.39 0.7 93 4.23 1.88 0.01 07 9.4 0.03 0.26 0.00 1.76 0.02 0.18 1.39 0.6 94 4.22 1.85 0.01 06 9.5 0.02 0.25 0.00 1.74 0.01 0.19 1.39 0.5 95 4.21 .82 0.01 05 9.6 002 0.25 0.00 1.73 0.01 0.21 1.39 0.4 96 4.20 .80 0.01 04 9.7 0.01 0.25 0.00 1.71 0.01 0.22 1.40 0.3 97 4.19 .77 0.00 03 9.8 0.01 0.24 0.00 1.70 0.00 0.23 1.40 0.2 98 4.1K .74 0.00 02 9.9 0.00 0.24 0.00 1.68 0.00 0.24 1.40 0.1 99 4.16 .71 0.00 01 10.0 0.00 0.24 0.00 1.66 0.00 0.25 1.40 0.0 100 4.15 .68 0.00 00 Days 10 3O 20 3O 9O 3O SO Days. Days. 500 400 3OO Days.] i 219 TABLES LXXV. LXXVI. TABLES ARGUMENTS LXXV. 70. LXXVI. 71. Days . O 100 Days. Days. O 100 2OO 3OO 4OO .TWO Days. 0 0.32 i'.oi Days. 100 Days. 0 II 1.14 II 2.57 1.93 1.30 0.67 0.03 1 0.30 1.04 99 1 1.16 2.57 1.92 1.30 0.66 0.04 2 0.28 1.07 98 2 1.18 2.58 1.91 1.29 0.65 0.04 3 0.27 1.09 97 3 1.20 2.58 1.90 .29 0.64 0.04 4 0.25 1.12 96 4 1.22 2.58 1.89 .29 0.63 0.05 5 0.24 1.15 95 5 1.24 2.58 1.88 .28 0.62 0.05 6 0.22 1.18 94 6 1.26 2.58 1.87 .28 0.60 0.06 7 0.21 1.21 93 7 1.28 2.59 1.86 .28 0.59 0.06 8 0.19 1.23 92 8 1.30 2.59 .85 1.27 0.58 0.06 9 0.18 1.26 91 9 1.32 2.59 .84 1.27 0.57 0.07 10 11 12 13 14 0.17 0.16 0.14 0.13 0.12 1.29 1.32 1.35 1.37 1.40 90 89 88 87 86 10 11 12 13 14 1.34 1.36 1.38 1.40 1.42 2.59 2.59 2.59 2.59 2.59 .83 .82 .81 1.80 1.79 1.27 1.27 1.26 1.26 1.26 0.56 0.55 0.54 0.53 0.52 0.07 0.08 0.08 0.09 0.10 15 0.11 1.43 85 16 0.10 1.46 84 15 .44 2.59 1.78 1.25 0.51 0.10 17 0.09 1.49 83 16 .46 2.58 1.78 1.25 0.49 0.11 18 0.08 1.51 82 17 .48 2.58 1.77 1.25 0.48 0.12 19 0.07 1.54 81 18 .50 2.58 1.76 1.24 0.47 0.12 19 .52 2.58 1.75 1.24 0.46 0.13 20 0.06 1.57 80 21 0.05 1.60 79 20 1.54 2.58 1.74 1.24 0.45 0.14 22- 0.05 1.63 78 21 1.56 2.58 1.73 1.23 0.44 0.15 23 0.04 1.65 • 77 22 1.58 2.57 1.72 1.23 0.43 0.16 24 0.04 1.68 76 23 1.60 2.57 1.71 1.23 0.42 0.17 24 1.62 2.57 1.71 1.22 0.41 0.18 25 0.03 1.71 75 26 0.03 1.74 74 25 1.64 2.56 1.70 1.22 0.40 0.19 27 0.02 1.77 73 26 .65 2.56 1.69 1.21 0.39 0.20 28 0.02 1.79 72 27 .67 2.56 1.68 1.21 0.38 0.21 29 0.01 1.82 71 28 .69 2.55 1.68 1.21 0.37 0.22 29 .71 2.55 1.67 1.20 0.36 0.23 30 0.01 1.85 70 31 32 33 34 0.01 0.00 0.00 0.00 1.88 1.91 1.93 1.96 69 68 67 66 30 31 32 33 .73 .75 .77 .79 2.55 2.54 2.54 2.53 1.66 1.65 1.64 1.63 1.20 1.19 1.19 1.18 0.35 0.34 0.33 0.32 0.24 0.25 0.26 0.28 35 0.00 1.99 65 34 .80 2.53 1.63 1.18 0.31 0.29 36 0.00 2.01 64 87 0.00 2.04 63 35 .82 2.52 1.62 1.17 0.30 0.30 38 0.01 2.07 62 36 .84 2.52 1.61 1.17 0.30 0.32 39 0.01 2.09 61 .'(7 1.86 2.51 1.60 l.Ki 0.29 0.33 38 1.88 2.51 1.59 1.16 0.28 0.34 40 0.01 2.12 60 39 1.89 2.50 1.59 1.15 0.27 0.36 41 0.02 2.15 59 42 0.02 2.17 58 40 1.91 2.49 1.58 1.15 0.26 0.37 43 0.03 2.20 57 41 1.93 2.48 1.57 1.14 0.25 0.38 44 0.03 2.22 56 42 1.95 2.48 1.56 1.14 0.24 0.40 43 1.96 2.47 1.56 1 13 0.24 0.41 45 0.04 2.25 55 44 1.98 2.46 1.55 1.13 0.23 0.43 46 0.04 2.27 54 47 0.05 2.30 53 45 2.00 2.46 1.54 1.12 0.22 0.44 is 0.05 2.32 52 46 2.01 2.45 1.54 1.12 0.21 0.46 49 0.06 2.35 51 47 2.03 2.44 1.53 1.11 0.20 0.47 50 0.06 2.37 50 48 2.05 2.44 1.52 1.10 0.20 0.49 49 2.06 2.43 1.52 1.10 0.19 0.50 Day s. 300 900 Days. 50 2.08 2.42 1.51 1.09 0.18 0.52 220 TABLES LXXV. LXXVI. TABLES ARGUMENTS LXXV. 70. LXXVI. 71. Days. O IOO Days. Days. O 100 2OO 3OO 4OO 50O Days. 50 0.06 2.37 Days. 50 Days. 50 2.08 2.42 1.51 1.09 U 0.18 0.52 51 0.07 2.39 49 51 2.10 2.41 1.50 1.08 0.17 0.54 52 0.08 2.41 48 52 2.11 2.40 1.50 1.08 0.16 0.55 53 0.09 2.44 47 53 2.13 2.40 1.49 1.07 0.16 0.57 54 0.10 2.46 46 54 2.15 2.39 1.49 1.06 0.15 0.59 55 0.11 2.48 45 55 2.16 2.38 1.48 1.06 0.14 0.60 56 0.1-2 2.50 44 56 2.18 2.37 1.47 1.05 0.14 0.62 57 0.13 2.52 43 57 2.19 2.37 1.47 1.04 0.13 0.64 58 0.15 2.54 42 58 2.20 2.36 1.46 1.04 0.12 0.65 59 0.16 2.56 41 59 2.22 2.35 1.46 1.03 0.12 0.67 60 61 62 63 64 0.17 0.18 0.19 0.21 0.22 2.58 2.60 2.62 2.64 2.65 40 39 38 37 36 60 61 62 63 64 2.23 2.24 2.26 2.27 2.28 2.34 2.33 2.32 2.31 2.30 1.45 1.45 1.44 1.44 1.43 1.02 1.01 1.00 1.00 0.99 0.11 0.10 0.10 0.09 0.09 0.69 0.71 0.73 0.74 0.76 65 0.24 2.67 35 66 0.25 2.69 34 65 2.30 2.30 1.43 0.98 0.08 0.78 67 0.27 2.71 33 66 2.31 2.29 1.42 0.97 0.07 0.80 68 0.28 2.72 32 67 2.32 2.28 1.42 0.97 0.07 0.82 69 0.30 2.74 31 68 2.34 2.27 1.41 0.96 0.06 0.83 69 2.35 2.26 1.41 0.95 0.06 0.85 70 0.32 2.76 30 71 0.34 2.77 29 70 2.36 2.25 1.40 0.94 0.05 0.87 72 0.36 2.79 28 71 2.37 2.24 1.40 0.93 0.05 0.89 73 0.38 2.80 27 72 2.38 2.23 1.39 0.92 0.04 0.91 74 0.40 2.81 26 73 2.39 2.22 1.39 0.92 0.04 0.93 74 2.40 2.21 1.38 0.91 0.04 0.95 75 0.42 2.83 25 76 0.44 2.84 24 .75 2.41 2.20 1.38 0.90 0.03 0.96 77 0.46 2.85 23 76 2.42 2.19 1.37 0.89 0.03 0.98 78 0.48 2.87 22 77 2.43 2.18 1.37 0.88 0.03 1.00 79 0.50 2.88 21 78 2.44 2.17 1.37 0.88 0.02 1.02 79 2.45 2.16 1.36 0.87 6.02 1.04 80 0.52 2.89 20 81 82 83 84 0.54 0.56 0.59 0.61 2.90 2.91 2.92 2.93 19 18 17 16 80 81 82 83 2.46 2.47 2.48 2.48 2.15 2.14 2.13 2.12 1.36 1.36 1.35 1.35 0.86 0.85 0.84 0.83 0.02 0.02 0.02 0.02 1.06 1.08 1.10 1.12 85 0.63 2.93 15 84 2.49 2.11 1.35 0.82 0.01 1.14 86 0.66 2.94 14 87 0.68 2.95 13 85 2.50 2.10 1.34 0.81 0.01 1.16 88 0.70 2.96 12 86 2.50 2.08 1.34 0.81 0.01 1.18 89 0.73 2.96 11 87 2.51 2.07 1.34 0.80 0.01 1.20 88 2.52 2.06 1.33 0.79 0.01 1.22 90 0.75 2.97 10 89 2.52 2.05 1.33 0.78 0.01 1.24 91 0.77 2.97 09 92 0.80 2.98 08 90 2.53 2.04 1.33 0.77 0.01 1.26 93 0.82 2.98 07 91 2.53 2.03 1.33 0.76 0.01 1.28 94 0.85 2.98 06 92 2.54 2.02 1.32 0.75 0.01 1.30 93 2.54 2.01 1.32 0.74 0.02 1.32 95 0.88 2.99 05 94 2.55 2.00 1.32 0.73 0.02 1.34 96 0.90 2.99 04 97 0.93 2.99 03 95 2.55 1.99 1.31 0.72 0.02 1.36 98 0.95 3.00 02 96 2.56 1.97 1.31 0.71 0.02 1.38 99 0.9S 3.00 01 97 2.56 1.96 1.31 0.70 0.02 1.40 100 1.01 3.00 00 98 2.56 1.95 1.30 0.69 0.03 1.42 99 2.57 1.94 1.30 0.68 0.03 1.44 Days. 3OO 3OO Days. 100 2.57 1.93 1.30 0.67 0.03 1.46 221 TABLES LXXVII.-LXXIX. TABLES ARGUMENTS LXXVII. 72. LXXVIII. 73'. LXXIX. 74. Days. O 1OO MOO 3OO Days. O O 1OOO Days. Dajri. 0 0.80 1.50 0.80 0.10 Days. 0 3.71 0.13 0'.32 llavn. 1000 1 0.80 1.50 0.78 0.11 10 3.64 0.12 0.33 990 2 0.81 1.51 0.77 0.12 20 3.57 0.12 0.34 980 3 0.81 1.51 0.75 0.12 30 3.50 0.11 0.35 970 4 0.82 1.52 0.73 0.13 40 3.42 0.10 0.36 960 5 0.82 1.52 0.72 0.14 50 3.34 0.10 0.36 950 6 0.83 1.53 0.70 0.15 60 3.25 0.09 0.37 940 7 0.83 1.53 0.68 0.16 70 3.16 0.09 0.38 930 8 0.84 1.54 0.67 0.16 80 3.07 0.08 0.39 920 9 0.84 1.54 0.65 0.17 90 2.97 0.08 0.40 910 10 0.85 1.55 0.63 0.18 100 2.87 0.07 0.41 900 11 0.85 1.55 0.61 0.19 110 2.77 0.07 0.42 890 12 13 0.86 0.86 1.56 1.56 0.60 0.58 0.19 0.20 120 130 2.66 2.55 0.06 0.06 0.43 0.44 880 870 14 0.87 1.56 0.56 0.21 140 2.44 0.05 0.45 860 15 16 17 18 0.88 0.88 0.89 0.89 1.57 1.57 1.58 1.58 0.55 0.53 0.51 0.50 0.21 0.22 0.23 0.23 150 160 170 180 190 2.33 2.22 2.11 2.00 1.88 0.05 0.04 0.04 0.04 0.03 0.46 0.47 0.48 0.49 0.50 850 840 830 820 810 19 0.90 1.59 0.48 0.24 200 1.77 0.03 0.51 800 20 0.91 1.59 0.46 0.25 210 1.66 0.03 0.52 790 21 0.91 1.59 0.44 0.26 220 1.55 0.02 0.53 7HO 22 0.92 1.59 0.43 0.27 230 1.44 0.02 0.51 770 23 0.92 1.59 0.41 0.28 240 1-.33 0.02 0.55 760 24 0.93 1.59 0.40 0.29 250 1.22 0.02 0.56 750 25 0.93 1.59 0.38 0.29 260 1.12 0.02 0.56 740 26 0.94 1.59 0.36 0.30 270 1.03 0.01 0.57 730 27 0.94 1.58 0.35 0.31 280 0.93 0.01 0.58 720 28 0.95 1.58 0.34 0.32 290 0.83 0.01 0.59 710 29 • 0.95 1.58 0.33 0.33 300 0.73 0.01 0.60 700 30 31 32 33 0.96 0.96 0.97 0.98 1.58 1.58 1.57 1.57 0.32 0.30 0.29 0.28 0.34 0.35 0.36 0.36 310 320 330 340 0.64 0.56 0.48 0.41 0.01 0.01 0.01 0.01 0.61 0.62 0.63 0.64 690 680 670 660 34 0.98 1.57 0.26 0.37 350 0.34 0.00 0.65 650 35 0.99 1.57 0.25 0.38 360 370 0.28 0.22 0.00 0.00 0.65 0.66 610 680 36 0.99 1.57 0.24 0.39 880 0.17 0.00 0.67 620 37 38 1.00 1.00 1.56 1.56 0.22 0.21 0.40 0.40 390 0.13 0.00 0.68 610 39 1.01 1.56 0.20 0.41 400 0.09 0.00 0.69 600 410 0.06 0.00 0.70 590 40 1.02 1.56 0.19 0.42 420 0.03 0.00 0.71 560 41 1.03 1.55 0.18 0.43 430 0.01 0.00 0.72 570 42 1.03 1.55 0.17 0.44 440 0.00 0.00 0.73 560 43 1.01 1.54 0.16 0.45 44 1 .():• 1.54 0.15 0.46 450 0.00 0.00 0.74 550 460 0.01 0.01 0.74 5 10 45 l.o:. 1.53 0.14 0.46 470 0.02 0.01 0.75 530 46 1.06 1.53 0.13 0.47 ISO ().():! 0.01 0.76 WO 47 1.07 1.52 0.13 0,18 490 0.05 0.01 0.77 510 48 1.07 1.51 0.12 0.49 500 O.OS 0.01 0.78 500 49 1.06 1.51 0.11 0.50 50 1.09 1.50 0.10 0.51 Days. 1OOO , 3000 2000 Days. HOTB. — Arg. 73' = Arg. 73 -t- 173.792. 222 TABLES LXXVII. - LXXIX. TABLES ARGUMENTS LXXVII. 72. LXXVIII. 73'. LXXIX. 74. Days. O 1OO 2OO 3OO Days. O O 1OOO Days. DilV*. 50 1.09 1.50 0.10 0.51 Davs. 500 0.08 0.01 0.78 Days. 500 51 1.10 1.49 0.09 0.52 510 0.12 0.01 0.79 490 52 1.11 1.48 0.09 0.52 520 0.16 0.02 0.80 480 53 1.12 1.47 0.08 0.53 530 0.21 0.02 0.80 470 54 1.12 1.47 0.07 0.54 540 0.26 0.02 0.81 460 55 1.13 1.46 0.07 0.54 550 0.31 0.02 0.82 450 56 1.14 1.45 0.06 0.55 560 0.37 0.03 0.83 440 57 1.15 1.44 0.06 0.56 570 0.44 0.03 0.84 430 58 1.16 1.43 0.05 0.56 580 0.51 0.03 0.84 420 59 1.17 1.42 0.05 0.57 590 0.59 0.04 0.85 410 60 61 62 63 64 1.18 1.19 1.20 1.20 1.21 1.41 1.40 1.39 1.37 1.36 0.04 0.04 0.04 0.03 0.03 0.58 0.59 0.60 0.60 0.61 600 610 620 630 640 0.68 0.77 0.86 0.96 1.06 0.04 0.05 0.05 0.06 0.06 0.86 0.87 0.87 0.88 0.88 400 390 380 370 360 650 1.16 0.07 0.89 350 65 1.22 1.35 0.03 0.62 660 1.26 0.07 0.90 340 66 1.23 1.33 0.03 0.62 670 1.37 0.08 0.90 330 67 1.23 1.32 0.02 0.63 680 1.48 0.08 0.91 320 68 1.24 1.31 0.02 0.63 690 1.59 0.09 0.91 310 69 1.25 1.29 0.02 0.64 700 1.70 0.09 0.92 300 70 1.26 1.28 0.02 0.64 710 1.81 0.10 0.92 290 71 1.27 1.27 0.02 0.65 720 1.92 0.10 0.93 280 72 1.28 1.25 0.02 0.65 730 2.04 0.11 0.93 270 73 1.29 1.24 0.01 0.66 740 2.15 0.12 0.94 260 74 1.30 1.22 0.01 0.66 750 2.27 0.12 0.94 250 75 1.30 1.21 0.01 0.67 760 2.38 0.13 0.95 240 76 1.31 1.20 0.01 0.67 770 2.49 0.14 O.i.5 230 77 1.32 1.18 0.01 0.68 780 2.60 0.14 0.95 220 78 1.33 1.17 0.01 0.68 790 2.71 0.15 0.96 210 79 1.34 1.15 0.01 0.69 800 2.132 0.16 0.96 200 80 81 82 83 1.35 1.36 1.37 1.37 1.14 1.12 1.11 1.09 0.01 0.01 0.02 0.02 0.69 0.70 0.70 0.71 810 820 830 840 2.92 3.02 3.11 3.21 0.17 0.16 0.18 0.19 0.96 0.97 0.97 0.97 190 180 170 160 84 1.38 1.07 0.02 0.71 850 3.30 0.20 0.98 150 860 3.38 0.21 0.98 140 85 1.39 1.06 0.03 0.72 870 3.46 0.21 . Q.98 130 86 1.39 1.04 0.03 0.73 880 3.54 0.22 0.98 120 87 1.40 1.02 0.04 0.73 890 3.61 0.23 0.99 110 88 1.41 1.01 0.04 0.74 89 1.41 0.99 0.05 0.74 900 3.68 0.24 0.99 100 910 3.74 0.25 0.99 90 90 1.42 0.97 0.05 0.75 920 3.79 0.26 0.99 80 91 1.43 0.95 0.06 0.75 930 3.84 0.26 0.99 70 92 1.44 0.94 0.06 0.76 940 3.88 0.27 0.99 60 93 1.44 0.92 0.07 0.76 94 1.45 0.90 0.07 0.77 950 3.92 0.28 1.00 50 960 3.95 0.29 1.00 40 95 1.46 0.89 0.08 0.77 970 3.97 0.30 1.00 30 96 1.47 0.87 0.08 0.78 980 3.98 0.30 1.00 20 97 1.47 0.85 0.09 0.78 990 3.99 0.31 1.00 10 98 1.48 0.84 0.09 0.79 1000 4.00 0.32 1.00 0 99 100 1.49 1.50 0.82 0.80 0.10 0.10 0.79 0.80 Days. 1OOO 3OOO 2000 Days. Nora — Aig. 73' = Arg. 73 + 173.792. 223 TABLES ARGUMENTS TABLES LXXX. LXXXI. LXXX. LXXXI. Days. O 1OOOO 2OOOO 3OOOO 4OOOO o 10000 aoooo 30000 40000 Days. Days. 0 33.61 30.35 39.10 55.24 70.31 38.56 41.74 54.89 72.56 87.33 i i.i%-.. 10000 100 33.52 30.38 39.24 55.41 70.43 38.53 41.83 55.06 72.74 87.44 9900 200 33.43 30.41 39.37 55.58 70.54 38.51 41.92 55.22 72.91 87.55 9800 300 33.34 30.45 39.51 55.76 70.66 38.48 42.01 55.39 73.08 87.66 9700 400 33.25 30.48 39.65 55.93 70.77 38.46 42.10 55.56 73.26 87.76 9600 500 33.16 30.52 39.79 56.10 70.88 38.44 42.19 55.73 73.43 87.87 9500 600 33.07 30.56 39.93 56.27 70.99 38.42 42.28 55.90 73.60 87.97 9400 700 32.99 30.60 40.07 56.44 71.10 38.40 42.38 56.07 73.77 88.08 9300 800 32.90 30.64 40.21 56.61 71.21 38.38 42.47 56.24 73.94 88.18 9200 900 32.82 30.68 40.36 56.78 71.32 38.37 42.57 56.42 74.11 88.28 9100 1000 32.74 30.72 40.50 56.95 71.43 38.35 42.67 56.59 74.28 88.38 9000 1100 32.66 30.76 40.64 57.12 71.54 38.34 42.77 56.76 74.45 88.48 8900 1200 32.58 30.81 40.79 57.29 71.64 38.32 42.87 56.93 74.62 88.68 8800 1300 32.50 30.85 40.93 57.45 71.75 38.31 42.97 57.10 74.79 88.68 8700 1400 32.43 30.90 41.08 57.62 71.85 38.30 43.07 57.27 74.96 88.77 8600 1500 32.35 30.95 41.23 57.79 71.95 • 38.29 43.17 57.44 75.13 88.87 8500 1600 32.28 31.00 41.38 57.96 72.05 38.28 43.27 57.61 75.30 88.96 8400 1700 32.20 31.05 41.52 58.13 72.15 38.28 43.37 57.78 75.47 89.06 8300 1800 32.13 31.10 41.67 58.29 72.25 38.27 43.48 57.96 75.64 89.15 8200 1900 32.06 31.16 41.82 58.46 72.34 38.27 43.58 58.13 75.81 89.24 8100 2000 31.99 31.21 41.97 58.63 72.44 38.26 43.69 58.30 75.98 89.33 8000 2100 31.92 31.27 42.12 58.80 72.54 38.26 43.80 58.47 76.15 89.42 7900 2200 31.85 31.32 42.27 58.97 72.63 38.25 43.91 58.65 76.31 89.51 7800 2300 31.78 31.38 42.42 59.13 72.72 38.25 44.02 58.82 76.48 89.60 7700 2400 31.72 31.44 42.58 59.30 72.82 38.26 44.13 59.00 76.64 89.68 7600 2500 31.65 31.50 42.73 59.46 72.91 38.26 44.24 59.17 76.81 89.77 7500 2600 31.59 31.56 42.88 59.63 73.00 38.27 41.35 59.35 76.97 89.86 7400 2700 31.53 31.62 43.04 59.79 73.09 38.27 44.47 59.52 77.14 89.94 7300 2800 31.47 31.68 43.19 59.96 73.18 38.28 4 1.58 5!).7() 77.30 90.03 7200 2900 31.41 31.75 43.35 60.12 73.26 38.28 44.70 59.87 77.46 90.11 7100 3000 31.35 31.81 43.51 60.29 73.35 38.29 44.82 60.05 77.62 90.19 7000 3100 31.29 31.88 43.67 60.46 73.43 38.30 44.94 60.23 77.78 90.27 (i!)00 3200 31.24 31.95 43.83 60.62 73.52 38.31 45.06 60.41 77.94 90.88 6HOO 3300 81.18 32.02 43.98 60.79 73.60 38.32 45.18 60.58 78.10 90.43 (1700 3400 31.13 32.09 44.14 60.95 73.68 38.34 45.30 60.76 78.26 90.50 6600 3500 31.08 32.16 44.30 61.11 73.76 38.35 45.42 60.94 78.42 90.58 6500 3600 31.03 32.23 44.46 61.27 73.84 38.36 45.54 61.12 78.58 90.65 6400 3700 30.98 32.31 1 1.62 61.43 73.92 38.38 45.66 61.30 78.74 90.73 6300 8800 30.93 32.38 14.78 61.5!) 73.99 38.39 45.79 61.47 78.90 90.NO 6200 3900 •0.89 32.46 44.94 61.75 74.07 38.41 45.91 61.65 79.05 90.87 6100 1000 30.81 32.54 45.10 61.91 74.14 38.43 46.04 61.83 79.21 90.94 6000 4100 30.80 32.62 45.26 62.07 74.21 38.45 46.17 62.01 7i).:!7 91.01 .r)!IOO BOO :to.7. "> 82.70 45. 12 62.23 74.29 38.47 46.29 62.19 79.52 91.08 5800 4800 :«t.7i 82.78 45.59 62.39 74.36 38.50 46.42 62.36 7!). (is 91.19 5700 4100 :«u>7 82.81 45.75 62.51 • 1.43 38.52 46.55 62.54 79.83 91.21 5600 1600 30.(;:t 32.95 45.91 62.70 H|0 88,09 46.6N 6--J.72 79.99 91.28 5500 1600 .'U).:>!l 33.03 46.07 6-,'si; 74.57 38.58 46.81 63.90 80.14 91.31 5400 4700 3n..v, :!:t.ix! KI.-JI <;:(.() I 71.61 38.61 46.94 63.0S so.:to 91.40 r,:«K> MOO 30.51 iCJ.-.'O 1U.IO 63.17 74.70 3S.(i 1 47.07 68.26 80.48 91.46 saoo 1000 30. is 33.29 46.57 63.32 74.77 38.67 47.21 68.44 80.60 91.52 5100 .-,(10(1 :{().lt 33.3H 4C.73 63.48 74.83 38.70| 47.3 1 (;:M;-,> N0.75 91.58 5000 1 Dttys. 'XMMMt H»OOO 7OOOO OJNMW 5OOOO »OOOO 8OOOO 7OOOO GOOOO .1OOOO Days. 224 TABLES LXXX. LXXXI. TABLES ARGUMENTS LXXX. T5. LXXXI. re. Days. O 1OOOO 2OOOO SOOOO 4OOOO O 10000 20000 SOOOO 40OOO Days. [fciv's 5000 30,44 33.38 46.73 63.48 74.83 38.70 47.34 63.62 80.75 91.58 Days. 5000 5100 30.41 33.47 46.90 63.63 74.89 38.73 47.47 63.80 80.90 91.64 4900 5-200 30.37 33.56 47.06 63.79 74.95 38.77 47.61 63.98 81.05 91.69 4800 5300 30.34 33.65 47.23 63.94 75.01 38.80 47.74 64.16 81.20 91.75 4700 5100 30.31 33.75 47.39 64.09 75.06 38.84 47.88 64.34 81.35 91.80 4600 5500 30.28 33.84 47.56 64.24 75.12 38.88 48.02 64.52 81.50 91.85 4500 5600 30.25 33.94 47.73 64.39 75.18 38.92 48.15 64.70 81.65 91.90 4400 5700 30.23 34.03 47.90 64.54 75.23 38.96 48.30 64.88 81.80 91.95 4300 5800 30.20 34.13 48.06 64.69 75.29 39.00 48.44 65.06 81.94 92.00 4200 5900 30.18 34.23 48.23 64.84 75.34 39.04 48.58 65.24 82.09 92.05 4100 6000 30.16 34.33 48.40 64.99 75.39 39.08 48.72 65.42 82.23 92.10 4000 6100 30.14 34.43 48.57 65.14 75.44 39.13 48.86 65.60 82.37 92.15 3900 6200 30.12 34.53 48.74 65.29 75.49 39.18 49.00 65.78 82.51 92.19 3800 6300 30.10 34.63 48.90 65.43 75.54 39.22 49.14 65.96 82.65 92.24 3700 6100 30.09 34.74 49.07 65.58 75.58 . 39.27 49.29 66.14 82.79 92.28 3600 6500 30.07 34.84 49.24 65.72 75.63 39.32 49.43 66.32 82.93 92.32 3500 6600 30.06 34.95 49.41 65.86 75.67 39.37 49.57 66.50 83.07 92.36 3400 6700 30.05 35.05 49.58 66.01 75.71 39.42 49.72 66.68 83.21 92.40 3300 6800 30.04 35.16 49.75 66.15 75.75 39.47 49.86 66.86 83.35 92.44 3200 6900 30.03 35.27 49.92 66.29 75.79 39.53 50.01 67.04 83.48 92.47 3100 7000 30.02 35.38 50.09 66.43 75.83 39.58 50.16 67.22 83.62 92.51 3000 7100 30.01 35.49 50.26 66.57 75.87 39.64 50.31 67.40 83.76 92.55 2900 7200 30.01 35.60 50.43 66.71 75.90 39.69 50.46 67.58 83.89 92.58 2800 7300 30.00 35.71 50.60 66.85 75.94 39.75 50.61 67.76 84.03 92.62 2700 7100 30.00 35.83 50.77 66.99 75.97 39.81 50.77 67.94 84.16 92.65 2600 7500 30.00 35.94 50.94 67.13 76.00 39.87 50.92 68.12 84.29 92.68 2500 7600 30.00 36.06 51.11 67.27 76.03 39.93 51.07 68.30 84.42 92.71 2400 7700 30.00 36.17 51.28 67.41 76.06 39.99 51.23 68.48 84.55 92.74 2300 7800 30.00 36.29 51.46 67.54 76.09 40.06 51.38 68.66 84.68 92.77 2200 7900 30.01 36.41 51.63 67.68 76.12 40.12 51.53 68.84 84.81 92.79 2100 8000 30.01 36.53 51.80 67.81 76.15 40.19 51.69 69.02 84.94 92.82 2000 8100 30.02 36.65 51.97 67.94 76.17 40.26 51.85 69.20 85.07 92.84 1900 8200 30.02 36.77 52.14 68.08 76.20 40.32 52.00 69.38 85.20 92.86 1800 8300 30.03 36.89 52.32 68.21 76.22 40.39 52.16 69.55 85.32 92.88 1700 8400 30.04 37.02 52.49 68.34 76.24 40.46 52.31 69.73 85.45 92.90 1600 8500 30.05 37.14 52.66 68.47 76.26 40.53 52.47 69.91 85.57 92.92 1500 8600 30.06 37.26 52.83 68.60 76.28 40.60 52.63 70.09 85.69 92.94 1400 8700 30.07 37.39 53.00 68.73 76.80 40.67 52.78 70.27 85.81 92.95 1300 8800 30.09 37.51 53.18 68.86 76.81 40.75 52.94 70.44 85.93 92.97 1200 8900 30.10 37.64 53.35 68.98 76.83 40.82 53.10 70.62 86.05 92.98 1100 9000 30.12 37.77 53.52 69.11 76.34 40.90 53.26 70.80 86.17 92.99 1000 9100 30.14 37.90 53.69 69.23 76.85 40.98 53.42 70.98 86.29 93.00 900 9200 30.16 38.03 53.86 69.36 76.86 41.06 53.58 71.15 86.41 93.01 800 9300 30.18 38.16 54.04 69.48 76.87 41.14 53.74 71.33 86.53 93.02 700 9400 30.20 38.29 54.21 69.60 76.87 41.23 53.91 71.50 86.64 93.02 600 9500 30.22 38.42 54.38 69.72 76.38 41.31 54.07 71.68 86.76 93.03 500 9600 30.24 38.55 54.55 69.84 76.88 41.39 54.23 71.86 86.88 93.03 400 9700 30.27 38.69 54.72 69.96 76.39 41.48 54.40 72.03 86.99 93.03 300 9800 30.29 38.82 54.90 70.08 76.39 41.56 54.56 72.21 87.11 93.04 200 9900 30.32 38.96 55.07 70.19 76.40 41.65 54.73 72.38 87.22 93.04 100 10000 30.35 39.10 55.24 70.31 76.40 41.74 54.89 72.56 87.33 93.04 0 Days. 9OOOO SOOOO 7OOOO 6OOOO SOOOO 1)0000 8OOOO 70000 GOOOO SOOOO Days. 225 TABLE LXXXLl. Argument y-u. Equation = — 6".38 sin (y-u) — 0".97 cos (y - «) y-u o 0 + 10 + 2O° + 30°+ 4O°+ 5O°+ 6O°+ ro°+ 80°+ 180- 190- 200- 210- 22O- 230- 24O- 25O- 26O- 611 0 -0".97 -2.07 -3.09 -4.03 -4.84 -5.51 -6.01 -6.32 -6.46 0 1000 1.00 2.10 3.12 4.05 4.86 5.53 6.02 6.33 6.46 0 2000 1.03 2.13 3.14 4.08 4.88 5.54 6.03 6.33 6.46 0 3000 1.06 2.16 3.17 4.10 4.90 5.56 6.04 6.34 6.46 1 400 1.09 2.19 3.20 4.12 4.92 5.57 6.05 6.34 6.46 1 1400 1.12 2.22 3.22 4.15 4.94 5.59 6.06 6.35 6.47 1 2400 1.15 2.24 3.25 4.17 4.96 5.60 6.07 6.35 6.47 1 3400 1.19 2.27 3.28 4.19 4.98 5.62 6.08 6.36 6.47 2 800 1.22 2.30 3.30 4.22 5.00 5.63 6.09 6.36 6.47 2 1800 1.25 2.33 3.33 4.24 5.02 5.65 6.10 6.37 6.47 2 2800 1.28 2.36 3.36 4.26 5.04 5.66 6.11 6.37 6.47 3 200 1.31 2.39 3.38 4.29 5.06 5.68 6.12 6.38 6.47 3 1200 1.34 2.42 3.41 4.31 5.08 5.69 6.13 6.38 6.47 3 2200 1.38 2.44 3.44 4.33 5.10 5.71 6.14 6.39 6.46 3 3200 1.41 2.47 3.46 4.36 5.12 5.72 6.15 6.39 6.46 4 600 1.44 2.50 3.49 4.38 5.14 5.74 6.16 6.40 6.46 4 1600 1.47 2.53 3.52 4.40 5.16 5.75 6.17 6.40 6.46 4 2600 1.50 2.56 3.54 4.43 5.18 5.77 6.18 6.41 6.46 5 0 1.53 2.59 3.57 4.45 5.20 5.78 6.19 6.41 6.46 5 1000 1.56 2.62 3.60 4.47 5.22 5.79 6.20 6.41 6.46 5 2000 1.59 2.65 3.62 4.49 5.24 5.81 6.20 6.42 6.45 5 3000 1.62 2.67 3.65 4.52 5.25 5.82 6.21 6.42 6.45 6 400 1.65 2.70 3.67 4.54 5.27 5.84 6.22 6.42 6.45 6 1400 1.68 2.73 3.70 4.56 5.29 5.85 6.22 6.43 6.44 6 2400 1.71 2.76 3.72 4.58 5.30 5.86 6.23 6.43 6.44 6 3400 1.74 2.78 3.75 4.60 5.32 5.88 6.24 6.43 6.43 7 800 1.77 2.81 3.78 4.63 5.34 5.89 6.24 6.43 6.43 7 1800 1.80 2.84 3.80 4.65 5.36 5.90 6.25 6.44 6.42 7 2800 1.83 2.87 3.83 4.67 5.37 5.92 6.26 6.44 6.42 8 200 1.86 2.89 3.85 4.69 5.39 5.93 6.27 6.44 6.41 8 1200. 1.89 2.92 3.88 4.71 5.41 5.95 6.27 6.44 6.41 8 2200 1.92 2.95 3.90 4.74 5.42 5.96 6.28 6.44 6.40 8 3200 1.95 2.98 3.93 4.76 5.44 5.97 6.29 6.45 6.40 9 600 1.98 3.00 3.95 4.78 5.46 5.98 6.30 6.45 6.39 9 1600 2.01 3.03 3.98 4.80 5.47 5.99 6.30 6.45 6.39 9 2600 2.04 3.06 4.00 4.82 5.49 6.00 6.31 6.46 6.38 10 0 —2.07 -3.09 -4.03 -4.84 -5.51 -6.01 -6.32 -6.46 -6.38 NOTE. — When y-u exceeds 180° the Sign of the Equation is to be reversed. 226 TABLE LXXXI^L. Argument y - u. Equation = — 6".38 sin (y - u) — 0".97 cos (y - u). 0 o o O O o 90 + 1OO + 11O + 120 + 130 + 14O + 150 + 160 + 170 + y — u 27O- 28O- 29O- 3OO- 31O- 32O- 330- 34O- 35O- O II 0 0 -6.38 -6.12 -5.66 —5.04 -4.26 -3.36 -2.35 -1.27 —0.15 0 1000 6.38 6.11 5.64 5.02 4.24 3.33 2.32 1.24 0.12 0 2000 6.37 6.10 5.63 5.00 4.21 3.30 2.29 1.21 0.09 0 3000 6.37 6.08 5.61 4.98 4.19 3.28 2.26 1.18 0.06 1 400 6.36 6.07 5.59 4.96 4.16 3.25 2.23 1.15 -0.02 1 1400 6.36 6.06 5.58 4.94 4.14 3.22 2.20 1.11 +0.01 1 2400 6.35 6.05 5.56 4.92 4.11 3.20 2.17 1.08 0.04 1 3400 6.35 6.04 5.55 4.90 4.09 3.17 2.14 LOS 0.07 2 800 6.34 6.02 5.53 4.88 4.07 3.14 2.11 1.02 0.10 2 1800 6.34 6.01 5.51 4.85 4.04 3.11 2.08 0.99 0.13 2 2800 6.33 6.00 5.50 4.83 4.02 3.09 2.06 0.96 0.16 3 200 6.33 5.99 5.48 4.81 3.99 3.06 2.03 0.93 0.20 3 1200 6.32 5.98 5.47 4.79 3.97 3.03 2.00 0.90 0.23 3 2200 6.31 5.97 5.45 4.77 3.94 3.01 1.97 0.86 0.26 3 3200 6.31 5.95 5.43 4.75 3.92 2.98 1.94 0.83 0.29 4 600 6.30 5.94 5.42 4.73 3.89 2.95 1.91 0.80 0.32 4 1600 6.29 5.93 5.40 4.71 3.87 2.93 1.88 0.77 0.35 4 2600 6.29 5.92 5.39 4.69 3.84 2.90 1.85 0.74 0.38 5 0 6.28 5.91 5.37 4.67 3.82 2.87 1.82 0.71 0.41 5 1000 6.27 5.90 5.35 4.65 3.79 2.84 1.79 0.68 0.44 5 2000 6.26 5.88 5.33 4.63 3.77 2.81 1.76 0.65 0.47 5 3000 6.26 5.87 5.32 4.60 3.74 2.78 1.73 0.62 0.50 6 400 6.25 5.86 5.30 4.58 3.71 2.76 1.70 0.59 0.53 6 1400 6.24 5.84 5.28 4.56 3.69 2.73 1.67 0.55 0.56 6 2400 6.23 5.83 5.26 4.54 3.66 2.70 1.64 0.52 0.60 6 3400 6.22 5.81 5.24 4.51 3.64 2.67 1.61 0.49 0.63 7 800 6.21 5.80 5.23 4.49 3.61 2.64 1.58 0.46 0.66 7 1800 6.20 5.78 5.21 4.47 3.58 2.61 1.54 0.43 0.69 7 2800 6.20 5.77 5.19 4.45 3.56 2.58 1.51 0.40 0.72 8 200 6.19 5.75 5.17 4.42 3.53 2.56 1.48 0.37 0.75 8 1200 6.18 5.74 5.15 4.40 3.50 2.53 1.45 0.33 0.79 8 2200 6.17 5.73 5.14 4.38 3.48 2.50 1.42 0.30 0.82 8 3200 6.16 5.71 5.12 4.35 3.45 2.47 1.39 0.27 0.85 9 600 6.15 5.70 5.10 4.33 3.43 2.44 1.36 0.24 0.88 9 1600 6.14 5.68 5.08 4.31 3.40 2.41 1.33 0.21 0.91 9 2600 6.13 5.67 5.06 4.28 3.38 2.38 1.30 0.18 0.94 10 0 -6.12 -5.66 -5.04 -4.26 -3.36 -2.35 -1.27 -0.15 +0.97 NOTE. — When y - u exceeds 180° the Sign of the Equation is to be reversed. 227 TABLE LXXXIL ARGUMENT 77, Equation = — 416".9 sin. 2J. O o o o o o o o o 27O + 271 + 272 + 273 + 274 + 275 + 276 + 277 + 278 + ISO — 181- 182- 183- 184- 185- 186 — 187- 188- y y 9O + 91 + 92 + 93 + 91 + 95 + 96 + 97 + 98 + O- 1- 2- 3- 4- 5- 6- 7- 8 — ii 0 o.oo 14.55 29.08 43.58 58.02 72.39 86.68 100.86 114.91 3600 100 0.40 14.95 29.48 43.98 58.42 72.79 87.07 101.25 115.30 3500 200 0.81 15.36 29.89 44.38 58.82 73.19 87.47 101.64 115.69 3400 300 1.21 15.76 30.29 44.78 59.22 73.59 87.86 102.03 116.08 3300 400 1.62 16.16 30.69 45.18 59.62 73.99 88.26 102.42 116.47 3200 500 2.02 16.57 31.10 45.59 60.02 74.38 88.65 102.82 116.85 3100 600 2.43 16.97 31.50 45.99 60.42 74.78 89.05 103.21 117.24 3000 700 2.83 17.37 31.90 46.39 60.82 75.18 89.44 103.60 117.63 2900 800 3.24 17.78 32.31 46.79 61.22 75.57 89.84 103.99 118.01 2800 900 3.64 18.18 32.71 47.19 61.62 75.97 90.23 104.38 118.40 2700 1000 4.04 18.59 33.11 47.59 62.02 76.37 90.63 104.77 118.79 2600 1100 4.45 18.99 33.52 48.00 62.42 76.77 91.02 105.17 119.18 2500 1200 4.85 19.40 33.92 48.40 62.82 77.17 91.42 105.56 119.57 2400 1300 5.25 19.80 34.32 48.80 63.22 77.57 91.81 105.95 119.96 2300 1400 5.66 20.21 34.73 49.20 63.62 77.96 92.21 106.34 120.34 2200 1500 6.06 20.61 35.13 49.60 64.02 78.36 92.60 106.73 120.73 2100 1600 6.46 21.01 35.53 50.00 64.42 78.76 92.99 107.12 121.12 2000 1700 6.87 21.42 35.94 50.41 64.82 79.15 93.39 107.51 121.50 1900 1800 7.28 21.82 36.34 50.81 65.22 79.55 93.78 107.90 121.89 1800 1900 7.68 22.22 36.74 51.21 65.62 79.95 94.17 108.29 122.28 1700 2000 8.09 22.63 37.15 51.61 66.01 80.34 94.57 108.68 122.66 1600 2100 8.49 23.03 37.55 52.01 66.41 80.74 94.96 109.07 123.05 1500 2200 8.89 23.43 37.95 52.41 66.81 81.14 95.35 109.46 123.43 1400 2300 9.30 23.84 38.35 52.81 67.21 81.53 95.75 109.85 123.82 1300 2400 9.70 24.24 38.75 53.21 67.61 81.93 96.14 110.24 124.20 1200 2500 10.10 24.64 39.15 53.61 68.01 82.33 96.53 110.63 124.59 1100 2600 10.51 25.05 39.56 54.02 68.41 82.72 96.93 111.02 124.97 1000 2700 10.91 25.45 39.96 54.42 68.81 83.12 97.32 111.41 125.36 900 2800 11.32 25.85 40.36 54.82 69.21 83.51 97.71 111.80 125.75 800 2900 11.72 26.26 40.77 55.22 69.60 83.91 98.11 112.19 126.13 700 3000 12.13 26.66 41.17 55.62 70.00 84.30 98.50 112.58 126.52 600 3100 12.53 27.06 41.57 56.02 70.40 84.70 98.89 112.97 126.90 500 3200 12.94 27.47 41.98 56.42 70.80 85.09 99.29 1 13.36 127.29 400 3300 13.34 27.87 42.38 56.82 71.20 85.49 99.68 113.75 127.67 300 3400 13.74 28.27 42.78 57.22 71.60 85.89 100.07 114.14 128.06 200 3500 14.15 28.68 43.18 57.62 71.99 86.28 100.47 114.52 128.44 100 3600 14.55 29.08 43.58 58.02 72.39 86.68 100.86 114.91 12N.H3 0 89- 88- 87- 8°6- 85- &- 83- 8»- 81- 1T9 + 178 + 177 + 176 + 173 + 174 + 173 + 172 + 171 + y y 269- 268- 267- 266- 265- 264- 263- 262- 261 — 359 + 358 + 337 + 336 + 353 + 334 + 353 + 352 + 351 + 228 TABLE LXXXII. ARGUMENT 77. Equation = — 416".9 sin. 2y. - o o o o o o o o o 279 + 28O + 281 + 282 + 283 + 284 + 285 + 286 + 287 + 189 — 19O — 191 - 192- 193- 194- 195 — 196 — 197 — y a 99 + 10O + 1O1 + 102 + 103 + 1O4 + 105 + 1O6 + 1O7 + 9- 1O — 11- 12- 13- 14- 15- 16 — 17 — H 0 128.83 142.59 156.17 169.57 182.76 195.72 208.45 220.92 233.13 3600 100 129.21 142.97 156.55 169.94 183.12 196.08 208.80 221.26 233.46 3500 200 129.60 143.35 156.92 170.31 183.48 196.43 209.15 221.61 233.80 3400 300 129.98 143.73 157.30 170.68 183.84 196.79 209.50 221.95 234.13 3300 400 130.36 144.11 157.67 171.05 184.20 197.15 209.85 222.29 234.46 3200 500 130.75 144.48 158.05 171.42 184.57 197.50 210.20 222.64 234.80 3100 600 131.13 144.86 158.42 171.79 184.93 197.86 210.55 222.98 235.13 3000 700 131.51 145.24 158.79 172.16 185.29 198.22 210.90 223.32 235.46 2900 800 131.90 145.62 159.17 172.52 185.66 198.57 211.24 223.66 235.80 2800 900 132.28 146.00 159.54 172.89 186.02 198.93 211.59 224.00 236.13 2700 1000 132.66 146.38 159.91 173.26 186.38 199.28 211.94 224.34 236.46 2600 1100 133.05 146.76 160.29 173.62 186.75 199.64 212.29 224.68 236.80 2500 1200 133.43 147.14 160.66 173.99 187.11 199.99 212.64 225.02 237.13 2400 1300 133.81 147.52 161.03 174.36 187.47 200.34 212.99 225.36 237.46 2300 1400 134.20 147.89 161.41 174.72 187.83 200.70 213.33 225.70 237.80 2200 1500 134.58 148.27 161.78 175.09 188.19 201.05 213.68 226.04 238.13 2100 1600 134.96 148.65 162.15 175.46 188.55 201.41 214.03 226.38 238.46 2000 1700 135.35 149.02 162.53 175.82 188.91 201.76 214.37 226.72 238.79 1900 1800 135.73 149.40 162.90 176.19 189.27 202.12 214.72 227.06 239.12 1800 1900 136.11 149.78 163.27 176.56 189.63 202.47 215.06 227.40 239.45 1700 2000 136.50 150.15 163.64 176.92 189.99 202.83 215.41 227.73 239.79 1600 2100 136.88 150.53 164.01 177.29 190.35 203.18 215.75 228.07 240.12 1500 2200 137.26 150.91 164.38 177.66 190.71 203.53 216.10 228.41 240.45 1400 2300 137.64 151.28 164.75 178.02 191.07 203.89 216.44 228.74 240.78 1300 2400 138.02 151.66 165.12 178.39 191.43 204.24 216.79 229.08 241.11 1200 2500 138.40 152.04 105.49 178.75 191.79 204.5: 217.14 229. -12 241.44 1100 2600 138.78 152.41 165.87 179.12 192.15 204.94 217.48 229.76 241.77 1000 2700 139.16 152.79 166.24 179.48 192.51 205.29 217.83 230.10 242.10 900 2800 139.54 153.17 166.61 179.84 192.87 205.64 218.17 230.44 242.43 800 2900 139.93 153.54 166.98 180.21 193.22 206.00 218.52 230.77 242.75 700 3000 140.31 153.92 167.35 180.57 • 193.58 206.35 218.86 231.11 243.08 600 3100 140.69 154.30 167.72 180.94 193.94 206.70 219.20 231.45 243.41 500 3200 141.07 154.67 168.09 181.30 194.29 207.05 219.55 231.78 243.73 400 3300 141.45 155.05 168.46 181.67 194.65 207.40 219.89 232.12 244.06 300 3400 141.83 155.42 168.83 182.03 195.01 207.75 220.23 232.46 244.39 200 3500 142.21 155.80 169.20 182.40 195.36 208.10 220.58 232.79 244.71 100 3600 142.59 156.17 169.57 182.76 195.72 208.45 220.92 233.13 245.04 0 o o o o o o o o 80- 79 — 78 — 77 — 76- 75- 74 — 73- 72- 17O + 169 + 168 + 167 + 166 + 165 + 164 + 163 + 162 + s y 26O- 259 — 258 — 257 — 256 — 255 — 254 — 253- 252 — 35O + 349 + 348 + »47 + 346 + 345 + 344 + 343 + 342 + 229 TABLE LXXXII. ARGUMENT 77. Equation = — 416".9 sin. 2y. o o o o o o o o 288 + 289 + 290 + 291 + 292 + 293 + 29°4 + 295 + 296 + 198- 199- 2OO- 201 - 202- 2O3- 20 1 - 2O5- 206- y 9 1OS + 1O9 + 110 + 111 + 112 + 113 + 114 + 115 + 116 + 18- 19- 20- 21- 22- 23- 24- 25- 26- 6 245.04 256.67 267.98 278.96 289.60 299".88 309.82 319.36 328.52 3600 100 245.37 256.99 268.29 279.26 289.89 300.16 310.09 319.62 328.77 3500 200 245.69 257.30 268.59 279.56 290.18 300.45 310.36 319.88 329.02 3400 300 246.02 257.62 268.90 279.86 290.47 300.73 310.63 320.14 329.27 3300 400 246.35 257.94 269.21 280.16 290.76 301.01 310.90 320.40 329.52 3200 500 246.67 258.25 269.52 280.46 291.05 301.29 311.17 320.65 329.76 3100 600 247.00 258.57 269.83 280.76 291.34 301.57 311.44 320.91 330.01 3000 700 247.33 258.88 270.14 281.06 291.63 301.85 311.71 321.17 330.26 2900 800 247.65 259.20 270.44 281.35 291.91 302.13 311.97 321.42 330.50 2800 900 247.98 259.52 270.75 281.65 292.20 302.41 312.24 321.68 330.75 2700 1000 248.31 259.84 271.06 281.95 292.49 302.69 312.51 321.94 330.99 2600 1100 248.63 260.15 271.37 282.24 292.77 302.96 312.77 322.19 331.24 2500 1200 248.96 260.47 271.68 282.54 293.06 303.24 313.04 322.45 331.48 2400 1300 249.28 260.79 271.99 282.84 293.35 303.52 313.31 322.71 331.73 2300 1400 249.61 261.10 272.29 283.13 293.64 303.79 313.57 322.96 331.97 2200 1500 249.93 261.42 272.60 283.43 293.93 304.07 313.84 323.22 332.22 2100 1600 250.25 261.73 272.90 283.73 294.22 304.35 314.11 323.47 332.46 2000 1700 250.58 262.05 273.21 284.02 294.50 304.62 314.37 323.73 332.71 1900 1800 250.90 262.36 273.51 284.32 294.79 304.90 314.64 323.98 332.95 1800 1900 251.22 262.67 273.81 284.61 295.08 305.17 314.90 324.24 333.19 1700 2000 251.54 262.99 274.12 284.91 295.36 305.45 315.17 324.49 333.44 1600 2100 251.86 263.30 274.42 285.20 295.65 305.72 315.43 324.75 333.68 1500 2200 252.18 263.61 274.72 285.50 295.93 306.00 315.69 325.00 333.92 1400 2300 252.51 263.93 275.03 285.79 296.22 306.27 315.96 325.26 334.16 1300 2400 252.83 264.24 275.33 286.09 296.50 306.55 316.22 325.51 334.40 1200 2500 253 IT, 264.55 275.63 286.38 296.78 306.82 316.48 325.76 334.64 1100 2600 253.47 264.87 27594 286.68 297.07 307.10 316.75 326.01 884.89 1000 2700 253.79 265.18 276.2 1 286.97 297.35 307.37 317.01 326.26 335.13 900 2800 254.11 265.49 276.51 287.26 297.63 307.64 317.27 326.51 335.37 800 2900 254.43 265.81 276.85 287.56 297.92 307.92 317.54 326.77 335.61 700 3000 251.75 266.12 277.15 287.85 298.20 308.19 317.80 327.02 335.85 600 3100 255.07 266.43 277.45 288.14 298.48 308.46 318.06 327.27 336.09 500 3200 255.39 266.74 277.76 2N*,I 1 298.76 808.78 318.32 327.52 336.33 400 3300 -,':>:>. 7 1 267.05 278.06 288.73 299.04 309.00 818.68 IW7.77 336.57 300 3400 256.03 267.36 278.36 289.02 299.32 309.27 318.84 328.02 336.81 200 3500 256.35 267.67 278.66 289.31 299.60 309.55 319.10 328.27 337.04 100 3600 256.67 267.98 278.96 289.60 299.88 309.82 319.36 328.52 3.'t7.iiH 0 0 71 — O 7O — O 69 — 68- 67- O 66- 65- 64- 63- 161 • 100 + 1.19 + 138 + 1.17 + 1.16 + 1.1.1 + 1.14 + 1.13 + y s 251 - 2.10 —, 249 — 21*- 247- 246- 2 1.1 - 244- 243- 341 + 310 + 339 + 338 + 337 + 336 + 333 + 334 + 333 + 230 TABLE LXXXII. ARGUMENT 77, Equation = — 416".9 sin. 2j. * O O o o o o o o o 297 + 298 + 299 + 30O + 3O1 + 3O2 + 3O3 + 304 + 305 + 2O7- 2O8 — 209- 21O- 211- 212- 213- 214- 215- 9 9 117 + 118 + 119 + 120 + 121 + 122 + 123 + 124 + 125 + 27- 28 — 29- 30- 31- 32 — 33- 34- 35- H 0 337.28 345.62 353.55 361.05 368.09 374.71 380.85 386.54 391.76 3600 100 337.51 345.85 353.76 361.25 368.28 374.89 381.02 386.69 391.90 3500 200 337.75 346.07 353.98 361.45 368.47 375.06 381.18 386.81 392.03 3400 300 337.98 346.30 354.19 361.65 368.66 375.24 381.35 386.99 392.17 3300 400 338.22 346.53 354.40 361.85 368.85 375.42 381.51 387.14 392.31 3200 500 338.45 346.75 354.62 362.05 369.04 375.59 381.68 387.29 392.44 3100 600 338.69 346.98 354.83 362.25 369.23 375.77 381.84 387.44 392.58 3000 700 338.93 347.20 355.04 362.45 369.42 375.94 382.00 387.59 392.72 2900 800 339.16 347.43 355.26 362.65 369.60 376.12 382.16 387.74 392.85 2800 900 339.40 347.65 355.47 362.85 369.79 376.29 382.32 387.89 392.99 2700 1000 339.63 347.87 355.68 363.05 369.98 376.46 382.48 388.04 393.12 2600 1100 339.87 348.09 355.89 363.25 370.16 376.64 382.64 388.18 393.26 2500 1200 340.10 348.31 356.10 363.45 370.35 376.81 382.80 388.33 393.39 2400 1300 340.33 348.53 356.31 363.65 370.53 376.99 382.96 388.48 393.52 2300 1400 340.57 348.76 356.51 363.84 370.72 377.16 383.12 388.62 393.65 2200 1500 340.80 348.98 356.72 364.04 370.90 377.33 383.28 388.77 393.78 2100 1600 341.03 349.20 356.93 364.24 371.09 377.50 383.44 388.92 393.91 2000 1700 341.27 349.42 357.14 364.43 371.27 377.67 383.60 389.06 394.05 1900 1800 341.50 349.64 357.35 364.63 371.46 377.84 383.76 389.21 394.18 1800 1900 341.73 349.86 357.56 364.83 371.64 378.01 383.92 389.35 394.31 1700 2000 341.97 350.08 357.76 305.02 371.83 378.18* 384.07 389.50 394.41 1600 2100 342.20 350.30 357.97 365.22 372.01 378.35 384.23 389.64 394.57 1500 2200 342.43 350.52 358.18 365.41 372.19 378.52 384.39 389.78 394.70 1400 2300 342.66 350.73 358.3S S'iS.Gl 37'2.:i7 378.68 384.54 389.93 394.83 1300 2400 342.89 350.95 358.59 365.80 372.55 378.85 384.70 390.07 394.96 1200 2500 343.12 351.17 358.80 365.99 372.73 379.0:2 384.85 3!?0.'71 395.09 1100 2600 343.35 351.39 359.00 366.19 372.91 379.18 385.01 390.36 395.22 1000 2700 343.58 351.61 359.21 366.38 373.09 379.35 385.16 390.50 395.35 900 2800 343.81 351.83 359.42 366.57 373.27 379.52 385.32 390.64 395.48 800 2900 344.03 352.04 359.62 366.76 373.45 379.69 385.47 390.78 395.61 700 3000 344.26 352.26 359.83 366.95 373.63 379.86 385.63 390.92 395.74 600 3100 344.49 352.48 360.03 367.14 373.81 380.03 385.78 391.06 395.87 500 3200 344.71 352.69 360.24 367.33 373.99 380.19 385.94 391.20 395.99 400 3300 344.94 352.91 360.44 367.52 374.17 380.36 386.09 391.34 396.12 300 3400 345.17 353.12 360.64 367.71 374.35 380.52 386.24 391.48 396.25 200 3500 345.39 353.34 360.85 367.90 374.53 380.69 386.39 391.62 396.37 100 3600 345.62 353.55 361.05 368.09 374.71 380.85 386.54 391.76 396.50 0 O O O O O o O O O 62 — 61 — 6O — 59 — 58 — 57 — 56 — 55 — 54 — 152 + 151 + 150 + 149 + 148 + 147 + 146 + 145 + 144 + 9 9 242- 241- 240- 239 — 238 — 237 — 236 — 235- 234- 332 + 331 + 33O + 329 + 328 + 327 + 326 + 325 + 324 + 231 TABLE LXXXII. ARGUMENT 7T. Equation = — 416".9 sin. 2j. 3O6 + 3O7 + 308 + 309 + 3 1O + 3I°1 + 312 + 313 + 314 + 216- 217- 218 — 219- 220- 221 - 222- 223- 224- y y 126 + 127 + 128 + 129 + 130 + 131 + 132 + 133 + 134 + 36- 37- 38- 39- 40- 41- 42- 43- 44- to 0 396.50 400.75 404.51 407.78 410.56 412.84 414.61 415.89 416.65 3600 100 396.62 400.86 404.61 407.86 410.63 412.90 414.65 415.92 416.66 3500 200 396.75 400.97 404.71 407.95 410.70 412.95 414.70 415.94 416.68 3400 300 396.87 401.08 404.81 408.03 410.77 413.01 414.74 415.97 416.69 3300 400 396.99 401.19 404.91 408.11 410.84 413.06 414.78 416.00 416.70 3200 500 397.12 401.30 405.00 408.20 410.91 413.12 414.82 416.02 416.72 3100 600 397.24 401.41 405.10 408.28 410.98 413.17 414.86 416.05 416.73 3000 700 397.36 401.52 405.19 408.36 411.05 413.22 414.90 416.07 416.74 2900 800 397.48 401.63 405.29 408.45 411.11 413.28 414.94 416.10 416.75 2800 900 397.60 401.74 405.38 408.53 411.18 413.33 414.98 416.12 416.76 2700 1000 397.72 401.85 405.47 408.61 411.25 413.38 415.02 416.14 416.77 2600 1100 397.85 401.95 405.57 408.69 411.31 413.43 415.05 416.17 416.78 2500 1200 397.97 402.06 405.66 408.77 411.38 413.48 415.09 416.19 416.79 2400 1300 398.09 402.16 405.75 408.85 411.44 413.54 415.13 416.21 416.80 2300 1400 398.21 402.27 405.85 408.93 411.51 413.59 415.16 416.24 416.80 2200 1500 398.33 402.37 405.94 409.01 411.57 413.64 415.20 416.26 416.81 2100 1600 398.45 402.48 406.03 409.09 411.63 413.69 415.24 416.28 416.82 2000 1700 398.56 402.58 406.12 409.16 411.70 413.74 415.27 416.30 416.82 1900 1800 398.68 402.69 406.21 409.24 411.76 413.79 415.31 416.32 416.83 1800 1900 398.80 402.79 406.30 409.32 411.82 413.84 415.34 416.34 416.84 1700 2000 398.91 402.90 406.39 * 409.39 411.89 413.88 415.38 416.37 416.84 1600 2100 399.03 403.00 406.48 409.47 411.95 413.93 415.41 416.39 416.85 1500 2200 399.15 403.10 406.57 409.54 412.01 413.98 415.44 416.41 416.86 1400 2300 399.26 403.21 406.66 409.62 412.08 414.02 415.48 416.43 416.86 1300 2400 399.38 403.31 406.75 409.69 412.14 414.07 415.51 416.45 416.87 1200 2500 399.50 403.41 406.84 409.77 412.20 414.12 415.54 416.47 416.87 1100 2600 399.61 403.52 406.93 409.84 412.26 414.16 415.58 416.48 416.88 1000 2700 399.73 403.62 407.02 409.92 412.32 414.21 415.61 416.50 416.88 900 2800 399.84 403.72 407.11 409.99 412.38 414.26 415.64 416.52 416.88 800 2900 399.96 403.82 407.19 410.07 412.44 414.30 415.68 416.53 416.89 700 3000 400.07 403.92 407.28 410.14 412.50 414.35 415.71 416.55 416.89 600 3100 400.18 401.02 407.36 410.21 412.56 414.39 415.74 416.57 416.89 500 3200 400.30 404.12 407.45 410.28 412.61 414.44 415.77 416.58 416.90 400 3300 100.41 40422 407.53 410.35 412.67 414.48 415.80 416.60 416.90 300 3400 400.52 404.32 407.61 410.42 412.73 414.52 415.83 416.62 416.90 200 MOO 400.64 404.41 407.70 410.49 412.78 414.57 415.86 416.63 416.90 100 3600 400.75 404.51 407.78 410.56 412.84 414.61 415.N9 416.65 416.90 0 aa- ««- Sl- *»- o 49 — 48- 47- O 46 — o 45 — 143 + 142 + 141 + 140 + 139 + 138 + 137 + 136 + 133 + y y 233 - 232 - 231 — 230- 229- 228- 227- 226- 225- 323 + 322 + 321 + 32O + 319 + 318 + 317 + 316 + 315 + 232 TABLES Vr.-XXI.IV ABGUMENTS AND EQUATIONS. TABLE. ARGUMENT. EQUATION. VI". 1 76.0 — 73.563 sin. x — 9".993 sin. 2x — 1".071 sin. 3a: — 0".104 sin. 4x — 0".008 sin. 5x. VII". 2 11.2 —11. 18 sin. (2t — a) — 0".304 sin. (4< — 2x). VIII". 3 31.16 + 0.345 sin. t — 20".808 sin. 2t — 0".023 sin. 3« — 0".65 sin. 4t. XI". 6 0.42 — 0.420 sin. (2< — z — x). XII". 7 5.12 — 5.117 sin. (2t + x). XIII". 8 1.73 — 1.727 sin. (2« — z). XIV". 9 0.41 — 0.411 sin. (x — z). XV". 10 0.41 + 0.413 sin. (x + z). XVI". 11 0.29 -+- 0.288 sin. (2y — x). XVIII". 13 0.92 — 0.920 sin. (4« — a;). XIX". 14 0.08 -j- 0.083 sin. (2t + z — a;). XX". 15 0.31 + 0.306 sin. (2< + z). XXI". 16 0.80 — 0.100 sin. (2« + 2x). XXII". 17 0.06 — 0.057 sin. (t + z). XXIII". 18 0.35 — 0.354 sin. (2< -f x — z). XXIV". 19 0.05 + 0.054 sin. (3.r — 2t). XXV". 20 0.11— 0.115 sin. (2x — z). XXVII". 22 0.07 — 0.074 sin. (2t — 2z). XXIX". 24 0.10 + 0.102 sin. (2a; + z). XXX". 25 0.08 + 0.081 sin. (2t + z + a:). XXXI". 26 0.14 — 0.137 sin. (4t + x). XXXV". 30 0.19 — 0.087 sin. (4* — x — z). VI.IV- 1 0.45 + 0.239 sin. x + 0".130 sin. 2x + 0".031 sin. Sir + 0".005 sin. 4a;. VII.IT- 2 0.03 + 0.027 sin. (2t — x) + 0".003 sin. (4« — 2*). VIII.IT- 3 0.31 + 0.303 sin. 2t + 0".006 sin. 3* + 0".029 sin. 4*. XII.IV- 7 0.14 + 0.136 sin. (2« + x). XIII.IV- 8 0.02 + 0.018 sin. (2t — x). xvm.IV- 13 0.02 + 0.022 sin. (4« — x). XXI.17- 16 0.03 + 0.033 sin. (2t + 2s). 233 TABLE VI". ARGUMENT 1. Equation = 76". — 73".563 sin. *— 9".993 sin. 2* — 1".071 sin. 5x — 0".104 sin. 4x — 0".008 sin. 5*. Period, 27.55455246 days. Days. O 1 2 3 4 S 6 7 8 9 Days, .00 148.41 151.14 149.71 143.45 132.05 115.85 95.92 74.04 52.34 32.97 .01 148.45 151.15 149.67 143.36 131.91 115.67 95.71 73.82 63.13 32.80 .02 148.50 151.16 149.63 143.27 131.77 115.48 95.50 73.60 51.9-2 32.62 .03 148.54 151.16 149.59 143.18 131.63 115.30 95.28 73.38 51.72 32.45 .04 148.58 151.17 149.55 143.09 131.49 115.11 95.07 73.15 51.51 32.27 .05 148.63 151.17 149.51 143.00 131.34 114.93 94.86 72.93 51.30 32.10 .06 148.67 151.18 149.47 142.91 131.20 114.74 94.64 72.71 51.10 31.93 .07 148.72 151.18 149.43 142.82 131.06 114.56 94.43 72.48 50.89 31.75 .08 148.76 151.18 149.39 142.72 130.91 114.37 94.22 72.26 50.69 31.58 .09 148.80 151.19 149.35 142.63 130.77 114.19 94.01 72.04 50.48 31.40 .10 148.84 151.19 149.31 142.54 130.63 114.00 93.79 71.82 50.27 31.23 .11 148.88 151.19 149.27 142.44 130.48 113.81 93.58 71.60 50.06 31.06 .12 148.92 151.19 149.23 142.35 130.34 113.62 93.36 71.38 49.86 30.89 .13 148.97 151.20 149.18 142.26 130.19 113.44 93.15 71.16 49.65 30.72 .14 149.01 151.20 149.14 142.17 130.05 113.25 92.93 70.94 49.45 30.55 .15 149.05 151.20 149.10 142.07 129.90 1 13.06 92.72 70.71 49.24 30.38 .16 149.09 151.20 149.05 141.97 129.76 1 12.87 92.50 70.49 49.04 30.21 .17 149.13 151.21 149.01 141.87 129.61 112.68 92.29 70.27 48.83 30.04 .18 149.17 151.21 148.96 141.78 129.47 112.49 92.07 70.05 48.63 29.87 .19 149.21 151.21 148.92 141.68 129.32 112.30 91.86 69.83 48.42 29.70 .20 149.25 151.21 148.87 141.58 129.17 112.11 91.64 69.61 48.22 29.53 .21 149.29 151.21 148.82 141.48 129.02 111.92 91.42 69.39 48.02 29.36 .22 149.33 151.21 148.78 141.38 128.87 111.73 91.21 69.17 47.82 29.20 .23 149.37 151.20 148.73 141.28 128.72 111.53 90.99 68.95 47.62 29.03 .24 149.40 151.20 148.68 141.18 128.57 111.34 90.78 68.73 47.41 28.87 .25 149.44 151.20 148.63 141.08 128.42 111.15 90.56 68.50 47.21 28.70 .26 149.47 151.19 148.58 140.98 128.27 110.96 90.34 68.28 47.01 28.53 .27 149.51 151.19 148.53 140.88 128.11 110.77 90.12 68.06 46.80 28.37 .28 149.54 151.19 148.47 140.77 127.96 110.57 89.91 67.84 46.60 28.20 .29 149.58 151.18 148.42 140.67 127.81 110.38 89.69 67.62 46.40 28.04 .30 14962 151.18 148.37 140.57 127.66 110.19 89.47 67.40 46.20 27.87 .31 149.65 151.17 148.31 140.47 127.31 109.99 89.25 67.18 46.00 27.71 .32 149.68 151.17 148.26 140.36 127.35 109.80 89.03 66.96 45.80 27.66 .33 149.72 151.16 148.20 140.25 127.20 109.61 88.82 66.74 45.60 27.38 .34 149.75 151.16 148.15 140.14 127.04 109.42 88.60 66.52 45.40 27.22 .35 •149.79 151.15 148.09 140.04 126.89 109.22 88.38 66.30 45.20 27.06 .36 149.82 151.14 148.04 139.93 126.73 109.02 88.16 66.09 45.01 26.90 .37 149.86 151.14 147.98 139.82 126.58 108.83 87.94 65.87 44.81 20.7 1 .38 149.89 151.13 147.93 189.73 126.42 108.63 87.73 65.65 44.61 26.58 .39 149.92 151.12 147.87 139.61 126.26 108.44 87.51 65.43 44.41 26.42 .40 149.95 151.11 147.82 139.50 126.10 108.24 87.29 65.21 41.21 26.26 .41 149.98 151.10 147.7C 139.3! 125.94 108.04 87.07 6 1.99 1 I.I) 26.10 .42 150.01 151.09 147.71 139.28 125.78 107.84 86.85 64.77 13.82 25.94 .43 150.0 151.08 147.65 139.17 125.62 107.65 86.63 64.55 43.62 25.79 .44 150.07 151.07 147.59 139.06 125.46 107.45 86.41 64.34 43.43 25.63 .45 150.10 151.06 147.53 138.95 125.30 107.25 86.19 CI.1-. 43.23 25.47 .46 150.13 151.05 147.47 138.8 125.14 107.05 85.97 63.90 43.03 '25.31 .47 150.16 151.03 147.4 188.7J 124.98 106.85 85.75 63.69 42.84 25.16 .48 150.19 151.02 147.3 188.6 124.82 106.65 85.53 (i.'f. 17 42.64 25.00 .49 150.22 151.01 147.28 138.50 124.66 106.45 85.31 63.25 42.45 24.85 .50 150.25 151.00 147.22 138.39 IS4.M 106.25 85.09 63.03 42.25 24.69 TABLE VI". ARGUMENT 1. Equation = 76". — 73".563 sin. x— 9' .993 sin. 2x — 1".071 sin. 3x — 0".104 sin. 4x — 0".008 sin. 5x. Period, 27.55455246 days. Days. O 1 3 3 4 S 6 7 8 9 Days. .50 150.25 151. 00 147.22 138.39 124.50 106.25 85.09 63.03 42.25 24.69 .51 150.28 150.98 147.16 138.27 124.34 106.05 84.87 62.81 42.06 24.54 .52 150.30 150.97 147.09 138.16 124.17 105.85 84.65 62.59 41.86 24.38 .53 150.33 150.95 147.03 138.04 124.01 105.65 84.43 62.38 41.67 24.23 .54 150.35 150.94 146.96 137.93 123.84 105.45 84.21 62.16 41.47 24.07 .55 150.38 150.92 146.90 137.81 123.68 105.25 83.99 61.94 41.28 23.92 .56 150.40 150.91 146.83 137.69 123.51 105.05 83.77 61.73 41.09 23.77 .57 150.43 150.89 146.77 137.57 123.35 104.85 83.55 61.51 40.90 23.62 .58 150.45 150.87 146.70 137.46 123.18 104.64 83.33 61.30 40.70 23.47 .59 150.48 150.85 146.64 137.34 123.02 104.44 83.11 61.08 40.51 23.32 .60 150.50 150.83 146.57 137.22 122.85 104.24 82.89 60.86 40.32 23.17 .61 150.52 150.81 146.50 137.10 122.68 104.04 82.67 60.64 40.13 23.02 .62 150.54 150.79 146.43 136.98 122.51 103.83 82.45 60.43 39.94 22.87 .63 150.57 150.77 146.37 136.86 122.35 103.63 82.23 60.21 39.75 22.73 .64 150.59 150.75 146.30 136.74 122.18 103.42 82.01 60.00 39.56 22.58 .65 150.62 150.73 146.23 136.62 122.01 103.22 81.79 59.78 39.37 22.43 .66 150.64 150.71 146.16 136.50 121.84 103.02 81.57 59.56 39.18 22.28 .67 150.66 150.68 146.09 136.37 121.67 102.81 81.35 59.35 39.00 22.13 .68 150.68 150.66 146.01 136.25 121.50 102.61 81.12 59.13 38.81 21.99 .69 150.70 150.64 145.94 136.12 121.33 102.40 80.90 58.92 38.62 21.84 .70 150.72 150.62 145.87 136.00 121.16 102.20 80.68* 58.70 38.43 21.69 .71 150.74 150.60 145.79 135.88 120.99 101.99 80.46 58.49 38.24 21.55 .72 150.76 150.58 145.72 135.75 120.82 101.78 80.24 58.27 38.06 21.40 .73 150.78 150.55 145.64 135.63 120.64 101.58 80.02 58.06 37.87 21.26 .74 150.80 150.53 145.57 135.50 120.47 101.38 79.80 57.84 37.69 21.11 .75 150.81 150.50 145.49 135.38 120.30 101.17 79.58 57.63 37.50 20.97 .76 150.83 150.47 145.41 135.25 120.13 100.96 79.36 57.42 37.31 20.83 .77 150.85 150.45 145.34 135.12 119.95 100.75 79.14 57.20 37.13 20.69 .78 150.86 150.42 145.26 135.00 119.78 100.55 78.91 56.99 36.94 20.55 .79 150.88 150.40 145.19 134.87 119.60 100.34 78.69 56.77 36.76 20.41 .80 150.90 150.37 145.11 134.74 119.43 100.13 78.47 56.56 36.57 20.27 .81 150.91 150.34 145.03 134.61 119.25 99.92 78.25 56.35 36.39 20.13 .82 150.93 150.31 144.95 134.48 119.08 99.71 78.03 56.14 36.21 19.99 .83 150.94 150.28 144.88 134.35 118.90 99.51 77.80 55.92 36.02 19.86 .84 150.95 150.25 144.80 134.22 118.73 99.30 77.58 55.71 35.84 19.72 .85 150.97 150.22 144.72 134.09 118.55 99.09 77.36 55.50 35.66 19.58 .86 150.98 150.19 144.64 133.96 118.37 98.88 77.14 55.29 35.48 19.44 .87 151.00 150.15 144.56 133.82 118.19 98.67 76.92 55.08 35.30 19.30 .88 151.01 150.12 144.47 133.69 118.02 98.46 76.69 54.86 35.11 19.17 .89 151.02 150.09 144.39 133.55 117.84 98.25 76.47 54.65 34.93 19.03 .90 151.04 150.06 144.31 133.42 117.66 98.04 76.25 54.44 34.75 18.89 .91 151.05 150.03 144.23 133.28 117.48 9783 76.03 54.23 34.57 18.76 .92 151.06 150.00 144.14 133.15 117.30 97.62 75.81 54.02 34.39 18.62 .93 151.07 149.96 144.06 133.01 117.12 97.40 75.59 53.81 34.21 18.49 .94 151.08 149.93 143.97 132.88 116.94 97.19 75.37 53.60 34.04 18.35 -.95 151.09 149.89 143.89 132.74 116.76 96.98 75.15 53.39 33.86 18.22 .96 151.10 149.86 143.80 132.60 116.58 96.77 74.93 53.18 33.68 18.09 .97 151.11 149.82 143.71 132.46 116.40 96.56 74.71 52.97 33.51 17.96 .98 151.12 149.79 143.63 132.33 116.21 96.34 74.48 52.76 33.33 17.82 .99 151.13 149.75 143.54 132.19 116.03 96.13 74.26 52.55 33.15 17.69 1.00 151.14 149.71 143.45 132.05 115.85 95.92 74.04 52.34 32.97 17.56 235 TABLE VI'. ARGUMENT 1. >«. Equation = 76". — 73".563 sin. x— 9".993 sin. 2x — 1".071 sin. 3* — 0".104 sin. 4x — 0".008 sin. 5*. Period, 27.55455246 days. Days. 1O 11 13 13 14 15 16 17 18 Days. .00 17.56 7.07 1.70 1.07 4.46 li.oi 19.91 30.46 42.11 .01 17.43 6.99 1.67 1.09 4.51 11.09 20.01 30.57 42.23 .02 . 17.30 6.91 1.64 1.10 4.56 11.17 20.11 30.68 42.35 .03 17.17 6.84 1.62 1.12 4.62 11.25 20.21 30.80 42.47 .04 17.04 6.76 1.59 1.13 4.67 11.33 20.31 30.91 42.59 .05 16.91 6.68 1.56 1.15 4.72 11.41 20.41 31.02 42.71 .06 16.78 6.61 1.53 1.17 4.77 11.49 20.50 31.14 42.84 .07 16.66 6.53 1.51 1.19 4.83 11.57 20.60 31.25 42.96 .08 16.53 6.46 1.48 1.20 4.88 11.65 20.70 31.37 43.08 .09 16.41 6.38 1.46 1.22 4.94 11.73 20.80 31.48 43.20 .10 16.28 6.31 1.43 1.24 4.99 11.81 20.90 31.59 43.32 .11 16.16 6.24 1.41 1.26 5.04 11.89 21.00 31.70 43.44 .12 16.03 6.16 1.38 1.28 5.10 11.97 21.10 31.81 43.56 .13 15.91 6.09 1.36 1.30 5.15 12.06 21.20 31.93 43.68 .14 15.78 6.01 1.33 1.32 5.21 12.14 21.30 32.04 43.80 .15 15.66 5.94 1.31 1.34 5.26 12.22 21.40 32.15 43.92 .16 15.54 5.87 1.29 1.36 5.32 12.30 21.51 32.27 44.05 .17 15.42 5.80 1.27 1.38 5.37 12.38 21.61 32.38 44.17 .18 15.29 5.73 1.25 1.41 5.43 12.47 21.71 32.50 44.29 .19 15.17 5.66 1.23 1.43 5.48 12.55 21.81 32.61 44.41 .20 15.05 5.59 1.21 1.45 5.54 12.63 21.91 32.72 44.53 .21 14.93 5.52 1.19 1.47 5.60 12.71 22.01 32.83 44.65 .22 14.81 5.45 1.17 1.50 5.66 12.80 22.11 32.94 44.77 .23 14.69 5.39 1.16 1.52 5.71 12.88 22.21 33.06 44.89 .24 14.57 5.32 1.14 1.55 5.77 12.97 22.32 33.17 45.02 .25 14.45 5.25 1.12 1.57 5.83 13.05 22.42 33.29 45.14 .26 14.33 5.19 1.10 1.60 5.89 13.13 22.52 33.40 45.26 .27 14.22 5.12 1.09 1.62 5.95 13.22 22.63 33.52 45.39 .28 14.10 5.06 1.07 1.65 6.01 13.30 22.73 33.63 45.51 .29 13.99 4.99 1.06 1.67 6.07 13.39 22.83 33.75 45.63 .30 13.87 4.93 1.04 1.70 6.13 13.47 22.93 33.86 45.75 .31 13.76 4.87 1.03 1.73 6.19 13.56 23.03 33.98 45.87 .32 13.64 4.81 1.01 1.76 6.25 13.64 23.14 34.09 45.99 .33 13.53 4.74 1.00 1.78 6.32 13.73 23.24 34.21 46.12 .34 13.41 4.68 0.98 1.81 6.38 13.81 23.34 34.32 46.24 .35 13.30 4.62 0.97 1.84 6.44 13.90 23.45 34.44 46.36 .36 13.19 4.56 0.96 1.87 6.50 13.99 23.55 34.56 46.49 .37 13.08 4.50 0.95 1.90 6.56 14.07 23.66 34.67 46.61 .38 12.97 4.44 0.93 1.93 6.63 14.16 23.76 34.79 46.74 .39 12.86 4.38 0.92 1.96 6.69 14.24 23.87 34.90 46.86 .40 12.75 4.32 0.91 1.99 6.75 14.33 23.97 35.02 46.98 .41 12.64 4.26 0.90 2.02 6.81 14.42 24.07 35.14 47.10 .42 12.53 4.20 0.89 2.05 6.88 14.51 24.18 35.25 47.22 .43 12.42 4.15 0.88 2.09 6.94 14.59 24.28 35.37 47.35 .44 12.31 4.09 0.87 2.12 7.01 14.68 24.39 35.48 47.47 .45 12.20 4.03 0.86 2.15 7.07 14.77 24.49 35.60 47.53 .46 12.09 3.97 0.85 2.18 7.13 14.86 24.60 35.72 47.72 .47 11.99 3.92 0.85 2.22 7.20 14.95 24.70 35.83 47.84 .48 11.88 3.86 0.84 2.25 7.26 15.03 24.81 35.95 47.97 .49 11.78 3.81 0.84 2.29 7.33 15.12 24.91 36.06 48.09 .50 11.67 3.75 0.83 2.32 7.39 15.21 25.02 36.18 48.21 TABLE VI". ARGUMENT 1. Equation = 76". — 73".563 sin. x — 9".993 sin. 2a: — 1".07 1 sin. 3x — 0". 104 sin. 4* — 0".008 sin. 5x. Period, 27.55455246 days. Days. 1O 11 12 13 14 15 16 17 IS Days. .50 11.67 3.75 0.83 2.32 7.39 15.21 25.02 36.18 48.21 .51 11.57 3.70 0.83 2.35 7.46 15.30 25.13 36.30 48.33 .52 11.46 3.65 0.82 2.39 7.52 15.39 25.23 36.42 48.46 .53 11.36 3.59 0.82 2.42 7.59 15.48 25.34 36.53 48.58 .54 11.25 3.54 0.81 2.46 7.65 15.57 25.44 36.65 48.71 .55 11.15 3.49 0.81 2.49 7.72 15.66 25.55 36.76 48.83 .56 11.05 3.44 0.81 2.53 7.79 15.75 25.66 36.88 48.95 .57 10.95 3.39 0.81 2.56 7.86 15.84 25.76 37.00 49.08 .58 10.85 3.35 0.80 2.60 7.92 15.93 25.87 37.11 49.20 .59 10.75 3.30 0.80 2.63 7.99 16.02 25.97 37.23 49.33 .60 10.65 3.25 0.80 2.67 8.06 16.11 26.08 37.35 49.45 .61 10.55 3.20 0.80 2.71 8.13 16.20 26.19 37.47 49.57 .62 10.45 3.15 0.80 2.75 8.20 16.29 26.30 37.59 49.70 .63 10.36 3.11 0.80 2.78 8.27 16.39 26.40 37.71 49.82 .64 10.26 3.06 0.79 2.82 8.34 16.48 26.51 37.82 49.95 .65 10.16 3.01 0.79 2.86 8.41 16.57 26.62 37.94 50.07 .66 10.06 2.97 0.79 2.90 8.48 16.66 26.78 38.06 50.19 .67 9.97 2.92 0.80 2.94 8.55 16.76 26.84 38.17 50.32 .68 9.87 2.88 0.80 2.99 8.62 16.85 26.94 38.29 50.44 .69 9.78 2.83 0.80 3.03 8.69 16.95 27.05 38.41 50.57 .70 9.68 2.79 0.80 3.07 8.76 17.04 27.16 38.53 50.69 .71 9.59 2.75 0.80 3.11 8.83 17.13 27.27 38.65 50.81 .72 9.49 2.71 0.81 3.15 8.90 17.23 27.38 38.77 50.94 .73 9.40 2.66 0.81 3.20 8.98 17.32 27.48 38.89 51.06 .74 9.30 2.62 0.82 3.24 9.05 17.42 27.59 39.00 51.19 .75 9.21 2.58 0.82 3.28 9.12 17.51 27.70 39.12 51.31 .76 9.12 2.54 0.83 3.32 9.19 17.60 27.81 39.24 51.44 .77 9.03 2.50 0.83 3.37 9.27 17.70 27.92 39.35 51.56 .78 8.94 2.46 0.84 3.41 9.34 17.79 28.03 39.47 51.69 .79 8.85 2.42 0.84 3.46 9.42 17.89 28.14 39.59 51.81 .80 8.76 2.38 0.85 3.50 9.49 17.98 28.25 39.71 51.94 .81 8.67 2.34 0.8G 3.55 9.56 18.08 28.3(! 39.83 52.06 .82 8.58 2.30 0.87 3.59 9.64 18.17 28.47 39.95 52.19 .83 8.49 2.27 0.87 3.64 9.71 18.27 28.58 40.07 52.31 .84 8.40 2.23 0.88 3.68 9.79 18.36 28.69 40.19 52.44 .85 8.31 2.19 0.89 3.73 9.86 18.46 28.80 40.31 52.56 .86 8.22 2.15 0.90 3.78 9.94 18.56 28.91 40.43 52.69 .87 8.14 2.12 0.91 3.82 10.01 18.65 29.02 40.55 52.82 .88 8.05 2.08 0.92 3.87 10.09 18.75 29.13 40.67 52.94 .89 7.97 2.05 0.93 3.91 10.16 18.84 29.24 40.79 53.07 .90 7.88 2.01 0.94 3.96 10.24 18.94 29.35 40.91 53.19 .91 7.80 1.98 0.95 4.01 10.32 19.04 29.46 41.03 53.31 .92 7.72 1.95 0.96 4.06 10.39 19.14 29.57 41.15 53.44 .93 7.63 1.91 0.98 4.11 10.47 19.23 29.68 41.27 53.56 .94 7.55 1.88 0.99 4.16 10.54 19.33 29.79 41.39 53.69 .95 7.47 1.85 1.00 4.21 10.62 19.42 29.90 41.51 53.81 .96 7.39 1.82 1.01 4.26 10.70 19.52 30.01 41.63 53.94 .97 7.31 1.79 1.03 4.31 10.78 19.62 30.13 41.75 54.07 .98 7.23 1.76 1.04 4.36 10.85 19.71 30.24 41.87 54.19 .99 7.15 1.73 1.06 4.41 10.93 19.81 30.35 41.99 54.32 1.00 7.07 1.70 1.07 4.46 11.01 19.91 30.46 42.11 54.44 - 237 TABLE VI". ARGUMENT 1. Equation = 76". — 73".563 sin. x — 9' .993 sin. 2* — 1".07 1 sin. 3* — 0". 104 sin. 4r — 0".008 sin. 5x. Period, 27.55455246 days. Days. 19 30 31 33 33 34 35 36 37 Days. .00 54.44 67.15 80.01 92.79 105.30 117.25 128.27 137.87 145.39 .01 54.57 67.28 80.14 92.92 105.42 117.37 128.37 137.96 145.45 .02 S4.6& 67.41 80.27 93.05 105.54 1 17.48 128.47 138.04 145.51 .03 54.82 67.54 80.40 93.17 105.67 117.60 128.58 138.13 145.57 .04 54.94 67.67 80.52 93.30 105.79 117.71 128.68 138.21 145.63 .05 55.07 67.80 80.65 93.42 105.92 117.83 128.78 138.30 145.70 .06 55.20 67.92 80.78 93.55 106.04 117.95 128.89 138.39 145.76 .07 55.32 68.05 80.90 93.68 106.16 118.05 128.99 138.47 145.82 .08 55.45 68.18 81.03 93.80 106.29 118.17 129.10 138.56 145.88 .09 55.57 68.31 81.16 93.93 106.41 118.28 129.20 138.64 145.94 .10 55.70 68.44 81.29 94.06 106.53 118.40 129.30 138.73 146.00 .11 55.83 68.57 81.42 94.19 106.65 118.51 129.40 138.81 146.06 .12 55.95 68.70 81.55 94.32 106.77 118.63 129.50 138.89 146.12 .13 56.08 68.83 81.68 94.44 106.89 118.74 129.60 138.98 146.18 .14 56.20 68.95 81.80 94.57 107.02 118.86 129.71 139.06 146.23 .15 56.33 69.08 81.93 94.69 107.14 118.97 129.81 139.15 146.29 .16 56.46 69.21 82.06 94.82 107.26 119.08 129.91 139.23 146.35 .17 56.58 69.33 82.18 94.95 107.39 119.20 130.02 139.31 146.40 .18 56.71 69.46 82.31 95.07 107.51 119.31 130.12 139.40 146.46 .19 56.83 69.59 82.44 95.20 107.63 119.43 130.22 139.48 146.52 .20 56.96 69.72 82.57 95.33 107.75 119.54 130.32 139.56 146.58 .21 57.09 69.85 82.70 95.46 107.87 119.65 130.42 139.64 146.61 .22 57.22 69.98 82.83 95.58 107.99 119.76 130.52 139.72 146.69 .23 57.34 70.11 82.96 95.71 108.11 119.88 130.62 139.80 146.75 .24 57.47 70.23 83.09 95.83 108.23 119.99 130.72 139.89 146.80 .25 57.59 70.36 83.22 95.96 108.35 120.11 130.82 139.97 14686 .26 57.72 70.49 83.34 96.09 108.48 120.22 130.92 140.05 146.91 .27 57.85 70.61 83.47 96.21 108.60 120.34 131.02 140.14 146.97 .28 57.97 70.74 83.60 96.34 108.72 120.45 131.12 140.22 147.02 .29 58.10 70.87 88.73 96.46 108.84 120.56 131.22 140.30 147.08 .30 58.23 71.00 83.86 96.59 108.96 120.67 131.32 140.38 147.13 .31 58.36 71.13 83.99 96.72 109.08 120.78 131.42 140.46 147. 18 .32 58.48 71.26 84.12 96.85 109.20 120.89 131 52 140.54 147.23 .33 58.61 71.39 84.25 96.97 109.32 121.00 131.62 140.62 147.28 .34 58.73 71.52 84.37 97.10 109.44 121.12 131.72 1 10.70 147.34 .35 58.86 71.65 84.50 97.22 109.56 121.23 131.82 140.78 147.39 .36 58.99 71.77 84.63 97.34 109.68 121.34 131.91 140.85 147.45 .37 59.11 71.90 84.75 97.46 109.80 121.46 132.01 140.93 147.50 .38 59.24 72.03 84.88 97.59 109.92 121.57 132.11 111.01 117.55 .39 59.36 72.16 85.01 97.71 • 110.04 121.6N 132.21 141.09 147.60 .40 59.49 72.29 85.14 97.84 110.10 121.79 132.31 141.17 147.65 .41 59.62 72.42 85.27 97.97 110.28 121.90 132.41 141.25 147.70 .42 59.75 72.55 85.40 98.09 110.40 122.01 188.51 141.32 147.75 At 59.87 72.68 85.53 98.29 110.52 122.12 132.60 141.40 147.80 .11 60.00 72.80 85.65 98.34 110.64 122.23 132.70 141.47 147.85 .45 60.12 72.93 85.78 98.47 110.76 122.35 132.80 141.55 147.90 .If, 60.-^:> 73.06 88-91 98.60 1 IO.HN 122.46 183.89 141.63 147.94 .47 60.3s 73.18 86.03 !>s.72 111.00 122.57 132.99 147.70 147.99 .48 60.50 73.31 86.16 . 98.85 111.12 122.68 133.0!) 141.78 148.04 .49 60.<;:f 7:i.44 86.29 98.97 111.24 122.79 133.18 141.85 148.09 .50 60.76 73.57 86.42 99.10 111.36 132 JO 133.28 141.93 148.14 238 TABLE VI". ARGUMENT 1. Equation = 76". — 73".563 sin. x— 9".993 sin. 2x — 1".071 sin. 3x — 0".104 sin. 4x — 0".008 sin. 5x. Period, 27.55455246 days. Days. 19 2O 31 33 29 34 25 26 37 Days. .50 60.76 73.57 86.42 99.10 111.36 122.90 133.28 141.93 148.14 .51 60.89 73.70 86.55 99.23 111.48 123.01 133.38 142.00 148.19 .52 61.02 73.83 86.68 99.35 111.60 123.12 133.47 142.08 148.23 .53 61.15 73.96 86.81 99.48 111.72 123.23 133.57 142.15 148.28 .54 61.27 74.09 86.93 99.60 111.84 123.34 133.66 142.23 148.32 .55 61.40 74.22 87.06 99.73 111.96 123.45 133.76 142.30 148.37 .56 61.53 74.34 87.19 99.85 112.07 123.56 133.86 142.37 148.41 .57 61.65 74.47 87.31 99.98 112.19 123.67 133.95 142.45 148.46 .58 61.78 74.60 87.44 100.10 112.31 123.78 134.05 142.52 148.50 .59 61.91 74.73 87.57 100.23 112.43 123.89 134.14 142.60 148.55 .60 62.04 74.86 87.70 100.35 112.55 124.00 134.24 142.67 148.59 .61 62.17 74.99 87.83 100.47 112.67 124.11 134.33 142.74 148.63 .62 62.30 75.12 87.96 100.60 112.79 124.22 134.43 142.81 148.67 .63 62.42 75.25 88.09 100.72 112.91 124.33 134.52 142.88 148.72 .64 62.55 75.38 88.21 100.85 113.03 124.44 134.62 142.96 148.76 .65 62.67 75.51 88.34 100.97 113.15 124.55 134.71 143.03 148.80 .66 62.80 75.63 88.47 101.09 113.26 124.65 134.80 143.10 148.85 .67 62.93 75.76 88.59 101.22 113.38 124.76 134.89 143.18 148.89 .68 63.05 75.89 88.72 101.34 113.50 124.87 134.99 143.25 148.93 .69 63.18 76.02 88.85 101.47 113.62 124.98 135.07 143.32 148.97 .70 63.31 76.15 88.98 101.59 113.71 125.09 135.17 143.39 149.01 .71 63.44 76.28 89.11 101.71 113.86 125.20 135.26 143.46 149.05 .72 63.57 76.41 89.24 101.84 113.98 125.31 135.35 143.53 149.09 .73 63.70 76.54 89.36 101.96 114.10 125.41 135.44 143.60 149.13 .74 63.82 76.66 89.49 102.09 114.21 125.52 135.54 143.67 149.17 .75 63.95 76.79 89.61 102.21 114.33 125.63 135.63 143.74 149.21 .76 64.08 76.92 89.74 102.33 114.45 125.73 135.72 143.80 149.25 .77 64.20 77.04 • 89.87 102.46 114.56 125.84 135.82 143.87 149.29 .78 64.33 77.17 89.99 102.58 114.68 125.94 135.91 143.94 149.33 .79 64.46 77.30 90.12 102.71 114.80 126.05 136.00 144.01 149.37 .80 64.59 77.43 90.25 102.83 114.92 126.16 136.09 144.08 149.41 .81 64.7'2 77.56 90.3H 102.95 1 15.04 1-26.-27 13 ••!.!« 144.15 149.45 .82 64.85 77.69 90.51 103.08 115.16 126.37 13627 144.22 149.48 .83 64.98 77.82 90.63 103.20 115.27 126.48 136.36 144.28 149.52 .84 65.10 77.95 90.76 103.33 115.39 126.58 136.45 144.35 149.55 .85 65.23 78.08 90.88 103.45 115.51 126.69 136.54 144.42 149.59 .86 65.36 78.20 91.01 103.57 115.62 126.80 136.63 144.48 149.63 .87 65.48 78.33 91.14 103.70 115.74 126.90 136.72 144.55 149.66 .88 65.61 78.46 91.26 103.82 115.85 127.01 136.81 144.61 149.69 .89 65.74 78.59 91.40 103.95 115.97 127.11 136.90 144.68 149.73 .90 65.87 78.72 91.52 104.07 116.09 127.22 136.99 144.75 149.76 .91 66.00 78.85 91.65 104.19 116.21 127.33 137.08 . 144.81 149.80 .92 66.13 78.98 91.78 104.31 116.32 127.43 137.17 144.88 149.83 .93 66.26 79.11 91.90 104.44 116.44 127.54 137.26 144.94 149.87 .94 66.38 79.24 92.03 104.56 116.55 127.64 137.34 145.01 149.90 .95 66.51 79.37 92.15 104.69 116.67 127.75 137.43 145.07 149.93 .96 66.64 79.49 92.28 104.81 116.79 127.85 137.52 145.13 149.96 .97 66.76 79.62 92.40 104.93 116.90 127.96 137.60 145.20 149.99 .98 66.89 79.75 92.53 105.06 117.02 128.06 137.69 145.26 150.02 .99 67.02 79.88 92.66 105.18 117.13 128.17 137.78 145.33 150.05 1.00 67.15 80.01 92.79 105.30 117.25 128.27 137.87 145.39 150.08 239 TABLE VII'. ARGUMENT 2. Equation = 11".2 — 11". 18 sin. (2« — x) — 0".304 ain. (4« — 2x). Period, 31.81193574 days. Days. O 1 a 3 4 S 6 7 8 9 Daya. .00 22.37 22.31 21.81 20.87 19.52 17.81 15.82 13.62 11. 31 9.00 .01 22.37 22.30 21.80 20.86 19.51 17.80 15.80 13.60 11.29 8.98 .02 22.37 22.30 . 21.79 20.85 19.49 17.78 15.78 13.58 11.27 8.96 .03 22.37 22.30 21.78 20.84 19.48 17.76 15.76 1355 11.24 8.93 .04 22.37 22.29 21.77 20.83 19.46 17.74 15.74 13.53 11.22 8.91 .05 22.37 22.29 21.77 20.81 19.44 17.72 15.72 13.51 11.20 8.89 .06 22.38 22.29 21.76 20.80 19.43 17.70 15.70 13.48 11.17 8.86 .07 22.38 22.29 21.75 20.79 19.41 17.68 15.68 13.46 11.15 8.84 .08 22.38 22.28 21.74 20.78 19.40 17.66 15.66 13.44 11.13 8.82 .09 22.38 22.28 21.74 20.77 19.38 17.64 15.64 13.42 11.11 8.80 .10 22.38 22.28 21.73 20.75 19.36 17.62 15.60 13.39 11.08 8.77 .11 22.38 22.27 21.72 20.74 19.35 17.61 15.59 13.37 11.06 8.75 .12 22.38 22.27 21.71 20.73 19.33 17.59 15.57 13.35 11.04 8.73 .13 22.38 22.27 21.70 20.72 19.32 17.57 15.55 13.32 11.01 8.70 .14 22.38 22.26 21.69 20.71 19.30 17.55 15.53 13.30 10.99 8.68 .15 22.38 22.26 21.69 20.69 19.28 17.53 15.50 13.28 10.96 8.66 .16 22.39 22.26 21.68 20.68 19.27 17.51 15.48 13.25 10.94 8.63 .17 22.39 22.25 21.67 20.67 19.25 17.49 15.46 13.23 10.91 8.61 .18 22.39 22.25 21.66 20.66 19.24 17.47 15.44 13.21 10.89 8.59 .19 22.39 22.25 21.66 20.65 19.22 17.45 15.42 13.19 10.87 8.57 .20 22.39 22.24 21.65 20.63 19.20 17.43 15.39 13.16 10.84 8.54 .21 22.39 22.24 21.64 20.62 19.19 17.42 15.37 13.14 10.82 8.52 .22 22.39 22.24 21.63 20.61 19.17 17.40 15.35 13.12 10.80 8.50 .23 22.39 22.23 21.62 20.59 19.16 17.38 15.33 13.09 10.77 8.48 .24 22.39 22.23 21.61 20.58 19.14 17.36 15.31 13.07 10.75 8.46 .25 22.39 22.23 21.61 20.57 19.12 17.34 15.28 13.05 10.73 8.44 .26 22.39 22.22 21.60 20.55 19.11 17.32 15.26 13.02 10.70 8.41 .27 22.39 22.22 21.59 20.54 19.09 17.30 15.24 13.00 10.68 8.39 .28 22.40 22.21 21.58 20.53 19.08 17.28 15.22 12.98 10.66 8.37 .29 22.40 22.21 21.57 20.52 19.06 17.26 15.20 12.96 10.64 8.35 .30 22.40 22.20 21.57 20.50 19.04 17.24 15.17 12.93 10.61 8.32 .31 22.40 22.20 21.56 20.49 19.03 17.23 15.15 12.91 10.59 8.30 .32 22.40 22.20 21.55 20.48 19.01 17.21 15.13 12.89 10.57 8.28 .33 22.40 22.19 21.54 20.47 19.00 17.19 15.11 12.86 10.54 8.25 .34 22.40 22.19 21.53 20.46 18.98 17.17 15.09 12.84 10.52 8.23 .35 22.40 22.18 21.52 20.44 18.96 17.15 15.07 12.82 10.50 8.21 .36 22.40 22.18 21.51 20.43 18.95 17.13 15.05 12.79 10.47 8.18 .37 22.40 22.17 21.50 20.42 18.93 17.11 15.03 12.77 10.45 8.16 .38 22.40 22.17 21.49 20.41 18.92 17.09 15.01 12.75 10.43 8.14 .39 22.40 22.16 21.49 20.40 18.90 17.07 14.99 12.73 10.41 8.12 .40 22.40 22.16 21.48 20.38 18.88 17.05 14.96 12.70 10.38 8.09 .41 22.40 22.15 21.47 20.37 18.87 17.03 14.94 12.68 10.36 8.07 .42 22.40 22.15 21.46 20.35 18.85 17.01 14.92 12.66 10.34 8.05 .43 22.40 22.15 21.45 20.34 18.83 16.99 14.90 12.63 10.31 8.03 .44 22.39 22.11 21.44 20.33 18.82 16.97 14.88 12.61 10.29 8.01 .45 22.39 22.14 21.43 20.31 18.80 16.95 14.85 12.59 10.27 7.98 .46 22.39 22.13 21.42 20.30 18.78 16.93 14.83 12.56 10.24 7.96 .47 22.39 22.18 21.41 20.28 18.77 16.91 14.81 12.54 10.22 7.94 .48 •^.:t!) 22.12 21.40 . 20.27 18.75 Ifi.W) 14.79 12.52 10.20 7.92 .49 22.39 22.12 21.40 20.26 18.73 16.87 14.77 12.50 10.18 7.90 .50 22.39 22.11 21.39 20.24 18.71 16.85 14.74 12.47 10.15 7.87 210 TABLE Vir. ARGUMENT 2. Equation = 11".2 — 11". 18 sin. (2« — x) — 0".304 sin. (4« — 2ar). Period, 31.81193574 days. Days. O 1 2 3 4 S 6 7 8 9 Days! .50 22.39 22. 11 21.39 20.24 18.71 16.85 14.74 ii 12.47 10.15 7.87 .51 22.39 22.11 21.38 20.23 18.70 1683 14.72 12.45 10.13 7.85 .52 22.39 22. 10 21.37 20.22 18.68 16.81 14.70 12.43 10.11 7.83 .53 22.39 22.10 21.36 20.20 18.66 16.79 14.68 12.40 10.08 7.81 .54 22.39 22.09 21.35 20.19 18.65 16.77 14.66 12.38 10.06 7.79 .55 22.39 22.09 21.34 20.17 18.63 16.75 14.63 12.36 10.03 7.76 .56 22.39 22.08 21.33 20.16 18.61 16.73 14.61 12.33 10.01 7.74 .57 22.39 22.08 21.32 20.14 18.60 16.71 14.59 12.31 9.98 7.72 .58 22.39 22.07 21.31 20.13 18.58 16.69 14.57 12.29 9.96 7.70 .59 22.39 22.07 21.30 20.12 18.56 16.67 14.55 12.27 9.94 7.68 .60 22.38 22.06 21.29 20.10 18.54 16.65 14.52 12.24 9.91 7.65 .61 22.38 22.06 21.28 20.09 18.53 16.63 14.50 12.22 9.89 7.63 .62 22.38 22.05 21.27 20.08 18.51 16.61 14.48 12.20 9.87 7.61 .63 22.38 22.05 21.26 20.06 18.49 16.59 14.45 12.17 9.84 7.58 .64 22.38 22.04 21.25 20.05 18.47 16.57 14.43 12.15 9.82 7.56 .65 22.38 22.04 21.24 20.03 18.45 16.55 14.41 12.13 9.80 7.54 .66 22.38 22.03 21.23 20.02 18.44 16.53 14.38 12.10 9.77 7.52 .67 22.38 22.02 21.22 20.00 18.42 16.51 14.36 12.08 9.75 7.49 .68 22.37 22.02 21.21 19.99 18.40 16.49 14.34 12.06 9.73 7.47 .69 22.37 22.01 21.20 19.98 18.38 16.47 14.32 12.04 9.71 7.45 .70 22.37 22.00 21.19 19.96 18.36 16.44 14.29 12.01 9.68 7.43 .71 22.37 22.00 21.18 19.95 18.35 16.42 14.27 11.99 9.66 7.40 .72 22.37 21.99 21.17 19.94 18.33 16.40 14.25 11.97 9.64 7.38 .73 22.37 21.99 21.16 19.92 18.31 16.38 14.23 11.94 9.61 7.36 .74 22.37 21.98 21.15 19.91 18.29 16.36 14.21 11.92 9.59 7.34 .75 22.36 21.98 21.14 19.89 18.27 16.34 14.18 11.89 9.57 7.32 .76 22.36 21.97 21.13 19.88 18.26 16.32 14.16 11.87 9.54 7.29 .77 22.36 21.96 21.12 19.86 18.24 16.30 14.14 11.85 9.52 7.27 .78 22.36 21.96 21.11 19.85 18.22 16.28 14.12 11.81 9.50 7.25 .79 22.36 21.95 21.10 19.84 18.20 16.26 14.10 11.79 9.48 7.23 .80 22.35 21.94 21.09 19.82 18.18 16.24 14.07 11.77 9.45 7.21 .81 22.35 21.94 21.08 19.81 18.17 16.22 14.05 11.75 9.43 7.18 .82 22.35 21.93 21.07 19.79 18.15 16.20 14.03 11.73 9.41 7.16 .83 22.35 21.93 21.06 19.78 18.13 16.18 14.00 11.70 9.38 7.14 .84 22.35 21.92 21.05 19.76 18.11 16.16 13.98 11.68 9.36 7.12 .85 22.34 21.91 21.04 19.75 18.09 16.14 13.96 11.66 9.34 7.10 .86 22.34 21.91 21.03 19.73 18.08 16.12 13.93 11.63 9.31 7.08 .87 22.34 21.90 21.02 19.72 18.06 16.10 13.91 11.61 9.29 7.06 .88 22.34 21.90 21.01 19.70 18.04 16.08 13.89 11.59 9.27 7.04 .89 22.34 21.89 21.00 19.69 18.02 16.06 13.87 11.57 9.25 7.02 .90 22.33 21.88 20.98 19.67 18.00 16.03 . 13.84 11.54 9.22 7.00 .91 22.33 21.87 20.97 19.66 17.99 16.01 13.82 11.52 9.20 6.97 .92 22.33 21.87 20.96 19.64 17.97 15.99 13.80 11.50 9.18 6.95 .93 22.33 21.86 20.95 19.63 17.95 15.97 13.78 11.47 9.16 6.93 .94 22.32 21.86 20.94 19.61 17.93 15.95 13.76 11.45 9.14 6.91 .95 22.32 21.85 20.93 19.60 17.91 15.93 13.73 11.43 9.11 6.89 .96 22.32 21.84 20.92 19.58 17.89 15.91 13.71 11.40 9.09 6.86 .97 22.32 21.83 20.91 19.57 17.87 15.89 13.69 11.38 9.07 6.84 .98 22.31 21.82 20.90 19.55 17.85 15.87 13.67 11.36 9.05 6.82 .99 22.31 21.81 20.89 19.54 17.83 15.85 13.65 11.34 9.03 6.80 1.00 22.31 21.81 20.87 19.52 17.81 15.82 13.62 11.31 9.00 6.78 241 TABLE VII". ARGUMENT 2. Equation = 11".2 — 11". 18 sin. (2i — x) — 0".304 sin. (4t — 2*). Period, 31.81193574 daya. Days. 1O 11 13 13 14 IS 16 17 18 19 20 Daya. .00 6\78 • 4.76 3.03 1.64 0.66 II 0.12 • 0.0' 6.35 • 1.1 2.2 3.63 .01 6.75 4.74 3.01 1.62 0.66 0.1 0.0' 0.35 1.1 2.2 3.64 .02 6.73 4.72 2.99 1.61 0.65 0.1 0.02 0.36 1.1 2.2 3.66 .03 6.71 4.70 2.98 1.60 0.64 0.1 0.02 0.36 1.12 2.2 3.67 .04 6.69 4.68 2.96 1.59 0.64 0.10 0.02 0.37 1.1 2.2 3.69 .05 6.67 4.66 2.95 1.58 0.63 0.10 0.03 0.37 1.1 2.27 3.71 .06 6.65 4.64 2.93 1.56 0.62 0.10 0.03 0.38 1.1 2.28 3.72 .07 6.63 4.62 2.91 1.55 0.62 0.09 0.03 0.39 1.1€ 2.30 3.73 .08 6.61 4.60 2.90 1.54 0.61 0.09 0.03 0.39 1.1 2.3 3.75 .09 6.59 4.58 2.88 1.53 0.60 0.09 0.03 0.40 Lie 2.32 3.77 .10 6.57 4.57 2.87 1.52 0.59 0.09 0.03 0.4 1.19 2.34 3.79 .11 6.54 4.55 2.85 1.50 0.59 0.08 0.04 0.4 1.20 2.35 3.80 .12 6.52 4.53 2.84 1.49 0.58 0.08 0.04 0.42 1.2 2.36 3.82 .13 6.50 4.51 2.82 1.48 0.57 0.08 0.04 0.42 1.22 2.37 3.83 .14 6.48 4.49 2.81 1.47 0.57 0.07 0.04 0.43 1.23 2.39 3.85 .15 6.46 4.48 2.79 1.46 0.56 0.07 0.04 0.43 1.24 2.40 3.87 .16 6.44 4.46 2.78 1.45 0.55 0.07 0.05 0.44 1.25 2.4 3.88 .17 6.42 4.44 2.76 1.44 0.55 0.06 0.05 0.45 1.26 2.43 3.90 .18 6.40 4.42 2.75 1.43 0.54 0.06 0.05 0.45 1.27 2.44 3.91 .19 6.38 4.40 2.73 1.42 0.53 0.06 0.05 0.46 1.28 2.45 3.93 .20 6.36 4.39 2.72 1.41 0.52 0.06 0.05 0.47 1.29 2.47 3.95 .21 6.33 4.37 2.70 1.40 0.52 0.05 0.06 0.47 1.30 2.48 3.96 .22 6.31 4.35 2.69 1.39 0.51 0.05 0.06 0.48 1.31 2.49 3.98 .23 6.29 4.33 2.67 1.38 0.50 0.05 0.06 0.48 1.32 2.50 4.00 .24 6.27 4.31 2.66 1.37 0.50 0.05 0.06 0.49 1.33 2.52 4.01 .25 6.25 4.30 2.64 1.36 0.49 0.05 0.06 0.50 1.34 2.54 4.03 .26 6.23 4.28 2.63 1.35 0.48 0.04 0.07 0.50 1.35 2.55 4.05 .27 6.21 4.26 2.61 1.34 0.48 0.04 0.07 0.51 1.36 2.56 4.06 .28 6.19 4.24 2.59 1.33 0.47 0.04 0.07 0.51 1.37 2.57 4.08 .29 6.17 4.22 2.58 1.32 0.46 0.04 0.07 0.52 1.38 2.58 4.10 .30 6.15 4.21 2.57 1.31 0.45 0.04 0.07 0.53 1.39 2.60 4.12 .31 6.13 4.19 2.55 1.29 0.44 0.04 0.08 0.53 1.40 2.61 4.13 .32 6.11 4.17 2.54 1.28 0.43 0.04 0.08 0.54 1.41 2.62 4.15 .33 6.09 4.15 2.52 1.27 0.43 0.04 0.08 0.55 1.42 2.64 4.16 .34 6.07 4.13 2.51 1.26 0.42 0.04 0.08 0.55 1.43 2.65 4.18 .35 6.05 4.12 2.49 1.25 0.41 0.03 0.09 0.56 1.44 2.66 4.20 .36 6.03 4.10 2.48 1.24 0.41 0.03 0.09 0.57 1.45 2.68 4.21 .37 6.01 4.08 2.47 1.23 0.40 0.03 0.09 0.57 1.46 2.69 4.23 .38 5.99 4.06 2.45 1.22 0.40 0.03 0.10 0.58 1.47 2.71 4.24 .39 5.97 4.04 2.44 1.21 0.39 0.03 0.10 0.59 1.48 2.72 4.26 .40 5.95 4.03 2.43 1.20 0.39 0.03 0.10 0.60 1.50 2.74 4.28 .41 5.92 4.01 2.41 1.19 0.38 0.03 0.11 0.60 1.51 2.75 4.29 .42 5.90 3.99 2.40 1.18 0.38 0.03 0.11 0.61 1.52 2.77 4.31 .43 5.88 3.97 2.38 1.17 0.37 0.03 0.11 0.62 1.53 2.78 4.32 .44 5.86 3.95 2.37 1.16 0.37 0.02 0.11 0.63 1.54 2.79 4.34 .45 5.84 3.91 2.36 1.15 0.36 0.02 0.12 0.64 1.55 2.81 4.36 .46 5.82 3.92 2.34 1.14 0.36 0.02 0.12 0.64 1.66 2.82 4.37 .47 5.80 3.90 2.33 1.13 0.35 0.02 0.12 0.65 1.57 2.84 4.39 .48 f>.7N 3.88 2.31 1.12 0.35 002 0.13 0.66 1.58 2.85 4.41 .49 5.76 3.86 2.30 1.11 0.34 0.02 0.13 0.67 1.59 2.86 4.43 .50 5.74 3.85 2.29 1.10 0.34 0.01 0.13 0.68 1.61 2.88 4.45 242 TABLE VII". ARGUMENT 2. Equation = 11".2 — 1 1".18 sin. (2t — x) — 0".304 sin. (4< — 2r). Period, 31.81193574 days. ' Days. 1O 11 13 13 14 15 16 17 18 19 2O DilVS. II II il II ii II II II II II I .50 5.74 3.85 2.29 1.10 0.34 0.01 0.13 0.68 1.61 2.88 4.45 .51 5.72 3.83 2.27 1.09 0.33 0.01 0.13 0.68 1.62 2.89 4.46 .52 5.70 3.81 2.26 1.08 0.33 0.01 0.13 0.69 1.63 2.91 4.48 .53 5.68 3.79 2.24 1.07 0.32 0.01 0.14 0.70 1.64 2.92 4.50 .54 5.66 3.78 2.23 1.06 0.32 0.01 0.14 0.70 1.65 2.94 4.51 .55 5.64 3.76 2.22 1.05 0.31 0.01 0.15 0.71 1.66 2.95 4.53 .56 5.62 3.74 2.20 1.04 0.31 0.01 0.15 0.72 1.67 2.97 4.55 .57 5.60 3.73 2.19 1.03 0.30 0.01 0.15 0.72 1.68 2.98 4.56 .58 5.58 3.71 2.17 1.02 0.30 0.01 0.16 0.73 1.69 3.00 4.58 .59 5.56 3.69 2.16 1.01 0.29 0.01 0.16 0.74 1.70 3.01 4.60 .60 5.54 3.68 2.15 1.01 0.29 0.01 0.17 0.75 1.72 3.03 4.62 .61 5.52 3.66 2.13 1.00 0.28 0.01 0.17 0.75 1.73 3.04 4.63 .62 5.50 3.64 2.12 0.99 0.28 0.01 0.17 0.76 1.74 3.06 4.65 .63 5.48 3.62 2.11 0.98 0.27 001 0.18 0.77 1.75 3.07 4.67 .64 5.46 3.61 2.09 0.97 0.27 0.01 0.18 0.78 1.76 3.09 4.68 .65 5.44 3.59 2.08 0.96 0.26 0.01 0.19 0.79 1.78 3.10 4.70 .66 5.42 3.57 2.06 0.95 0.26 0.00 0.19 0.79 1.79 3.12 4.71 .67 5.40 3.56 2.05 0.94 0.25 0.00 0.19 0.80 1.80 3.13 4.73 .68 5.38 3.54 2.04 0.93 0.25 0.00 0.20 0.81 1.81 3.15 4.75 .69 5.36 3.52 2.03 0.92 0.24 0.00 0.20 0.82 1.82 3.16 4.77 .70 5.34 3.51 2.02 0.91 0.24 0.00 - 0.21 0.83 1.84 3.18 4.79 .71 5.32 3.49 2.00 0.90 0.23 0.00 0.21 0.83 1.85 3.19 4.80 .72 5.30 3.47 1.99 0.89 0.23 0.00 0.21 . 0.84 1.86 3.21 4.82 .73 5.28 3.46 1.98 0.88 0.22 0.00 0.22 0.85 1.87 3.22 4.84 .74 5.26 3.44 1.96 0.87 0.22 0.00 0.22 0.86 1.88 3.24 4.86 .75 5.24 3.43 1.95 0.87 0.21 0.00 0.23 0.87 1.90 3.25 4.88 .76 5.22 3.41 1.93 0.86 0.21 0.00 0.23 0.88 1.91 3.27 4.89 .77 5.20 3.39 1.92 0.85 0.20 0.00 0.23 0.89 1.92 3.28 4.91 .78 5.18 3.38 1.91 0.84 0.20 0.00 0.24 0.90 1.93 3.30 4.93 .79 5.16 3.36 1.90 0.83 0.19 0.00 0.24 0.91 1.94 3.31 4.95 .80 5.15 3.35 1.89 0.83 0.19 0.00 0.25 0.92 1.96 3.33 4.97 .81 5.13 3.33 1.87 0.82 0.18 0.00 0.25 0.92 1.97 3.34 4.98 .82 5.11 3.31 1.86 0.81 0.18 0.00 0.26 0.93 1.98 3.36 5.00 .83 5.09 3.29 1.85 0.80 0.17 0.00 0.26 0.94 1.99 3.37 5.02 .84 5.07 3.28 1.83 0.79 0.17 0.01 0.27 0.95 2.00 3.39 5.03 .85 5.05 3.26 1.82 0.78 0.17 0.01 0.27 0.96 ' 2.02 3.40 5.05 .86 5.03 3.24 1.81 0.77 0.16 0.01 0.28 0.96 2.03 3.42 5.07 .87 5.01 3.23 1.79 0.76 0.16 0.01 0.28 0.97 2.04 3.43 5.08 .88 4.99 3.21 1.78 0.75 0.15 0.01 0.29 0.98 2.05 3.45 5.10 .89 4.97 3.19 1.77 0.74 0.15 0.01 0.29 0.99 2.06 3.46 5.12 .90 4.95 3.18 1.76 0.74 0.15 0.01 0.30 1.00 2.08 3.48 5.14 .91 4.93 3.16 1.74 0.73 0.14 0.01 0.30 1.01 2.09 3.49 5.15 .92 4.91 3.15 1.73 0.72 0.14 0.01 0.31 1.02 2.10 3.51 5.17 .93 4.89 3.13 1.72 0.71 0.14 0.01 0.31 1.03 2.12 3.52 5.19 .94 4.87 3.12 1.71 0.70 0.13 0.01 0.32 1.04 2.13 3.54 5.21 .95 4.85 3.10 1.70 0.70 0.13 0.01 0.32 1.05 2.14 3.55 5.23 .96 4.83 3.09 1.68 0.69 0.13 0.02 0.33 1.06 2.16 3.57 5.24 .97 4.81 3.07 1.67 0.68 0.12 0.02 0.33 1.07 2.17 3.58 5.26 .98 4.79 3.06 1.66 0.67 0.12 0.02 0.34 1.08 2.18 3.60 5.28 .99 4.77 3.04 1.65 0.66 0.12 0.02 0.34 1.09 2.19 3.61 5.30 1.00 4.76 3.03 1.64 0.66 0.12 0.02 0.35 1.10 2.21 3.63 5.32 243 TABLE VII". ARGUMENT 2. Equation = 11".2 — ll'MS sin. (2« — *) — 0".304 sin. (4t — 2*). Period, 31.81193574 days. Days. 21 33 33 34 25 26 27 28 29 30 31 Day.. .00 5.32 7".21 9.22 li'.so 13.37 15.38 17.25 il 18.9 20.3 21.39 22.10 .01 5.33 7.22 9.24 11.32 13.39 15.40 17.27 18.93 20.33 21.40 22.11 .02 5.35 7.24 9.26 11.34 13.41 15.42 17.29 18.94 20.34 21.4 22.11 .03 5.37 7.26 9.28 11.36 13.43 15.44 17.30 18.96 20.35 21.42 22.12 .04 5.39 7.28 9.30 11.38 13.45 15.46 17.32 18.97 20.36 21.43 22.12 .05 5.41 7.30 9.32 11.40 13.47 15.48 17.34 18.98 20.37 21.44 22.13 .06 5.42 7.32 9.34 11.42 13.49 1550 17.36 19.00 20.39 21.45 22.13 .07 5.44 7.34 9.36 11.44 13.51 15.52 17.37 19.01 20.40 21.46 22.13 .08 5.46 7.36 9.38 11.46 13.53 15.54 17.39 19.03 20.4 21.47 22.14 .09 5.48 7.38 9.40 11.48 13.55 15.56 17.41 19.04 20.42 21.48 22.14 .10 5.50 7.40 9.43 11.51 13.58 15.57 17.42 19.05 20.43 21.48 22.14 .11 5.51 7.42 9.45 11.53 13.60 15.59 17.44 19.07 20.45 21.49 22.15 .12 5.53 7.44 9.47 11.55 13.62 15.61 17.46 19.09 20.46 21.50 22.15 .13 5.55 7.46 9.49 11.57 13.64 15.63 17.48 19.10 20.47 21.51 22.16 .14 5.57 7.48 9.51 11.59 13.66 15.65 17.50 19.12 20.48 21.52 22.16 .15 5.59 7.50 9.53 11.61 13.68 15.67 17.51 19.13 20.49 21.52 22.17 .16 5.60 7.52 9.55 11.63 13.70 15.69 17.53 19.15 20.51 21.53 22.17 .17 5.62 7.54 9.57 11.65 13.72 15.71 17.55 19.17 20.52 21.54 22.17 .18 5.64 7.56 9.59 11.67 13.74 15.73 17.57 19.18 20.53 21.55 22.18 .19 5.66 7.58 9.61 11.69 13.76 15.75 17.59 19.20 20.54 21.5G 22.18 .20 5.68 7.60 9.63 11.71 13.78 15.77 17.60 19.21 20.55 21.56 22.19 .21 '5.69 7.62 9.65 11.73 13.80 15.79 17.62 19.23 20.57 21.57 22.19 .22 5.71 7.64 9.67 11.75 13.82 15.81 17.64 19.24 20.58 21.58 22.20 .23 5.73 7.66 9.69 11.77 13.84 15.83 17.66 19.26 20.59 21.59 22.20 .24 5.75 7.68 9.71 11.79 13.86 15.85 17.67 19.27 20.60 21.60 22.20 .25 5.77 7.70 9.73 11.81 13.88 15.87 17.69 19.29 20.61 21.60 22.21 .26 5.79 7.72 9.75 11.83 13.90 15.89 17.71 19.30 20.63 21.61 22.21 .27 5.81 7.74 9.77 11.85 13.92 15.91 17.72 19.32 20.64 21.62 22.22 .28 5.83 7.76 9.79 11.87 13.94 15.93 17.74 19.33 20.65 21.63 22.22 .29 5.85 7.78 9.81 11.89 13.96 15.95 17.76 19.35 20.66 21.64 22.22 .30 5.87 7.80 9.84 11.92 13.99 15.96 17.77 19.36 20.67 21.64 22.23 .31 5.88 7.82 9.86 11.94 14.01 15.98 17.79 19.38 20.69 21.65 22.23 .32 5.90 7.84 9.88 11.96 14.03 16.00 17.81 19.39 20.70 21.66 22.23 .33 5.92 7.86 9.90 11.98- 14.05 16.02 17.83 19.41 20.71 21.67 22.24 .34 5.94 7.88 9.92 12.00 14.07 16.04 17.84 19.42 20.72 21.68 22.24 .35 5.96 7.90 9.94 12.02 14.09 16.06 17.86 19.43 20.73 21.68 22.24 .36 5.97 7.92 9.96 12.04 14.11 16.08 17.88 19.45 20.75 21.69 22.25 .37 5.99 7.94 9.98 12.06 14.13 16.10 17.89 19.47 20.76 21.70 22.25 .38 6.01 7.96 10.00 12.08 14.15 16.12 17.91 19.48 20.77 21.71 22.25 .39 6.03 7.98 10.02 12.10 14.17 16.14 17.93 19.49 20.78 21.72 22.25 .40 6.05 8.00 10.05 12.13 14.19 16.15 17.94 19.50 20.79 21.72 22.26 .41 6.06 8.02 10.07 12.15 14.21 16.17 17.96 19.52 20.81 21.73 22.26 .42 6.08 8.04 10.09 12.17 14.23 16.19 17.98 19.53 20.82 21.74 22.26 .43 6.10 8.06 10.11 12.19 14.25 16.21 18.00 19.55 20.83 21.75 22.27 .44 6.12 8.08 10.13 12.21 14.27 16.23 18.01 19.56 20.84 21.75 22.27 .45 6.14 8.10 10.15 12.23 14.29 16.24 18.03 19.58 20.85 21.76 22.28 .46 6.16 8.12 10.17 12.25 14.31 16.26 18.05 19.59 20.86 21.77 22.28 .47 6.18 8.14 10.19 12.27 14.33 16.28 18.06 19.61 20.87 21.77 22.28 .48 6.20 8.16 10.21 12.29 14.35 i<;.:to 18.08 19.62 20.88 21.78 22.29 .49 6.22 8.18 10.23 12.31 14.37 16.32 18.10 19.64 20.89 21.79 22.29 .50 6.24 8.20 10.25 12.34 14.39 16.33 18.11 !!).<;:• 20.90 21.79 22.30 -,'H TABLE VII". ARGUMENT 2. Equation = 11".2 — 11".18 sin. (2* — *) — 0".304 sin. (4« — 2*). Period, 31.81193574 days. Days. 21 22 23 24 25 26 27 28 29 30 31 Days. .50 6.24 8.20 10.25 12.34 14.39 16.33 18.11 19.63 20.90 21.79 22.30 .51 6.25 8.22 10.27 12.36 14.41 16.35 18.13 19.67 20.91 21.80 22.30 .52 6.27 8.24 10.29 12.38 14.43 16.37 18.15 19.68 20.92 21.81 22.30 .53 6.29 8.26 10.31 12.40 14.45 16.39 18.16 19.70 20.93 21.81 22.30 .54 6.31 8.28 10.33 12.42 14.47 16.41 18.18 19.71 20.94 21.82 22.30 .55 6.33 8.30 10.35 12.44 14.49 16.43 18.19 19.72 20.95 21.83 22.31 .56 6.35 8.32 10.37 12.46 14.51 16.45 18.21 19.74 20.96 21.83 22.31 .57 6.37 8.34 10.39 12.48 14.53 16.47 18.23 19.75 20.97 21.84 22.31 .58 6.39 8.36 10.41 12.50 14.55 16.49 18.24 19.77 20.98 21.85 22.31 .59 6.41 8.38 10.43 12.52 14.57 16.51 18.26 19.78 20.99 21.86 22.31 .60 6.43 8.40 10.46 12.55 14.59 16.52 18.27 19.79 21.00 21.86 22.32 .61 6.44 8.42 10.48 12.57 14.61 16.54 18.29 19.81 21.01 21.87 22.32 .62 6.46 8.44 10.50 12.59 14.63 16.56 18.31 19.82 21.02 21.88 22.32 .63 6.48 8.46 10.52 12.61 14.65 16.58 18.33 19.83 21.03 21.88 22.33 .64 6.50 8.48 10.54 12.63 14.67 16.60 18.34 19.85 21.04 21.89 22.33 .65 6.52 8.50 10.56 12.65 14.69 1661 18.36 19.86 21.05 21.90 22.33 .66 6.54 8.52 10.58 12.67 14.71 16.63 18.37 19.87 21.06 21.90 22.34 .67 6.56 8.54 10.60 • 12.69 14.73 16.65 18.39 19.89 21.07 21.91 22.34 .68 6.58 8.56 10.62 12.71 14.75 16.67 18.40 19.90 21.08 21.92 22.34 .69 6.60 8.58 10.64 12.73 14.77 16.69 18.42 19.91 21.09 21.93 22.34 .70 6.62 8.61 10.67 12.76 14.79 16.70 18.14 19.92 21.10 21.93 22.35 .71 6.64 8.63 10.69 12.78 14.81 16.72 18.46 19.94 21.11 21.94 22.35 .72 6.66 8.65 10.71 12.80 14.83 16.74 18.48 19.95 21.12 21.95 22.35 .73 6.68 8.67 10.73 12.82 14.85 16.76 18.49 19.96 21.13 21.95 22.35 .74 6.70 8.69 10.75 12.84 14.87 16.78 18.51 19.98 Ql.U 21.96 22.35 .75 6.72 8.71 10.77 12.86 14.89 16.80 18.52 1999 21.15 21.90 22.36 .76 6.74 8.73 10.79 12.88 14.91 16.82 18.54 20.01 21.16 21.97 22.36 .77 6.76 8.75 10.81 12.90 14.93 16.84 18.56 20.02 21.17 21.98 22.36 .78 6.78 8.77 10.83 12.92 14.95 16.86 18.57 20.03 21.18 21.98 22.36 .79 6.80 8.79 10.85 12.94 14.97 16.88 18.59 20.04 21.19 21.99 22.36 .80 6.82 8.81 10.88 12.96 14.99 16.89 18.60 20.05 21.20 21.99 22.36 .81 6.83 8.83 10.90 12.98 15.01 16.91 18.02 20.07 31.21 22.00 22.37 .82 6.85 8.85 10.92 13.00 15.03 16.93 18.64 20.08 21.22 22.00 22.37 .83 6.87 8.87 10.94 13.02 15.05 16.95 18.65 20.09 21.23 22.01 22.37 .84 6.89 8.89 10.96 13.04 15.07 16.97 18.67 20.11 21.24 22.01 22.37 .85 6.91 8.91 10.98 13.06 15.09 16.98 18.68 20.12 21.25 22.02 22.38 .86 6.93 8.93 11.00 13.08 15.11 17.00 18.70 20.13 21.26 22.02 22.38 .87 6.95 8.95 11.02 13.10 15.13 17.02 18.72 20.15, 21.27 22.03 22.38 .88 6.97 8.97 11.04 13.12 15.15 17.04 18.73 20.16 21.28 22.03 22.38 .89 6.99 8.99 11.06 13.14 15.17 17.06 18.75 20.17 21.29 22.04 22.38 .90 7.01 9.01 11.09 13.17 15.18 17.07 18.76 20.18 21.30 22.04 22.38 .91 7.03 9.03 11.11 13.19 15.20 17.09 18.78 20.20 21.31 22.05 22.38 .92 7.05 9.05 11.13 13.21 15.22 17.11 18.79 20.21 21.32 22.05 22.38 .93 7.07 9.07 11.15 13.23 15.24 17.13 18.81 20.22 21.33 22.06 22.38 .94 7.09 9.09 11.17 13.25 15.26 17.15 18.82 20.24 21.34 22.06 22.38 .95 7.11 9.11 11.19 13.27 15.28 ' 17.16 18.84 20.25 21.35 22.07 22.39 .96 7.13 9.13 11.21 13.29 15.30 17.18 18.85 20.26 21.36 22.08 22.39 .97 7.15 9.15 11.23 13.31 15.32 17.20 18.87 20.28 21.37 22.08 22.39 .98 7.17 9.17 11.25 13.33 15.34 17.22 18.88 20.29 21.38 22.09 22.39 .99 7.19 9.19 11.27 13.35 15.36 17.24 18.90 20.30 21.39 22.10 22.39 1.00 7.21 9.22 11.30 13.37 15.38 17.25 18.91 20.31 21.39 22.10 22.39 245 TABLE VIII". ARGUMENT 3. Equation = 31". 16 -f 0".345 sin. t — 20".808 sin. 21 — 0".023 sin. 3t — 0".65 sin. 4«. Period, 29.530588 days. Days. Q 1 2 3 4 5 6 7 8 9 Days. .00 33.97 22.14 12.11 5.78 4.18 7".33 14.43 24*.16 34.93 45.10 .01 33.85 22.03 12.03 5.74 4.19 7.38 14.52 24.27 35.04 45.19 .02 33.73 21.92 11.94 5.70 4.20 7.44 14.61 24.37 85.16 45.28 .03 33.62 21.80 11.86 5.66 4.20 7.49 14.69 24.48 35.25 4.5.38 .04 33.50 21.69 11.77 5.62 4.21 7.55 14.78 24.58 35.36 45.47 .05 33.38 21.58 11.69 5.58 4.22 7.60 14.87 24.69 35.47 45.56 .06 33.26 21.47 11.61 5.54 4.23 7.66 14.96 24.80 35.58 45.65 .07 33.14 21.36 11.53 5.51 4.24 7.71 15.05 24.90 35.68 45.74 .08 33.02 21.24 11.45 5.47 4.26 7.77 15.13 25.01 35.79 45.83 .09 32.90 21.13 11.37 5.44 4.27 7.82 15.22 25.11 35.89 45.92 .10 32.78 21.02 11.29 5.40 4.28 7.88 15.31 25.22 36.00 46.01 .11 32.66 20.91 11.21 5.36 4.30 7.94 15.40 25.33 36.11 46.10 .12 32.54 20.80 11.13 5.33 4.31 8.00 15.49 25.43 36.21 46.19 .13 32.42 20.69 11.05 5.29 4.33 8.05 15.58 25.54 36.32 46.28 .14 32.30 20.58 10.97 5.26 4.34 8.11 15.67 25.64 36.42 46.37 .15 32.18 20.47 10.89 5.22 4.36 8.17 15.76 25.75 36.53 46.46 .16 32.06 20.36 10.81 5.19 4.38 8.23 15.85 25.86 36.64 46.55 .17 31.94 20.25 10.73 5.16 4.39 8.29 15.94 25.96 36.74 46.64 .18 31.82 20.14 10.66 5.12 4.41 8.35 16.04 26.07 36.85 46.73 .19 31.70 20.03 10.58 5.09 4.42 8.41 16.13 26.17 36.95 46.82 .20 31.58 19.92 10.50 5.06 4.44 8.47 16.22 26.28 37.06 46.91 .21 31.46 19.81 10.42 5.03 4.46 8.53 16.31 26.39 37.17 17.00 .22 31.34 19.70 10.35 5.00 4.48 8.59 16.40 26.50 37.27 47.09 .23 31.22 19.60 10.27 4.98 4.50 8.66 16.50 26.60 37.38 47.17 .24 31.10 19.49 10.20 4.95 4.52 8.72 16.59 26.71 37.48 47.26 .25 30.98 19.38 10.12 4.92 4.54 8.78 16.68 26.82 37.59 47.35 .26 30.86 19.27 10.05 4.89 4.56 8.84 16.77 26.93 37.70 47.44 .27 30.74 19.16 9.98 4.86 4.58 8.90 1687 27.04 37.80 47.52 .28 30.62 19.06 9.90 4.84 4.60 8.97 16.96 27.14 37.91 47.61 .29 30.50 18.95 9.83 4.81 4.62 9.03 17.06 27.25 38.01 47.69 .30 30.38 18.84 9.76 4.78 4.64 9.09 17.15 27.36 38.12 47.78 .31 30.26 18.73 9.69 4.76 4.66 9.16 17.24 27.47 38.22 47.86 .32 30.14 18.63 9.62 4.73 4.69 9.22 17.31 27.58 . 38.33 47.95 .33 30.01 18.52 9.54 4.71 4.71 9.29 17.43 27.68 38.43 48.03 .34 29.89 18.42 9.47 4.68 4.74 9.35 17.53 27.79 38.54 48.12 .35 29.77 18.31 9.40 4.66 4.76 9.42 17.62 27.90 38.64 48.20 .36 29.65 18.21 9.33 4.64 4.79 9.49 17.72 28.01 38.74 1858 .37 29.53 18.10 9.26 4.62 4.82 9.56 17.81 28.12 38.88 18.87 .38 29.41 18.00 9.19 4.59 4.84 9.62 17.91 28.22 38.96 IN, If, .39 29.29 17.89 9.12 4.57 4.87 9.69 18.00 28.33 39.06 48.54 .40 29.17 17.79 9.05 4.55 4.90 9.75 18.10 28.44 39.16 48.62 .41 29.05 17.69 8.98 4.53 4.93 9.83 18.20 28.55 39.26 1S.70 .42 28.93 17.59 8.92 4.51 4.96 9.90 18.29 28.66 :t!».:o 48.78 .48 •^ssi 17.48 N.N: 4.49 4.98 9.96 18.39 28.76 89.47 48.87 ,11 28.69 17.38 8.79 4.47 5.01 10.03 18.48 28.87 39.58 48.95 .45 2S.:,7 17.28 8.72 4.45 5.04 10.10 18.58 28.98 39.68 49.03 .46 •js. i: 17.18 8.65 4.43 5.07 10.17 18.68 29.09 39.78 49.11 .17 28.33 17.08 8.59 4.41 5.10 10.24 18.77 29.20 89.88 49.19 .is •Js.-J 1 16.97 8.52 4.40 5.13 10.31 18.87 29.30 39.99 49.28 .49 28.09 16.87 8.46 4.38 5.16 10.38 18.96 29.41 40.09 49.80 .80 27.97 16.77 8.39 4.36 5.19 10.45 19.06 29.52 40.19 49.44 216 TABLE VIII". ARGUMENT 3. Equation = 31". 16 -(- 0".345 sin. t — 20".808 sin. 2< — 0".023 sin. 3t — 0".65 sin. 4«. Period, 29.530588 days. Days. O 1 2 3 4 5 6 7 8 9 Days. .50 27.97 16.77 8.39 4.36 5". 19 10.45 19.06 29.52 40.19 49.44 .51 27.85 16.67 8.33 4.35 5.22 10.52 19.16 29.63 40.29 49.52 .52 27.73 16.57 8.27 4.33 5.26 10.59 19.26 29.74 40.39 49.60 .53 27.62 16.46 8.20 4.32 5.29 10.67 19.36 29.84 40.50 49.67 .54 27.50 16.36 8.14 4.30 5.33 10.74 19.46 29.95 40.60 49.75 .55 27.38 16.26 8.08 4.29 5.36 10.81 19.56 30.06 40.70 49.83 .56 27.26 16.16 8.02 4.28 5.39 10.89 19.66 30.17 40.80 49.91 .57 27.14 16.06 7.96 4.27 5.43 10.96 19.76 30.28 40.90 49.99 .58 27.03 15.97 7.90 4.25 5.46 11.01 19.85 30.38 41.01 50.06 .59 26.91 15.87 7.84 4.24 5.50 11.11 19.95 30.49 41.11 50.14 .60 26.79 15.77 7.78 4.23 5.53 11.19 20.05 30.60 41.21 50.22 .61 26.67 15.67 7.72 4.22 5.57 11.27 20.15 30.71 41.31 50.30 .62 26.55 15.57 7.66 4.21 5.61 11.34 20.25 30.82 41.41 50.37 .63 26.44 15.48 7.61 4.20 5.65 11.42 20.35 30.93 41.51 50.45 .64 26.32 15.38 7.55 4.19 5.69 11.49 20.45 31.04 41.61 50.52 .65 26.20 15.28 7.49 4.18 5.73 11.57 20.55 31 15 41.71 50.60 .66 26.08 15.18 7.43 4.17 5.77 11.65 20.65 31.26 41.81 50.67 .67 25.96 15.09 7.38 4.16 5.81 11.73 20.75 31.37 41.91 50.75 .68 25.85 14.99 7.32 4.16 5.85 11.80 20.86 31.47 42.01 50.82 .69 25.73 14.90 7.27 4.15 5.89 11.88 20.96 31.58 42.11 50.90 .70 25.61 14.80 7.21 4.14 5.93 11.96 21.0(5 31.69 42.21 50.97 .71 25.49 14.71 7.16 4.13 5.97 12.04 21.16 31. '80 42.31 51.04 .72 25.37 14.61 7.10 4.13 6.01 12.12 21.26 31.91 42.41 51.12 .73 25.26 14.52 7.05 4.12 6.05 12.19 21.37 32.02 42.50 51.19 .74 25.14 14.42 6.99 4.12 6.09 12.27 21.47 32.13 42.60 51.27 .75 25.02 14.33 6.94 4.11 6.13 12.35 21.57 32.2S 42.70 51.34 .76 24.90 14.24 6.89 4.11 6.17 12.43 21.67 32.34 42.80 51.41 .77 24.79 14.15 6.84 4.11 6.22 12.51 21.77 32.45 42.90 51.48 .78 24.67 14.05 6.79 4.10 6.26 12.59 21.88 32.55 42.99 51.56 .79 24.56 13.96 6.74 4.10 6.31 12.67 21.98 32.66 43.09 51.63 .80 24.44 13.87 6.69 4.10 6.35 12.75 22.08 32.77 43.19 51.70 .81 24.32 13.78 6.64 4.10 6.40 12.83 22.18 32. N8; 43.29 51.77 .82 24.21 13.69 6.59 4.10 6.44 12.91 22.28 32.99 43.38 51.84 .83 24.09 13.60 6.54 4.10 6.49 13.00 22.39 33.09 43.48 51.90 .84 23.98 13.51 6.49 4.10 6.53 13.08 22.49 33.20 43.57 51.97 .85 23.86 13.42 6.44 4.10 6.58 13.16 22.59 33.31 43.67 52.04 .86 23.74 13.33 6.39 4.10 6.63 13.24 22.69 33.42 43.77 52.11 .87 23.63 13.24 6.35 4.11 6.68 13.32 22.80J 33-53 43.86 52.18 .88 23.51 13.15 6.30 4.11 6.72 13.41 22.90 33.63 43.96 52.24 .89 23.40 13.06 6.26 4.12 6.77 13.49 23.01 33.74 44.05 52.31 .90 23.28 12.97 6.21 4.12 6.82 13.57 23.11 33.85 44.15 52.38 .91 23.17 12.88 6.17 4.12 6.87 13.66 23.22 33.96 44.25 52.45 .92 23.05 12.80 6.12 4.13 6.92 13.74 23.32 34.07 44.34 52.51 .93 22.94 12.71 6.08 4.13 6.97 13.83 23.43 34.17 44.44 52.58 .94 22.82 12.63 6.03 4.14 7.02 13.91 23.53 34.28 44.53 52.64 .95 22.71 12.54 5.99 4.14 7.07 14.00 23.64 34.39 44.63 52.71 .96 22.60 12.45 5.95 4.15 7.12 14.09 23.74 34.50 44.72 52.77 .97 22.48 12.37 5.91 4.16 7.17 14.17 23.85 34.61 44.82 52.84 .98 22.37 12.28 5.86 4.16 7.23 14.26 23.95 34.71 44.91 52.90 .99 22.25 12.20 5.82 4.17 7.28 14.34 24.06 34.82 45.01 52.97 1.00 22.14 12.11 5.78 4.18 7.33 14.43 24.16 34.93 45.10 53.03 247 TABLE VIII". ARGUMENT 3. Equation = 31".16 + 0".345 sin. t — 20".808 sin. 2t — 0".023 sin. 3/ — 0".65 sin. 4«. Period, 29.530588 days. Days. 1O 11 1« 13 14 IS 16 17 18 19 Days. .00 53.03 57.32 56.99 51.84 42.65 31.16 19.67 10.48 5.33 5.00 .01 53.09 57.34 56.96 51.77 42.54 31.04 19.56 10.41 5.30 5.02 .02 53.15 57.36 56.93 51.69 42.44 30.92 19.45 10.34 5.28 .r).0l .03 53.22 57.38 56.91 51.62 42.33 30.80 19.35 10.26 5.25 5.07 .04 53.28 57.40 56.88 51.54 42.23 30.68 19.24 10.19 5.23 5.09 .05 53.34 57.42 56.85 51.47 42.12 30.56 19.13 10.12 5.20 5.11 .06 53.40 57.44 56.82 51.39 42.01 30.44 19.03 10.05 5.18 5.13 .07 53.46 57.46 56.79 51.31 41.90 30.32 18.92 9.98 5.15 5.16 .08 53.53 57.47 56.75 51.24 41.79 30.21 18.82 9.90 5.13 5.18 .09 53.59 57.49 56.72 51.16 41.68 30.09 18.71 9.83 5.10 5.21 .10 53.65 57.51 56.69 51.08 41.57 29.97 18.61 9.76 5.08 5.23 .11 53.71 57.52 56.66 51.00 41.46 29.85 18.51 9.69 5.06 5.26 .12 53.77 57.54 56.62 50.92 41.35 29.73 18.40 9.62 5.04 5.28 .13 53.82 57.55 56.59 50.85 41.24 29.62 18.30 9.56 5.01 5.31 .14 53.88 57.57 56.55 50.77 41.13 29.50 18.19 9.49 4.99 5.33 .15 53.94 57.58 56.52 50.69 41.02 29.38 18.09 9.42 4.97 5.36 .16 54.00 57.59 56.48 50.61 40.91 29.26 17.99 9.35 4.95 5.39 .17 54.05 57.61 56.45 50.53 40.80 29.14 17.89 9.29 4.93 5.42 .18 54.11 57.62 56.41 50.44 40.69 29.02 17.78 9.22 4.91 5.45 .19 54.16 57.64 56.38 50.36 40.58 28.90 17.68 9.16 4.89 5.48 .20 54.22 57.65 56.34 50.28 40.47 28.78 17.58 9.09 4.87 5.51 .21 54.28 57.66 56.30 50.20 40.36 28.66 17.48 9.02 4.85 5.54 .22 54.33 57.67 56.26 50.12 40.25 28.54 17.38 8.96 4.83 557 .23 54.39 57.68 56.23 50.03 40.13 28.43 17.27 8.89 4.82 5.60 .24 54.44 57.69 56.19 49.95 40.02 28.31 17.17 8.83 4.80 5.63 .25 54.50 57.70 56.15 49.87 39.91 28.19 17.07 8.76 4.78 5.66 .26 54.55 57.71 56.11 49.79 39.80 28.07 16.97 8.70 4.77 5.69 .27 54.60 57.71 56.07 49.70 39.69 27.95 16.87 8.64 4.75 5.73 .28 54.66 57.72 56.02 49.62 39.57 27.84 16.77 8.57 4.74 5.76 .29 54.71 57.72 55.98 49.53 39.46 27.72 16.67 8.51 4.72 5.80 .30 54.76 57.73 55.94 49.45 39.35 27.60 16.57 8.45 4.71 5.83 .31 54.81 57.74 55.90 49.36 39.24 27.48 16.47 8.39 4.70 5.87 .32 54.86 57.74 55.85 49.28 39.12 27.37 16.37 8.33 4.69 5.90 .3:1 54.91 57.75 55.81 49.19 39.01 27.25 16.28 8.28 4.68 5.94 .34 54.96 57.75 55.76 49.11 38.89 27.14 16.18 8.22 4.67 5.97 .35 55.01 57.76 55.72 49.02 38.78 27.02 16.08 8.16 4.66 6.01 .36 55.06 57.76 55.67 48.93 38.67 26.90 15.98 8.10 4.65 6.05 .37 55.11 57.77 55.63 48.84 38.55 26.78 15.89 8.04 4.64 6.09 .38 55.16 57.77 55.58 48.75 38.44 2C.67 15.79 7.99 4.63 6.12 .39 55.21 57.78 55.54 48.66 38.32 26.55 15.70 7.93 4.62 6.16 .40 55.26 57.78 55.49 48.57 38.21 26.43 15.60 7.87 4.61 6.20 .41 .-,:,.:{ I 57.78 55.44 48.48 38.10 26.31 15.50 7.81 4.60 6.24 .42 55.35 57.78 55.39 js.:i!> 37.98 26.19 15.41 7.76 4.60 6.28 .43 ;.:,. 10 57.78 56.86 48.30 37.87 26.08 15.31 7.70 4.5!) 6.32 .11 55.44 57.78 55.30 48.21 37.75 25.96 15.22 7.65 4.59 6.36 .!.-> 55.49 57.78 55.25 48.12 37.64 25.8 1 15.12 7.59 4.58 6.40 .46 .Vi.53 .r>7.78 55.20 48.03 37.52 25.72 15.03 7.5 1 4.57 6.44 .17 :>:,.: ">* 57.78 56.15 47.94 37.il 25.61 11. ill 7.49 4.57 6.48 .48 55.68 57.77 55.00 47.85 37.29 25.49 14.84 7.43 4.56 6.53 .lit 55.67 57.77 55.04 47.76 37.18 25.38 14.75 7.38 4.56 6.57 .50 55.71 57.77 54.99 47.67 37.06 25.26 14.66 7.33 4.55 6.61 TABLE Vlir. ARGUMENT 3, Equation = 31". 16 + 0".345 sin. t — 20".808 sin. 2< — 0".023 sin. 3t — 0".65 sin. 4t. Period, 29.530588 days. Days. 1O 11 19 13 14 15 16 17 18 19 Days. .50 II 55.71 57.77 54*.99 47.67 37.06 25.26 14.66 7.33 4.55 6".61 .51 55.75 57.77 54.94 47.58 36.94 25.14 14.57 7.28 4.55 6.65 .52 55.79 57.76 54.89 47.48 36.82 25.03 14.48 7.23 4.55 6.70 .53 55.84 57.76 54.83 47.39 36.71 24.91 14.38 7.17 4.54 6.74 .54 55.88 57.75 54.78 47.29 36.60 24.80 14.29 7.12 4.54 6.79 .55 55.92 57.75 54.73 47.20 36.48 24.68 14.20 7.07 4.54 6.83 .56 55.96 57.74 54.67 47.10 36.36 24.57 14.11 7.02 4.54 6.88 .57 56.00 57.73 54.62 47.01 36.24 £4.45 14.02 6.97 4.54 6.92 .58 56.04 57.73 54.56 46.91 36.13 24.34 13.93 6.93 4.54 6.97 .59 56.08 57.72 54.51 46.82 36.01 24.22 13.84 6.88 4.54 7.01 .60 56.12 57.71 54.45 46.72 35.89 24.11 13.75 6.83 4.54 7.06 .61 56.16 57.70 54.39 46.62 35.77 24.00 13.66 6.78 4.54 7.11 .62 56.20 57.69 54.33 46.53 35.65 23.88 13.57 6.74 4.55 7.16 .63 56.23 57.68 54.28 46.43 35.54 23.77 13.48 6.69 4.55 7.21 .64 56.27 57.67 54.22 46.34 35.42 23.65 13.39 6.65 4.56 7.26 .65 56.31 57.66 54.16 46.24 35.30 23.54 13.30 6.60 4.56 7.31 .66 56.35 57.65 54.10 46.14 35.18 23.43 13.21 6.56 4.57 7.36 .67 56.38 57.S4 54.04 46.04 35.06 23.31 13.13 6.51 4.57 7.41 .68 56.42 57.63 53.99 45.95 34.95 23.20 13.04 6.47 4.58 7.46 .69 56.45 57.62 53.93 45.85 34.83 23.08 12.96 6.42 4.58 7.51 .70 56.49 57.61 53.87 45.75 34.71 22.97 12.87 6.38 4.59 7.56 .71 56.52 57.60 53.81 45.65 34.59 22.86 12.79 6.34 4.60 7.61 .72 56.56 57.58 53.75 45.55 34.48 22.75 12.70 6.30 4.60 7.66 .73 56.59 57.57 53.69 45.45 34.36 22.63 12.62 6.26 4.61 7.72 .74 56.63 57.55 53.63 45.35 34.25 22.52 12.53 6.22 4.61 7.77 .75 56.66 57.54 53.57 45.25 34.13 22.41 12.45 6.18 4.62 7.82 .76 56.69 57.52 53.50 45.15 34.01 22.30 12.37 6.14 4.63 7.87 .77 56.72 57.50 53.44 45.05 33.89 22.19 12.29 6.10 4.64 7.93 .78 56.75 57.49 53.37 44.94 33.78 22.07 12.20 6.06 4.65 7.98 .79 56.78 57.47 53.31 44.84 33.66 21.96 12.12 6.02 4.66 8.04 .80 56.81 57.45 53.24 44.74 33.54 21.85 12.04 5.98 4.67 8.10 .81 56.84 57.43 53.17 44.64 33.42 21.74 11.96 5.94 4.68 8.16 .82 56.87 57.41 53.10 44.54 33.30 21.63 11.88 5.91 4.70 8.21 .83 56.90 57.39 53.04 44.43 33.18 21.52 11.79 5.87 4.71 8.27 .84 56.93 57.37 52.97 44.33 33.06 21.41 11.71 5.84 4.73 8.32 .85 56.96 57 35 52.90 44.23 32.94 21.30 11.63 5.80 4.74 8.38 .86 56.99 57.33 52.83 44.13 3282 21.19 11.55 5.77 4.75 8.44 .87 57.01 57.31 52.76 44.02 32.70 21.08 11.47 5.73 4.77 8.50 .88 57.04 57.29 52.70 43.92 32.59 20.97 11.39 5.70 4.78 8.55 .89 57.06 57.27 52.63 43.81 32.47 20.86 11.31 5.66 4.80 8.61 .90 57.09 57.25 52.56 43.71 32.35 20.75 11.23 5.63 4.81 8.67 .91 57.11 57.23 52.49 43.61 32.23 20.64 11.15 5.60 4.83 8.73 .92 57.14 57.20 52.42 43.50 32.11 20.53 11.08 5.57 4.85 8.79 .93 57.16 57.18 52.35 43.40 32.00 20.43 11.00 5.53 4.86 8.86 .94 57.19 57.15 52.28 43.29 31.88 20.32 10.93 5.50 4.88 8.92 .95 57.21 57.13 52.21 43.19 31.76 20.21 10.85 5.47 4.90 8.98 .96 57.23 57.10 52.14 43.08 31.64 20.10 10.78 5.44 4.92 9.04 .97 57.25 57.07 52.06 42.97 31.52 19.99 10.70 5.41 4.94 9.10 .98 57.28 57.05 51.99 42.87 31.40 19.89 10.63 5.39 4.96 9.17 .99 57.30 57.02 51.91 42.76 31.28 19.78 , 10.55 5.36 4.98 9.23 1.00 57.32 56.99 51.84 42.65 31.16 19.67 10.48 5.33 5.00 9.29 249 TABLE VIII". ARGUMENT 3. Equation = 31". 16 + 0".345 sin. t — 20".808 sin. 2t — 0".023 sin. 3t — 0".65 sin. 4*. Period, 29.530588 days. Days. 2O 21 99 23 24 25 26 27 28 29 l)iiya. .00 9.29 17.23 27*.39 38.16 47.89 54 .99 58.14 56.54 50.21 40.18 .01 9.35 17.32 27.50 38.26 47.98 55.04 58.15 56.50 50.1-2 40.07 .02 9.4-2 17.4-2 27.61 38.37 48.06 55.09 58.16 56.46 50.04 39.95 .03 9.48 17.51 27.71 38.47 48.15 55.15 58.16 56.41 49.95 39.84 .04 9.55 17.61 27.82 38.58 48.23 55.20 58.17 56.37 49.87 39.72 .05 9.61 17.70 27.93 38.68 48.32 55.25 58.18 56.33 49.78 39.61 .06 9.68 17.79 28.04 38.79 48.40 5&.80 58.18 56.29 49.69 39.50 .07 9.74 17.89 28.14 38.89 . 48.49 55.35 58.19 56.24 49.60 39.38 .08 9.81 17.98 28.25 39.00 48.57 55.40 58.19 56.20 49.52 39.27 .09 9.87 18.08 28.35 39.10 48.66 55.45 58.20 56.15 49.43 39.15 .10 9.94 18.17 28.46 39.21 48.74 55.50 58.20 56.11 49.34 39.04 .11 10.01 18.27 28.57 39.31 48.82 55.55 58.20 56.06 49.25 38.92 .12 10.08 18.36 28.68 39.42 48.91 55.60 58.21 56.02 49.16 38.81 .13 10.14 18.46 28.78 39.52 48.99 55.61 5M.-2 1 55.97 49.08 38.69 .14 10.21 1855 28.89 39.63 49.08 55.61, 58.22 55.93 48.99 38.58 .15 10.28 18.65 29.00 39.73 49.16 56.74 58.22 55.88 48.90 38.46 .16 1035 18.75 29.11 39.83 49.24 65.7S 58.99 55.83 48.81 88.84 .17 10.42 18.84 29.22 39.93 49.32 55.8:} 58.82 55.78 48.72 38.23 .18 10.49 18.94 29.33 40.04 49.41 55.88 58.18 55.73 48.63 38.11 .19 10.56 19.03 29.44 40.14 49.49 55.92 58.2-2 55.68 48.54 38.00 .20 10.63 19.13 29.55 40.24 49.57 55.97 58.22 55.63 48.45 37.88 .21 10.70 19.23 29.66 40.34 49.65 56.01 58.22 55.58 48.36 37.76 .22 10.77 19.33 29.77 40.44 49.73 56.06 58.22 55.53 48.27 37.65 .23 10.84 19.42 29.87 40.55 49.81 5'M. 5S.-21 55.48 48.17 87.63 .24 10.91 19.52 29.98 40.65 49.89 56.15 58.21 55.43 48.08 37.42 I .25 10.98 19.62 30.09 40.75 49.97 56.19 58.21 55.38 47.99 37.30 .26 11.05 19.72 30.20 40.85 50.05 56.23 58.20 55.33 47.89 37.18 .27 11.13 19.82 30.31 40.95 50.13 56.27 5850 55.27 47.80 37.06 .28 11.20 19.91 30.41 41.06 50.20 56.32 58.19 55.22 47.70 36.95 .29 11.28 20.01 30.52 41.16 50.28 56.36 58.19 55.16 47.61 36.83 .30 11.35 20.11 30.63 41.26 50.36 56.40 58.18 55.11 47.52 36.71 .31 11.42 20.21 30.74 41.36 50.44 56.44 58.17 55.05 47.42 36.59 .32 11.50 20.31 30.85 41.46 50.52 56.48 58.16 55.00 47.33 86.47 .33 11.57 20.41 30.95 41.57 50.59 56.52 58.16 54.94 47.23 36.36 .34 11.65 20.51 31.06 41.67 50.67 56.56 58.15 54.89 47.14 36.24 .35 11.72 20.61 31.17 41.77 50.75 56.60 58.14 54.83 47.04 36.12 .36 11.80 20.71 31.28 41.87 50.83 56.64 58.13 54.77 46.94 36.00 .37 11.87 20.81 31.39 41.97 50.90 56.68 58.12 54.71 46.84 35.88 .38 11.95 20.91 31.50 42.07 50.98 56.71 58. 1 1 54.66 46.75 35.77 .39 12.02 21.01 31.61 42.17 51.05 56.75 58.10 54.60 46.65 35.65 .40 12.10 21.11 31.72 42.27 51.13 56.79 58.09 54.54 46.55 35.53 .41 12.18 21.21 31.83 42.37 51.20 56.82 5H.08 54.48 46.45 35.41 .42 12.26 21.31 31.93 42.47 51.28 56.66 58.07 5443 46.35 35.29 .43 12.33 21.42 32.04 42.56 51.35 56.89 58.05 54.86 46.26 35.18 .44 12.41 21.52 32.15 42.66 51.43 56.93 58.04 54.30 46.16 35.06 .45 12.49 > 21.62 32.26 42.76 51.50 56.96 58.03 54.24 46.06 34.94 .46 12.57 21.72 32.37 42.86 51.57 5699 58.02 54. IN 45.96 34.82 .47 12.65 21.82 32.48 42.96 51.64 57.02 58.00 54.12 45.86 34.70 .48 12.72 21.93 32.58 43.05 51.72 57.06 57.99 54.05 45.76 34.58 .49 12.80 22.03 32.69 43.15 51.79 57.09 57.97 53.99 45.66 34.46 .50 12.88 22.13 32.80 43.25 51.86 57.13 57.96 5393 45.55 34.34 250 TABLE VIIF. ARGUMENT 3. Equation = 31".16 + 0".345 sin. t — 20".808 sin. 2t — 0".023 sin. 3t — 0".65 sin. 4t. Period, 29.530588 days. Days. 3O 31 33 33 34 95 36 97 98 2» Daya. .50 12.88 22.13 32*.80 43.25 51.86 57.13 57.96 53".93 45.55 34.34 .51 12.96 22.23 32.91 43.35 51.93 57.15 57.94 53.86 45.45 34.22 .52 13.04 22.33 33.02 43.45 52.00 57.18 57.92 53.80 45.35 34.10 .53 13.13 22.44 33.12 43.54 52.08 57.21 57.91 53.73 45.24 33.98 .51 13.21 22.54 33.23 43.64 52.15 57.24 57.89 53.67 45.14 33.86 .55 13.29 22.64 33.34 43.74 5222 57.27 57.87 53.60 45.04 33.74 .56 13.37 22.74 33.45 43.84 52.29 57.30 57.85 53.53 44.94 33.62 .57 13.45 22.85 33.56 43.93 52.36 57.33 57.83 53.47 44.84 33.50 .58 13.54 22.95 33.66 44.03 52.43 57.36 57.80 53.40 44.73 33.39 .59 13.62 23.06 33.77 44.12 52.50 57.39 57.78 53.34 44.63 33.27 .60 13.70 23.16 33.88 44.22 52.57 57.42 57.76 53.27 44.53 33.15 .61 13.78 23.26 33.99 44.32 52.64 57.45 57.74 53.20 44.43 33.03 .62 13.87 23.37 34.10 44.41 52.70 57.48 57.72 53.13 44.32 32.91 .63 13.95 23.47 34.20 44.51 52.77 57.50 57.69 53.06 44.22 32.79 .64 14.04 23.58 34.31 44.60 52.83 57.53 57.67 52.99 44.11 32.67 .65 14.12 23.68 34.42 44.70 52.90 57.56 57.65 52.92 44.01 32.55 .66 14.20 23.78 34.53 44.79 52.96 57.58 57.63 52.85 43.90 32.43 .67 14.29 23.89 34.64 44.89 53.03 57.61 57.60 52.78 43.80 32.31 .68 14.37 23.99 34.74 44.98 53.09 57.63 57.58 52.70 43.69 32.18 .69 14.46 24.10 34.85 45.08 53.16 57.66 57.55 52.63 43.59 32.06 .70 14.54 24.20 34.96 45.17 53.22 57.68 57.53 52.56 43.48 31.94 .71 14.63 2431 35.07 45.26 53.28 57.70 57.50 52.49 43.37 31.82 .72 14.71 24.41 35.18 45.36 53.35 57.72 57.48 52.42 43.26 31.70 .73 14.80 24.52 35.28 45.45 53.41 57.74 57.45 52.34 43.16 31.58 .74 14.88 24.62 35.39 45.55 53.48 57.76 57.43 52.27 43.05 31.46 .75 14.97 2473 35.50 45.64 53.54 57.78 57.40 52.20 42.94 31.34 .76 15.06 24.84 35.61 45.73 53.60 57.80 57.37 52.12 42.83 31.22 .77 15.15 24.94 35.72 45.82 53.66 57.82 57.34 52.05 42.72 31.10 .78 15.23 25.05 35.82 45.92 53.73 57.83 57.32 51.97 42.62 30.98 .79 15.32 25.15 35.93 46.01 53.79 57.85 57.29 5J. 90 42.51 30.86 .80 15.41 25.26 36.04 46.10 53.85 57.87 57.26 51.82 42.40 30.74 .81 15.50 25.37 36.15 46.19 53.91 57.89 57.23 51.74 42.29 30.62 .82 15.59 25.47 36.25 46.28 53.97 57.91 57.20 51.66 42.18 30.50 .83 15.68 25.58 36.36 46.38 54.03 57.92 57.16 51.59 42.07 30.38 .84 15.77 25.68 36.46 46.47 54.09 57.94 57.13 51.51 41.96 30.26 .85 15.86 25.79 36.57 46.56 54.15 57.96 57.10 51.43 41.85 30.14 .86 15.95 25.90 36.68 46.65 54.21 57.97 57.06 51.35 41.74 30.02 .87 16.04 26.00 36.78 46.74 54.27 57.99 57.03 51.27 41.63 29.90 .88 16.13 26.11 36.89 46.83 54.32 58.00 56.99 51.19 41.52 29.78 .89 16.22 26.21 36.99 46.92 54.38 58.02 56.96 51.11 41.41 29.66 .90 16.31 26.32 37.10 47.01 54.44 58.03 56.92 51.03 41.30 29.54 .91 16.40 26.43 37.21 47.10 54.50 58.04 56.88 50.95 41.19 29.42 .92 16.49 26.53 37.31 47.19 54.55 58.05 56.84 50.87 41.08 29.30 .93 16.59 26.64 37.42 47.27 54.61 58.07 56.81 50.79 40.96 29.18 .94 16.68 26.74 37.52 47.36 54.66 58.08 56.77 50.71 40.85 29.06 .95 16.77 26.85 37.63 47.45 54.72 58.09 56.73 50.63 40.74 28.94 .96 16.86 26.96 37.74 47.54 54.77 58.10 56.69 50.55 40.63 28.82 .97 16.95 27.07 37.84 47.63 54.83 58.11 56.65 50.46 40.52 28.70 .98 17.05 27.17 37.95 47.71 54.88 58.12 56.62 50.38 40.40 28.58 .99 17.14 27.28 38.05 47.80 54.94 58.13 56.58 50.29 40.29 28.46 1.00 17.23 27.39 38.16 47.89 54.99 58.14 56.54 50.21 40.18 28.34 251 TABLES XI. XII". TABLES ARGUMENTS XI". 6. xn". 7. Days. O 1O 20 3O Days. O 1 3 3 4 Days. I',i\ >. 0.0 0.84 0.35 0.02 0.65 Days. .00 10.19 9.55 7.06 3.79 1.06 Days. 1.00 0.1 0.84 0.34 0.02 0.65 .01 10.19 9.53 7.03 3.76 1.04 .99 0.2 0.84 0.33 0.03 0.66 .02 10.20 9.51 7.00 3.72 1.02 .98 0.3 0.84 0.33 0.03 0.66 .03 10.20 9.50 6.97 3.69 1.00 .97 0.4 0.84 0.32 0.03 0.67 .04 10.21 9.48 6.94 3.65 0.98 .96 0.5 0.84 0.31 0.04 0.68 .05 10.21 9.46 6.91 3.62 0.96 .95 0.6 0.84 0.30 0.04 0.68 .06 10.21 9.44 6.88 3.59 0.94 .94 0.7 0.84 0.30 0.04 0.69 .07 10.21 9.42 6.85 3.56 0.92 .93 0.8 0.84 0.29 0.05 0.69 .08 10.22 9.41 6.81 3.52 0.90 .92 0.9 0.84 0.28 0.05 0.70 .09 10.22 9.39 6.78 3.49 0.88 .91 1.0 1.1 1.2 1.3 1.4 0.84 0.84 0.84 0.83 0.83 0.27 0.26 0.25 &25 0.24 0.05 0.06 0.06 0.07 0.07 0.70 0.71 0.71 0.72 0.72 .10 .11 .12 .13 .14 10.22 10.22 10.22 10.23 10.23 9.37 9.35 9.33 9.31 9.29 6.75 6.72 6.69 6.65 6.62 3.46 3.43 3.40 3.36 3.33 0.86 0.84 0.82 0.81 0.79 .90 .89 .88 .87 .86 1.5 1.6 0.83 0.83 0.23 0.23 0.07 0.08 0.73 0.73 .15 .16 .17 10.23 10.23 10.23 9.27 9.25 9.23 6.59 6.56 6.53 3.30 3.27 3.24 0.77 0.75 0.73 .85 .84 .83 1.7 0.83 0.22 0.08 0.74 .18 10.24 9.21 6.49 3.21 0.72 .82 1.8 0.82 0.21 0.08 0.74 .19 10.24 9.19 6.46 3.18 0.70 .81 1.9 0.82 0.21 0.09 0.75 .20 10.24 9.17 6.43 3.15 0.68 .80 2.0 0.82 0.20 0.09 0.75 .21 10.24 9.15 6.40 3.12 0.66 .79 2.1 0.82 0.19 0.10 0.76 .22 10.24 9.13 6.37 3.09 0.65 .78 2.2 0.81 0.19 0.10 0.76 .23 1023 9.11 6.33 3.06 8.63 .77 2.3 0.81 0.18 0.11 0.77 .24 10.23 9.09 6.30 3.03 0.62 .76 2.4 0.81 0.18 0.11 0.77 .25 10.23 9.07 6.27 3.00 0.60 .75 2.5 0.80 0.17 0.12 0.78 .26 10.23 9.05 6.24 2.97 0.59 .74 2.6 0.80 0.16 0.12 0.78 .27 10.23 9.03 6.21 2.94 0.57 .73 2.7 0.80 0.16 0.13 0.78 .28 10.22 9.00 6.17 2.91 0.56 .72 2.8 0.79 0.15 0.13 0.79 .29 10.22 8.98 6.14 2.88 0.54 .71 2.9 0.79 0.15 0.14 0.79 .30 10.22 8.96 6.11 2.85 0.53 .70 3.0 3.1 3.2 3.3 0.79 0.78 0.78 0.77 0.14 0.14 0.13 0.13 0.14 0.15 0.15 0.16 0.79 0.80 0.80 0.80 .31 .32 .33 .34 10.22 10.21 10.21 10.21 8.94 8.92 8.89 8.87 6.08 6.04 6.01 5.97 2.82 2.79 2.76 2.73 0.52 0.50 0.49 0.47 .69 .68 .67 .66 3.4 0.77 0.12 0.16 0.81 .35 10.20 8.85 5.94 2.70 0.46 .65 .36 10.20 8.83 5.91 2.67 0.45 .64 3.5 0.77 0.12 0.17 0.81 .37 10.20 8.80 5.88 2.64 0.43 .63 3.6 0.76 0.11 0.18 0.81 .38 10.19 8.78 5.84 2.62 0.42 .62 3.7 0.76 0.11 0.18 0.82 .39 10.19 8.75 5.81 2.59 0.40 .61 3.8 0.75 0.10 0.19 0.82 3.9 0.75 0.10 0.20 0.82 .40 10.19 8.73 5.78 2.56 0.39 .60 .41 10.18 8.71 5.75 2.53 0.38 .59 4.0 0.75 0.09 0.20 0.82 .42 10.18 8.68 5.71 2.50 0.37 .58 4.1 0.74 0.09 0.21 0.83 .43 10.17 8.66 5.68 2.47 0.35 .57 4.2 0.74 0.08 0.21 0.83 .44 10.17 8.63 5.64 2.44 0.34 .56 4.3 0.73 0.08 0.22 0.83 4.4 0.73 0.07 0.23 0.83 .45 10.16 8.61 5.61 2.41 0.33 .55 .46 10.15 8.58 5.58 2.38 0.32 .54 4.5 0.72 0.07 0.23 0.83 .47 10.15 8.56 5.54 2.35 0.31 .53 4.6 0.72 0.06 0.24 0.84 .48 10.14 8.53 5.51 2.33 0.29 .52 4.7 0.71 0.06 0.25 0.84 .49 10.14 8.51 5.47 2.30 0.28 .51 4.8 0.71 0.06 0.26 0.84 .50 10.13 8.48 5.44 2.27 0.27 .50 4.9 50 0.70 0.70 0.05 0.05 0.27 0.27 0.84 0.84 Days. 98765 Days. TABLES XI". XII". TABLES ARGUMENTS XI". 6. XII". 7. Days. O 1O 2O 3O Days. O 1 3 3 4 Days. Da vs. 5.0 0.70 0.05 0.27 0.84 Days .50 10.13 8.48 5.44 2.27 0.27 Pay a. .50 5.1 0.69 0.05 0.28 0.84 .51 10.12 8.45 5.41 2.24 0.26 .49 5.2 0.69 0.04 0.29 0.84 .52 10.11 8.43 5.37 2.21 0.25 .48 5.3 0.68 0.04 0.29 0.84 .53 10.11 8.40 5.34 2.19 0.24 .47 5.4 0.68 0.04 0.30 0.84 .54 10.10 8.38 5.30 2.16 0.23 .46 5.5 0.67 0.03 0.31 0.84 .55 10.09 8.35 5.27 2.13 0.22 .45 5.6 0.66 0.03 0.32 0.84 .56 10.08 8.32 5.24 2.10 0.21 .44 5.7 0.66 0.03 0.32 0.84 .57 10.07 8.30 5.20 2.08 0.20 .43 5.8 0.65 0.03 0.33 0.84 .58 10.07 8.27 5.17 2.05 0.20 .42 5.9 0.65 0.02 0.35 0.84 .59 10.06 8.25 5.13 2.03 0.19 .41 6.0 6.1 6.2 6.3 6.4 0.64 0.63 0.62 0.62 0.61 0.02 0.02 0.02 0.01 0.01 0.36 0.37 0.37 0.38 0.39 0.84 0.83 0.83 0.83 0.83 .60 .61 .62 .63 .64 10.05 10.04 10.03 10.03 10.02 8.22 8.19 8.17 8.14 8.12 5.10 5.07 5.04 5.00 4.97 2.00 1.97 1.95 1.92 1.90 0.18 0.17 0.16 0.16 0.15 .40 .39 .38 .37 .36 .65 10.01 8.09 4.94 1.87 0.14 .35 6.5 0.60 0.01 0.39 0.83 .66 1000 8.06 4.91 1.84 0.13 .34 6.6 0.59 0.01 0.40 0.82 .67 9.99 8.03 4.87 1.82 0.12 .33 6.7 0.58 0.01 0.40 0.82 .68 9.98 8.01 4.84 1.79 0.12 .32 6.8 0.58 0.00 0.41 0.82 .69 9.97 7.98 4.80 1.77 0.11 .31 6.9 0.57 0.00 0.42 0.82 .70 9.96 7.95 4.77 1.74 0.10 .30 7.0 0.56 0.00 0.42 0.81 .71 9.95 7.92 4.74 1.72 0.09 .29 7.1 0.55 0.00 0.43 0.81 .72 9.94 7.89 4.71 1.69 0.09 .28 7.2 0.54 0.00 0.43 0.81 .73 9.92 7.87 4.67 1.67 0.08 .27 7.3 0.54 0.00 0.44 0.80 .74 9.91 7.84 4.64 1.64 0.08 .26 7.4 0.53 0.00 0.45 0.80 .75 9.90 7.81 4.61 1.62 0.07 .25 7.5 0.52 0.00 0.45 0.80 .76 9.89 7.78 4.58 1.60 0.07 .24 7.6 0.52 0.00 0.46 0.79 .77 9.88 7.*5 4.51 1.57 C.OG .23 7.7 0.51 0.00 0.47 0.79 .78 9.86 7.72 4.51 1.55 0.06 .22 7.8 0.50 0.00 0.48 0.79 .79 9.85 7.69 4.47 1.52 0.05 .21 7.9 0.50 0.00 0.49 0.78 .80 9.84 7.66 4.44 1.50 0.05 .20 8.0 8.1 8.2 8.3 0.49 0.48 0.48 0.47 0.00 0.00 0.00 0.00 0.50 0.50 0.51 0.52 0.78 0.77 0.77 0.77 .81 .82 .83 .84 9.83 9.81 9.80 9.78 7.63 7.60 7.58 7.55 4.41 4.38 4.34 4.31 1.48 1.45 1.43 1.40 0.05 0.05 0.04 0.04 .19 .18 .17 .16 8.4 0.46 0.00 0.52 0.76 .85 9.77 7.52 4.28 1.38 0.04 .15 .86 9.76 7.49 4.25 1.36 0.03 .14 8.5 0.46 0.00 0.53 0.76 .87 9.74 7.46 4.21 1.34 0.03 .13 8.6 0.45 0.00 0.54 0.75 .88 9.73 7.43 4.18 1.31 0.03 .12 8.7 0.44 0.00 0.54 0.75 .89 9.71 7.40 4.14 1.29 0.02 .11 8.8 0.44 0.00 0.55 0.75 8.9 0.43 0.00 0.56 0.74 .90 9.70 7.37 4.11 1.27 0.02 .10 .91 9.69 7.34 4.08 1.25 0.02 .09 9.0 0.42 0.00 0.57 0.74 .92 9.67 7.31 4.05 1.23 0.02 .08 9.1 0.41 0.00 0.58 0.73 .93 9.66 7.28 4.01 1.20 0.01 .07 9.2 0.40 0.00 0.58 0.73 .94 9.64 7.25 3.98 1.18 0.01 .06 9.3 0.40 0.01 0.59 0.72 9.4 0.39 0.01 0.60 0.72 .95 9.63 7.22 3.95 1.16 0.01 .05 .96 9.61 7.19 3.92 1.14 0.01 .04 9.5 0.38 0.01 0.61 0.71 .97 9.60 7.16 3.89 1.12 0.01 .03 9.6 0.38 0.01 0.61 0.71 .98 9.58 7.12 3.85 1.10 0.00 .02 9.7 0.37 0.01 0.62 0.70 .99 9.57 7.09 3.82 1.08 0.00 .01 9.8 0.36 0.02 0.63 0.70 1.00 9.55 7.06 3.79 1.06 0.00 .00 9.9 100 0.36 0.35 0.02 0.02 0.64 0.65 0.69 0.69 Days. 98765 Days. 253 TABLES Xlir.-XV. TABLES ARGUMENTS XIH". 8. xrv". 9. XV. 10. Days. O 1O O 1O 20 0 1O 2O j>m 0.0 3.44 6.55 0.82 0.21 6.21 o.oo 6.72 6.35 0.1 3.45 0.60 0.82 0.20 0.22 0.00 0.73 0.34 0.2 3.45 0.66 0.82 0.19 0.23 0.00 0.74 0.33 0.3 3.46 0.71 0.82 0.19 0.23 0.00 0.74 0.32 0.4 3.46 0.77 0.82 0.18 0.24 0.00 0.75 0.31 0.5 3.46 0.83 0.82 0.17 0.25 0.00 0.75 0.30 0.6 3.45 0.89 0.82 0.16 0.26 0.00 0.76 0.29 0.7 3.44 0.95 0.82 0.16 0.27 0.00 0.76 0.28 0.8 3.43 1.02 0.81 0.15 0.27 0.01 0.77 0.27 0.9 3.41 1.08 0.81 0.15 0.28 0.01 0.77 0.26 .0 3.39 1.15 0.81 0.14 "0.29 0.01 0.77 0.25 .1 3.37 1.22 0.81 0.13 0.30 0.01 0.78 0.24 .2 3.34 1.28 0.81 0.13 0.31 0.01 0.78 023 .3 3.31 1.35 0.80 0.12 0.31 0.02 0.79 0.23 .4 3.28 1.42 0.80 0.12 0.32 0.02 0.79 0.22 .5 3.25 1.49 0.80 0.11 0.33 0.02 0.80 0.21 .6 3.21 1.56 0.80 0.10 0.34 0.02 0.80 0.20 .7 3.18 1.63 0.80 0.10 0.35 0.03 0.80 0.19 .8 3.14 1.70 0.79 0.09 0.36 0.03 0.81 0.19 .9 3.10 1.77 0.79 0.09 0.37 0.04 0.81 0.18 2.0 3.06 1.84 0.79 0.08 0.38 0.04 0.81 0.17 2.1 3.01 1.91 0.79 0.07 0.39 0.04 0.81 0.16 2.2 2.96 1.98 0.79 0.07 0.40 0.05 0.81 0.15 2.3 2.91 2.05 0.78 0.06 0.40 0.05 0.82 0.15 2.4 2.86 2.11 0.78 0.06 0.41 0.06 0.82 0.14 2.5 2.81 2.18 0.78 0.05 0.42 0.06 0.82 0.13 2.6 2.75 225 0.77 0.05 0.43 0.07 0.82 0.12 2.7 2.69 2.32 0.77 0.04 0.44 0.07 0.82 0.11 2.8 2.63 2.38 0.76 0.04 0.44 0.08 0.82 0.11 2.9 2.57 2.45 0.76 0.03 0.45 0.08 0.82 0.10 3.0 2.51 2.51 0.75 0.03 0.46 0.09 0.82 0.09 3.1 2.45 2.57 0.74 0.03 0.47 0.10 0.82 O.ON 3.2 2.39 2.63 0.74 0.03 0.48 0.11 0.82 0.08 3.3 2.32 2.69 0.73 0.02 0.48 0.11 0.82 0.07 3.4 2.25 2.75 0.73 0.02 0.49 0.12 0.82 0.07 3.5 2.18 2.81 0.72 0.02 0.50 0.13 0.82 0.06 3.6 2.11 2.86 0.71 0.02 0.51 0.14 0.82 0.06 3.7 2.05 2.91 0.71 0.02 0.52 0.15 0.82 0.05 3.8 .98 2.96 0.70 0.01 0.52 0.15 0.81 0.05 3.9 .91 3.01 0.70 0.01 0.53 0.16 0.81 0.04 4.0 .84 3.06 0.69 0.01 0.54 0.17 0.81 0.04 4.1 .77 3.10 0.68 0.01 0.55 0.18 0.81 0.04 4.2 .70 3.14 0.68 0.01 0.56 0.19 0.81 0.03 4.3 .63 3.18 0.67 0.00 0.56 0.19 0.80 0.03 4.4 .56 3.21 0.67 0.00 0.57 0.20 6.80 0.02 4.5 .49 3.25 0.66 0.00 0.58 0.21 0.80 0.02 4.6 .42 3.28 0.65 0.00 0.59 0.22 0.80 0.02 4.7 1.35 3.31 0.64 0.00 0.60 0.23 0.79 0.02 4.8 1.28 3.34 0.64 0.00 0.60 0.23 0.79 0.01 4.9 1.22 .-{.:n 0.63 0.00 0.61 0.24 0.78 0.01 5.0 1.15 MQ 0.62 0.00 0.62 0.25 0.78 0.01 254 TABLES XIII". -XV. TABLES , ARGUMENTS XIII". 8. XIV". 9. XV". 10. Days. O 1O O 1O 2O 0 10 20 Days. 5.0 1.15 3.39 0.62 0.00 6.62 0.25 0.78 0.01 5.1 1.08 3.41 0.61 0.00 0.63 0.26 0.78 0.01 5.2 1.02 3.43 0.60 0.00 0.64 0.27 0.77 0.01 5.3 0.95 3.44 0.60 0.00 0.64 0.28 0.77 0.00 5.4 0.89 3.45 0.59 0.00 0.65 0.29 0.76 0.00 5.5 0.83 3.46 0.58 0.00 0.66 0.30 0.75 0.00 5.6 0.77 3.46 0.57 0.00 0.67 0.31 0.74 0.00 5.7 0.71 3.46 0.56 0.00 0.67 0.32 0.74 0.00 5.8 0.66 3.45 0.56 0.01 0.68 0.33 0.73 0.00 5.9 0.60 3.45 0.55 0.01 0.68 0.34 0.73 0.00 6.0 0.55 3.44 0.54 0.01 0.69 0.35 0.72 0.00 6.1 0.50 3.43 0.53 0.01 0.70 0.36 0.71 0.00 6.2 0.45 3.41 0.52 0.01 0.70 0.37 0.70 0.00 6.3 0.41 3.40 0.52 0.02 0.71 0.38 0.70 0.00 6.4 0.36 3.38 0.51 0.02 0.71 0.39 0.69 0.00 6.5 0.32 3.36 0.50 0.02 0.72 0.40 0.68 0.00 rv; 0.281 3.33 0.49 0.02 0.73 0.41 0.67 0.00 U.7 0.25 3.30 0.48 0.02 0.73 0.42 0.66 0.00 68 0.21 3.27 0.48 0.03 0.74 0.43 0.66 0.01 G.9 0.18 3.84 0.47 0.03 0.74 0.44 0.65 0.01 7.0 0.15 , 3.20 0.46 0.03 0.75 0.45 0.64 0.01 7.1 0.12 3.17 0.45 0.03 0.75 0.46 0.63 0.01 7.2 0.10 3.13 0.44 0.04 0.76 0.47 0.62 0.02 7.3 0.08 3.09 0.43 0.04 0.76 0.48 0.62 0.02 7.4 0.06 3.05 0.42 0.05 0.77 0.49 0.61 0.03 7.5 0.04 3.00 0.41 0.05 0.77 0.50 O.GO 0.03 7.6 0.03 2.95 0.40 0.06 0.77 0.51 0.59 0.04 7.7 0.02 2.90 0.39 0.06 0.78 0.52 0.58 0.04 7.8 0.01 2.85 0.39 0.07 0.78 0.53 0.57 0.05 7.9 0.00 2.80 0.38 0.07 0.79 0.54 0.56 0.05 8.0 0.00 2.74 0.37 0.08 0.79 0.55 0.55 0.06 8.1 0.00 2.68 0.36 0.09 0.79 0.5" 0.54 0.07 8.2 0.01 2.62 0.35 0.10 0.80 0.57 0.53 0.07 8.3 0.02 2.56 0.35 0.10 0.80 0.58 0.52 0.08 8.4 0.03 2.50 0.34 0.11 0.80 0.59 0.51 0.08 8.5 0.04 2.44 0.33 0.11 0.80 0.60 0.50 0.09 8.6 0.06 2.37 0.32 0.12 0.80 0.61 0.49 0.10 8.7 0.08 2.31 0.31 0.12 0.81 0.62 0.48 0.10 8.8 0.10 2.24 0.31 0.13 0.81 0.62 0.47 0.11 8.9 0.12 2.17 0.30 0.13 0.81 0.63 0.46 0.11 9.0 0.15 2.10 0.29 0.14 0.81 0.64 0.45 0.12 9.1 0.18 2.04 0.28 0.15 0.81 0.65 0.44 0.13 9.2 0.21 1.97 0.27 0.15 0.81 0.66 0.43 0.14 9.3 0.25 1.90 0.27 0.16 0.82 0.66 0.42 0.14 9.4 0.28 1.83 0.26 0.16 0.82 0.67 0.41 0.15 9.5 0.32 1.76 0.25 0.17 0.82 0.68 0.40 0.16 9.6 0.36 1.69 0.24 0.18 0.82 0.69 0.39 0.17 9.7 0.41 1.62 0.23 0.19 0.82 0.70 0.38 0.18 9.8 0.45 1.55 0.23 0.19 0.82 0.70 0.37 0.19 9.9 0.50 1.48 0.22 0.20 0.82 0.71 0.36 0.20 10.0 0.55 1.41 0.21 0.21 0.82 0.72 0.35 0.21 255 TABLES XVr.-XX" TABLES AKGUMENTS XVI". 11. XVIII". 13. XIX'. 14. XX". Days . O 10 20 0 0 10 20 O 1O Days 0.0 0.00 6.46 6.34 1.68 d.oo 6.12 6.14 6.03 6.50 0.1 0.00 0.47 0.33 1.71 0.00 0.12 0.14 0.03 0.49 0.2 0.00 0.47 0.32 1.74 0.00 0.12 0.13 0.02 0.48 0.3 0.00 0.48 0.32 1.76 0.00 0.12 0.13 0.02 0.47 0.4 0.00 0.48 0.31 1.78 0.00 0.12 0.13 0.01 0.46 0.5 0.00 0.49 0.30 1.80 0.00 0.12 0.13 0.01 0.45 0.6 0.00 0.49 0.29 1.81 0.00 0.13 0.13 0.01 0.44 0.7 0.00 0.50 0.29 1.82 0.00 0.13 0.12 0.01 0.42 0.8 0.00 0.50 0.28 1.83 0.00 0.13 0.12 0.00 0.41 0.9 0.00 0.51 0.28 1.84 0.00 0.13 0.12 0.00 0.39 .0 0.00 0.51 0.27 1.84 0.00 0.13 0.12 0.00 0.38 .1 0.00 0.51 0.26 1.83 0.00 0.13 0.12 0.00 0.37 .2 0.00 0.52 0.26 .83 0.00 0.14 0.12 0.00 0.36 .3 0.01 0.52 0.25 .82 0.00 0.14 0.12 0.01 0.34 .4 0.01 0.53 0.25 .81 0.00 0.14 0.12 0.01 0.33 1.5 0.01 053 0.24 .79 0.00 0.14 0.12 0.01 0.32 1.6 0.01 0.53 0.23 .77 0.00 0.14 0.11 0.02 0.31 1.7 0.01 0.5 1 0.22 .74 0.00 0.14 0.11 0.02 0.29 1.8 0.02 0.54 0.22 .71 0.00 0.15 0.11 0.03 0.28 1.9 0.02 0.55 0.21 .68 0.00 0.15 0.11 0.03 0.26 2.0 0.02 0.55 0.20 1.65 0.00 0.15 0.11 0.04 0.25 2.1 0.02 0.55 0.19 1.61 0.00 0.15 0.11 0.05 0.24 2.2 0.02 0.55 0.19 1.57 0.00 0.15 0.10 0.06 0.23 2.3 0.03 0.56 0.18 1.53 0.00 0.15 0.10 0.06 0.21 2.4 0.03 0.56 0.18 1.49 0.00 0.15 0.10 0.07 0.20 2.5 0.03 0.56 0.17 1.45 0.01 0.15 0.10 0.08 0.19 2.6 0.03 0.56 0.16 1.40 0.01 0.15 0.10 0.09 0.18 2.7 0.04 0.56 0.16 1.35 0.01 0.15 0.10 0.10 0.17 2.8 0.04 0.57 0.15 1.30 0.01 0.15 0.09 0.11 0.15 2.9 0.05 0.57 0.15 1.24 0.01 0.15 0.09 0.12 0.14 3.0 0.05 0.57 0.14 1.19 0.01 0.15 0.09 0.13 0.13 3.1 0.05 0.57 0.13 1.13 0.01 0.15 0.09 0.14 0.12 3.2 0.06 0.57 0.13 1.08 0.01 0.15 0.09 0.15 0.11 3.3 0.06 0.58 0.12 1.02 0.01 , 0.15 0.08 0.16 0.10 3.4 0.07 0.58 0.12 0.97 0.01 0.15 0.08 0.18 0.09 3.5 0.07 0.58 0.11 0.91 0.01 0.15 0.08 0.19 0.08 3.6 0.07 0.58 0.11 0.85 0.02 0.15 0.08 0.20 0.07 3.7 0.08 0.58 0.10 0.80 0.02 0.15 0.07 0.21 0.06 3.8 0.08 0.58 0.10 0.74 0.02 0.15 0.07 0.23 0.06 3.9 0.09 0.58 0.09 ' 0.69 0.02 0.15 0.07 0.24 0.05 4.0 0.09 0.58 0.09 0.63 0.02 0.16 0.06 0.25 0.04 4.1 0.09 0.58 0.09 0.58 0.02 0.16 0.06 0.26 0.03 4.2 0.10 0.58 0.08 0.52 0.02 0.16 0.06 0.28 0.03 4.3 0.10 0.58 0.08 0.47 0.03 0.16 0.06 0.29 0.02 4.4 0.11 0.58 0.07 0.42 0.03 0.16 0.05 0.31 0.02 4.5 0.11 0.58 0.07 0.37 0.03 0.16 0.05 0.32 0.01 u; 0 12 0.58 0.07 0.33 0.03 0.16 0.05 0.83 0.01 4.7 0.12 0.58 0.06 0.29 0.03 0.16 0.05 0.34 0.01 4.8 0.13 0.57 0.06 0.25 0.03 0.16 0.04 0.36 0.00 l.'.i 0.13 0.57 0.05 0.21 0.04 0.16 0.04 0.37 0.00 5.0 0.14 0.57 0.05 0.17 0.04 0.16 0.04 0.38 0.00 256 TABLES XVI'.- XX'. TABLES ARGUMENTS XVI". 11. XVIII". 13. XIX". 14. XX". 15. Days. O 1O 2O O O 1O '-»<» O 10 Days 5.0 0.14 0.57' 0.05 o".17 0.04 0.16 0.04 0.38 0.00 5.1 0.15 0.57 0.05 0.14 0.04 0.16 0.04 0.39 0.00 5.2 0.15 Q.bi 0.04 0.11 0.04 0.16 0.04 0.41 0.00 5.3 0.16 0.56 0.04 0.09 0.04 0.16 0.04 0.42 0.00 5.4 0.16 0.56 0.03 0.07 0.04 0.16 0.04 0.44 0.01 5.5 0.17 0.56 0.03 0.05 0.05 0.16 0.04 0.45 0.01 5.6 0.18 0.56 0.03 0.03 0.05 0.16 0.03 0.46 0.01 5.7 0.18 0.56 0.03 0.02 0.05 0.16 0.03 0.47 0.01 5.8 0.19 0.55 0.02 0.01 0.05 0.16 0.03 0.48 0.02 5.9 0.19 0.55 0.02 0.01 0.05 0.16 0.03 0.49 0.02 6.0 0.20 0.55 0.02 0.00 0.05 0.16 0.03 0.50 0.02 6.1 0.21 0.55 0.02 0.01 0.05 0.16 0.03 0.51 0.03 6.2 0.22 0.54 0.02 0.01 0.06 0.16 0.03 0.52 0.04 6.3 0.22 0.54 0.01 0.02 0.06 0.16 0.02 0.53 0.04 6.4 0.23 0.53 0.01 0.03 0.06 0.16 0.02 0.54 0.05 6.5 0.24 053 0.01 0.05 0.06 0.16 0.02 0.55 0.06 6.6 0.25 0.53 0.01 0.07 0.06 0.16 0.02 0.56 0.07 6.7 0.25 0.52 0.01 0.09 0.06 0.16 0.02 0.57 0.08 6.8 0.26 0.52 0.01 0.11 0.07 0.16 0.01 0.57 0.08 6.9 0.26 0.51 0.00 0.14 0.07 0.16 0.01 0.58 0.09 7.0 0.27 0.51 • 0.00 0.17 0.07 0.16 0.01 0.59 0.10 7.1 0.28 0.51 0.00 0.20 0.07 0.16 0.01 0.59 0.11 7.2 0.28 0.50 0.00 0.24 0.07 0.16 0.01 0.60 0.12 7.3 0.29 0.50 0.00 0.28 0.07 0.16 0.01 0.60 0.13 7.4 0.29 0.49 0.00 0.32 0.07 0.16 0.01 0.61 0.14 7.5 0.30 0.49 0.00 0.37 0.08 0.16 0.01 0.61 0.15 7.6 0.31 0.48 0.00 0.42 0.08 0.16 0.01 0.61 0.16 7.7 0.32 0.48 0.00 0.47 0.08 0.16 0.01 . 0.61 0.17 7.8 0.32 0.47 0.00 0.52 0.08 0.16 0.0 1 0.62 0.19 7.9 0.33 0.47 0.00 0.58 0.08 0.16 0.01 0.62 0.20 8.0 0.34 0.46 0.00 0.63 0.08 0.16 0.01 0.62 0.21 8.1 0.35 0.45 0.00 0.69 0.08 0.16 0.01 0.62 0.22 8.2 0.35 0.45 0.00 0.74 0.09 0.16 0.01 0.62 0.24 8.3 0.36 0.44 0.01 0.80 O.Q9 0.16 0.01 0.61 0.25 8.4 0.36 0.44 0.01 0.85 0.09 0.16 0.01 0.61 0.27 8.5 0.37 0.43 0.01 0.91 0.09 0.16 0.00 0.61 0.28 8.6 0.38 0.42 0.01 0.97 0.09 0.15 0.00 - 0.61 0.29 8.7 0.38 0.42 0.01 1.02 0.09 0.15 0.00 0.60 0.31 8.8 0.39 0.41 0.02 1.08 0.10 0.15 0.00 0.60 0.32 8.9 0.39 0.41 0.02 1.13 0.10 0.15 0.00 0.59 0.34 9.0 0.40 0.40 0.02 1.19 0.10 0.15 0.00 0.59 0.35 9.1 0.41 0.39 0.02 1.24 0.10 0.15 0.00 0.58 0.36 9.2 0.41 0.39 0.03 1.30 0.10 0.15 0.00 0.57 0.37 9.3 0.42 0.38 0.03 1.35 0.10 0.15 0.00 0.57 0.39 9.4 0.42 0.38 0.03 1.40 0.11 0.15 0.00 0.56 0.40 9.5 0.43 0.37 0.03 1.45 0.11 0.15 0.00 0.55 0.41 9.6 044 0.36 0.04 1.50 0.11 0.14 0.00 0.54 0.42 9.7 0.44 0.36 0.04 1.54 0.11 0.14 0.00 0.53 0.43 9.8 0.45 0.35 0.04 1.58 0.11 0.14 0.00 0.52 0.45 9.9 0.45 0.35 0.05 1.62 0.12 0.14 0.00 0.51 0.46 10.0 0.46 0.34 0.05 1.65 0.12 0.14 0.00 0.50 0.47 257 TABLES xxr.-xxr. TABLES ARGUMENTS XXI". 16. XXII". 17. xxm". 18. XXIV. 19. XXV." 20. Days . O 10 O 10 30 O o 10 SO o 10 0.0 0.18 1.15 0.12 0.03 0.05 0.70 0.00 0.09 0.04 0.22 0.04 0.1 0.14 .20 0.12 0.03 0.05 0.70 0.00 0.09 0.04 0.22 0.04 0.2 0.11 .25 0.12 0.03 0.05 0.70 0.00 0.09 0.04 0.22 0.05 0.3 0.09 .30 0.12 0.03 0.05 0.69 0.00 0.09 0.03 0.22 0.05 0.4 0.07 .34 0.1-2 0.03 0.05 0.69 0.00 0.09 0.03 0.22 0.06 0.5 0.06 .39 0.12 0.03 0.06 0.69 0.00 0.10 0.03 0.22 0.06 0.6 0.05 .43 0.12 0.02 0.06 0.68 0.00 0.10 0.03 0.22 0.06 0.7 0.04 .46 0.12 0.02 0.06 0.67 0.00 0.10 0.03 0.22 0.07 0.8 0.05 .49 0.12 0.02 0.06 0.66 0.00 0.10 0.03 0.22 0.07 0.9 0.06 1.51 0.12 0.02 0.06 0.65 0.00 0.10 0.02 0.22 0.08 1.0 0.07 1.53 0.12 0.02 0.06 0.64 0.00 0.10 0.02 0.22 0.08 1.1 0.09 1.54 0.12 0.02 0.06 0.63 0.00 0.10 0.02 0.22 0.09 1.2 0.11 1.55 0.12 0.02 0.06 0.62 0.00 0.10 0.02 0.22 0.09 1.3 0.14 1.56 0.12 0.02 0.07 0.60 0.00 0.10 0.02 0.22 0.10 1.4 0.17 1.55 0.12 0.02 0.07 0.59 0.00 0.10 0.02 0.22 0.10 .5 0.21 1.54 0.12 0.02 0.07 0.57 0.00 0.10 0.02 0.22 0.11 .6 0.25 1.53 0.11 0.01 0.07 0.55 0.00 0.10 0.01 0.22 0.11 .7 0.30 1.51 0.11 0.01 0.07 0.53 0.00 0.10 0.01 0.22 0.12 .8 0.35 1.48 0.11 0.01 0.08 0.51 0.00 0.10 0.01 0.21 0.12 .9 0.40 1.45 0.11 0.01 0.08 0.49 0.00 0.10 0.01 0.21 0.13 2.0 0.45 1.42 0.11 0.01 0.08 0.47 0.00 0.10 0.01 0.21 0.13 2.1 0.51 1.38 0.11 0.01 0.08 0.45 0.00 0.10 0.01 0.21 0.13 2.2 0.56 1.33 0.11 0.01 0.08 0.43 0.00 0.10 0.01 0.21 0.14 2.3 0.62 1.28 0.11 0.01 0.08 0.40 0.00 0.10 0.01 0.20 0.14 2.4 068 1.23 0.11 0.01 0.08 0.38 0.00 0.10 0.01 0.20 0.15 2.5 0.74 1.18 0.11 0.01 0.09 0.36 0.00 0.10 0.00 0.20 0.15 2.6 0.81 1.12 0.11 0.00 0.09 0.34 0.00 0.10 0.00 0.20 0.16 2.7 0.87 1.06 0.11 0.00 0.09 0.32 0.00 0.10 0.00 0.19 0.16 2.8 0.93 1.00 0.11 0.00 0.09 0.29 0.00 0.10 0.00 0.19 0.17 2.9 0.98 0.94 0.11 0.00 0.09 0.27 0.00 0.10 0.00 0.18 0.17 3.0 1.03 0.88 0.11 0.00 0.09 0.25 0.00 0.10 0.00 0.18 0.18 3.1 1.08 0.82 0.11 0.00 0.09 0.23 0.00 0.10 0.00 0.17 0.18 3.2 1.13 0.75 0.11 0.00 0.0'J 0.21 0.00 0.10 0.00 0.17 0.19 3.3 1.18 0.69 0.11 0.00 0.09 0.19 0.00 0.10 0.00 0.16 0.19 3.4 1.22 0.62 0.11 0.00 0.09 0.17 0.00 0.10 0.00 0.16 0.20 3.5 1.26 0.56 0.11 0.00 0.10 0.15 0.01 010 0.00 0.15 0.20 3.6 1.29 0.50 0.10 0.00 0.10 0.13 0.01 0.10 0.00 0.15 0.20 3.7 1.32 0.44 0.10 0.00 0.10 0.11 0.01 0.10 0.00 0.14 0.20 3.8 1.35 0.39 0.10 0.00 0.10 0.10 0.01 0.10 0.00 0.14 0.21 . 3.9 1.37 0.34 0.10 0.00 0.10 0.08 0.01 0.10 0.00 0.13 0.21 4.0 1.39 0.29 0.10 0.00 0.10 0.07 0.01 0.10 0.00 0.13 0.21 4.1 1.40 0.25 0.10 0.00 0.10 0.05 0.01 0.10 0.00 0.13 0.21 4.2 1.40 0.21 0.10 0.00 0.10 0.04 0.01 0.10 0.00 0.12 0.21 4.3 1.41 0.17 0.10 0.00 0.10 0.03 0.01 0.10 0.00 0.12 0.22 4.4 1.41 o.ia 0.10 0.00 0.10 0.02 0.01 0.10 0.00 0.11 0.22 4.5 1.40 0.10 0.10 0.00 0.10 0.01 0.01 0.10 0.00 0.11 0.22 4.6 1.39 0.08 0.09 0.00 0.11 0.01 0.02 0.10 0.00 0.10 0.22 4.7 l.:i7 0.07 0.09 0.00 0.11 0.01 0.02 0.10 0.00 0.10 0.22 4.8 l.:ti 0.06 0.09 0.00 0.11 0.00 0.02 0.10 0.00 0.09 0.22 4.9 1.31 0.05 0.09 0.00 0.11 0.00 0.02 0.10 0.00 0.09 0.22 5.0 1.28 0.05 0.09 0.00 0.11 0.00 0.02 0.10 0.00 0.08 0.22 258 TABLES XXI". -XXV. TABLES , XXI". ARGUMENTS 16. XXII". 17. XXIII". 18. XXIV". 19. XXV." 20. Days. O 1O o 10 so O O 1O 20 0 10 Days. s:a 1.28 0.05 0.09 0.00 II 0.11 0.00 0.02 0.10 0.00 0.08 0.22 5.1 1.25 0.05 0.09! 0.00 0.11 0.00 0.02 0.10 0.00 0.08 0.22 5.2 1.21 0.06 0.09! 0.00 0.11 0.00 0.03 0.10 0.00 0.07 0.22 5.3 1.17 0.07 0.09 0.00 0.11 0.01 0.03 0.09 0.00 0.07 022 5.4 1.12 0.09 0.09 0.00 0.11 0.01 0.03 0.09 0.00 0.06 0.22 5.5 1.07 0.12 0.08 0.01 0.11 0.01 0.03 0.09 0.00 0.06 0.22 5.6 1.02 0.15 0.08 0.01 0.11 0.02 0.03 0.09 0.00 0.06 0.22 5.7 0.97 0.19 0.08 0.01 0.11 0.03 0.04 0.09 0.00 0.05 0.22 5.8 0.91 0.23 0.08 0.01 0.11 0.04 0.04 0.09 0.00 0.05 0.22 5.9 0.85 0.27 0.08 0.01 0.11 0.06 0.04 0.09 0.00 0.04 0.22 6.0 0.80 0.32 0.08 0.01 0.11 0.07 0.04 0.09 0.00 0.04 0.22 (U 0.75 0.37 0.08 0.01 0.11 0.08 0.04 0.09 0.00 0.04 0.22 6.2 0.69 0.42 0.08 0.01 0.11 0.10 0.04 0.09 0.00 0.03 0.22 c.:$ 0.63 0.48 0.07 0.01 0.11 0.11 0.04 0.09 0.00 0.03 0.21 6,4 0.58 0.53 0.07 0.01 0.11 0.13 0.04 0.08 0.00 0.02 0.21 6.5 0.53 0.59 0.07 0.01 0.11 0.15 0.05 0.08 0.00 0.02 0.21 8.8 0.48 0.65 0.07 0.02 0.12 0.17 0.05 0.08 0.00 0.02 0.21 6.7 0.44 0.71 0.07 0.02 0.12 0.19 0.05 0.08 0.00 0.02 0.20 6.8 0.40 0.77 0.07 0.02 0.12 0.21 005 0.08 0.00 0.01 0.20 6.9 0.36 0.84 0.06 0.02 0.12 0.23 0.05 0.08 0.00 0.01 0.19 7.0 0.32 0.90 0.06 0.02 0.12 0.25 0.05 0.08 0.00 0.01 0.19 7.1 0.29 0.96 0.06 0.02 0.12 0.27 0.05 0.08 0.00 0.01 0.19 7.2 0.26 1.01 0.06 0.02 0.12 0.29 0.06 0.08 0.00 0.01 0.18 7.3 0.23 1.Q5 0.06 0.02 0.12 0.32 0.06 0.08 0.00 0.00 0.18 7.4 0.21 1.10 0.06 0.02 0.12 0.34 0.06 0.08 0,00 0.00 0.17 7.5 0.20 1.15 0.06 0.02 0.12 0.36 0.06 0.07 0.00 0.00 0.17 7.6 0.19 1.20 0.05 0.03 0.12 0.38 0.06 0.07 0.00 0.00 0.16 7.7 0.19 1.24 0.05 0.03 0.12 0.40 0.06 0.07 0.00 0.00 0.16 7.8 0.19 1.27 0.05 0.03 0.12 0.43 0.07 0.07 0.01 0.00 0.15 7.9 0.20 1.30 0.05 0.03 0.12 0.45 0.07 0.07 0.01 0.00 0.15 8.0 0.21 1.33 0.05 0.03 0.12 0.47 0.07 0.07 0.01 . 0.00 0.14 8.1 0.23 1.36 0.05 o.o;j 0.12 0.49 0.07 0.07 0.01 0.00 0.14 8.2 0.25 1.38 0.05 0.03 0.12 0.51 0.07 0.07 0.01 0.00 0.13 8.3 0.28 1.39 005 0.03 0.12 0.53 0.07 0.06 0.01 0.00 0.13 8.4 0.31 1.40 0.05 0.03 0.12 '0.55 0.07 0.06 0.01 0.00 0.12 8.5 0.34 1.40 0.05 0.03 0.12 0.57 0.07 006 0.01 0.00 0.12 8.6 0.38 1.41 0.04 0.04 0.12 0.59 0.08 0.06 0.01 0.00 0.12 8.7 0.42 1.41 0.04 0.04 0.12 0.60 0.08 0.06 0.01 0.00 0.11 8.8 0.47 1.40 0.04 0.04 0.11 0.62 0.08 0.05 0.02 0.01 0.11 8.9 0.52 1.38 0.04 0.04 0.11 0.63 0.08 0.05 0.02 0.01 0.10 9.0 0.57 1.36 0.04 0.04 0.11 0.64 0.08 0.05 0.02 0.01 0.10 9.1 0.62 1.33 0.04 0.04 0.11 0.65 0.08 0.05 0.02 0.01 0.09 9.2 0.68 1.30 0.04 0.04 0.11 0.66 0.08 0.05 0.02 0.01 0.09 9.3 0.74 1.27 0.04 0.04 0.11 0.67 0.08 0.05 0.03 0.02 0.08 9.4 0.80 1.23 0.04 0.04 0.11 0.68 0.08 0.05 0.03 0.02 0.08 9.5 0.86 1.19 0.04 0.04 0.11 0.69 0.08 0.04 0.03 0.02 0.07 9.6 0.91 1.15 0.03 0.05 0.11 0.69 0.09 0.0 i 0.03 0.02 0.07 9.7 0.97 1.10 0.03 0.05 0.11 0.69 0.09 0.01 0.03 0.03 0.06 9.8 1.03 1.05 0.03 0.05 0.11 0.70 0.09 0.04 0.04 0.03 0.06 9.9 1.09 1.00 0.03 0.05 0.11 0.70 0.09 0.04 0.04 0.04 0.05 10.0 1.15 0.95 0.03 0.05 0.11 0.70 0.09 0.04 0.04 0.04 0.05 259 TABLES XXVir.-XXXV. TABLES ARGUMENTS XXVII". 22. XXIX". 24. XXX". 25. XXXI". 26. XXXV". 3O. Days O 10 2O 30 O 10 0 0 O 1O Dnv< 0.0 0.14 0.02 0.07 0".12 d.oo 0.11 o".oo 0.28 It 0.11 II 0.10 0.1 0.14 0.02 0.07 0.12 0.00 0.11 0.00 0.28 0.11 0.10 0.2 0.14 0.02 0.07 0.12 0.00 0.10 0.00 0.28 • o.n 0.10 0.3 0.14 0.03 0.06 0.13 0.00 0.10 0.00 0.28 0. 2 0.11 0.4 0.14 0.03 0.06 0.13 0.00 0.09 0.00 0.27 0. 2 0.11 0.5 0.14 0.03 0.06 0.13 0.00 0.09 0.00 0.27 0. 2 0.11 0.6 0.14 0.03 0.05 0.13 0.00 0.09 0.00 0.26 0. 2 0.11 0.7 0.14 0.03 0.05 0.13 0.00 0.08 0.00 0.25 0. 3 0.11 0.8 0.14 0.04 0.05 0.14 0.00 0.08 0.01 0.24 0. 3 0.12 0.9 0.14 0.04 0.04 0.14 0.00 0.07 0.01 0.23 0.14 0.12 1.0 0.14 0.04 0.04 0.14 0.00 0.07 0.01 0.21 0.14 0.12 1.1 0.14 0.05 0.04 0.14 0.00 0.07 0.01 0.20 0.14 0.12 1.2 0.14 0.05 0.04 0.14 0.00 0.06 0.01 0.19 0.15 0.13 1.3 0.13 0.05 0.03 0.14 0.01 0.06 0.02 0.18 0.15 0.13 1.4 0.13 0.06 0.03 0.14 0.01 0.05 0.02 0.16 0.16 0.14 1.5 0.13 0.06 0.03 0.14 0.01 0.05 0.02 0.14 0.16 0.14 1.6 0.13 0.06 0.03 0.14 0.01 0.05 0.03 0.13 0.16 0.14 1.7 0.13 0.06 0.03 0.14 0.01 0.04 0.03 0.11 0.17 0.15 1.8 0.12 0.07 0.02 0.14 0.02 0.04 0.04 0.10 0.17 0.15 1.9 0.12 0.07 0.02 0.14 0.02 0.03 0.04 0.09 0.18 0.16 2.0 0.12 0.07 0.02 0.14 0.02 0.03 0.05 0.08 0.18 0.16 2.1 0.12 0.07 0.02 0.14 0.02 0.03 0.05 0.06 0.19 0.17 2.2 0.12 0.07 0.02 0.14 0.03 0.02 0.06 0.05 0.19 0.17 2.3 0.11 0.08 0.01 0.14 0.03 0.02 0.06 0.04 0.20 0.18 2.4 0.11 0.08 0.01 0.14 0.03 0.01 0.07 0.03 0.20 0.18 2.5 0.11 0.08 0.01 0.14 0.04 0.01 0.07 0.02 0.21 0.19 2.6 0.11 0.09 0.01 0.14 0.04 0.01 0.08 0.02 0.21 0.19 2.7 0.11 0.09 0.01 0.14 0.05 0.01 0.08 0.01 0.22 0.20 2.8 0.10 0.09 0.00 0.14 0.05 0.00 0.09 0.01 0.22 0.20 2.9 0.10 0.10 0.00 0.14 0.06 0.00 0.09 0.00 0.23 0.21 3.0 o.ro 0.10 0.00 0.14 0.06 0.00 0.10 0.00 0.23 0.21 3.1 0.10 0.10 0.00 0.14 0.07 0.00 0.10 0.00 0.23 0.21 3.2 0.09 0.10 0.00 0.14 0.07 0.00 0.11 0.01 0.24 0.22 3.3 0.09 0.11 0.00 0.13 0.08 0.00 0.11 0.01 0.24 0.22 3.4 0.09 0.11 0.00 0.13 0.08 0.00 0.12 0.02 0.25 0.23 3.5 0.08 0.11 0.00 0.13 0.09 0.00 0.12 0.02 0.25 0.23 3.6 0.08 0.11 0.00 0.13 0.09 0.00 0.12 0.03 0.25 0.23 3.7 0.08 0.11 0.00 0.13 0.10 0.00 0.13 0.04 0.26 0.24 3.8 0.07 0.12 0.00 0.12 0.10 0.00 0.13 0.05 0.26 0.24 3.9 0.07 0.12 0.00 0.12 0.11 0.00 0.14 0.06 0.27 0.25 4.0 0.07 0.12 0.00 0.12 0.11 0.00 0.14 0.08 0.27 0.25 4.1 0.06 0.12 0.00 0.12 0.12 0.00 0.14 0.09 0.27 0.25 4.2 0.06 0.12 0.00 0.12 0.12 0.00 0.15 0.10 0.27 0.26 4.3 0.06 0.13 0.00 0.11 0.13 0.00 0.15 0.11 0.28 0.26 4.4 0.05 0.13 0.00 0.11 0.13 0.00 0.16 0.13 0.28 0.27 4.5 0.05 0.13 0.00 0.11 0.14 0.00 0.16 0.14 0.28 0.27 4.6 0.05 0.13 0.00 0.11 0.14 0.01 0.16 0.16 0.28 0.27 4.7 0.05 0.18 0.00 0.11 0.15 0.01 0.16 0.17 0.28 0.27 4.8 0.0 1 0.14 0.00 0.10 0.15 0.01 0.16 0.19 0.28 0.28 4.9 0.01 d.l I 0.00 0.10 0.16 0.01 0.16 0.20 0.28 0.28 5.0 0.04 0.14 0.00 0.10 0.16 0.01 0.16 0.21 0.28 0.28 260 TABLES XXVII'. - XXXV". TABLES ' ARGUMENTS XXVII' 22. XXIX". 24. XXX". XXXI". XXXV". 25. 26. 30. Days. O 1O 2O SO 0 10 0 O 0 10 Davs. 5.0 0.04 II 0.14 0.00 0.10 0.16 0.01 0".16 0.21 0.28 0.28 5.1 0.04 0.14 0.00 0.10 0.16 0.02 0.16 0.23 0.28 0.28 5.2 0.04 0.14 0.00 0.10 0.17 0.02 0.16 0.24 0.28 0.28 5.3 0.03 0.14 0.01 0.09 0.17 0.02 0.16 0.25 0.27 0.28 5.4 0.03 0.14 0.01 0.09 0.18 0.02 0.16 0.26 0.27 0.28 5.5 0.03 0.14 0.01 0.09 0.18 0.03 0.16 0.27 0.27 0.28 5.6 0.03 0.14 0.01 0.09 0.18 0.03 0.16 0.27 0.27 0.28 5.7 0.03 0.14 0.01 0.08 0.18 0.03 0.15 0.28 0.26 0.28 5.8 0.02 0.14 0.02 0.08 0.19 0.04 0.15 0.28 0.26 0.27 5.9 0.02 0.14 0.02 0.08 0.19 0.04 0.14 0.28 0.25 0.27 6.0 0.02 0.14 0.02 0.07 0.19 0.05 0.14 0.28 0.25 0.27 6.1 0.02 0.14 0.02 0.07 0.19 0.05 0.14 0.28 0.25 0.27 6.2 0.02 0.14 0.02 0.07 0.19 0.06 0.13 0.27 0.24 0.26 6.3 0.01 0.14 0.03 0.06 0.20 0.06 0.13 ' 0.26 0.24 0.26 6.4 0.01 0.14 0.03 0.06 0.20 0.07 0.12 0.25 0.23 0.25 6.5 0.01 0.14 0.03 0.06 0.20 0.07 0.12 0.25 0.23 0.25 6.6 0.01 0.14 0.03 0.06 0.20 0.07 0.12 0.24 0.23 0.25 6.7 0.01 0.14 0.03 0.05 0.20 0.08 0.11 0.23 0.22 0.24 6.8 0.00 0.14 0.04 0.05 0.20 0.08' 0.11 0.22 0.22 0.24 6.9 0.00 0.14 0.04 0.05 0.20 0.09 0.10 0.21 0.21 0.23 7.0 0.00 0.14 0.04 0.04 0.20 0.10 0.10 0.19 0.21 0.23 7.1 0.00 0.14 0.04 0.04 0.20 0.10 0.09 0.18 0.21 0.23 7.2 0.00 0.14 0.05 0.04 0.20 0.11 0.09 0.16 0.20 0.22 7.3 0.00 0.13 0.05 0.03 0.20 0.11 0.08 0.14 0.20 0.22 7.4 0.00 0.13 0.05 0.03 0.20 0.12 0.08 0.13 0.19 0.21 7.5 0.00 0.13 0.06 0.03 0.20 0.12 0.07 0.11 0.19 0.21 7.6 0.00 0.13 0.06 0.03 0.20 0.12 0.07 0.10 0.16 0.20 7.7 0.00 0.13 0.06 0.03 0.20 0.13 0.06 0.09 0.18 0.20 7.8 0.00 0.12 0.07 0.02 0.19 0.13 0.06 0.08 0.17 0.19 7.9 0.00 0.12 0.07 0.02 0.19 0.14 0.05 0.06 0.17 0.19 8.0 0.00 0.12 0.07 0.02 0.19 0.15 0.05 0.05 0.16 0.18 8.1 0.00 0.12 0.071 0.02 0.19 0.15 0.04 0.0 1 0.16 0.18 8.2 0.00 0.12 0.07 0.02 0.19 0.16 0.04 0.03 0.15 0.17 8.3 0.00 0.11 0.08 0.01 0.18 0.16 0.03 0.02 0.15 0.17 8.4 0.00 0.11 0.08 0.01 0.18 0.17 0.03 0.02 0.14 0.16 8.5 0.00 0.11 0.08 0.01 0.18 0.17 0.02 0.01 0.14 0.16 8.6 0.00 0.11 0.09 0.01 0.18 0.17 0.02 0.01 0.14 0.16 8.7 0.00 0.11 0.09 0.01 0.17 0.17 0.02 0.00 0.13 0.15 8.8 0.00 0.10 0.09 0.00 0.17 0.18 0.01 0.00 0.13 0.15 8.9 0.00 0.10 0.10 0.00 0.16 0.18 0.01 0.00 0.12 0.14 9.0 0.00 0.10 0.10 0.00 0.16 0.18 0.01 0.01 0.12 0.14 9.1 0.00 0.10 0.10 0.00 0.16 0.18 0.01 0.01 0.12 0.14 9.2 0.00 0.09 0.10 0.00 0.15 0.19 0.01 0.02 0.12 0.13 9.3 0.01 0.09 0.11 0.00 0.15 0.19 0.00 0.02 0.11 0.13 9.4 0.01 0.09 0.11 0.00 0.14 0.19 0.00 0.03 0.11 0.12 9.5 0.01 0.08 0.11 0.00 0.14 0.19 0.00 0.04 0.11 0.12 9.6 0.01 0.08 0.11 0.00 0.13 0.19 0.00 0.05 0.11 0.12 9.7 0.01 0.08 0.11 0.00 0.13 0.20 0.00 0.06 0.11 0.12 9.8 0.02 0.07 0.12 0.00 0.12 0.20 0.00 0.08 0.10 0.11 9.9 0.02 0.07 0.12 0.00 0.12 0.20 0.00 0.09 0.10 0.11 10.0 0.02 0.07 0.12 0.00 0.11 0.20 0.00 0.10 0.10 0.11 261 TABLES VI.1*- XII.1 TABLES ARGUMENTS VI." 1. 2. VIII.'7- 3. 7. Days. O 1O 2O O 10 2O 30 0 10 20 O Days. 0.0 0.24 0.76 0.46 0.00 0.04 0.05 0.01 6.28 0.08 0.54 0.01 0.1 0.24 0.76 0.45 0.00 0.04 0.05 0.01 0.30 0.07 0.53 0.00 0.2 0.24 0.77 0.45 0.00 0.04 0.05 0.01 0.31 0.06 0.52 0.00 0.3 0.23 0.77 0.45 0.00 0.04 0.05 0.01 0.32 0.06 0.52 0.00 0.4 0.22 0.77 0.45 0.00 0.-04 0.05 0.01 0.34 0.05 0.51 0.01 0.5 0.22 0.77 0.45 0.00 0.04 0.05 0.01 0.35 0.04 0.50 0.01 0.6 0.21 0.77 0.45 0.00 0.05 0.05 0.00 0.37 0.03 0.49 0.01 0.7 0.21 0.77 0.45 0.00 0.05 0.05 0.00 0.38 0.03 0.48 0.01 0.8 0.20 0.77 0.45 0.00 0.05 0.05 0.00 0.39 0.02 0.47 0.02 0.9 0.19 0.77 0.45 0.00 0.05 0.05 0.00 0.41 0.02 0.46 0.02 1.0 0.19 0.77 0.45 0.00 0.05 0.05 0.00 0.42 0.01 0.45 0.02 1.1 0.18 0.77 0.44 0.00 0.05 0.04 0.00 0.44 0.01 0.44 0.03 1.2 0.18 0.77 0.44 0.00 0.05 0.04 0.00 045 0.01 0.43 0.03 1.3 0.17 0.77 0.44 0.00 0.05 0.04 0.00 0.46 0.00 0.42 0.04 1.4 0.17 0.77 0.44 0.00 0.05 0.04 0.00 0.47 0.00 0.41 0.04 1.5 0.16 0.77 0.44 0.00 0.05 0.04 0.00 0.49 0.00 0.40 0.05 1.6 0.16 0.76 0.44 0.00 0.05 0.04 0.00 0.50 0.00 0.39 0.06 1.7 0.15 0.76 0.44 0.00 0.05 0.04 0.00 0.51 0.00 0.38 0.06 1.8 0.15 0.76 0.44 0.00 0.05 0.04 0.00 0.52 0.00 0.36 0.07 1.9 0.15 0.76 0.44 0.00 0.05 0.04 0.00 0.53 0.00 0.35 0.07 2.0 0.15 0.75 0.44 0.00 0.05 0.04 0.00 0.54 0.00 0.34 O.OS 2.1 0.14 0.75 0.43 0.00 0.05 0.01 0.00 0.55 0.00 0.33 0.09 2.2 0.14 0.74 0.43 0.00 0.05 0.04 0.00 0.56 0.00 0.32 0.10 2.3 0.14 0.74 0.43 0.00 0.05 0.04 0.00 0.57 0.01 0.31 0.11 2.4 0.14 0.73 0.43 0.00 0.05 0.04 0.00 0.57 0.01 0.30 0.12 2.5 0.14 0.73 0.43 0.00 0.05 0.04 0.00 0.58 0.01 0.29 0.13 2.6 0.13 0.72 0.42 0.00 0.05 0.03 0.00 0.58 0.02 0.28 0.14 2.7 0.13 0.72 0.42 0.00 0.05 0.03 0.00 0.59 0.03 0.27 0.15 2.8 0.13 0.71 0.42 0.00 0.05 0.03 0.00 0.59 0.03 0.27 0.16 2.9 0.13 0.71 0.42 0.00 0.05 0.03 0.00 0.60 0.04 0.26 0.16 3.0 0.13 0.70 0.42 0.00 0.05 0.03 0.00 0.60 0.05 0.25 0.17 3.1 0.13 0.70 0.41 0.00 0.06 0.03 0.00 0.61 0.06 0.24 0.1N 3.2 0.13 0.69 0.41 0.01 0.06 0.03 0.00 0.61 007 0.23 0.19 3.3 0.13 0.69 0.41 0.01 006 0.03 0.00 0.61 0.08 0.21 0.19 3.4 0.13 0.68 0.41 0.01 0.06 0.03 0.00 0.61 0.09 0.20 0.20 3.5 0.13 0.68 0.41 • 0.01 0.06 0.03 0.00 0.61 0.10 0.19 0.21 3.6 0.14 0.67 0.40 0.01 0.06 0.03 0.00 0.61 0.11 0.18 0.22 3.7 0.14 0.67 0.40 0.01 0.06 0.03 0.00 0.61 0.12 0.17 0.2? 3.8 0.14 0.66 0.40 0.01 O.Ofi 0.03 0.00 0.61 0.14 0.17 0.23 3.9 0.14 0.65 0.40 0.01 0.06 0.03 0.00 0.61 0.15 0.16 0.24 4.0 0.15 0.65 0.39 0.01 0.06 0.03 0.00 0.60 0.16 0.15 0.25 4.1 0.15 0.64 0.39 0.01 0.06 0.03 0.00 0.60 0.17 0.14 0.25 4.2 0.16 0.64 0.38 0.01 0.06 0.03 0.00 0.60 0.19 0.13 0.26 4.3 0.16 0.63 0.38 0.01 O.Ofi 0.03 0.00 0.60 0.20 0.12 0.26 4.4 0.17 0.63 0.38 0.01 0.06 0.03 0.00 0.59 0.22 0.11 0.27 4.5 0.18 0.6-2 0.38 0.01 0.06 0.03 0.00 0.59 0.23 0.10 0.27 4.6 0.18 0.62 0.37 0.01 000 0.03 0.00 0.58 0.25 0.09 0.27 4.7 0.19 0.61 0.37 0.01 0.06 0.03 0.00 0.58 0.26 0.08 0.27 4.8 0.20 0.61 o.:n 0.01 0.06 0.03 0.00 0.57 0.28 0.08 0.28 4.9 0.21 O.fiO 0.87 0.01 0.06 0.03 0.00 0.56 0.29 0.07 0.28 5.0 0.22, 0.60 0.36 0.01 0.06 0.03 0.00 0.56 0.31 . 0.06 0.28 262 TABLES VI.1*- XII.1 TABLES ARGUMENTS 1. vn.IV- 2. XU.'T- 3. Days. O 1O 2O 0 10 30 30 o 10 20 O Davs. 5.0 II 0.22 0.60 0.36 0.01 6.06 0.03 0.00 0.56 0.31 0.06 0.28 5.1 0.22 0.59 0.36 0.01 0.06 0.03 0.00 0.55 0.33 0.05 0.28 5.2 0.23 0.59 0.35 0.01 0.06 0.02 0.01 0.54 0.34 0.05 0.28 5.3 0.24 0.58 0.35 0.01 0.06 0.02 0.01 0.53 0.36 0.04 0.27 5.4 0.25 0.58 0.35 0.01 0.06 0.02 0.01 0.52 0.37 0.04 0.27 5.5 0.26 0.57 0.34 0.02 0.06 0.02 0.01 0.52 0.39 0.03 0.27 5.6 0.28 0.57 0.34 0.02 0.06 0.02 0.01 0.51 0.40 0.03 0.27 5.7 0.29 0.56 0.33 0.02 0.06 0.02 0.01 0.50 0.42 0.03 0.26 5.8 0.30 0.56 0.33 0.02 0.06 0.02 0.01 0.49 0.43 0.02 0.26 5.9 0.31 0.56 0.33 0.02 0.06 0.02 0.01 0.48 0.45 0.02 0.25 6.0 0.33 0.55 0.32 0.02 0.06 0.02 0.01 0.47 0.46 0.02 0.25 6.1 0.34 0.55 0.32 0.02 0.06 0.02 0.01 0.46 0.47 0.02 0.24 6.2 0.36 0.54 0.31 0.02 0.06 0.02 0.01 0.45 0.48 0.02 0.23 6.3 0.37 0.54 0.31 0.02 0.06 0.02 0.01 0.44 0.50 0.01 0.23 6.4 0.38 0.54 0.30 0.02 0.06 0.02 0.01 0.43 0.51 0.01 0.22 6.5 0.40 0.53 0.30 0.02 0.06 0.02 0.01 0.43 0.52 0.01 0.21 6.6 0.41 0.53 0.29 0.02 0.06 0.02 0.01 0.42 0.53 0.01 0.21 6.7 0.43 0.52 0.29 0.02 0.06 0.02 0.01 0.41 0.54 0.01 0.20 6.8 0.44 0.52 0.28 0.02 0.06 0.02 0.01 0.40 0.55 0.02 0.20 6.9 0.45 0.52 0.28 0.02 0.06 0.02 0.01 0.39 0.56 0.02 0.19 7.0 0.46 0.52 0.27 0.02 0.06 0.02 0.01 0.07 0.57 0.02 0.17 7.1 0.48 0.51 0.27 0.02 0.06 0.02 0.01 0.36 0.58 0.02 0.16 7.2 0.49 0.51 0.26 0.02 0.06 0.02 0.01 0.35 0.59 0.03 0.15 7.3 0.50 0.51 0.26 0.02 0.06 0.02 0.02 0.34 0.59 0.03 0.15 7.4 0.51 0.51 0.25 0.02 0.06 0.02 0.02 0.34 0.60 0.04 0.14 7.5 0.53 0.51 0.25 0.03 0.06 002 0.02 0.33 0.61 0.01 0.13 7.6 0.54 0.50 0.24 0.03 0.06 0.01 0.02 0.32 O.bl 0.05 0.12 7.7 0.56 0.50 0.24 0.03 0.06 0.01 0.02 0.31 0.61 0.06 0.11 7.8 0.57 0.50 0.23 0.03 0.06 0.01 0.02 0.30 0.62 0.06 0.10 7.9 0.58 0.50 0.22 0.03 0.06 0.01 0.02 0.29 0.62 0.07 0.09 8.0 0.59 0.49 0.22 0.03 0.06 0.01 0.02 0.28 0.62 0.08 0.08 8.1 0.61 0.49 0.21 0.03 0.05 0.01 0.02 0.27 O.;l.> 0.09 0.07 8.2 0.62 0.48 0.21 0.03 0.05 0.01 0.02 0.26 0.62 0.10 0.07 8.3 0.63 0.48 0.20 0.03 005 0.01 0.02 0.24 0.62 0.11 0.06 8.4 0.64 0.48 0.20 0.03 0.05 0.01 0.02 0.23 0.62 0.12 0.06 8.5 0.65 0.48 0.19 0.03 0.05 0.01 0.02 0.22 0.62! 0.13 0.05 8.6 0.66 0.47 0.19 0.04 0.05 0.01 0.02 0.21 0.62 0.14 0.04 8.7 0.67 0.47 0.18 0.04 0.05 0.01 0.02 0.20 0.62 0.16 0.04 8.8 0.68 0.47 0.18 0.04 0.05 0.01 0.02 0.19 0.61 0.17 0.03 8.9 0.69 0.47 0.17 0.04 0.05 0.01 0.02 0.18 0.61 0.19 0.03 9.0 0.70 0.47 0.17 0.04 0.05 0.01 0.02 0.17 0.61 0.20 0.02 9.1 0.70 0.47 0.17 0.04 0.05 0.01 0.02 0.16 0.60 0.21 0.02 9.2 0.71 0.47 0.16 0.04 0.05 0.01 0.02 0.15 0.59 0.23 0.02 9.3 0.72 0.47 0.16 0.04 0.05 0.01 0.03 0.14 0.59 0.24 0.01 9.4 0.73 0.47 0.15 0.04 0.05 0.01 0.03 0.13 0.58 0.26 0.01 9.5 0.73 0.47 0.15 0.04 0.05 0.01 0.03 0.12 0.57 0.27 0.01 9.6 0.74 0.46 0.15 0.04 0.05 0.01 0.03 0.11 0.56 0.29 0.01 9.7 0.74 0.46 0.15 0.04 0.05 0.01 0.03 0.10 0.56 0.31 0.00 9.8 0.75 0.46 0.14 0.04 0.05 0.01 0.03 0.10 0.55 0.32 0.00 9.9 0.75 0.46 0.14 0.04 0.05 0.01 0.03 0.09 0.55 0.34 0.00 10.0 0.76 0.46 0.14 0.04 0.05 0.01 0.03 0.08 0.54 0.35 0.01 263 TABLES XIII. TABLES XIII.IT- XVIII.IT- XXI.IT- XIII.IV- XVIII.IV XXI.lr- ARGUMENTS 8. 13. 16. §. 13. 16. Days. O 1O O 0 10 Days. O 1O 0 0 10 M.ii- 0^ 0.00 0.03 0.00 0.06 0.02 Eon 5.0 0.03 0.00 6.04 o'.oo 0.06 0.1 0.00 0.03 0.00 0.06 0.01 5.1 0.03 j 0.00 0.04 0.00 0.06 0.2 0.00 0.03 0.00 0.06 0.01 5.2 0.03J 0.00 0.04 0.01 0.06 0.3 0.00 0.03 0.00 0.06 0.01 5.3 0.03 0.00 0.04 0.01 0.06 0.4 0.00 0.03 0.00 0.06 0.00 5.4 0.03 0.00 0.04 0.02 0.06 0.5 0.00 0.03 0.00 0.06 0.00 5.5 0.03 0.00 0.04 0.02 0.06 0.6 0.00 0.03 0.00 0.06 0.00 5.6 0.03 0.00 0.04 0.02 0.06 0.7 0.00 0.03 0.00 0.06 0.00 5.7 0.031 0.00 0.04 0.02 0.05 0.8 0.00 0.03 0.00 0.06 0.00 5.8 0.03 0.00 0.04 0.03 0.05 0.9 0.00 0.03 0.00 0.06 0.00 5.9 0.03 0.00 0.04 0.03 0.05 1.0 0.00 0.03 0.00 0.06 0.00 6.0 0.03 0.00 0.04 0.03 0.04 1.1 0.00 0.03 0.00 0.06 0.00 61 0.03 0.00 0.04 0.03 0.04 1.2 0.00 0.03 0.00 0.06 0.00 6.2 0.03 0.00 0.04 0.03 0.0 t 1.3 0.00 0.03 0.00 0.06 0.00 &3 0.04 0.00 0.04 0.04 0.03 1.4 0.00 0.02 0.00 0.05 0.00 6.4 0.04 0.00 0.04 0.04 0.03 1.5 0.00 0.02 0.00 0.05 0.00 6.5 0.04 0.00 0.04 0.04 0.03 1.6 0.00 0.02 0.00 0.05 0.00 6.6 0.04 0.00 0.04 0.04 0.03 1.7 0.00 0.02 0.00 0.05 0.00 6.7 0.04 0.00 0.04 0.05 0.02 1.8 0.00 0.02 0.00 0.04 0.00 6.8 0.04 000 0.04 0.05 0.02 1.9 0.00 0.02 0.00 0.04 0.00 6.9 0.04 0.00 0.04 0.05 0.02 2.0 0.00 0.02 0.00 0.04 0.00 7.0 0.04 0.00 0.04 0.06 0.01 2.1 0.01 0.02 0.00 0.04 0.00 7.1 0.04 0.01 0.04 O.Ofi 0.01 2.2 0.01 0.02 0.00 0.04 0.01 7.2 0.04 0.01 0.04 0.06 0.01 2.3 0.01 0.02 0.01 0.03 0.01 7.3 0.04 0.01 0.03 0.06 0.01 2.4 0.01 0.02 0.01 0.03 0.01 7.4 0.04 0.01 0.03 0.06 0.00 2.5 0.01 0.02 0.01 0.03 0.02 7.5 0.04 0.01 0.03 O.Ofi 0.00 2.6 001 0.02 0.01 0.03 0.02 7.6 0.04 0.01 0.03 0.06 0.00 2.7 001| 0.02 0.01 0.02 0.02 7.7 0.04 0.01 0.03 0.06 0.00 2.8 0.01 0.01 0.01 0.02 0.03 7.8 0.04 0.01 0.03 0.06 0.00 2.9 0.01 0.01 0.01 0.01 0.03 7.9 0.04 0.01 0.03 0.06 0.00 3.0 0.01 0.01 0.01 0.01 0.03 8.0 0.04 0.01 0.03 0.06 0.00 3.1 0.02 0.01 0.01 0.01 0.03 8.1 0.04 0.01 0.03 0.06 0.00 3.2 0.02i 0.01 0.01 0.01 0.03 8.2 0.01 0.01 0.03 O.Ofi 0.00 3.3 0.02 0.01 0.02 0.00 0.04 8.3 0.04 0.01 0.02 O.Ofi 0.00 3.4 0.02 0.01 0.02 0.00 0.04 8.4 0.04 0.01 0.02 O.Ofi 0.00 3.5 0.02 0.01 0.02 0.00 0.04 8.5 0.04 0.01 002 0.06 0.00 3.6 0.02 0.01 0.02 0.00 0.04 8.6 0.04 0.02 0.02 0.06 0.00 3.7 0.02 0.01 0.02 0.00 0.05 8.7 0.04 0.02 0.02 0.06 0.00 3.8 0.02 0.01 0.03 0.00 0.05 8.8 0.04 0.02 0.01 0.05 0.00 3.9 0.02 0.01 0.03 0.00 0.05 8.9 0.04 0.02 0.01 0.05 0.00 4.0 0.02 0.01 0.03 0.00 0.06 9.0 0.01 0.02 0.01 0.05 0.00 4.1 0.02 0.01 0.03 0.00 0.06 9.1 0.04 0.02 0.01 0.04 0.00 4.2 0.02 0.01 0.03 0.00 0.06 9.2 0.01 0.02 0.01 0.04 0.00 1.3 0.02 0.00 0.03 0.00 0.06 9.3 0.01 0.02 0.01 0.01 0.01 4.4 0.02 0.00 0.03 0.00 0.06 9.4 0.01 0.02 0.01 0.03 0.01 4.5 0.02 0 00 0.03 0.00 0.06 9.5 0.04 0.02 0.01 0.031 0.0 1 4.6 0.02 0.00 0.03 0.00 0.06 9.6 0.01 0.02 0.01 0.03 0.02 1.7 0.02 0.00 0.08 0.00 0.06 9.7 0.04 0.02 0.01 0.03 002 u 0.03 0.00 0.04 0.00 0.06 9.8 0.03 0.02 0.00 002 0.02 4.9 0.03 0.00 (1.0 I 0.00 0.06 9.9 0.03 0.02 0.00 0.02 0.03 5.0 0.03 0.00 0.01 0.00 0.06 10.0 0.03 0.02 0.00 0.02 0.03 264 LATITUDE TABLES, LXXXIII. - CIX. ARGUMENTS, PERIODS, AMD EQUATIONS. TABLE. ARGUMENT. PERIOD. EQUATION. LXXXIII. 12' 173.31006 846.0 -j-527.5 sin (2t — 2y). LXXXIV. 73" 1095.1653 25.7 — 25.7 sin (2y — 2x). LXXXV. 53 117.5394 22.1 — 22.1 sin (2y — 2t -f z). LXXXVI. 1 27.5546 1.3 — 1.3 sin x. LXXXVII. 70 329.7906 10.3 -f 10.3 sin (2y — 2t — s). LXXXVIII. 4 365.2597 88.9 + 48.9 sin z. LXXX1X. 4 365.2597 6.63— 1.3 cos z. XC. 5' 205.8926 4.7 -f 4.7 sin 2 (* — t) XCI. XCII. 5 78 411.7852 188.2015 1.0 — 1.0 sin (x — t). 15.8 + 15.8 sin (x + y — 2t). XCIII. 73 2190.3306 22.2 -f 14.4 sin (y — x). XCIV. 12"' 346.6021 0.6 — 0.6 sin (y — t). xcv. 79 438.3608 0.2 — 0.2 sin (x — y -f z). XCVI. 80 313.0547 0.1 — 0.1 sin (y + z — *). XCVII. 81 124.2046 0.7 + 0.7 sin (y -j- z + x — 2t). XCVIII. 82 14.8655 1.8 -f 1.8 sin (2t — y + x). XCIX. 83 39.2116 0.7 -j- 0.7 sin (2t — y — 2z). c. 84 19.1434 0.6 — 0.6 sin (2t -\- y). CI. 48 29.9342 0.5 — 0.5 sin (x + t — y). CII. 85 23.5193 0.4 + 0.4 sin (3y — 2t). cm. 86 38.2830 0.3 + 0.3 sin (4* — y — 2x). CIV. 87 14.2082 0.2 — 0.2 sin (2t + y -f x). cv. 88 14.6664 0.2 + 0.2 sin (2t -f y — *). CVI. 89 19.3122 0.2 -(- 0.2 sin (2t — y + 2x). CVII. 90 32.2808 0.2 — 0.2 sin (2t — y). CVIII. 77 6.2 — 6.18 sin 3y. CIX. 9.1 + 2.17 cos «i — 8".80 sin «. 265 TABLE LXXXIII. ARGUMENT 12. Equation = 846".0 -f- 527".5 sin. (2t — 2y). Days < i 14 > 34 > m 1 1 lays. Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Dtft. (i. 0.0 322.38 0.23 333.78 0.46 411.77 1.09 546.22 1.58 d. 10.0 0.1 322.15 0.22 334.24 0.47 412.86 1.09 547.80 1.58 9.9 0.2 321.93 0.21 334.71 0.47 413.95 1.10 549.38 1.58 9.8 0.3 321.72 0.21 335.18 0.48 415.05 1.11 550.96 1.59 9.7 0.4 321.51 0.20 335.66 0.49 416.16 1.11 552.55 1.59 9.6 0.5 321.31 0.19 336.15 0.49 417.27 1.12 554.14 1.59 9.5 0.6 321.12 0.19 336.64 0.50 418.39 1.12 555.73 1.60 9.4 0.7 320.93 0.18 337.14 0.51 419.51 1.13 557.33 1.60 9.3 0.8 320.75 0.17 337.65 0.51 420.64 1.13 558.93 1.61 9.2 0.9 320.58 0.17 338.16 0.52 421.77 1.14 56054 1.61 9.1 .0 320.41 0.16 338.68 0.53 422.91 1.14 562.15 1.61 9.0 .1 320.25 0.15 339.21 0.53 424.05 1.15 563.76 1.62 8.9 .2 320.10 0.15 339.74 0.54 425.20 1.16 565.38 1.62 8.8 .3 319.95 0.14 340.28 0.55 426.36 1.16 567.00 1.62 8.7 .4 319.81 0.13 340.83 0.55 427.52 1.17 568.62 1.63 8.6 .5 319.68 0.12 341.38 0.56 428.69 1.17 570.25 1.63 8.5 .6 319.56 0.12 341.94 0.57 429.86 1.18 571.88 1.61 . 8.4 .7 319.44 0.11 342.51 0.58 431.04 1.18 573.52 1.64 8.3 .8 319.33 0.10 343.09 0.58 432.22 1.19 575.16 1.64 8.2 .9 319.23 0.10 343.67 0.59 433.41 1.20 576.80 1.65 8.1 2.0 319.13 0.09 344.26 0.59 434.61 1.20 578.45 1.65 8.0 2.1 319.04 0.08 344.85 0.60 435.81 1.20 580.10 1.65 7.9 2.2 318.96 0.08 345.45 0.61 437.01 1.21 581.75 1.66 7.8 2.3 318.88 0.07 346.06 0.61 438.22 1.22 583.41 1.66 7.7 2.4 318.81 0.06 346.67 0.62 439.44 1.22 585.07 1.66 7.6 2.5 318.75 0.06 347.29 0.63 440.66 1.23 586.73 1.67 7.5 2.6 318.69 0.05 347.92 0.63 441.89 1.23 588.40 1.67 7.4 2.7 318.64 0.04 348.55 0.64 443.12 1.24 590.07 1.68 7.3 2.8 318.60 0.03 349.19 0.65 444.36 1.24 591.75 1.68 7.2 2.9 318.57 0.03 349.84 0.65 445.60 1.25 593.43 1.68 7.1 3.0 318.54 0.02 350.49 0.66 446.85 1.25 595.11 1.68 7.0 3.1 318.52 0.01 351.15 0.67 448.10 1.26 596.79 1.69 6.9 3.2 318.51 0.01 351.82 0.67 449.36 1.26 598.48 1.69 6.8 3.3 318.50 0.00 352.49 0.68 450.62 1.27 600.17 1.69 6.7 3.4 318.50 0.01 353.17 0.68 451.89 1.27 601.86 1.70 6.6 3.5 318.51 0.01 353.85 0.69 453.16 1.28 603.56 1.70 6.5 3.6 318.52 0.02 354.54 0.70 454.44 1.29 605.26 1.70 6.4 3.7 318.54 0.03 355.24 0.70 455.73 1.29 606.96 1.71 6.3 3.8 318.57 0.04 355.94 0.71 457.02 1.30 608.67 1.71 6.2 3.9 318.61 0.04 356.65 0.72 458.32 1.30 610.38 1.71 6.1 4.0 318.65 0.05 357.37 0.72 459.62 1.31 612.09 1.72 6.0 4.1 318.70 0.06 358.09 0.73 460.93 1.31 613.81 1.72 5.9 4.2 318.76 0.06 358.82 0.74 462.24 1.32 615.5* 1.72 5.8 4.3 318.82 0.07 359.56 0.74 463.56 .32 617.25 1.72 5.7 4.4 318.89 0.08 360.30 0.75 464.88 .32 618.97 1.73 5.6 4.5 31897 0.08 361.05 0.76 466.20 .33 620.70 1.73 5.5 4.6 319.05 0.09 361.81 0.76 467.53 .88 622.43 1.73 5.4 4.7 319.14 0.10 362.57 0.77 468.86 .:il 624.16 1.74 5.3 4.8 319.24 0.10 363.34 0.78 470.20 M 625.90 1.74 5.2 4.9 319.34 0.11 364.12 0.78 471.54 .35 627.64 1.74 5.1 5.0 819.46 0.12 364.90 0.79 472.89 .35 629.38 1.74 5.0 I):iys ir 0 11 • 16 M> 14 0 ] 3ays. NOTE. — Arg. 12' = Arg. 12. TABLE LXXXIII. ARGUMENT 12. Equation = 846".0 -f- 527".5 sin. (2t — 2y). Days. O 1O 30 3O Days. Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff Days. d. y a • it il 5.0 319.45 0.12 364.90 0.79 472.89 1.35 629.38 1.74 5.0 5.1 319.57 0.13 365.69 0.79 474.24 1.36 631.12 1.75 4.9 5.2 319.70 0.13 366.48 0.80 475.60 1.36 632.87 1.75 4.8 5.3 319.83 0.14 367.28 0.80 476.96 1.37 634.62 1.75 4.7 5.4 319.97 0.15 368.08 0.81 478.33 1.37 636.37 1.76 4.6 5.5 320.12 0.15 368.89 0.82 479.70 1.38 638.13 1.76 4.5 5.6 320.27 0.16 369.71 0.82 481.08 1.38 639.89 1.76 4.4 5.7 320.43 0.17 370.53 0.83 482.46 1.39 641.65 1.77 4.3 5.8 320.60 0.17 371.36 0.83 483.85 1.40 643.42 1.77 4.2 5.9 320.77 0.18 372.19 0.84 485.25 1.40 645.19 1.77 4.1 6.0 320.95 0.19 373.03 0.85 486.65 1.40 646.96 1.77 4.0 6.1 321.14 0.19 373.88 0.86 488.05 1.41 648.73 1.78 3.9 6.2 321.33 0.20 374.74 0.87 489.46 1.41 650.51 1.78 3.8 6.3 321.53 0.21 375.61 0.87 490.87 1.42 652.29 1.78 3.7 6.4 321.74 0.22 376.48 0.88 492.29 1.42 654.07 1.78 3.6 6.5 321.96 0.22 377.36 0.88 493.71 1.43 655.85 1.79 3.5 6.6 322.18 0.23 378.24 0.89 495.14 1.43 657.64 1.79 3.4 6.7 322.41 0.24 379.13 0.89 496.57 1.43 659.43 1.79 3.3 6.8 322.65 0.24 380.02 0.90 498.00 1.44 661.22 1.79 3.2 6.9 322.89 0.25 380.92 0.91 499.44 1.44 663.01 1.79 3.1 7.0 323.14 0.26 381.83 0.91 500.88 1.45 664.80 1.80 3.0 7.1 323.40 0.26 382.74 0.92 502.33 1.45 666.60 1.80 2.9 7.2 323.66 0.27 383.66 0.92 503.78 1.46 668.40 1.80 2.8 7.3 323.93 0.28 384.58 0.93 505.24 1.46 670.20 1.80 2.7 7.4 32421 0.28 385.51 0.94 506.70 1.47 672.00 1.81 2.6 7.5 324.49 0.29 386.45 0.94 508.17 1.47 673.81 1.81 2.5 7.6 324.78 0.30 387.39 0.95 509.64 1.47 675.62 1.81 2.4 7.7 325.08 0.30 388.34 0.95 511.11 1.48 677.43 1.81 2.3 7.8 325.38 0.31 389.29 0.96 512.59 1.48 679.24 1.81 2.2 7.9 325.69 0.31 390.25 0.97 514.07 1.49 681.05 1.82 2.1 8.0 326.00 0.32 391.22 0.97 515.56 1.49 682.87 1.82 2.0 8.1 326.32 0.33 392.19 0.98 517.05 1.50 684.69 1.82 1.9 8.2 326.65 0.34 393.17 0.98 518.55 1.50 686.51 1.82 1.8 8.3 326.99 0.34 394.15 0.99 520.05 1.51 688.33 1.83 1.7 8.4 327.33 0.35 395.14 1.00 521.56 1.51 690.16 1.83 1.6 8.5 327.68 0.36 396.14 1.00 523.07 1.51 691.99 1.83 1.5 8.6 328.04 0.37 397.14 1.01 524.58 1.52 693.82 1.83 1.4 8.7 328.41 0.37 398.15 1.01 526.10 1.52 695.65 1.83 1.3 8.8 328.78 0.38 399.16 1.02 527.62 1.53 697.48 1.84 1.2 8.9 329.16 0.39 400.18 1.02 529.15 1.53 699.32 1.84 1.1 9.0 329.55 0.39 401.20 1.03 530.68 1.54 701.16 1.84 1.0 9.1 329.94 0.40 402.23 1.04 532.22 1.54 70300 1.84 0.9 9.2 330.34 0.41 403.27 1.04 533.76 1.54 704.84 1.84 0.8 9.3 330.75 0.41 404.31 1.05 535.30 1.55 706.68 1.85 0.7 9.4 331.16 0.42 405.36 105 536.85 1.55 708.53 1.85 0.6 9.5 331.58 0.43 406.41 1.06 538.40 1.56 710.38 1.85 0.5 9.6 332.01 0.43 407.47 1.07 539.96 1.56 712.23 1.85 0.4 9.7 332.44 0.44 408.54 1.07 541.52 1.56 714.08 1.85 0.3 9.8 332.88 0.45 409.61 1.08 543.08 1.57 715.93 1.85 0.2 9.9 333.33 0.45 410.69 1.08 544.65 1.57 717.78 1.85 0.1 10.0 333.78 0.46 411.77 1.09 546.22 1.58 719.63 1.86 0.0 Days. 17O 160 130 14O Days. NOTB. — Arg. 12' = Arg. 12. 267 TABLE LXXXIII. ARGUMENT 12'. Equation = 846".0 + 527".5 sin. (2t — 2y). Days. 4 f> r,< > <>< » 741 1 8 O Days. Day.. Equation. Diff. Equation. Diff. Equation. Diff. , Equation. Diff. Equation. Diff. Days. d. 0.0 719.63 1.86 909.49 1.90 1091.07 1.69 1240.80 1.27 1339.22 0.68 d. 10.0 0.1 721.49 1.86 911.39 1.90 1092.76 1.69 1242.07 1.26 1339.90 0.67 9.9 0.2 723.35 1.86 913.29 1.90 1094.45 1.69 1243.33 1.25 1340.57 0.66 9.8 0.3 725.21 1.86 915.19 1.89 1096.14 1.68 1244.58 1.25 1341.23 0.66 9.7 0.4 727.07 1.86 917.08 1.89 1097.82 1.68 1245.83 1.24 1341.89 0.65 9.6 0.5 728.93 1.87 918.97 1.89 1099.50 1.68 1247.07 1.24 1342.54 0.64 9.5 0.6 730.80 1.87 920.86 .89 1101.18 1.67 1248.31 1.23 1343.18 0.63 9.4 0.7 732.67 1.87 922.75 .89 1102.85 1.67 1249.54 1.23 1343.81 0.63 9.3 0.8 734.54 1.87 924.64 .89 1104.52 1.66 1250.77 1.23 1344.44 0.62 9.2 0.9 736.41 1.87 926.53 .89 1106.18 1.66 1252.00 1.22 1345.06 0.61 9.1 .0 738.28 1.87 928.42 .89 1107.84 1.66 1253.22 1.21 1345.67 0.61 9.0 .1 740.15 1.88 930.31 .89 1109.50 1.66 1254.43 1.21 1346.28 0.60 8.9 .2 742.03 1.88 932.20 .89 1111.16 1.65 1255.64 1.20 1346.88 0.60 8.8 .3 743.91 1.88 934.09 1.88 1112.81 1.65 1256.84 1.20 1347.48 0.59 8.7 .4 745.79 1.88 935.97 1.88 1114.46 1.64* 1258.04 1.19 1348.07 0.58 8.6 .5 747.67 1.88 937.85 1.88 1116.10 1.64 1259.23 1.19 1348.65 0.58 8.5 .6 749.55 1.88 939.73 1.88 1117.74 1.64 1260.42 1.18 1349.23 0.57 8.4 .7 751.43 1.88 941.61 1.88 1119.38 1.63 1261.60 1.17 1349.80 0.56 8.3 .8 753.31 1.88 943.49 1.88 1121.01 1.63 1262.77 1.17 1350.36 0.55 8.2 .9 755.19 1.88 945.37 1.88 1122.64 1.63 1263.94 1.16 1350.91 0.55 8.1 2.0 757.07 1.89 947.25 1.88 1124.27 1.62 1265.10 1.16 1351.46 0.54 8.0 2.1 758.96 1.89 949.13 1.87 1125.89 1.62 1266.26 1.15 1352.00 0.54 7.9 2.2 760.85 1.89 951.00 1.87 1127.51 1.62 1267.41 1.15 1352.54 0.53 7.8 2.3 762.74 1.89 952.87 1.87 1129.13 1.61 1268.56 1.14 1353.07 0.52 7.7 2.4 764.63 1.89 954.74 1.87 1130.74 1.61 1269.70 1.14 1353.59 0.52 7.6 2.5 766.52 1.89 956.61 1.87 1132.35 1.60 1270.84 1.13 1354.11 0.51 7.5 2.6 768.41 1.89 958.48 1.87 1133.95 1.60 1271.97 1.18 1354.62 0.51 7.4 2.7 770.30 1.89 960.35 1.87 1135.55 1.60 1273.10 1.12 1355.13 0.50 7.3 2.8 772.19 1.89 962.22 1.86 1137.15 1.59 1274.22 1.11 1355.63 0.49 7.2 2.9 774.08 1.90 964.08 1.86 1138.74 1.59 1275.33 1.11 1356.12 0.49 7.1 3.0 775.98 1.89 965.94 1.86 1140.33 1.58 1276.44 1.10 1356.61 0.48 7.0 3.1 777.87 1.90 967.80 1.86 1141.91 1.58 1277.54 1.10 1357.09 0.47 6.9 3.2 779.77 1.90 969.66 1.86 1143.49 1.58 1278.64 1.09 1357.56 0.46 6.8 3.3 781.67 1.90 971.52 1.86 1145.07 1.57 1279.73 1.09 1358.02 0.46 6.7 3.4 783.57 1.90 973.38 1.85 1146.64 1.57 1280.82 1.08 1358.48 0.45 6.6 3.5 785.47 1.90 975.23 1.85 1148.21 1.57 1281.90 1.07 1358.93 0.44 6.5 3.6 787.37 1.90 977.08 1.85 1149.78 1.56 1282.97 1.07 1359.37 0.44 6.4 3.7 789.27 1.90 978.93 1.85 1151.34 1.56 12N4.04 1.06 1859.81 0.43 6.3 3.8 791.17 1.90 980.78 .85 1152.90 1.55 1285.10 1.06 1360.24 0.42 6.2 3.9 793.07 1.90 982.63 .85 1154.45 1.55 1286.16 1.05 1360.66 0.42 6.1 4.0 794.97 1.90 984.48 .84 1156.00 1.55 1287.21 1.05 1361. ON 0.41 6.0 4.1 796.87 1.90 !iMi.:t-J .84 1157.55 1.54 1288.26 1.04 1361.1!) 0.40 5.9 4.2 798.77 .90 968.16 .M 1159.0!) 1.54 12N9.30 1.03 1361, si) 0.40 5.8 4.3 800.67 .91 990.00 ,M 1 160.63 1 .53 !-.»>().:(:( 1.M 1362.29 0.39 5.7 4.4 802.58 .91 991.84 .84 1162.16 1.53 1291.36 1.02 1362.68 0.38 5.6 4.5 804.49 .91 993.68 .84 1163.69 1.52 1292.38 1.02 1363.06 0.37 5.5 4.6 806.40 .91 996.63 .81} 1165.21 1.52 129!t. 10 1.01 1363.43 0.37 5.4 4.7 sos.rn .91 997.35 .83 1 166.73 IJfl 1294.41 1.0(1 136380 0.36 5.3 4.8 810.22 .91 !)<)!). is .H:t 1168.25 1.51 1295.41 1.00 1364.16 0.35 5.2 4.9 812.13 1.91 1001.01 .83 1169.76 1.51 121)6.41 0.99 1364.51 0.35 5.1 5.0 814.04 1.91 1002.84 .82 1171.27 1.50 1297.40 <>.!>!) 136-1XJ 0.3 i 5.0 Day.. i: to 1-' 9 111 l> 10 1 9 0 Days. NOTE. — Arg. 12' = Arg. IS. 268 TABLE LXXXIII. ARGUMENT 12'. Equation — 846".0 + 527".5 sin. (2t — 2y). Days. 1 » 50 <><) > rc i 8 0 Days. Daya. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Days. I a ii • ,1 5.0 814.04 1.91 1002.84 1.82 1171.27 1.50 1297.40 0.99 1364.86 0.34 5.0 5.1 815.95 1.91 1004.66 1.82 1172.77 1.50 1298.39 0.98 1365.20 033 4.9 5.2 817.86 1.91 1006.48 1.82 1 174.27 1.49 1299.37 0.97 1365.53 0.33 4.8 5.3 819.77 « 1.91 1008.30 1.82 1175.76 1.49 1300.34 0.97 1365.86 0.32 4.7 5.4 821.68 1.91 1010.12 1.82 1177.25 1.48 1301.31 0.96 -1366.18 0.31 4.6 5.5 823.59 1.91 1011.94 1.82 1178.73 1.48 1302.27 0.96 1366.49 0.31 4.5 5.6 825.50 1.91 1013.76 1.81 1180.21 1.48 1303.23 0.95 1366.80 0.30 4.4 5.7 827.41 1.91 1015.57 1.81 1181.69 1.47 1304.18 0.95 1367.10 0.29 4.3 5.8 829.32 1.91 1017.38 1.81 1183.16 1.47 1305.13 0.94 1367.39 0.29 4.2 5.9 831.23 1.91 1019.19 1.81 1184.63 1.47 1306.07 0.93 1367.68 0.28 4.1 6.0 833.14 1.91 1021.00 1.80 1186.10 1.46 1307.00 0.93 1367.96 0.27 4.0 6.1 835.05 1.92 1022.80 1.80 1187.56 1.45 1307.93 0.92 1368.23 0.27 3.9 6.2 836.97 1.91 1024.60 1.80 1189.01 1.45 1308.85 0.91 1368.50 0.26 3.8 6.3 838.88 1.91 1026.40 1.80 1190.46 1.45 1309.76 0.91 1368.76 0.25 3.7 6.4 840.79 1.91 1028.20 1.79 1191.91 1.44 1310.67 0.90 1369.01 0.25 3.6 6.5 842.70 1.92 1029.99 1.79 1193.35 1.44 1311.57 0.90 1369 26 0.24 3.5 6.6 844.62 1.91 1031.78 1.79 1194.79 1.43 1312.47 0.89 1369.50 0.23 3.4 6.7 846.53 1.91 1033.57 1.79 1196.22 1.43 1313.36 0.88 1369.73 0.22 3.3 6.8 848.44 1.91 1035.36 1.78 1197.65 1.42 1314.24 0.88 1369.95 0.22 3.2 6.9 850.35 1.91 1037.14 1.78 1199.07 1.42 1315.12 0.87 1370.17 0.21 3.1 7.0 852.26 1.92 1038.92 1.78 1200.49 1.41 1315.99 0.87 1370.38 0.20 30 7.1 854.18 1.91 1040.70 1.78 1201.90 1.41 1316.8G 0.86 1370.58 0.20 2.9 7.2 856.09 1.91 1042.48 1.77 1203.31 1.40 1317.72 0.85 1370.78 0.19 2.8 7.3 858.00 1.91 1044.25 1.77 1204.71 1.40 1318.57 0.85 1370.97 0.18 2.7 7.4 859.91 1.91 1046.02 1.77 1206.11 1.39 1319.42 0.84 1371.15 0.18 2.6 7.5 861.82 1.92 1047.79 1.77 1207.50 1.39 1320.26 0.84 1371.33 0.17 2.5 7.6 863.74 1.91 1049.56 1.76 12()8.8i» 1.3:) IMl.lO 0.8'i ia:i..rio 0.19 2.4 7.7 865.65 1.91 1051.32 1.76 1210.28 1.38 1321.93 0.82 1371.66 0.16 2.3 7.8 867.56 1.91 1053.08 1.76 1211.66 1.38 1322.75 0.81 1371.82 0.15 2.2 7.9 869.47 1.91 1054.84 1.75 1213.04 1.33 l'«3.56 0.81 1371.97 0.14 2.1 8.0 871.38 1.91 1056.59 1.75 1214.42 1.37 1324.37 0.80 1372.11 0.14 2.0 8.1 873.29 1.91 1058.34 1.75 1215.79 1.36 1325.17 0.80 1372.25 0.13 .9 8.2 875.20 1.91 10(J0.09 1.75 1017.15 1.36 1S:5.97 0.7!t 1372.38 0.12 .8 8.3 877.11 1.90 1061.84 1.74 1218.51 1.35 1326.76 0.78 1372.50 0.11 .7 8.4 879.01 1.91 1063.58 1.74 1219.86 1.35 1327.54 0.78 1372.61 0.11 .6 8.5 880.92 1.91 1065.32 1.74 1221.21 1.34 1328.32 0.77 1372.72 0.10 .5 8.6 882.83 1.91 1067.06 .73 1222.55 1.34 1329.09 0.76 1372.82 0.09 .4 8.7 884.74 1.91 1068.79 .73 1223.89 1.33 1329.85 0.76 1372.91 0.09 .3 8.8 886.65 1.90 1070.52 .73 1225.22 1.32 1330.61 0.75 1373.00 0.08 1.2 8.9 888.55 1.91 1072.25 .73 1226.54 1.32 1331.36 0.74 1373.08 0.07 1.1 9.0 890.46 1.91 1073.98 .72 1227.86 1.32 1332.10 0.74 1373.15 0.07 1.0 9.1 892.37 1.91 1075.70 .72 1229.18 1.31 1332.84 0.73 1373.22 0.06 0.9 9.2 894.28 1.91 1077.42 1.72 1230.49 1.31 1333.57 0.73 1373.28 0.05 0.8 9.3 896.19 1.90 1079.14 1.71 1231.80 1.30 1334.30 0.72 1373.33 0.05 0.7 9.4 898.09 1.90 1080.85 1.71 1233.10 1.30 1335.02 0.71 1373.38 0.04 0.6 9.5 899.99 1.90 1082.56 1.71 1234.40 1.29 1335.73 0.71 1373.42 0.03 0.5 9.6 901.89 1.90 1084.27 1.70 1235.69 1.29 1336.44 0.70 1373.45 0.02 0.4 9.7 903.79 1.90 1085.97 1.70 1236.98 1.28 1337.14 0.70 1373.47 0.02 0.3 9.8 905.69 1.90 1087.67 1.70 1238.26 1.27 1337.84 0.69 1373.49 0.01 0.2 9.9 907.59 1.90 1089.37 1.70 1239.53 1.27 1338.53 0.69 1373.50 0.00 0.1 10.0 909.49 1.90 1091.07 1.69 1240.80 1.27 1339.22 0.68 1373.50 0.00 0.0 Days ii SO 13i » 11 0 B0( » 9 0 Days. NOTE.— Arg. 12' 269 • Arg.12. TABLES LXXXIV. LXXXV. TABLES ARGUMENTS LXXXIV. LXXXV. 33. Days. O 100 9OO 3OO 4OO 5OO Days. Days. O 1O 1JO Days. Day«. 0 i'.i5 0.95 8.68 21.85 36.26 47.29 Ihiy... 100 Davs 0.0 44.15 41.82 33.98 1 ',1 V • 10.0 01 1.11 0.99 8.79 21.99 36.40 47.37 99 0.1 44.16 41.77 33.88 9.9 02 1.07 1.03 8.90 22.14 36.53 47.45 98 0.2 44.17 41.71 33.78 9.8 03 1.03 1.07 9.01 22.28 36.67 47.53 97 0.3 44.17 41.66 33.68 9.7 04 0.99 1.11 9.12 22.43 36.80 47.61 96 0.4 44.18 41.60 33.58 9.6 05 0.95 1.16 9.23 22.58 36.93 47.68 95 0.5 44.18 41.55 33.48 9.5 06 0.91 1.20 9.34 22.72 37.06 47.76 94 0.6 44.18 41.49 33.38 9.4 07 0.87 1.25 9.46 22.87 37.19 47.83 93 0.7 44.19 41.43 33.28 9.3 08 0.83 1.29 9.57 23.01 37.32 47.91 92 0.8 44.19 41.38 33.18 9.2 09 0.79 1.34 9.69 23.16 37.45 47.98 91 0.9 44.19 41.32 33.08 9.1 10 0.76 1.39 9.81 23.31 37.58 48.05 90 1.0 44.20 41.26 32.97 9.0 11 0.72 1.44 9.92 23.45 37.71 48.12 89 1.1 44.20 41.20 32.87 8.9 12 0.69 1.49 10.04 23.60 37.84 48.19 88 1.2 44.20 41.14 32.76 8.8 13 0.65 1.54 10.15 23.75 37.97 48.26 87 1.3 44.20 41.08 32.66 8.7 14 0.62 1.59 10.27 23.90 38.10 48.33 86 1.4 44.20 41.02 32.55 8.6 15 0.59 1.64 10.39 24.05 38.23 48.40 85 1.5 44.20 40.96 32.45 8.5 16 0.56 1.69 10.51 24.19 38.36 48.47 84 1.6 44.20 40.89 32.34 8.4 17 0.53 1.74 10.63 24.34 38.49 48.54 83 1.7 44.19 40.83 32.24 8.3 18 0.50 1.80 10.75 24.48 38.62 48.61 82 1.8 44.19 40.77 32.13 8.3 19 0.47 1.85 10.87 24.63 38.75 48.68 81 1.9 44.19 40.71 32.03 8.1 20 0.44 1.91 10.99 24.78 38.87 48.74 80 2.0 44.18 40.64 31.92 8.0 21 0.41 1.97 11.11 24.92 39.00 48.81 79 2.1 44.18 40.58 31.82 7.9 22 0.39 2.02 11.23 25.07 39.13 48.87 78 2.2 44.17 40.51 31.71 7.8 23 0.36 2.08 11.35 25.22 39.25 48.94 77 2.3 44.17 40.44 31.61 7.7 24 0.34 2.14 11.47 25.37 39.38 49.00 76 2.4 44.16 40.38 31.50 7.6 25 0.32 2.20 11.60 25.52 39.50 49.06 75 2.5 44.15 40.31 31.39 7.5 26 0.29 2.26 11.72 25.66 39.63 49.12 74 2.6 44.14 40.24 31.29 7.4 27 0.27 2.32 11.84 25.81 39.75 49.18 73 2.7 44.13 40.18 81.18 7.3 28 0.25 2.38 11.97 25.96 39.87 49.24 72 2.8 44.12 40.11 31.07 7.2 29 0.23 2.44 12.09 26.11 39.99 49.30 71 2.9 44.11 40.04 30.96 7.1 30 0.21 2.50 12.22 26.26 40.11 49.35 70 3.0 44.10 39.97 30.85 7.0 31 0.19 2.56 12.35 26.40 40.24 49.41 69 3.1 44.09 39.90 80.74 6.9 32 0.17 2.63 12.47 26.55 40.36 49.47 68 3.2 44.08 39.83 30.63 6.8 33 0.16 2.69 12.60 26.70 40.48 49.52 67 :t.:( 44.06 :(<».7<; 30.52 6.7 34 0.14 2.76 12.73 26.85 40.60 49.58 66 3.4 44.05 39.69 30.41 6.6 35 0.13 2.83 12.86 27.00 40.72 49.63 65 3.5 44.04 39.62 30.30 6.5 36 0.11 2.90 12.98 27.14 40.84 49.69 64 3.6 44.02 39.54 30.19 6.4 37 0.10 2.97 13.11 •27.2!) 40.96 49.74 63 3.7 44.01 39.47 30.0N <;.:« 38 0.09 3.04 13.24 27.44 41.08 49.79 62 3.8 48.19 39.40 39.97 6.2 39 0.08 3.11 13.37 27.58 41.20 49.84 61 3.9 43.98 39.33 21). Nil 6.1 40 0.07 3.18 13.50 27.73 41.31 49.89 60 4.0 43.96 39.25 29.75 6.0 41 O.Ofi 3.25 13.63 27.88 41.43 49.94 59 4.1 43.94 89.18 39.64 5.9 42 0.05 3.32 13.76 28.03 41.55 49.99 58 4.2 43.92 :!<>.]<> 29.53 5.8 43 0.01 3.39 18.89 28.17 41.66 50.0 I 57 4.3 48 JO :i».o:{ 29.42 5.7 41 0.03 .-(. it; 14.02 28.32 41.78 50.09 56 4.4 43.88 88.96 29.31 5.6 45 0.02 :t.:.i 14.15 28.47 41.89 50.13 55 4.5 13.86 38.87 29.20 5.5 46 0.01 3.61 1 1 .-.'- |».69 12.01 50.18 54 4.6 l.'f.Nl 88JO 29. OH 5.4 47 0.01 3.69 14.41 2N.7H 12.12 50.33 58 4.7 43.S2 3N.72 28.97 r>.:{ 48 0.01 3.76 14.55 38.91 42.24 50.27 52 4.8 lit. so 38.64 98.86 5.3 49 0.00 8.84 14.68 29.05 13.85 r.o.:! i 51 4.9 43.78 88.66 28.75 5.1 50 0.00 3.!»2 14.82 29.20 13.46 50.35 50 5.0 4375 38.48 2N.63 5.0 Days. 1100 1000 9OO HOO 700 60O Days. Days. HO 100 OO Days. * NOTB. — Arg. 73" = Arg. fB + 321 .87. 270 TABLES LXXXIV. LXXXV. TABLES ARGUMENTS LXXXIV. 73". LXXXV. 53. Days. O 1OO 2OO 3OO 4OO 5OO Days. Days. O 1O 2O Days. Day« Days Days H „ H Days. 50 o.oo 3.92 14.82 29.20 42.46 50.35 50 5.0 43.75 38.48 28.63 5.0 51 0.00 4.00 14.95 29.35 42.57 50.39 49 5.1 43.73 38.40 28.52 4.9 52 0.00 4.08 15.08 29.49 42.68 50.43 48 5.2 43.70 38.32 28.41 4.8 53 0.00 4.16 15.22 29.64 42.79 50.47 47 5.3 43.68 38.24 28.30 4.7 54 0.00 4.24 15.35 29.78 42.90 50.51 46 5.4 43.65 38.16 28.18 4.6 55 0.00 4.32 15.49 29.93 43.01 50.55 45 5.5 43.63 38.08 28.07 4.5 56 0.00 4.40 15.62 30.08 43.12 50.59 44 5.6 43.60 37.99 27.96 4.4 57 0.00 4.48 15.76 30.22 43.23 50.63 43 5.7 43.57 37.91 27.85 4.3 58 0.01 4.57 15.89 30.37 43.34 50.66 42 5.8 43.55 37.83 27.73 4.2 59 0.01 4.65 16.03 30.51 43.45 50.70 41 5.9 43.5-i 37.75 27.62 4.1 60 0.02 4.74 16.17 30.65 43.55 50.73 40 6.0 43.49 37.66 27.50 4.0 61 0.03 4.83 16.30 30.80 43.66 50.76 39 6.1 43.46 37.58 27.39 3.9 62 0.04 4.91 16.44 30.94 43.76 50.79 38 6.2 43.43 37.49 27.27 3.8 63 0.05 5.00 16.58 31.09 43.87 50.82 37 6.3 43.40 37.41 27.16 3.7 64 0.06 5.09 16.72 31.23 43.97 50.85 36 6.4 43.36 37.32 27.04 3.6 65 0.07 5.18 16.86 31.37 44.07 50.88 35 6.5 43.33 37.24 26.93 3.5 66 0.08 5.27 17.00 31.52 44.18 50.91 34 6.6 43.30 37.15 26.81 3.4 67 0.09 5.36 17.14 31.66 44.28 50.94 33 6.7 43.26 37.07 26.70 3.3 68 0.10 5.45 17.28 31.81 44.38 50.97 32 6.8 43.23 36.98 26.58 3.2 69 0.11 5.54 17.42 31.95 44.48 51.00 31 6.9 43.20 36.89 26.46 3.1 70 0.13 5.63 17.56 32.09 44.58 51.02 30 7.0 43.16 36.80 26.34 3.0 71 0.14 5.72 17.70 32.24 44.6S 51.05 29 7.1 43.13 36.71 26.23 2.9 72 0.16 5.81 17.84 32.38 44.78 51.07 28 7.2 43.09 36.62 26.11 2.8 73 0.18 5.91 17.98 32.53 44.88 51.10 27 7.3 43.05 36.53 26.00 2.7 74 0.20 6.00 18.12 32.67 44.98 51.12 26 7.4 43.01 36.44 25.88 2.6 75 0.22 6.10 18.26 32.81 45.07 51.14 25 7.5 42.97 36.35 25.77 2.5 76 0.24 6.19 18.40 32.95 45.17 51.16 24 7.6 42.93 36.26 25.% 2.4 77 0.26 6.29 18.51 33.09 45.27 51.18 93 7.7 4-J.8!; 36.17 26.53 2.3 78 0.28 6.38 18.68 33.23 45.36 51.20 22 7.8 42.85 36.08 25.42 2.2 79 0.30 6.48 18.82 33.37 45.46 51.22 21 7.9 42.81 35.99 25.30 2.1 80 0.32 6.58 18.97 33.51 45.55 51.23 20 8.0 42.77 35.90 25.18 2.0 81 0.34 6.68 19.11 33.65 45.65 51.25 19 8.1 42.73 35.81 25.07 1.9 82 0.37 6.78 19.25 33.79 45.74 51.26 18 8.2 43.fi9 35.72 24.95 1.8 83 0.39 6.8S 19.39 33.i)3 45.83 51.28 17 8.3 4-^. ;r> 35.62 24.83 1.7 84 0.42 6.98 19.53 34.07 45.92 51.29 16 8.4 42.61 35.53 24.72 1.6 85 0.45 7.08 19.68 34.21 46.01 51.30 15 8.5 42.56 35.44 24.60 1.5 86 0.47 7.18 19.82 34.35 46.10 51.32 14 8.6 42.52 35.35 24.48 1.4 87 0.50 7.28 19.96 34.49 46.19 51.33 13 8.7 42.47 35.25 24.37 1.3 88 0.53 7.39 20.11 34.63 46.28 51.34 12 8.8 42.42 35.16 24.25 1.2 89 0.56 7.49 20.25 34.77 46.37 51.35 11 8.9 42.37 35.06 24.13 1.1 90 0.59 7.60 20.40 34.90 46.45 51.36 10 9.0 42.32 34.96 24.01 1.0 91 0.62 7.70 20.54 35.04 46.54 51.37 09 9.1 42.27 34.87 23.90 0.9 92 0.65 7.81 20.68 35.18 46.63 51.38 08 9.2 42.22 34.77 23.78 0.8 93 0.69 7.91 20.83 35.31 46.71 51.38 07 9.3 42.17 34.67 23.66 0.7 94 0.72 8.02 20.97 35.45 46.80 51.39 06 9.4 42.12 34.58 23.54 0.6 95 0.76 8.13 21.12 35.58 46.88 51.39 05 9.5 42.07 34.48 23.43 0.5 96 0.79 8.24 21.26 35.72 46.97 51.39 04 9.6 42.02 34.38 23.31 0.4 97 0.83 8.35 21.41 35.86 47.05 51.40 03 9.7 41.97 34.28 23.19 0.3 98 0.87 8.46 21.55 35.99 47.13 51.40 02 9.8 41.92 34.18 23.07 0.2 99 0.91 8.57 21.70 36.13 47.21 51.40 01 9.9 41.87 34.08 22.95 0.1 100 0.95 8.68 21.85 36.26 47.29 51.40 0 10.0 41.82 33.98 22.83 0.0 Days. 11OO 1OOO 9OO 8OO 7OO 6OO Days. Days. 11O 1OO 90 Days. NOTB. — Arg. 73" = Aig. 73 + 321 37. 271 TABLES LXXXV. - LXXXVII. TABLES ARGUMENTS LXXXV. 53. LXXXVI. 1. LXXXVII. ro. Days. 30 4O SO Days. Days. 0 10 20 Days. 0 100 Days. Days. 0.0 22.83 11.47 3.0S Days. 10.0 Days. 0.0 2*.60 0.45 1.09 Dayi 0 2.22 6.92 100 0.1 22.72 11.37 3.02 9.9 0.1 2.60 0.43 1.12 01 2.10 7.10 99 0.2 22.60 11.27 2.96 9.8 0.2 2.60 0.41 1.15 02 1.98 7.29 98 0.3 22.48 11.16 2.90 9.7 0.3 2.60 0.39 1.18 03 1.87 7.48 97 0.4 22.36 11.06 2.85 9.6 0.4 2.60 0.37 1,21 04 1.76 7.67 96 0.5 22.25 10.96 2.79 9.5 0.5 2.60 0.35 .24 05 1.65 7.86 95 0.6 22.13 10.85 2.73 9.4 0.6 2.59 0.33 .27 06 1.55 8.05 94 0.7 22.01 10.75 2.68 9.3 0.7 2.59 0.31 .30 07 1.45 8.24 93 0.8 21.89 10.65 2.62 9.2 0.8 2.58 0.29 .33 08 1.35 8.43 92 0.9 21.77 10.55 2.56 9.1 0.9 2.58 0.27 .36 09 1.25 8.62 91 1.0 1.1 1.2 1.3 1.4 21.65 21.54 21.42 21.30 21.18 10.45 10.35 10.25 10.15 10.05 2.51 2.45 2.40 2.35 2.30 9.0 8.9 8.8 8.7 8.6 1.0 1.1 1.2 1.3 1.4 2.57 2.56 2.55 2.54 2.54 0.26 0.24 0.22 0.21 0.19 .39 .42 .45 1.48 1.51 10 11 12 13 14 1.16 1.07 0.98 0.90 0.82 8.82 9.01 9.21 9.40 9.60 90 89 88 87 86 1.5 21.07 9.96 2.24 8.5 15 0.75 9.80 85 1.6 20.95 9.86 2.19 8.4 1.5 2.53 0.17 1.54 16 0.68 9.99 84 1.7 20.83 9.76 2.14 8.3 1.6 2.52 0.16 1.57 17 0.61 10.19 83 1.8 20.71 9.66 2.09 8.2 1.7 2.51 0.14 1.60 18 0.54 10.38 82 1.9 20.59 9.56 2.04 8.1 1.8 2.50 0.13 1.63 19 0.48 10.5S 81 1.9 2.49 0.11 1.66 2.0 20.47 9.47 1.99 8.0 20 0.42 10.78 80 2.1 20.36 9.37 1.94 7.i) 2.0 2.47 0.10 1.69 21 0.37 10.97 79 2.2 20.24 9.27 1.89 7.8 2.1 2.46 0.09 1.72 22 0.32 11.17 78 2.3 20.12 9.18 1.85 7.7 2.2 2,45 0.08 1.75 23 0.27 11.37 77 2.4 20.00 9.08 1.80 7.6 2.3 2.43 0.07 1.77 24 0.23 11.56 76 2.4 2.42 0.06 1.80 2.5 19.88 8.98 1.75 7.5 25 0.19 11.76 75 2.6 19.77 8.89 1.71 7.4 2.5 2.40 0.05 1.82 26 0.15 11.96 74 2.7 19.65 8.79 1.66 7.3 2.6 2.39 0.04 1.85 27 0.12 12.15 73 2.8 19.53 8.70 1.62 7.2 2.7 8.07 0.03 1.88 28 0.09 12.34 72 2.9 19.41 8.60 1.57 7.1 2.8 2.35 0.03 1.90 29 0.07 12.53 71 2.9 2.33 0..02 1.93 3.0 19.29 8.51 1.53 7.0 30 0.05 12.72 70 3.1 3.2 3.3 3.4 19.17 19.05 18.94 18.82 8.41 8.32 8.23 8.14 1.49 1.45 1.41 1.37 6.9 6.8 6.7 6.6 3.0 3.1 3.2 3.3 2.31 2.29 2.27 2.25 0.02 0.01 0.01 0.01 1.96 1.98 2.01 2.03 31 32 33 34 0.03 0.02 0.01 0.00 12.91 13.10 18.48 69 68 67 66 3.5 18.70 8.05 1.33 6.5 3.4 2.23 0.01 2.06 35 0.00 13.66 65 3.6 18.58 7.96 1.29 6.4 36 0.00 13.85 64 l-v!7 787 1.25 6.3 3.5 2.21 0.00 2.08 37 0.00 14.03 3.8 7.78 1.21 6.2 3.6 2.19 0.00 2.10 38 0.01 14.21 62 3.9 18.23 7.69 1.17 6.1 3.7 2.17 0.00 2.12 39 0.02 14.39 61 3.8 2.14 0.00 2.14 4.0 18.12 7.60 1.13 6.0 3.9 2.12 0.00 2.17 40 0.04 14.57 60 4.1 18.00 7.51 1.09 5.9 41 0.06 14.75 59 4.'2 17.H9 7.42 1.05 5.8 4.0 2.10 0.00 2.19 42 0.09 14.98 58 4.3 17.77 7.33 1.02 5.7 4.1 2.08 0.00 2.21 43 0.12 15.10 57 4.4 17.66 7.25 0.98 5.6 4.2 2.06 0.01 2.23 44 0.15 15.27 56 4.3 2.03 0.01 2.25 4.5 17.54 7. 16 0.95 5.5 4.4 2.01 0.01 2.27 45 0.18 15.41 55 4.6 17.43 7.07 0.91 5.4 46 0.22 15.61 54 4.7 17.31 6.99 0.88 f>.:j 4.5 .98 0.01 2.29 47 0.26 15.78 53 4.8 17.-20 6.90 0.84 5.2 4.6 .96 0.02 2.81 48 0.31 15.95 52 4.9 17.08 6.81 O.Nl 5.1 4.7 .93 0.02 49 0.36 16.11 51 5.0 16.97 6.73 0.78 5.0 4.8 .90 0.03 2^35 50 0.41 16.27 50 4.9 .88 0.03 2.37 Days. 80 7« 6O Days. 5.0 .85 0.04 2.39 Days. 300 •JOO Days. 272 TABLES LXXXV. - LXXXVII. TABLES ARGUMENTS LXXXV. 53. LXXXVI. 1. LXXXVII. 70. Days. 30 4O .TO Days. Days. 0 1O 2O Days. O 100 Days. Dava 5.0 16.97 6.73 0.78 Days. 5.0 Days. 5.0 1.85 0.04 2.39 Days. 50 // 0.41 16.27 Davs. 50 5.1 16.85 6.64 0.75 4.9 5.1 1.82 0.05 2.40 51 0.47 16.43 49 5.2 16.74 6.56 0.72 4.8 5.2 1.80 0.06 2.42 52 0.53 16.59 48 5.3 16.62 6.48 0.69 4.7 5.3 1.77 0.07 2.43 53 0.5!) 16.74 47 5.4 16.51 6.40 0.66 4.6 5.4 1.75 0.08 2.45 54 0.66 16.89 46 , 5.5 16.39 6.31 0.64 4.5 5.5 1.72 0.09 2.46 55 0.73 17.04 45 5.6 16.28 6.23 0.61 4.4 5.6 1.69 0.10 2.47 56 0.80 17.19 44 5.7 •16.17 6.15 0.58 4.3 5.7 1.66 0.11 2.49 57 0.88 17.33 43 5.8 16.05 6.07 0.55 4.2 5.8 1.63 0.13 2.50 58 0.96 17.47 42 5.9 15.94 5.99 0.52 4.1 5.9 1.60 0.14 2.51 59 1.05 17.61 41 6.0 15.83 5.91 0.50 4.0 6.0 1.57 0.16 2.52 60 1.14 17.75 40 6.1 15.71 5.83 0.47 3.9 6.1 1.54 0.17 2.53 61 .1.23 17.88 39 6.2 6.3 6.4 15.60 15.49 15.37 5.75 5.67 5.59 0.45 0.43 0.41 3.8 3.7 3.6 6.2 6.3 6.4 1.51 1.48 1.45 0.19 0.21 0.22 2.54 2.54 2.55 62 63 64 1.33 1.43 1.53 18.01 18.14 18.27 38 37 36 6.5 15.26 5.51 0.38 3.5 65 1.63 18.39 35 6.6 15.15 5.43 0.36 3.4 6.5 1.42 0.24 2.56 66 1.74 18.51 34 6.7 15.03 5.35 0.34 3.3 6.6 1.39 0.26 2.57 67 1.85 18.63 33 6.8 14.92 5.27 0.32 3.2 6.7 1.36 0.27 2.58 68 1.96 18.75 32 6.9 14.81 5.19 0.30 3.1 6.8 1.33 0.29 2.58 69 2.07 18.86 31 6.9 1.30 0.31 2.59 7.0 14.70 5.12 0.28 3.0 70 2.19 18.96 30 7.1 14.59 5.04 0.26 2.9 7.0 1.27 0.33 2.59 71 2.31 19.07 29 7.2 14.48 4.97 0.24 2.8 7.1 1.24 0.35 2.60 72 2.44 19.17 28 7.3 14.37 4.90 0.23 2.7 7.2 1.21 0.37 2.60 73 2.57 19.27 27 7.4 14.26 4.82 0.21 2.6 7.3 1.18 0.39 2.60 74 2.70 19.36 26 7.4 1.15 0.41 2.60 7.5 14.15 4.75 0.19 2.5 75 2.83 19.45 25 7.6 14.04 4.68 0.18 2.4 7.5 1.12 0.43 2.60 76 2.97 19.54 24 7.7 13.93 4.60 0.16 2.3 7.6 1.09 0.45 2.60 77 3.11 19.62 23 7.8 13.82 4.53 0.15 2.2 7.7 1.06 0.47 2.60 78 3.25 19.70 22 7.9 13.71 4.46 0.14 2.1 7.8 1.04 0.50 2.60 79 3.39 19.78 21 7.9 1.01 0.52 2.60 * 8.0 13.60 4.39 0.13 2.0 80 3.54 19.86 20 8.1 8.2 8.3 8.4 13.49 13.38 13.27 13.16 4.32 4.25 4.18 4.11 0.12 0.11 0.10 0.09 1.9 1.8 1.7 1.6 8.0 8.1 8.2 8.3 0.98 0.95 0.92 0.90 0.54 0.57 0.59 0.62 2.60 2.60 2.59 2.59 81 82 83 84 3.69 3.84 3.99 4.15 19.93 20.00 20.06 20.12 19 18 17 16 8.5 13.05 4.05 0.08 .5 8.4 0.87 0.64 2.58 85 4.31 20.18 15 8.6 12.95 3.98 0.07 .4 86 4.47 20.23 14 8.7 12.84 3.91 0.06 .3 8.5 0.84 0.67 2.58 87 4.63 20.28 13 8.8 12.73 3.84 0.05 .2 8.6 0.81 0.70 2.57 88 4.80 20.33 12 8.9 12.62 3.77 0.04 .1 8.7 0.78 0.73 2.56 89 4.97 20.37 11 8.8 0.76 0.76 2.55 9.0 12.52 3.71 0.03 1.0 8.9 0.73 0.78 2.54 90 5.14 20.41 10 9.1 12.41 3.64 003 0.9 91 5.31 20.45 09 9.2 12.30 3.58 0.02 0.8 9.0 0.70 0.81 2.54 92 5.48 20.48 08 9.8 12.20 3.52 0.02 0.7 9.1 0.67 0.84 2.53 93 5.65 20.51 07 9.4 12.09 3.45 0.02 0.6 9.2 0.64 0.87 2.52 94 5.83 20.53 06 9.3 0.62 0.90 2.51 9.5 11.99 3.39 0.01 0.5 9.4 0.59 0.92 2.50 95 6.01 20.55 05 9.6 11.88 3.33 0.01 0.4 96 6.19 20.57 04 9.7 11.78 3.26 0.01 0.3 9.5 0.57 0.95 2.48 97 6.37 20.58 03 9.8 11.67 3.20 0.00 0.2 9.6 0.54 0.98 2.47 98 6.55 20.59 02 9.9 11.57 3.14 0.00 0.1 9.7 0.52 1.01 2.46 99 6.73 20.60 01 10.0 11.47 3.08 0.00 0.0 9.8 0.50 1.04 2.44 100 6.92 20.60 00 9.9 0.47 1.06 2.43 Days 8O 70 60 Days. 10.0 0.45 1.09 2.42 Days. 300 2OO Days. 273 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 -f- 48".9 sin. z. Days. O 10 !20 30 40 SO 60 70 8O 90 Hit. o.b 40.00 40.67 42.76 46.22 50.93 56.76 63.55 71.08 79.14 87.48 0.1 40.00 40.68 42.78 46.26 50.98 56.82 63.62 71.15 79.22 87.56 0.2 40.00 40.70 42.81 46.30 51.03 56.88 63.69 71.23 79.30 87.64 0.3 40.00 40.71 42.84 46.34 51.09 56.95 63.76 71.31 79.38 87.73 0.4 40.00 40.73 42.87 46.38 51.14 57.01 63.83 71.39 79.46 87.81 0.5 40.00 40.74 42.90 46.42 51.19 57.07 63.91 71.47 79.55 87.89 0.6 40.00 40.76 42.93 46.46 51.25 57.14 63.98 71.55 79.63 87.98 0.7 40.00 40.77 42.96 46.50 51.30 57.20 64.05 71.63 79.71 88.06 0.8 40.00 40.79 42.99 46.54 51.36 57.27 64.12 71.71 79.79 88.15 0.9 40.00 40.80 43.02 46.58 51.41 57.33 64.19 71.79 79.87 88.23 1.0 40.00 40.82 43.05 46.63 51.47 57.40 64.27 71.87 79.96 88.32 1.1 40.00 40.83 43.08 46.67 51.52 57.46 64.34 71.94 80.04 88.40 1.2 40.00 40.85 43.11 46.71 51.57 57.53 64.41 72.02 80.12 88.48 1.3 40.00 40.86 43.14 46.75 51.63 57.59 64.48 72.10 80.20 88.57 1.4 40.00 40.88 43.17 46.80 51.68 57.66 64.56 72.18 80.29 88.65 1.5 40.01 40.90 43.20 46.84 51.73 57.72 64.63 72.26 80.37 88.74 1.6 40.01 40.91 43.2.'} 46.88 51.79 57.79 64.70 72.34 80.45 88.82 1.7 40.01 40.98 43.2>> 4f>.93 51.84 57.85 64.78 72.42 80.54 88.90 1.8 40.01 40.94 43.29 46.97 51.90 57.92 64.85 72.50 80.62 88.99 1.9 40.01 40.96 43.32 47.01 51.95 57.98 64.92 72.58 80.70 89.07 2.0 40.02 40.98 43.35 47.06 52.01 58.05 65.00 72.66 80.79 89.16 2.1 40.02 40.99 43.38 47.10 52.06 58.11 65.07 72.73 80.87 89.24 2.2 40.04 41.01 43.41 47.14 52.12 - 58.18 65.14 72.81 80.95 89.33 2.3 40.02 41.03 43.44 47.19 52.17 58.24 65.22 72.89 81.03 89.41 2.4 40.03 41.04 43.47 47.23 52.23 58.31 65.29 72.97 81.12 89.50 2.5 40.03 41.06 43.50 47.27 52.28 58.37 65.36 73.05 81.20 89.58 2.6 40.03 41.08 43.53 47.32 52.34 58.44 65.44 73.13 81.28 89.67 2.7 4004 41.09 43.56 47.36 52.40 58.51 65.51 73.21 81.37 89.75 2.8 40.04 41.11 43.59 47.41 52.45 58.57 65.59 73.29 81.45 89.84 2.9 40.04 41.13 43.62 47.45 52.51 58.64 65.66 73.37 81.53 89.92 3.0 40.05 41.15 43.66 47.50 52.57 58.71 65.74 73.45 81.62 90.01 3.1 40.05 41.16 43.69 47.54 52.62 58.77 65.81 73.53 81.70 90.10 3.2 40.06 41.18 43.72 47.59 52.68 58.84 65.88 73.61 81.78 90.18 3.3 40.06 41.20 43.75 47.63 52.74 58.90 65.96 73.69 81.86 90.27 3.4 40.07 41.22 43.78 47.68 52.79 58.97 66.03 73.77 81.95 90.35 3.5 40.07 41.24 43.82 47.72 52.85 59.04 66.10 73.85 82.03 90.43 3.6 40.08 41.26 43.85 47.77 52.91 59.10 66.18 73.93 82.11 90.52 3.7 40.08 41.28 43.88 47.82 52.96 59.17 66.25 74.01 82.20 90.60 3.8 40.09 41.30 43.91 47.86 53.02 59.24 66.33 74.09 82.28 90.69 3.9 40.09 41.32 43.94 47.91 53.08 59.30 66.40 74.17 82.36 90.77 4.0 4010 41.34 43.98 47.96 53.14 59.37 66.48 74.25 82.45 90.85 4.1 40.10 41.36 44.01 48.00 53.19 59.44 66.66 74.88 82.53 90.94 4.2 40.11 41.38 44.04 48.05 53.25 59.50 66.63 74.41 82.61 91.02 4.3 40.11 41.40 44.08 48.09 53.31 59.57 66.70 74.49 82.70 91.11 4.4 40. 12 41.42 44.11 48.14 53.37 59.64 66.78 74.57 82.78 91.19 4.5 40.12 41.44 44.14 48.18 53.43 59.71 66.85 74.65 82.86 91.28 4.6 40.13 41.46 44.18 48.23 53.48 59.77 66.93 74.73 82.95 91.36 4.7 40.11 41.48 44.21 48.28 58 JM 59.84 67.00 74.81 83.03 91.44 4.8 40.14 41.50 44.25 48.32 53.60 59.91 67.08 74.89 83.12 91.53 L9 U>. 16 41.09 44.28 48.37 53.66 59.98 67.15 74.97 83.20 !)l.(il 5.0 40.16 n.r.i 44.32 48.42 53.72 60.05 67.23 75.06 83.29 91.69 274 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 -f- 48".9 sin. z. Days. O 10 30 30 4O 5O 6O 70 80 9O Days. II II II (f II II it II „ II 5.0 40.16 41.54 44.32 48.42 53.72 60.05 67.23 75.06 83.29 91.69 5.1 40.16 41.56 44.35 48.46 53.77 60.11 67.30 75.14 83.37 91.78 5.2 40.17 41.58 44.39 48.51 53.83 60.18 67.38 75.22 83.45 91.86 5.3 40.18 41.60 44.42 48.56 53.89 . 60.25 67.45 75.30 83.54 91.95 5.4 40.18 41.62 44.46 48.61 53.95 60.32 67.53 75.38 83.62 92.03 5.5 40.19 41.65 44.49 48.66 54.01 60.39 67.61 75.46 83.70 92.11 5.6 40.20 41.67 44.53 48.70 54.07 60.45 67.68 75.54 83.79 92.20 5.7 40.20 41.69 44.57 48.75 54.13 60.52 67.76 75.62 83.87 92.28 5.8 40.21 41.71 44.60 48.80 54.19 60.59 67.83 75.70 83.96 92.37 5.9 40.22 41.73 44.64 48.85 54.25 60.66 67.91 75.78 84.04 92.45 6.0 40.23 41.76 44.68 48.90 54.31 60.73 67.99 75.87 84.13 92.53 6.1 40.23 41.78 44.71 48.94 54.37 60.79 68.06 75.95 84.21 92.62 6.2 40.24 41.80 44.75 48.99 54.43 60.86 68.14 76.03 84.29 92.70 6.3 40.25 41.82 44.78 49.04 54.49 60.93 68.21 76.11 84.37 92.78 6.4 40.26 41.85 44.82 49.09 54.55 61.00 68.29 76.19 84.46 92.87 6.5 40.27 41.87 44.85 49.14 54.61 61.07 68.37 76.27 84.54 92.95 6.6 40.28 41.89 44.89 49.19 54.67 61.14 68.44 76.35 84.62 93.03 6.7 40.29 41.92 44.93 49.24 54.73 61.21 68.52 76.43 84.71 93.12 6.8 40.30 41.94 44.96 49.29 54.79 61.28 68.59 76.51 84.79 93.20 6.9 40.31 41.96 45.00 49.34 54.85 61.35 68.67 76.59 84.87 93.28 7.0 40.32 41.99 45.04 49.39 54.91 61.42 68.75 76.68 84.96 93.36 7.1 40.33 42.01 45.07 49.44 54.97 61.49 68.82 76.76 85.04 93.45 7.2 40.34 42.03 45.11 49.49 55.03 61.56 68.90 76.84 85.12 93.53 7.3 40.35 42.06 45.15 49.54 55.09 61.63 68.98 76.92 85.21 93.62 7.4 40.36 42.08 45.19 49.59 55.15 61.70 69.05 77.00 85.29 93.70 7.5 40.37 42.10 45.23 49.64 55.21 61.77 69.13 77.08 85.37 93.79 7.6 40.38 42.13 45.26 49.69 55.27 61.84 69.21 77.16 85.46 93.87 7.7 40.39 42.15 45.30 49.74 55.33 61.91 69.28 77.24 85.54 93.95 7.8 40.40 42.18 45.34 49.79 55.39 61.98 69.36 77.32 85.63 94.04 7.9 40.41 42.20 45.38 49.84 55.45 62.05 69.44 77.40 85.71 94.12 8.0 40.42 42.23 45.42 49.89 55.52 62.12 69.52 77.49 85.80 94.20 8.1 40.43 42.25 45.45 49.94 55.58 62.19 69.59 77.57 85.88 94.29 8.2 40.44 42.28 45.49 49.99 55.64 62.26 69.67 77.65 85.96 94.37 8.3 40.15 42.30 45.53 50.04 55.70 62.33 69.75 77.73 86.05 94.46 8.4 40.46 42.33 45.57 50.09 55.76 62.40 69.83 77.81 86.13 94.54 8.5 40.48 42.35 45.61 50.14 55.83 62.47 69.91 77.90 86.21 94.63 8.6 40.49 42.38 45.65 50.19 55.89 62.54 69.98 77.98 86.30 94.71 8.7 40.50 42.41 45.69 50.24 55.95 62.61 70.06 78.06 86.38 94.79 8.8 40.51 42.43 45.73 50.29 56.01 62.68 70.14 78.14 86.47 94.88 . 8.9 40.52 42.46 45.77 50.34 56.07 62.75 70.22 78.22 86.55 94.96 9.0 4054 42.49 45.81 50.40 56.14 62.83 70.30 78.31 86.64 95.04 9.1 40.55 42.51 45.85 50.45 56.20 62.90 70.37 78.39 86.72 95.13 9.2 40.56 42.54 45.89 50.50 56.26 62.97 70.45 78.47 86.80 95.21 9.3 40.58 42.57 45.93 50.55 56.32 63.04 70.53 78.55 86.89 95.29 9.4 40.59 42.59 45.97 50.61 56.38 63.11 70.61 78.64 86.97 95.38 9.5 40.60 42.62 46.01 50.66 56.45 63.19 70.69 78.72 87.05 95.46 9.6 40.62 42.65 46.05 50.71 56.51 6326 70.76 78.80 87.14 95.54 9.7 40.63 42.67 46.09 50.77 56.57 63.33 70.84 78.89 87.22 95.63 9.8 40.64 42.70 46.13 50.82 56.63 63.40 70.92 78.97 87.31 95.71 9.9 40.65 42.73 46.17 50.87 56.69 63.47 71.00 79.05 87.39 95.79 10.0 40.67 42.76 46.22 50.93 56.761 63.55 71.08 79.14 87.48 95.87 275 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 + 48".9 sin. *. Days. 100 110 130 130 140 1.1O 16O 17O ISO Days. 0.0 95.87 104.05 111.79 118.85 125.02 130.13 134.02 136.58 137.73 0.1 95.96 104.13 111.87 118.92 125.08 130.18 134.06 136.60 137.74 0.2 96.04 104.21 111.94 118.99 125.14 130.22 134.09 136.62 137.74 0.3 96.12 104.29 112.02 1 19.05 125.19 130.27 134.12 136.64 137.75 0.4 96.21 104.37 112.09 119.12 125.25 130.31 134.15 136.66 137.75 0.5 96.29 104.45 112.17 119.19 125.31 130.36 134.18 136.67 137.75 0.6 96.37 104.53 1 12.24 119.25 125.36 130.40 134.22 136.69 137.76 0.7 96.46 104.61 112.31 119.32 125.42 130.45 134.25 136.71 137.76 0.8 96.54 104.69 112.39 119.38 125.47 130.49 134.28 136.73 137.76 0.9 96.62 104.77 112.46 119.45 125.53 130.54 134.31 136.75 137.76 1.0 96.70 104.85 112.53 119.51 125.58 130.58 134.34 136.76 137.77 .1 96.79 104.93 112.61 119.58 125.64 130.63 134.37 136.78 137.77 .2 96.87 105.01 112.68 119.64 125.69 130.67 134.40 136.80 137.77 .3 96.95 105.09 112.75 119.71 125.75 130.71 134.43 136.82 137.77 .4 97.04 105.17 112.83 119.77 125.80 130.76 134.46 136.83 137.77 .5 97.12 105.25 112.90 119.84 125.86 130.80 134.49 136.85 137.78 .6 97.20 105.33 112.97 119.90 125.91 130.84 134.52 136.87 137.78 .7 97.29 105.41 118.05 119.97 125.97 130.89 134.55 136.88 137.78 .8 97.37 105.49 113.12 120.03 126.02 130.93 134.58 136.90 137.78 .9 97.45 105.57 113.19 120.10 126.08 130.97 134.61 136.92 137.78 2.0 97.53 105.64 113.26 120.16 126.13 131.01 134.64 136.93 137.79 2.1 97.6-2 105.72 113.34 120.23 126.19 131.06 134.67 136.95 137.79 2.2 97.70 105.80 113.41 120.29 126.24 131.10 134.70 136.96 137.79 2.3 97.78 105.88 113.48 120.36 126.30 131.14 134.73 136.98 137.79 2.4 97.87 105.96 113.56 120.42 126.35 131.18 134.76 136.99 137.79 2.5 97.95 106.04 113.63 120.49 126.41 131.22 134.79 137.01 137.80 2.6 98.03 106.12 113.70 120.55 126.46 131.27 134.82 137.02 137.80 2.7 98.12 106.20 . 113.78 120.62 126 51 131.31 134.85 137.04 137.80 2.8 98.20 106.28 113.85 120.68 126.57 131.35 134.88 137.05 137.80 2.9 98.28 106.36 113.92 120.74 126.62 131.39 134.91 137.07 137.80 3.0 98.36 106.43 113.99 120.80 126.67 131.43 134.93 137.08 137.80 3.1 98.45 106.51 114.07 120.87 126.73 131.48 134.96 137.10 137.80 3.2 98.53 106.59 114.14 120.93 126.78 131.52 134.99 137.11 137.80 3.3 98.61 106.67 114.21 120.99 126.83 131.56 135.02 137.12 137.80 3.4 98.69 106.75 114.28 121.06 126.89 131.60 135.05 137.14 137.80 3.5 98.77 106.82 114.35 121.12 126.94 131.64 135.07 137.15 137.80 3.6 98.86 106.90 1 1 I. i:: 121.18 126.99 131.68 135.10 137.16 137.79 3.7 98.94 106.98 114.50 121.25 127.05 131.72 135.13 137.18 137.79 3.8 99.02 107.06 114.57 121.31 127.10 131.76 135.16 137.19 137.79 3.9 99.10 107.11 1 14.64 121.37 127.15 131.80 135.19 137.20 137.79 4.0 99.18 107.21 114.71 121.43 127.20 131.84 135.21 137.21 137.79 4.1 99.27 107.29 1 14.79 121.50 127.26 j:n.H8 135.24 137.23 137.78 4.2 M.K, 107.37 1 14.86 121.56 127.31 131.92 135.27 137.24 137.78 4.3 99.43 107.45 1 14.93 121.62 127.36 131.96 135.29 137.25 137.78 4.4 99.51 107.53 115.00 121.69 127.41 132.00 135.32 137.27 137.78 4.5 !M).5!) 107.60 115.07 121.75 127.46 132.04 LS&Sfi 137.28 137.78 4.6 99.68 107.68 115.14 121.81 127.52 132.08 186.87 137.29 137.77 4.7 !)!).7fi 107.7(5 115.21 121.88 127.57 132.12 186.40 137.31 137.77 I > 99.84 107. HI 115.28 121.94 127.62 132.16 135.42 137.32 137.77 4.9 99.92 I07.92 116.88 122.00 127.67 132.20 186.46 137.33 137.77 5.0 100.00 107.99 115.42 122.06 127.72 132.21 135.47 137.34 137.77 276 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 + 48".9 sin. *. Days. 100 no 130 130 140 130 16O 17O 180 llavs. 5.0 100.00 107.99 115.42 122.06 127.72 132.24 135.47 137.34 137.77 5.1 100.09 108.07 115.49 122.13 127.78 132.28 135.50 137.36 137.76 5.2 100.17 108.15 115.56 122.19 127.83 132.32 135.52 137.37 137.76 5.3 100.25 108.23 115.63 122.25 127.88 132.36 135.55 137.38 137.76 5.4 100.33 108.30 115.70 122.31 127.93 132.40 135.57 137.39 137.76 5.5 100.41 108.38 115.77 122.37 127.98 132.43 135.60 137.40 137.75 5.6 100.50 108.46 115.84 122.43 128.03 132.47 135.62 137.41 137.75 5.7 100.58 108.53 115.91 122.49 128.08 132.51 13565 137.42 137.75 5.8 100.66 108.61 115.98 122.55 128.13 132.55 135.67 137.43 137.74 5.9 100.74 108.69 116.05 122.61 128.18 132.59 135.70 137.44 137.74 6.0 100.82 108.76 116.12 122.67 128.23 132.62 135.72 137.45 137.73 6.1 100.91 108.84 116.19 122.73 128.28 132.66 135.75 137.46 137.72 6.2 100.99 108.92 116.26 122.79 128.33 132.70 135.77 137.47 137.72 6.3 101.07 109.00 116.33 122.85 128.38 132.74 135.80 137.48 137.71 6.4 101.15 109.07 116.40 122.91 128.43 132.77 135.82 137.49 137.71 6.5 101.23 109.15 116.47 122.97 128.48 132.81 135.85 137.50 137.70 6.6 101.31 109.23 116.54 123.03 128.53 132.85 135.87 137.51 137.70 6.7 101.39 109.30 116.61 123.09 128.58 132.88 135.89 137.52 137.69 6.8 101.47 109.38 116.68 123.15 128.63 132.92 135.92 137.53 137.69 6.9 101.55 109.46 116.75 123.21 128.68 132.96 135.94 137.54 137.68 7.0 101.63 109.53 116.81 123.27 128.72 132.99 135.96 137.54 137.68 7.1 101.72 109.61 116.88 123.33 128.77 133.03 135.99 137.55 137.67 7.2 101.80 109.69 116.95 123.39 128.82 133.07 136.01 137.56 137.67 7.3 101.88 109.76 117.02 123.45 128.87 133.10 136.03 137.57 137.66 7.4 101.96 109.84 117.09 123.51 128.92 133.14 136.05 137.58 137.65 7.5 102.01 109.92 117.16 123.57 128.9R 133.18 13G.07 137.53 137.65 7.6 102.12 109.99 117. 23 123.63 129.01 133.21 136.10 137.59 137.64 7.7 102.20 110.07 117.30 123.69 129.06 133.25 136.12 137.60 137.64 7.8 102.28 110.14 117.37 123.75 129.11 133.28 136.14 137.61 137.63 • 7.9 102.36 110.22 117.41 123.81 129.1ti 133.32 136.16 137.62 137.63 8.0 102.44 110.29 117.50 123.87 129.21 133.35 136.18 137.62 137.62 8.1 102.5! 110.37 117.57 123.i»3 129.25 133.. J9 l.S'1.2 . i 137.63 137.62 8.2 102.61 110.44 117.64 123.99 129.30 133.42 136.23 137.63 137.61 8.3 102.69 110.52 117.71 124.05 129.35 133.46 136.25 137.64 137.60 8.4 102.77 110.59 117.78 124.11 129.39 133.49 136.27 137.64 137.59 8.5 102.85 110.67 1 17.84 124.16 129.44 133.53 136.29 137.65 137.58 8.6 102.93 110.74 117.91 124.22 129.49 133.56 136.31 137.65 137.58 8.7 103.01 1 10.82 117.98 124.28 129.53 133.59 136.33 137.66 137.57 8.8 103.09 110.89 118.05 124.34 129.58 133.63 136.35 137.67 137.56 8.9 103.17 110.97 118.12 124.40 129.63 133.66 136.37 137.67 137.55 9.0 103.25 111.04 118.18 124.45 129.67 133.69 136.39 137.68 137.54 9.1 103.33 111.12 118.25 124.51 129.72 133.73 136.41 137.68 137.54 9.2 103.41 111.19 118.32 124.57 129.77 133.76 136.43 137.69 137.53 9.3 103.49 111.27 118.39 124.63 129.81 133.79 136.45 137.69 137.52 9.4 103.57 111.34 118.45 124.68 129.86 133.83 136.47 137.70 137.51 9.5 103.65 111.42 118.52 124.74 129.91 133.86 136.49 137.70 137.50 9.6 103.73 111.49 118.59 124.80 129.95 133.89 136.51 137.71 137.49 9.7 103.81 111.57 118.65 124.85 130.00 133.93 136.53 137.71 137.48 9.8 103.89 111.64 118.72 124.91 130.04 133.96 136.55 137.72 137.47 9.9 103.97 111.72 118.79 124.97 130.09 133.99 136.57 137.72 137.46 10.0 104.05 111.79 118.85 125.02 130.13 134.02 136.58 137.73 137.45 277 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 -}- 48".9 sin. z. Days. 190 300 «IO 22O 230 24O 350 36O 37O Days. 0.0 137.45 135.72 132.62 128.23 122.67 116.12 108.76 100.82 92.53 0.1 137.44 135.70 132.59 128.18 122.6 1 116.05 108.69 100.74 92.45 0.2 137.43 135.67 132.55 128.13 122.55 115.98 108.61 100.66 92.37 0.3 137.42 135.65 132.51 128.08 122.49 115.91 108.53 100.58 92.28 0.4 137.41 135.62 132.47 128.03 122.43 115.84 108.46 100.50 92.20 0.5 137.40 135.60 132.43 127.98 122.37 115.77 108.38 100.41 92.11 0.6 137.39 135.57 132.40 127.93 122.31 115.70 108.30 100.33 92.03 0.7 137.38 135.55 132.36 127.88 122.25 115.63 108.23 100.25 91.95 0.8 137.37 135.52 132.32 127.83 122.19 115.56 108.15 100.17 91.86 0.9 137.36 135.50 132.28 127.78 122.13 115.49 108.07 100.09 91.78 1.0 137.34 135.47 132.24 127.72 122.06 115.42 107.99 100.00 91.69 .1 137.33 135.45 132.20 127.67 122.00 115.35 107.92 99.92 91.61 .2 137.32 135.42 132.16 127.62 121.94 11528 107.84 99.84 91.53 .3 137.31 135.40 132.12 127.57 121.88 115.21 107.76 99.76 91.44 .4 137.29 135.37 132.08 127.52 121.81 115.14 107.68 99.68 91.36 .5 137.28 135.35 132.04 127.46 121.75 115.07 107.60 99.59 91.28 .6 137.27 135.32 132.00 127.41 121.69 115.00 107.53 99.51 91.19 .7 137.25 135.29 131.96 127.36 121.62 114.93 107.45 99.43 91.11 .8 137.24 135.27 131.92 127.31 121.56 1 14.86 107.37 99.35 91.02 1.9 137.23 135.24 131.88 127.26 121.50 1J4.79 107.29 99.27 90.94 2.0 137.21 135.21 131.84 127.20 121.43 114.71 107.21 99.18 90.85 2.1 137.20 135.19 131.80 127.15 121.37 114.64 107.14 99.10 90.77 2.2 137.19 135.16 131.76 127.10 121.31 114.57 107.06 99.02 90.69 2.3 137.18 135.13 131.72 127.05 121.25 114.50 106.98 98.94 90.60 2.4 137.16 135.10 131.68 126.99 121.18 114.43 106.90 98.86 90.52 2.5 137.15 135.07 131.64 126.94 121.12 1 14.35 106.82 98.77 90.43 2.6 137.14 135.05 131.60 126.89 121.06 1 14.28 106.75 98.69 90.35 2.7 137.12 135.02 131.56 126.83 120.99 114.21 106.67 98.61 90.27 2.8 137.11 134.99 131.52 126.78 120.93 114.14 106.59 98.53 90.18 2.9 137.10 134.96 131.48 126.73 120.87 114.07 106.51 98.45 90.10 3.0 137.08 ISAM 131.43 126.67 120.80 113.99 106.43 98.36 90.01 3.1 137.07 131.91 131.39 126.62 120.74 1 13.92 106.36 98.28 89.92 3.2 137.05 134.88 131.35 126.57 120.68 113.85 106.28 98.20 89.84 3.3 137.01 134.85 131.31 126.51 120.62 1 13.78 106.20 98.12 89.75 3.4 137.02 134.82 131.27 126.46 120.55 1 13.70 106.12 98.03 89.67 3.5 137.01 131.79 131.22 126.41 120.49 113.63 106.04 97.95 89.58 3.6 136.99 131.76 131.18 126.35 120.42 113.56 105.96 97.87 89.60 3.7 136.98 134.73 131.14 126.30 120.36 1 13.48 105.88 97.78 89.41 3.8 136.96 134.70 131.10 126.24 120.28 118.41 105.80 97.70 89.83 3.9 136.95 134.67 131.06 126.19 120.23 113.34 105.72 97.62 89.24 4.0 136.93 131.64 131.01 126.13 120.16 113.26 105.64 97.53 89.16 4.1 186.93 131.61 130.97 126.08 120.10 113.19 106.53 97.45 89.07 4.2 L8&M i:il.:.s 130.93 126.02 120.03 113.12 105.49 97.37 HN.it!) 4.3 136.88 131.55 130.89 125.97 119.97 113.05 105.41 97.29 88.90 1.1 13G.87 131.52 130.84 126.91 1 19.90 112.97 105.33 97.20 88.82 4.5 136.85 184.46 130.80 125.86 1 19.8-1 1 12.90 105.86 97.12 88.74 4.6 136.83 131.16 180.76 126.80 119.77 1 12.83 106.17 97.04 88,66 4.7 136.82 134.48 130.71 126.75 119.71 1 12.75 105.09 96.95 88.57 4.8 136.80 131.40 130.67 125.69 119.61 1 12.68 l().r).()l 96.87 88.48 4.9 136.7H 131.37 130.63 125.64 119.58 112.61 104.98 96.79 88.40 5.0 188.78 131.31 130.58 125.58 119.51 1 12.53 104.85 96.70 88.32 278 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 -J- 48".9 sin. z. Days. 190 2OO 21O 220 2»O 24O MO 360 270 Haya. 5.0 136.76 134.34 130.58 125.58 119.51 112.53 104.85 96.70 88.32 5.1 136.75 134.31 130.54 125.53 119.45 112.46 104.77 96.62 88.23 5.2 136.73 134.28 130.49 125.47 119.38 112.39 104.69 96.54 88.15 5.3 136.71 134.25 130.45 125.42 119.32 112.31 104.61 96.46 88.06 5.4 136.69 134.22 130.40 125.36 119.25 1 12.24 104.53 96.37 87.98 5.5 136.67 134.18 130.36 125.31 119.19 112.17 104.45 96.29 87.89 5.6 136.66 134.15 130.31 125.25 119.12 112.09 104.37 96.21 87.81 5.7 136.64 134.12 130.27 125.19 119.05 112.02 104.29 96.12 87.73 5.8 136.62 134.09 130.22 125.14 118.99 111.94 104.21 96.04 87.64 5.9 136.60 134.06 130.18 125.08 118.92 111.87 104.13 95.96 87.56 6.0 136.58 134.02 130.13 125.02 118.85 111.79 104.05 95.87 87.48 6.1 136.57 133.99 130.09 124.97 118.79 111.72 103.97 95.79 87.39 6.2 136.55 133.96 130.04 124.91 118.72 111.64 103.89 95.71 87.31 6.3 136.53 133.93 130.00 124.85 118.65 111.57 103.81 95.63 87.22 6.4 136.51 133.89 129.95 124.80 118.59 111.49 103.73 95.54 87.14 6.5 136.49 133.86 129.91 124.74 118.52 111.42 103.65 95.46 87.05 6.6 136.47 133.83 129.86 124.68 118.45 111.34 103.57 95.38 86.97 6.7 136.45 133.79 129.81 124.63 118.39 111.27 103.49 95.29 86.89 6.8 136.43 133.76 129.77 121.57 118.32 111.19 103.41 95.21 86.80 6.9 136.41 133.73 129.72 124.^ 1 18.25 111.12 103.33 95.13 86.72 7.0 136.39 133.69 129.67 124.45 118.18 111.04 103.25 95.04 86.64 7.1 136.37 133.66 129.63 124.40 118.12 110.97 103.17 94.96 86.55 7.2 136.35 133.63 129.58 124.34 118.05 110.89 103.09 94.88 86.47 7.3 136.33 133.59 129.53 124.28 117.98 110.82 103.01 94.79 86.38 7.4 136.31 133.56 129.49 124.22 117.91 110.74 102.93 94.71 86.30 7.5 136.29 133.53 129.44 124.16 117.84 110.67 102.R5 94.C53 86.21 7.6 136.27 133.49 129.39 121.11 117.78 110.59 102.7 ", 94.54 86.13 7.7 136.25 133.46 129.35 124.05 117.71 110.52 102.69 94.46 86.05 7.8 136.23 133.42 129.30 123.99 117.64 110.44 102.61 94.37 85.96 7.9 136.21 133.39 129.25 123.93 117.57 110.37 102.53 94.29 85.88 8.0 136.18 133.35 129.20 123.87 117.50 110.29 102.44 94.20 85.80 8.1 136.16 13S.82 129. Hi 123.S1 117.44 110.22 10.'.3>: 94.12 85.71 8.2 136.14 133.28 129.11 123.75 117.37 110.14 102.28 94.04 85.63 8.3 136.12 133.25 129.06 123.69 117.30 110.07 102.20 93.95 85.54 8.4 136.10 133.21 129.01 123.63 1 17.23 109.99 102.12 93.87 85.46 8.5 136.07 133.18 128.96 123.57 117.16 109.92 102.04 93.79 85.37 8.6 136.05 133.14 128.92 123.51 117.09 109.84 101.96 93.70 85.29 8.7 136.03 133.10 128.87 123.45 1 17.02 109.76 101.88 93.62 85.21 8.8 136.01 133.07 128.82 123.39 116.95 109.69 101.80 93.53 85.12 8.9 135.99 133.03 128.77 123.33 . 116.88 109.61 101.72 93.45 85.04 9.0 135.96 132.99 128.72 123.27 116.81 109.53 101.63 93.36 84.96 9.1 135.94 132.96 128.68 123.21 116.75 109.46 101.55 93.28 84.87 9.2 135.92 132.92 128.63 123.15 116.68 109.38 101.47 93.20 84.79 9.3 135.89 132.88 128.58 123.09 116.61 109.30 101.39 93.12 84.71 9.4 135.87 132.85 128.53 123.03 116.54 109.23 101.31 93.03 84.62 9.5 135.85 132.81 128.48 122.97 116.47 109.15 101.23 92.95 84.54 9.6 135.82 132.77 128.43 122.91 116.40 109.07 101.15 92.87 84.46 9.7 135.80 132.74 128.38 122.85 116.33 109.00 101.07 92.78 84.37 9.8 135.77 132.70 128.33 122.79 116.26 108.92 100.99 92.70 84.29 9.9 135.75 132.66 128.28 122.73 116.19 108.84 100.91 92.62 84.21 10.0 135.72 132.62 128.23 122.67 116.12 108.76 100.82 92.53 84.13 i 279 TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 -f- 48".9 sin z. Days. 2SO 2OO 3OO 310 390 33O 34O 350 360 Days. 0.0 84.13 75.87 67.99 60.73 54.31 48.90 44.68 41.76 40.23 0.1 84.04 75.78 67.91 60.66 54.25 48.85 44.64 41.73 40.22 0.2 83.96 75.70 67.83 60.59 54.19 48.80 44.60 41.71 40.21 0.3 83.87 75.62 67.76 60.52 54.13 48.75 44.57 41.69 40.20 0.4 83.79 75.54 67.68 60.45 54.07 48.70 44.53 41.67 40.20 0.5 83.70 75.46 67.61 60.39 54.01 48.66 44.49 41.65 40.19 0.6 83.62 75.38 67.53 60.32 53.95 48.61 44.46 41.62 40.18 0.7 83.54 75.30 67.45 60.25 53.89 48.56 44.42 41.60 40.18 0.8 83.45 75.22 67.38 60.18 53.83 48.51 44.39 41.58 40.17 0.9 83.37 75.14 67.30 60.11 53.77 48.46 44.35 41.56 40.16 1.0 83.29 75.06 67.23 60.05 53.72 48.42 44.32 41.54 40.16 1.1 83.20 74.97 67.15 59.98 53.66 48.37 44.28 41.52 40.15 1.2 83.12 74.89 67.08 59.91 53.60 48.32 44.25 41.50 40.14 1.3 83.03 74.81 67.00 59.84 53.54 48.28 44.21 41.48 40.14 1.4 82.95 74.73 66.93 59.77 53.48 48.23 44.18 41.46 40.13 1.5 82.86 74.65 66.85 59.71 53.43 48.18 44.14 41.44 40.12 1.6 82.78 74.57 66.78 59.64 53.37 48.14 44.11 41.42 40.12 1.7 82.70 74.49 66.70 59.57 53.31 48.09 44.08 41.40 40.11 1.8 82.61 74.41 66.63 59.50 53.25 48.05 44.04 41.38 40.11 1.9 82.53 •74.33 66.55 59.44 53.19 48.00 44.01 41.36 40.10 2.0 82.45 74.25 66.48 59.37 53.14 47.96 43.98 41.34 40.10 2.1 82.36 74.17 66.40 59.30 53.08 47.91 43.94 41.32 40.09 2.2 82.28 74.09 66.33 59.24 53.02 47.86 43.91 41.30 40.09 2.3 82.20 74.01 66.25 59.17 52.96 47.82 43.88 41.28 40.08 2.4 82.11 73.93 66.18 59.10 52.91 47.77 43.85 41.26 40.08 2.5 82.03 73.85 66.10 59.04 52.85 47.72 43.82 41.24 40.07 2.6 81.95 73.77 66.03 58.97 52.79 47.68 43.78 41.22 40.07 2.7 81.86 73.69 65.96 58.90 52.74 47.63 43.75 41.20 40.06 2.8 81.78 73.61 65.88 58.84 52.68 47.59 43.72 41.18 40.06 2.9 81.70 73.53 65.81 58.77 52.62 47.54 43.69 41.16 40.05 3.0 81.62 73.45 65.74 58.71 52.57 47.50 43.66 41.15 40.05 3.1 81.53 73.37 65.66 58.64 52.51 47.45 43.62 41.13 '10.01 3.2 81.45 73.29 65.59 58.57 52.45 47.41 43.59 41.11 40.04 3.3 81.37 73.21 65.51 58.51 52.40 47.36 43.56 41.09 40.04 3.4 81.28 73.13 65.44 58.44 52.34 47.32 43.53 41.08 40.03 3.5 81.20 73.05 <;.->.:«; 58.37 52.28 47.27 43.50 41.06 40.03 3.6 81.12 72.97 65.29 r>H.:i i 52.23 47.23 43.47 41.04 40.03 3.7 81.03 72.89 65.22 58.24 52.17 47.19 43.44 41.03 40.02 3.8 80.95 72.81 65.14 58.18 52.12 47.14 48.41 41.01 40.02 3.9 80.87 72.73 65.07 58.11 52.06 47.10 43.38 40.99 40.02 4.0 80.79 72.66 65.00 58.05 52.01 47.06 48.36 40.98 40.02 4.1 80.70 72.58 64.92 57.98 51.95 47.01 43.32 40.96 40.01 4.2 80.62 72.50 64.88 57.92 51.90 46.97 .13.29 40.94 10.01 4.3 80.54 7-J I-.' 64.78 57.M5 51.84 46.93 43.26 40.93 40.01 4.4 80.45 78.84 64.70 57.79 51.79 46.88 4&3S 40.91 40.01 4.5 80.37 72.26 64.63 57.78 51.73 46.84 43.20 40.90 40.01 4.6 M£9 72.18 64.56 57.66 51.68 46.80 43.17 40.88 40.00 4.7 80.20 72.10 64.48 67.69 51.63 46.75 43.14 40.86 40.00 4.8 M.I2 72.02 iil.ll 57.53 51.57 46.71 43.11 40.85 40.00 4.9 NO.OI 71.94 64.34 57.46 51.52 46.67 43.08 40.8.'! 40.00 5.0 79.96 71.87 64.27 57. 10 51.47 46.63 43.05 40.82 40.00 2MO TABLE LXXXVIII. ARGUMENT 4. Equation = 88".9 + 48".9 sin z. Days. 98O 29O 3OO 310 32O 330 34O 3oO 360 [)ays. 5.0 79.96 71.87 64.27 57.40 51.47 46.63 43.05 40.82 40.00 5.1 79.87 71.79 64.19 57.33 51.41 46.58 43.02 40.80 40.00 5.2 79.79 71.71 64.12 57.27 51.36 46.54 42.99 40.79 40.00 5.3 79.71 71.63 64.05 57.20 51.30 46.50 42.96 40.77 40.00 5.4 79.63 71.55 63.98 57.14 51.25 46.46 42.93 40.76 40.00 5.5 79.55 71.47 63.91 57.07 51.19 46.42 42.90 40.74 40.00 5.6 79.46 71.39 63.83 57.01 51.14 46.38 42.87 40.73 40.00 5.7 79.38 71.31 63.76 56.95 51.09 46.34 42.84 40.71 40.00 5.8 79.30 71.23 63.69 56.88 51.03 46.30 42.81 40.70 40.00 5.9 79.22 71.15 63.62 56.82 50.98 46.26 42.78 40.69 40.00 6.0 79.14 71.08 63.55 56.76 50.93 46.22 42.76 40.67 40.00 6.1 79.05 71.00 63.47 56.69 50.87 46.17 42.73 40.65 40.00 6.2 78.97 70.92 63.40 56.63 50.82 46.13 42.70 40.64 40.00 6.3 78.89 70.84 63.33 56.57 50.77 46.09 42.67 40.63 " 40.00 6.4 78.80 70.76 63.26 56.51 50.71 46.05 42.65 40.62 40.00 6.5 78.72 70.69 63.19 56.45 50.66 46.01 42.62 40.60 40.00 6.6 78.64 70.61 63.11 56.38 50.61 45.97 42.59 40.59 40.00 6.7 78.55 70.53 63.04 56.32 50.55 45.93 42.57 40.58 40.00 6.8 78.47 70.45 62.97 56.26 50.50 45.89 42.54 40.56 40.01 6.9 78.39 70.37 62.90 56.20 50.45 45.85 42.51 40.55 40.01 7.0 78.31 70.30 62.83 56.14 50.40 45.81 42.49 40.54 40.01 7.1 78.22 70.22 62.75 56.07 50.34 45.77 42.46 40.52 40.01 7.2 78.14 70.14 62.68 56.01 50.29 45.73 42.43 40.51 40.01 7.3 78.06 70.06 62.61 55.95 50.24 45.69 42.41 40.50 40.02 7.4 77.98 69.98 62.54 55.89 50.19 45.65 42.38 40.49 4002 7.5 77.90 69.91 62.47 55.83 50.14 45.61 42.35 40.48 40.02 7.6 77.81 69.83 62.40 55.76 50.09 45.57 42.33 40.46 40.02 7.7 77.73 69.75 62.33 55.70 50.04 45.53 42.30 40.45 40.03 7.8 77.65 69.67 62.26 55.64 49.99 45.49 42.28 40.44 4003 7.9 77.57 69.59 62.19 55.58 49.94 45.45 42.25 40.43 40.03 8.0 77.49 69.52 62.12 55.52 49.89 45.42 42.23 40.42 40.04 8.1 77.40 69.44 62.05 55.45 49.84 45.38 42.20 40.41 40.04 8.2 77.32 69.36 61.98 55.39 49.79 45.34 42.18 40.40 40.04 8.3 77.24 69.28 61.91 55.33 49.74 45.30 42.15 40.39 40.05 8.4 77.16 69.21 61.84 55.27 49.69 45.26 42.13 40.38 40.05 8.5 77.08 69.13 61.77 55.21 49.64 45.23 42.10 40.37 40.06 8.6 77.00 69.05 61.70 55.15 49.59 45.19 42.08 40.36 40.06 8.7 76.92 68.98 61.63 55.09 49.54 45.15 42.06 40.35 40.07 8.8 76.84 68.90 61.56 55.03 49.49 45.11 42.03 40.34 40.07 8.9 76.76 68.82 61.49 54.97 49.44 45.07 42.01 40.33 40.08 9.0 76.68 68.75 61.42 54.91 49.39 45.04 41.99 40.32 40.08 9.1 76.59 68.67 61.35 54.85 49.34 45.00 41.96 40.31 40.09 9.2 76.51 68.59 6128 54.79 49.29 44.96 41.94 40.30 40.09 9.3 76.43 68.52 61.21 54.73 49.24 44.93 41.92 40.29 40.10 9.4 76.35 68.44 61.14 54.67 49.19 44.89 41.89 40.28 40.10 . 9.5 76.27 68.37 61.07 54.61 49.14 44.85 41.87 40.27 40.11 9.6 76.19 68.29 61.00 54.55 49.09 44.82 41.85 40.26 40.11 9.7 76.11 68.21 60.93 54.49 49.04 44.78 41.82 40.25 40.12 9.8 76.03 68.14 60.86 54.43 48.99 44.75 41.80 40.24 40.12 9.9 75.95 68.06 60.79 54.37 48.94 44.71 41.78 40.23 40.13 10.0 75.87 67.99 60.73 54.31 48.90 44.68 41.76 40.23 40.14 281 TABLES LXXXIX. XC. TABLES ARGUMENTS LXXXIX. 4. XC. 5. Days. O 10O 2OO BOO O 1OO 2OO 3OO 4OO Dava. 0 6.64 5.34 7.00 7.81 5.11 II 0.46 ft 8.75 0.88 8.26 01 6.61 5.34 7.02 7.80 9.16 0.40 8.82 0.80 8.35 02 6.59 5.34 7.04 .7.79 9.20 0.34 8.89 0.72 8.44 03 6.57 5.35 7.07 7.78 9.24 0.29 8.95 0.65 8.53 04 6.54 5.35 7.09 7.77 9.27 0.24 9.01 0.58 8.61 05 6.52 5.36 7.11 7.76 9.30 0.20 9.07 0.51 8.69 06 6.50 5.37 7.13 7.75 9.33 0.16 9.12 0.45 8.76 07 6.48 5.37 7.15 7.73 9.35 0.13 9.17 0.39 8.83 08 6.46 5.38 7.17 7.72 9.37 0.10 9.21 0.33 8.90 09 6.43 5.39 7.19 7.71 9.38 0.07 9.25 0.28 8.96 10 6.41 5.40 7.21 7.69 9.39 0.05 9.28 0.23 9.02 11 6.39 5.40 7.23 7.68 9.40 0.03 9.31 0.19 9.07 12 6.37 5.41 7.25 7.67 9.40 0.02 9.33 0.15 9.12 13 6.35 5.42 7.27 7.65 9.40 0.01 9.35 0.12 9.17 14 6.32 5.42 7.29 7.64 9.39 0.00 9.37 0.09 9.21 15 6.30 5.43 7.31 7.62 9.38 0.00 9.38 0.06 9.25 16 6.28 5.44 7.33 7.61 9.36 0.01 9.39 0.04 9.28 17 6.26 5.45 7.35 7.59 9.34 0.02 9.40 0.02 9.31 18 6.24 5.46 7.37 7.58 9.3! 0.03 9.40 0.01 9.33 19 6.22 5.47 7.39 7.56 9.28 0.05 9.39 0.00 9.35 20 6.20 5.48 7.41 7.55 9.25 0.07 9.38 0.00 9.37 21 6.18 5.49 7.43 7.53 9.21 0.09 9.37 0.00 9.38 22 6.16 5.50 7.45 7.52 9.17 0.12 9.35 0.01 9.39 23 6.14 5.51 7.46 7.50 9.12 0.15 9.33 0.02 9.40 21 6.12 5.52 7.48 7.49 9.07 0.19 9.30 0.03 9.40 25 6.10 5.53 7.50 7.47 9.01 0.23 9.27 0.05 9.40 26 6.08 5.54 7.51 7.45 8.95 0.28 9.24 0.07 9.39 27 6.06 5.56 7.53 7.43 8.89 0.33 9.20 0.10 9.38 28 6.04 5.57 7.55 7.41 8.82 0.39 9.16 0.13 9.36 29 6.02 5.58 7.56 7.40 8.75 0.45 9.11 0.16 9.33 30 6.00 5.60 7.58 7.38 8.68 0.51 9.06 0.20 9.30 31 5.98 5.61 7.59 7.36 8.60 0.58 9.00 0.24 9.27 32 5.96 5.62 7.61 7.34 8.52 0.65 8.94 0.29 9.24 33 5.94 5.64 7.62 7.32 8.43 0.72 8.88 0.34 9.20 34 5.92 5.65 7.64 7.30 8.34 0.80 8.81 0.40 9.16 35 5.90 5.67 7.65 7.28 8.25 0.88 8.74 0.46 9.11 36 5.88 5.68 7.66 7.26 8.15 0.97 8.67 0.52 9.06 37 5.86 5.70 7.68 7.24 8.05 1.06 8.59 0.59 9.00 38 5.85 5.71 7.69 7.22 7.95 1.15 8.51 0.66 8.94 39 5.83 5.73 7.70 7.20 7.85 1.25 8.42 0.74 8.88 40 5.81 5.75 7.72 7.18 7.74 1.35 8.33 0.82 8.81 41 5.79 5.76 7.73 7.16 7.63 1.45 8.24 0.90 8.74 42 5.77 5.78 7.74 7.14 7.52 1.56 8.14 0.99 8.66 43 5.76 5.80 7.75 7.12 7.40 1.67 8.04 1.08 8.58 44 5.74 5.81 7.76 7.10 7.28 1.78 7.94 1.17 8.50 45 46 5.73 5.71 5.83 5.85 7.77 7.78 7.08 7.06 7.16 7.04 1.89 2.01 7.84 7.73 1.26 1.36 8.41 .8.3:? 47 5.70 5.87 7.79 7.04 6.91 2.13 7.62 1.46 8.23 48 5.68 5.89 7.80 7.02 6.78 2.25 7.51 1.57 8.13 49 5.67 5.91 7.81 7.00 6.65 2.37 7.39 1.68 8.03 50 5.65 5.93 7.82 6.98 6.52 2.49 7.27 1.79 7.93 282 TABLES LXXXIX. XC. TABLES ARGUMENTS LXXXIX. 4. XC. 5. Days. O 1OO «OO »OO O 100 2OO 3OO 4OO Dim. 50 5.65 5.93 fl 7.82 6.98 6.52 2.49 7.27 1.79 7.93 51 5.64 5.95 7.83 6.96 6.39 2.62 7.15 1.90 7.83 52 5.62 5.97 7.84 6.94 6.26 2.75 7.03 2.02 7.72 53 5.61 5.99 7.84 6.91 6.12 2.88 6.90 2.14 7.61 54 5.59 6.01 7.85 6.89 5.98 3.01 6.77 2.26 7.49 55 5.58 6.03 7.86 6.87 5.84 3.15 6.64 2.38 7.37 56 5.57 6.05 7.87 6.85 5.70 3.29 6.51 2.51 7.25 57 5.55 6.07 7.87 6.83 5.56 3.43 6.38 2.64 7.13 58 5.54 6.09 7.88 6.80 5.42 3.57 6.25 2.77 7.01 59 5.53 6.11 7.89 6.78 5.28 3.71 6.11 2.90 6.88 60 5.51 6.13 7.89 6.76 5.14 3.85 5.97 3.03 6.75 61 5.50 6.15 7.90 6.74 4.99 3.99 5.83 3.17 6.62 62 5.49 6.17 7.91 6.72 4.85 4.13 5.69 3.30 6.49 63 5.48 6.19 7.91 6.69 4.71 4.27 5.55 3.44 6.36 64 5.47 6.21 7.91 6.67 4.56 4.41 5.41 3.58 6.23 65 5.46 6.23 7.92 6.65 4.42 4.55 5.26 3.72 6.09 66 5.45 6.25 7.92 6.62 4.28 4.70 5.12 3.86 5.95 67 5.44 6.27 7.92 6.60 4.14 4.84 4.98 4.00 5.81 68 5.44 6.30 7.92 6.58 3.99 4.98 4.84 4.14 5.67 69 5.43 6.32 7.92 6.55 3.85 5.13 4.69 4.28 5.53 70 5.42 6.34 7.93 6.53 3.71 5.27 4.55 4.42 5.39 71 5.41 6.36 7.93 6.51 3.57 5.41 4.41 4.57 5.25 72 5.40 6.38 7.93 6.49 3.43 5.55 4.26 4.71 5.11 73 5.40 6.41 7.93 6.47 3.29 5.69 4.12 4.86 4.96 74 5.39 6.43 7.93 6.44 3.15 5.83 3.98 5.01 4.82 75 5.38 6.45 7.93 6.42 3.02 5.97 3.84 5.15 4.68 76 5.38 6.47 7.93 6.40 2.89 6.11 3.70 5.29 4.53 77 5.37 6.49 7.93 6.38 2.76 6.25 3.56 5.43 4.39 78 5.37 6.52 7.93 6.36 2.63 6.39 3.42 5.57 4.25 79 5.36 6.54 7.93 6.33 2.50 6.52 3.28 5.71 4.11 80 5.36 6.56 7.92 6.31 2.37 6.65 3.14 5.85 3.96 81 5.35 6.58 7.92 6.29 2.25 6.78 3.01 5.99 3.82 82 5.35 6.60 7.92 6.27 2.13 6.91 2.88 6.13 3.68 83 5.34 6.63 7.92 6.25 2.01 7.03 2.75 6.27 3.54 84 5.34 6.65 7.92 6.23 1.89 7.15 2.62 6.40 3.40 85 5.34 6.67 7.91 6.21 1.78 7.27 2.49 6.53 3.26 86 5.34 6.69 7.91 6.19 1.67 7.39 2.36 6.66 3.12 87 5.34 6.71 7.90 6.17 1.56 7.51 2.24 6.79 2.99 88 5.33 6.74 7.90 6.15 1.46 7.62 2.12 6.92 2.86 89 5.33 6.76 7.89 6.13 1.36 7.73 2.00 7.05 2.73 90 5.33 6.78 7.88 6.11 1.26 7.84 1.88 7.17 2.60 91 5.33 6.80 7.88 6.09 1.16 7.95 1.77 7.29 2.47 92 5.33 6.82 7.87 6.07 1.07 8.05 1.66 7.41 2.34 93 5.33 6.85 , 7.86 6.05 0.98 8.15 1.55 7.52 2.22 94 5.33 6.87 7.86 6.03 0.89 8.25 1.45 7.63 2.10 95 5.33 6.89 7.85 6.01 0.81 8.34 1.35 7.74 1.98 96 5.33 6.91 7.84 5.99 0.73 8.43 1.25 7.85 1.87 97 5.33 6.93 7.83 5.97 0.66 8.52 1.15 7.96 1.76 98 5.34 6.96 7.82 5.95 0.59 8.60 1.06 8.06 1.65 99 5.34 6.98 7.82 5.93 0.52 8.68 0.97 8.16 1.54 100 5.34 7.00 7.81 5.91 0.46 8.75 0.88 8.26 1.44 283 TABLES XCI. XCII. TABLES ARGUMENTS XCI. 5. XCII. 78. Days O 100 2OO 30O 100 Days. O 10 2O 30 40 .10 Days Days. 0 V.57 1.85 0*.50 0.11 II .42 Days. 0.0 0.31 -0.15 1.72 4.85 9.18 14.25 Uaya. 10.0 01 1.58 1.84 0.49 0.12 .43 0.1 0.30 0.16 1.71 4.89 9.23 14.30 9.9 02 1.60 1.83 0.47 0.12 .45 0.2 0.29 0.17 1.77 4.93 9.28 14.35 9.8 03 1.61 1.82 0.46 0.13 .46 0.3 0.28 0.17 1.79 4.96 9.32 14.41 9.7 04 1.62 1.81 0.45 0.14 .47 0.4 0.27 0.18 1.82 5.00 9.37 14.46 9.6 05 1.63 1.80 0.44 0.15 .49 0.5 0.26 0.19 1.84 5.04 9.42 14.51 9.5 06 1.64 1.79 0.43 0.16 .50 0.6 0.25 0.20 1.87 5.08 9.47 14.56 9.4 07 1.66 1.78 0.41 0.16 .51 0.7 0.24 0.21 1.89 5.12 9.52 14.61 9.3 08 1.67 1.77 0.40 0.17 .53 0.8 0.23 0.21 1.92 5.15 9.56 14.67 9.2 09 1.68 1.76 0.39 0.18 .54 0.9 0.22 0.22 1.94 5.19 9.61 14.72 9.1 10 11 12 13 14 1.69 1.70 1.71 1.72 1.73 1.75 1.74 1.73 1.72 1.71 0.38 0.37 0.35 0.34 0.33 0.19 0.20 0.20 0.21 0.23 .55 .56 .58 1.59 1.60 1.0 1.1 1.2 1.3 1.4 0.21 0.20 0.19 0.19 0.18 0.23 0.24 0.25 0.26 0.27 1.97 2.00 2.02 2.05 2.07 5.23 5.27 5.31 5.35 5.39 9.66 9.71 9.76 9.81 9.86 14.77 14.82 14.88 14.93 14.99 9.0 8.9 8.8 8.7 8.6 1.5 0.17 0.28 2.10 5.43 9.91 15.04 8.5 15 1.74 1.70 0.32 0.24 1.61 1.6 0.16 0.29 2.13 5.47 9.96 15.09 8.4 16 1.75 1.69 0.31 0.25 1.62 1.7 0.15 0.30 2.15 r,.r>i 10.01 15.14 8.3 17 1.76 1.68 0.30 0.26 1.63 1.8 0.15 0.31 . 2.18 5.55 10.05 15.20 8.2 18 1.77 1.67 0.29 0.27 1.65 1.9 0.14 0.32 2.20 5.59 10.10 15.25 8.1 19 1.78 1.66 0.28 0.28 1.66 2.0 0.13 0.33 2.23 5.63 10.15 15.30 8.0 20 1.79 1.65 0.27 0.29 1.67 2.1 0.12 0.34 2.26 5.67 10.20 15.35 7.9 21 1.80 1.63 0.26 0.30 .68 2.2 0.12 0.35 2.29 5.71 10.25 15.40 7.8 22 1.81 1.62 0.25 0.31 .69 2.3 0.11 0.36 2..-U 5.75 10.30 15.46 7.7 23 1.82 1.61 0.24 0.32 .70 2.4 0.11 0.37 2.34 5.79 10.35 15.51 7.6 24 1.83 1.60 0.23 0.33 .71 2.5 0.10 0.38 2.37 5.83 10.40 15.56 7.5 25 1.84 1.59 0.22 0:34 .72 2.6 0.09 0.39 2.40 5.87 10.45 15.61 7.4 26 1.84 .57 0.21 0.36 .73 2.7 0.09 0.40 2.43 5.91 10.50 15.07 7.3 27 IM .56 0.20 0.37 .74 2.8 0.08 0.42 2.45 5.96 10.55 15.72 7.2 28 1.86 .55 0.19 0.38 1.75 2.9 0.08 0.43 2.48 6.00 10.60 15.78 7.1 29 1.87 .51 0.18 0.39 1.76 3.0 0.07 0.44 2.51 6.04 10.65 15.83 7.0 30 31 32 33 1.88 1.88 1.89 1.90 .53 .51 .50 .48 0.17 0.16 0.15 0.14 0.40 0.42 0.43 0.44 1.77 1.78 1.79 1.80 3.1 3.2 3.3 3.4 0.07 0.06 0.06 0.05 0.45 0.47 '0.48 0.50 2.54 2.57 2.59 2.62 6.08 6.12 6.17 6.21 10.70 10.75 10.80 10.85 15.88 15.93 15.99 16.04 6.9 8.8 6.7 e.<; 34 1.90 1.47 0.13 0.45 1.81 3.5 0.05 0.51 2.65 6.25 10.90 16.09 6.5 3.6 0.05 0.52 2.68 6.29 10.95 16.14 6.4 35 1.91 1.46 0.12 0.46 1.82 3.7 0.04 0.54 2.71 6.33 11.00 16.19 (i.:i 36 1.91 1.44 0.12 0.48 1.83 3.8 0.04 0.55 2.74 6.38 11.05 16.2.r> g.2 37 1.92 1.43 0.11 0.49 1.84 3.9 0.03 0.57 2.77 6.42 11.10 16.30 6.1 38 1.92 1.41 0.10 0.50 1.84 \ 39 1.93 1.40 0.10 0.52 1.85 4.0 0.03 0.58 2.80 6.46 11.15 16.35 6.0 4.1 0.03 0.59 2.83 6.50 11.20 16,10 5.9 40 1.93 1.39 0.09 0.53 1.86 4.2 0.03 0.61 2.86 6.54 11.25 16.46 5.8 41 1.94 1.37 0.09 0.55 1.87 4.3 0.02 0.62 2.89 G.r.D !!.:«> lfi..r>l 5.7 42 1.94 1.36 0.08 0.56 l.ss 4.4 0.02 0.64 2.92 6.63 11.35 16.57 5.6 43 1.95 1.34 0.08 0.57 1.88 44 1.95 1.33 0.07 0.59 1.89 4.5 0.02 0.65 2.95 6.67 11.10 16.62 5.5 4.6 0.02 0.67 2.98 6.71 11.45 16.67 5.4 45 46 47 1.96 1.96 1.96 1.32 1.30 1.29 0.07 0.06 0.06 0.60 0.62 0.63 .90 .90 .91 4.7 4.8 4.9 0.02 0.01 0.01 0.68 0.70 0.71 3.01 3.05 3.08 6.76 6.80 6.85 11.50 11.56 11.61 16.72 16.78 16.83 5.3 5.2 5.1 48 1.97 1.27 0.05 0.64 .91 5.0 0.01 0.73 3.11 6.89 11.66 16.88 5.0 49 50 1.97 1.97 1.26 1.25 0.05 0.04 0.66 0.67 .92 .92 Days. IO(» 1*0 170 1GO 150 140 Days. 284 TABLES XCI. XCII. TABLES ARGUMENTS XCI. 5. XCII. 78. Days . 0 1OO 20O 3OO 100 Days 0 10 2O 3O 40 5O Days Days 50 II 1.97 • 1.25 0.04 0.67 1.92 Days. 5.0 0.01 II 0.73 fj 3.11 6.89 11.66 16.88 Days. 5.0 51 1.98 1.23 0.04 0.69 1.93 5.1 0.01 0.75 3.44 6.93 11.71 16.93 4.9 52 1.98 1.22 0.03 0.70 1.93 5.2 0.01 0.76 3.17 6.98 11.76 16.98 4.8 53 1.98 1.20 0.03 0.71 1.94 5.3 0.00 0.78 3.21 7.02 11.81 17.04 4.7 54 1.98 1.19 0.03 0.73 1.94 5.4 0.00 0.79 3.24 7.07 11.86 17.09 4.6 55 1.99 1.17 0.02 0.74 1.95 5.5 0.00 0.81 3.27 7.11 11.91 17.14 4.5 56 1.99 1.15 0.02 0.76 1.95 5.6 0.00 0.83 3.30 7.15 11.96 17.19 4.4 57 1.99 1.14 0.02 0.77 1.96 5.7 0.00 0.84 3.33 7.20 12.01 17.24 4.3 58 1.99 .12 0.01 0.78 1.96 5.8 0.00 0.86 3.37 7.24 1-~>.07 17.30 4.2 59 1.99 .11 0.01 0.80 1.96 5.9 0.00 0.87 3.40 7.29 12.12 17.35 4.1 60 61 62 63 64 2.00 2.00 2.00 2.00 2.00 .10 .08 .07 1.05 1.04 0.01 0.01 0.01 0.00 0.00 0.81 0.83 0.84 0.86 0.87 1.97 1.97 1.97 1.98 1.98 6.0 6.1 6.2 6.3 6.4 0.00 0.00 0.00 0.00 0.00 0.89 0.91 0.93 0.94 0.96 3.43 3.46 3.49 3.53 3.56 7.33 7.37 7.42 7.46 7.51 12.17 12.22 12.27 12.32 12.37 17.40 17.45 17.51 17.56 17.62 4.0 3.9 3.8 3.7 3.6 6.5 0.00 0.98 3.59 7.55 12.42 17.67 3.5 65 2.00 1.02 0.00 0.89 1.98 6.6 0.00 1.00 3.62 7.60 12.47 17.72 3.4 66 2.00 1.00 0.00 0.91 1.98 6.7 0.00 1.02 3.66 7.64 12.52 17.77 3.3 67 2.00 0.99 0.00 0.92 1.99 6.8 0.01 1.03 3.69 7.69 12.58 17.83 3.2 68 2.00 0.97 0.00 0.94 1.99 6.9 0.01 1.05 3.73 7.73 12.63 17.88 3.1 69 1.99 0.96 0.00 0.95 1.99 7.0 0.01 1.07 3.76 7.78 12.68 17.93 3.0 70 1.99 0.94 0.00 0.97 1.99 7.1 0.01 1.09 3.71) 7.83 12.73 17.98 2.9 71 1.99 0.92 0.00 0.99 1.99 7.2 0.01 1.11 3.83 7.87 12.78 18.03 2.8 72 1.99 0.91 0.01 1.00 2.00 7.3 0.02 1.13 3.86 7.92 12.84 18.09 2.7 73 1.99 0.89 0.01 1.02 2.00 7.4 0.02 1.15 3.90 7.96 12.89 18.14 2.6 74 1.98 0.88 0.01 1.03 2.00 7.5 0.02 1.17 3.93 8.01 12.94 18.19 2.5 75 1.98 0.87 0.01 1.01 2.00 7.6 0.02 1.19 3.97 ROfi 12.P9 18.^4 2.4 76 1.98 0.85 0.01 1.06 2.00 7.7 0.03 1.21 4.00 8.10 13.04 18.29 2.3 77 1.97 0.84 0.02 1.07 2.00 7.8 0.03 1.23 4.04 8.15 13.10 18.35 2.2 78 1.97 0.82 0.02 1.09 2.00 7.9 0.04 1.25 4.07 8.19 13.15 18.40 2.1 79 1.97 0.80 0.02 1.11 2.00 8.0 0.04 1.27 4.11 8.24 13.20 18.45 2.0 80 81 82 83 1.96 1.96 1.96 1.95 0.79 0.77 0.76 0.74 0.02 0.0,1 0.03 0.03 1.13 Lit 1.16 1.17 2.00 1.99 1.99 1.99 8.1 8.2 8.3 8.4 0.04 0.05 0.05 0.06 1.29 1.31 1.34 1.36 4.15 4.18 4.22 4.25 8.29 8.^3 8.«i8 8.42 13.25 !3.:X) 13.36 13.41 18.50 18.55 18.61 18.66 1.9 1.8 1.7 1.6 84 1.95 0.73 0.03 1.18 1.99 8.5 0.06 1.38 4.29 8.47 13.46 18.71 1.5 8.6 0.07 1.40 4.33 8.52 13.51 18.76 1.4 85 1.94 0.72 0.04 1.20 1.99 8.7 0.07 1.42 4.36 8.57 13.56 18.81 1.3 86 1.94 0.70 0.04 1.21 1.98 8.8 0.08 1.45 4.40 8.61 13.62 18.87 1.2 87 1.93 0.69 0.04 1.23 1.98 8.9 0.08 1.47 4.43 8.66 13.67 18.92 1.1 88 1.93 0.67 0.05 1.24 1.98 89 1.92 0.66 0.05 1.26 1.97 9.0 0.09 1.49 4.47 8.71 13.72 18.97 1.0 9.1 0.10 1.51 4.51 8.76 13.77 19.02 0.9 90 1.92 0.65 0.06 1.28 1.97 9.2 0.10 1.53 4.55 8.80 13.82 19.07 0.8 91 1.91 0.63 0.06 1.29 1.97 9.3 0.11 1.56 4.58 8.85 13.88 19.13 0.7 92 1.91 0.61 0.07 1.31 1.96 9.4 0.11 1.58 4.62 8.89 13.93 19.18 0.6 93 1.90 0.60 0.07 1.32 1.96 94 1.90 0.59 0.08 1.33 1.96 9.5 0.12 1.60 4.66 8.94 13.98 19.23 0.5 9.6 0.13 1.62 4.70 8.99 14.03 19.28 0.4 95 1.89 0.57 0.08 1.35 1.95 9.7 0.13 1.65 4.74 9.04 14.09 19.33 0.3 96 1.88 0.56 0.09 1.36 1.95 9.8 0.14 1.67 4.77 9.08 14.14 19.39 0.2 97 1.88 0.54 0.09 1.38 1.94 9.9 0.14 1.70 4.81 9.13 14.20 19.44 0.1 98 1.87 0.53 0.10 1.39 1.94 10.0 0.15 1.72 4.85 9.18 14.25 19.49 0.0 99 100 1.86 1.85 0.52 0.50 0.10 0.11 1.40 1.42 1.93 1.93 Days. 190 18O 170 100 I.TO. 14O Days. 285 TABLES XCII. XCIII. TABLES ARGUMENTS XCII. XCIII. 100 Days. GO 7O 8O 9O Days. Days. 0 1OO 2OO 3OO 3OO Days. I '..IS | It _ H Day.. Days n II • II It 11 llavs 0.0 19.49 24.31 28.21 30.73 10.0 0 7.80 8.33 10.00 12.66 16.10 20.04 100 0.1 19.54 24.35 28.24 30.75 9.9 01 7.80 8.34 10.02 12.69 16.13 20.08 99 0.2 19.59 24.40 28.27 30.76 9.8 02 7.80 8.35 10.04 12.72 16.17 20.12 98 0.3 19.64 24.44 28.31 30.78 9.7 03 7.80 8.36 10.00 12.75 16.21 20.16 97 0.4 19.69 24.49 28.34 30.79 9.6 04 7.80 8.37 10.08 12.78 16.25 20.20 96 0.5 19.74 24.53 28.37 30.81 9.5 05 7.80 8.39 10.11 12.81 16.29 20.24 95 0.6 19.79 24.57 28.40 30.83 9.4 06 7.80 8.40 10.13 12.84 16.32 20.28 94 0.7 19.84 24.62 28.43 30.84 9.3 07 7.80 8.41 10.15 12.87 16.361 20.32 93 0.8 19.90 24.66 28.47 30.86 9.2 08 7.80 8.42 10.17 12.90 16.40 20.36 92 0.9 19.95 24.71 28.50 30.87 9.1 09 7.80 8.43 10.19 12.93 16.44 20.40 91 1.0 20.00 24.75 28.53 30.89 9.0 10 7.80 8.45 10.22 12.97 16.48 20.45 90 1.1 20.05 24.79 28.56 30.91 8.9 11 7.80 8.46 10.24 13.00 16.51 20.49 89 1.2 20.10 24.84 28.59 30.92 8.8 12 7.80 8.47 10.26 1303 16.55 20.53 88 1.3 20.15 24.88 28.62 30.94 8.7 13 7.80 8.48 10.29 13.06 16.59 20.57 87 1.4 20.20 24.93 28.65 30.95 8.6 14 7.80 8.50 10.31 13.09 16.63 20.61 86 1.5 20.25 24.97 28.68 30.97 8.5 15 7.81 8.51 10.33 13.13 16.67 20.65 85 1.6 20.30 25.01 28.71 30.98 8.4 16 7.81 8.52 10.36 13.16 16.70 20.69 84 1.7 20.35 25.05 28.74 31.00 8.3 17 7.81 8.54 10.38 13.1!) 16.74 20.73 83 1.8 20.40 25.10 28.77 31.01 8.2 18 7.81 8.55 10.41 13.22 16.78 20.77 82 1.9 20.45 25.14 28.80 31.03 8.1 19 7.81 8.56 10.43 13.25 16.82 20.81 81 2.0 20.50 25.18 28.83 31.04 8.0 20 7.81 8.58 10.46 13.29 16.86 20.86 80 2.1 20.55 25.22 28.86 31.05 7.9 21 7.82 8.59 10.48 13.32 16.90 20.90 79 2.2 20.60 25.26 28.89 31.07 7.8 22 7.82 8.60 10.50 J3.:ir> 16.93 20.9 1 78 2.3 20.65 25.31 28.92 31.08 7.7 23 7.82 8.62 10.53 13.38 16.97 20.98 77 2.4 20.70 25.35 28.95 31.10 7.6 24 7.82 8.63 10.55 13.42 17.01 21.02 76 2.5 20.75 25.39 28.98 31.11 7.5 25 7.82 8.64 10.58 13.45 17.05 21.06 75 2.6 20.80 25.43 29.01 31.12 7.4 26 7.83 8.66 10.60 13.48 17.09 21.10 74 2.7 20.85 25.47 29.04 31.13 7.3 27 7.83 8.67 10.62 13.52 17.13 21.14 73 2.8 20.90 25.52 29.06 31.15 7.2 28 7.83 8.69 10.65 13.55 17.17 21.18 72 2.9 20.95 25.56 29.09 31.16 7.1 29 7.83 8.70 10.67 13.58 17.21 21.22 71 3.0 21.00 25.60 29.12 31.17 7.0 30 7.84 8.72 10.70 13.62 17.25 21.27 70 8.1 21.05 25.64 29.15 31.18 6.9 31 7.84 8.73 10.72 13.65 17.28 21.31 69 3.2 21.10 25.68 29.18 31.19 6.8 32 7.84 8.75 10.75 13.68 17.32 21.35 68 3.3 21.15 25.73 29.20 31.21 6.7 33 7.84 8.76 10.77 13.72 17.36 21.39 67 3.4 21.20 25.77 29.23 31.22 6.6 34 7.85 8.78 10.80 13.75 17.40 21.43 66 3.5 21.25 25.81 29.26 31.23 6.5 35 7.85 8.79 10.82 13.78 17.44 21.48 65 3.6 91.30 25.85 29.29 31.24 6.4 36 7.85 8.81 10.85 13.82 17.48 21.52 64 3.7 91.86 25.89 29.32 31.25 6.3 37 7.86 S.S'J IO.N7 18.86 17.52 21.56 63 3.8 21.40 25.93 29.34 31.26 6.2 38 7.86 s.si 10.90 13.89 17.56 21.60 62 3.9 21.45 25.97 29.37 31.27 6.1 39 7.86 8.85 10.92 13.92 17.60 21.64 61 4.0 21.50 26.01 29.40 31.28 6.0 40 7.87 8.87 10.95 13.96 17.64 21.69 60 4.1 21.55 26.05 29.43 31.29 5.9 41 7.87 8.88 10.97 13.99 17.67 21.73 69 4.2 31.60 26.09 29. t:> 31.30 5.8 42 7.HH 8.90 11.00 14.02 17.71 21.77 58 4.3 21.64 26.13 99.48 81.M 5.7 i:i 7.88 8.91 11.03 14.06 17.75 21.81 57 II 21.69 26.17 gg.M 3 1 .32 5.6 44 7.89 8.93 11.05 14.09 17.79 21.85 56 4.5 21.74 •JH.-JI 29.53 31.33 5.5 45 7.89 8.94 11.08 14.13 17.83 21.89 55 4.6 81.79 26.25 29.56 31.31 5.4 46 7.90 8.96 11.11 14.16 17.87 21. ill 54 4.7 21. 84 26.2!» 89.58 31.35 5.8 47 7.90 8.98 11.13 1 l.lli 17.91 21.98 68 4.8 21.8!) '-><;.:(:! 29.fi 1 31.36 5.3 48 7.91 9.00 11. Hi 1 i .••>:» 17.95 22.02 52 i e 21.!)l 26.37 29.63 31.37 5.1 49 7.1)1 9.01 11.19 14.26 17.9!) 22.06 51 5.0 21.99 26. tl 29.66 81.88 5.0 50 7.92 9.03 11.22 14.30 18.03 22.10 50 Days. i:t(> tf£O 1 1O 1OO Days. It.-.ys. 21OO2OOO 19OO I8OO 17OO 1GOO Days. 286 TABLES XCII. XCIII. TABLES ARGUMENTS xcn. 78. xcm. 73. Days. GO 7O 8O 9O Days. Days. O 1OO 2OO 3OO 1OO 5OO Days. Days II If M II Days. Days II ,( H a II II 11,'IVS 5.0 21.99 26.41 29.66 31.38 5.0 50 7.92 9.03 11.22 14.30 18.03 22.10 50 5.1 22.04 26.45 29.68 31.39 4.9 51 7.92 9.04 11.24 14.33 18.07 22.14 49 5.2 22.09 26.49 29.71 31.40 4.8 52 7.93 9.06 11.27 14.37 18.11 22.18 48 5.3 22.13 26.52 29.73 31.40 4.7 53 7.93 9.08 11.30 14.40 18.15 22.22 47 5.4 22.18 26.56 29.76 31.41 4.6 54 7.94 9.09 11.32 14.44 18.19 22.26 46 5.5 22.23 26.60 29.78 31.42 4.5 55 7.94 9.11 11.35 14.47 18.23 22.31 45 5.6 22.28 26.64 29.80 31.43 4.4 56 7.95 9.13 11.38 14.51 18.27 22.35 44 5.7 22.33 26.68 29.83 31.44 4.3 57 7.96 9.14 11.40 14.54 18.31 22.39 43 5.8 22.37 26.71 29.85 31.44 4.2 58 7.96 9.16 11.43 14.58 18.35 22.43 42 5.9 22.42 26.75 29.88 31.45 4.1 59 7.97 9.18 11.46 14.61 18.39 22.47 41 6.0 22.47 26.79 29.90 31.46 4.0 60 7.98 9.20 11.49 14.65 18.43 22.51 40 6.1 22.52 26.83 29.92 31.47 3.9 61 7.98 9.22 11.51 14.68 18.47 22.55 39 6.2 22.57 26.87 29.95 31.47 3.8 62 7.99 9.23 11.54 14.72 18.51 22.60 38 6.3 22.61 26.90 29.97 31.48 3.7 63 8.00 9.25 11.57 14.75 18.55 22.64 37 6.4 22.66 26.94 30.00 31.48 3.6 64 8.00 9.27 11.60 14.79 18.59 22.68 36 6.5 22.71 26.98 30.02 31.49 3.5 65 8.01 9.29 11.63 14.82 18.63 22.72 35 6.6 22.76 27.02 30.04 31.50 3.4 66 8.02 9.31 11.65 14.86 18.67 22.76 34 6.7 22.80 27.06 30.06 31.50 3.3 67 8.02 9.33 11.68 14.89 18.71 22.81 33 6.8 22.85 27.09 30.09 31.51 3.2 68 8.03 9.35 11.71 14.93 18.75 22.85 32 6.9 22.89 27.13 30.11 31.51 3.1 69 8.04 9.37 11.74 14.96 18.79 22.89 31 7.0 22.94 27.17 30.13 31.52 3.0 70 8.05 9.39 11.77 15.00 18.83 22.93 30 7.1 22.99 27.21 30.15 31.53 2.9 71 8.05 9.40 11.80 15.03 18.87 22.97 29 . 7.2 23.04 27.24 30.17 31.53 2.8 72 8.06 9.42 11.82 15.07 18.91 23.01 28 7.3 23.08 27.28 30.20 31.54 2.7 73 8.07 9.44 11.85 15.10 18.95 23.06 27 7.4 23.13 27.31 30.22 31.54 2.6 74 8.08 9.46 11.88 15.14 18.99 23.10 26 7.5 23.18 27.35 30.24 31.55 2.5 75 8.09 9.48 11.91 15.17 19.03 23.14 25 7.6 23.23 27.39 30.26 31.55 2.4 76 8.09 9.50 11.94 15.21 1C. 07 2.*Uf5 24 7.7 23.27 27.42 30.28 31.58 2.3 77 8.10 9.5;! 11.97 15.X;5 19.11 23.22 23 7.8 23.32 27.46 30.31 31.56 2.2 78 8.J1 9.54 12.00 15.28 19.15 23.26 22 7.9 23.36 27.49 30.33 31.57 2.1 79 8.12 9.56 12.03 15.32 19.19 23.30 21 8.0 23.41 27.53 30.35 31.57 2.0 80 8.13 9.58 12.06 15.36 19.23 23.34 20 8.1 23.46 27.56 30.37 31.57 1.9 81 8.14 9.60 12.09 15.39 19.27 23.38 19 8.2 23.50 27.60 30.39 31.57 1.8 82 8.15 9.62 12.12 15.. t?-) l!J.;n 23.43 18 8.3 23.55 27.6;j 30.41 31.58 1.7 83 8.16 9.64 12.15 15.47 19.35 23.47 17 8.4 23.59 27.67 30.43 31.58 1.6 84 8.17 9.66 12.18 15.50 19.39 23.51 16 8.5 23.64 27.70 30.45 31.58 1.5 85 8.18 9.68 12.21 15.54 19.43 23.55 15 8.6 23.69 27.73 30.47 31.58 •1.4 86 8.19 9.70 12.24 15.58 19.47 23.59 14 8.7 23.73 27.77 30.49 31.58 1.3 87 8.20 9.72 12.27 15.61 19.51 23.63 13 8.8 23.78 27.80 30.51 31.59 1.2 88 8.21 9.74 12.30 15.65 19.55 23.67 12 8.9 23.82 27.84 30.53 31.59 1.1 89 8.22 9.76 12.33 15.69 19.59 23.71 11 9.0 23.87 27.87 30.55 31.59 1.0 90 8.23 9.78 12.36 15.73 19.64 23.75 10 9.1 23.91 27.90 30.57 31.59 0.9 91 8.24 9.80 12.39 15.76 19.68 23.80 09 9.2 23.96 27.94 30.59 31.59 0.8 92 8.25 9.82 12.42 15.80 19.72 23.84 08 9.3 24.00 27.97 30.60 31.59 0.7 93 8.26 9.84 12.45 15.84 19.76 23.88 07 9.4 24.05 28.01 30.62 31.60 0.6 94 8.27 9.86 12.48 15.87 19.80 23.92 06 9.5 24.09 28.04 30.64 31.60 0.5 95 8.28 9.89 12.51 15.91 19.84 23.96 05 9.6 24.13 28.07 30.66 31.60 0.4 96 8.29 9.91 12.54 15.95 19.88 24.00 04 9.7 24.18 28.11 30.68 31.60 0.3 97 8.30 9.93 12.57 15.98 19.92 24.04 03 9.8 24.22 28.14 30.69 31.60 0.2 98 8.31 9.95 12.60 16.02 19.96 24.08 02 9.9 24.27 28.18 30.71 31.60 0.1 99 8.32 9.97 12.63 16.06 20.00 24.12 01 10.0 24.31 28.21 30.73 31.60 0.0 100 8.33 10.00 12.66 16.10 20.04 24.16 00 Days. 13O 12O 11O 1OO Days. Days. 2100 3OOO 1UOO 18OO 17OO 16OO Days. 287 TABLES XCIII.-XCV. TAB/.ES AEGUMENTS XCIII. 73. XCIV. 12"'. xcv. 79. Days . 000 7OO SOO OOO 1000 o 100 1 O 100 2OO Days. Day. 00 24.16 28.12 31.59 34.29 i 36.01 1.13 0.74 0.28 6.39 0.17 Dty* 100 01 24.20 28.16 31.63 31.32 36.03 1.13 0.73 0.28 0.3!) 0.17 99 02 24.24 28.20 31.66 34.34 36.04 1.14 0.72 0.28 0.39 0.17 98 03 24.28 28.24 31.69 34.36 36.05 1.14 0.71 0.29 0.39 0.17 97 04 24.32 28.27 31.72 34.38 36.06 1.15 0.70 0.29 0.39 0.16 96 05 24.36 28.31 31.75 34.40 36.07 1.15 0.69 0.29 0.39 0.16 95 06 24.40 28.35 31.78 34.43 36.08 1.15 0.68 0.30 0.38 0.16 94 07 24.44 28.38 31.81 34.45 36.09 1.16 0.67 0.30 0.38 0.15 93 08 24.48 28.42 31.84 34.47 36.10 1.16 0.66 0.30 0.38 0.15 92 09 24.52 28.46 31.87 34.49 36.11 1.16 0.65 0.30 0.38 0.15 91 10 24.57 28.49 31.90 34.51 36.12 1.17 0.64 0.31 0.38 0.14 90 11 24.61 28.53 31.93 34.53 36.13 1.17 0.63 0.31 0.38 0.14 89 12 24.65 28.57 31.96 34.56 36.14 1.17 0.62 0.31 0.38 0.14 88 13 24.69 28.61 31.99 34.58 36.15 1.18 0.61 0.31 0.38 0.14 87 14 24.73 28.64 32.02 34.60 36.16 1.18 0.60 0.31 0.38 0.14 86 15 24.77 28.68 32.05 34.62 36.17 .18 0.59 0.32 0.38 0.13 85 16 24.81 28.72 32.08 34.64 36.18 .19 0.58 0.32 0.37 0.13 84 17 24.85 28.75 32.11 34.66 36.19 .19 0.57 0.32 0.37 0.13 88 18 24.89 28.79 32.14 34.68 36.20 .19 0.56 0.:« 0.37 0.13 82 19 24.93 28.83 32.17 34.70 36.21 .19 0.55 0.32 0.37 0.13 81 20 24.97 28.86 32.20 34.72 36.22 .20 0.53 0.33 0.37 0.12 80 21 25.01 28.90 32.23 34.74 36.23 .20 0.52 0.33 0.37 0.12 79 22 25.05 28.94 32.26 34.76 36.24 .20 0.51 0.33 0.37 0.12 78 23 25.09 28.97 32.29 34.78 36.25 .20 0.50 0.33 0.36 0.12 77 24 25.13 29.01 32.32 34.80 36.26 .20 0.49 0.33 o.:i(i 0.11 76 25 25.17 29.05 32.35 34.82 36.27 .20 0.48 0.34 0.36 0.11 75 26 25.21 29.08 32.38 34.84 36.28 .20 0.47 0.34 0.36 0.11 74 27 25.25 29.12 32.41 34.86 36.29 .20 0.46 0.34 0.36 0.10 73 28 25.29 29.15 32.44 34.88 36.30 .20 0.45 0.34 0.36 0.10 72 29 25.33 29.19 32.47 34.90 36.31 .20 0.44 0.34 0.35 0.10 71 30 25.38 29.22 32.49 34.92 36.31 .20 0.42 0.35 0.35 0.09 70 31 25.42 29.26 32.52 34.94 ataa .20 0.41 045 0.35 0.09 69 32 25.46 29.30 32.55 34.96 36.33 .20 0.40 0.35 0.35 0.09 68 33 25.50 29.33 32.58 34.98 36.34 .19 0.39 0.35 0.35 0,09 67 34 25.54 29.37 32.61 35.00 36.35 .19 0.3N 0.35 0.35 0.09 66 35 25.58 29.41 32.64 35.02 :ifi.35 .19 0.37 0.36 0.34 0.08 65 :{(> 25.62 29.44 32.67 35.04 36.36 .19 f o.3(i 0.36 0.3 1 O.OS 64 37 36.66 29.48 :«.•() 35.06 36.:n .19 • 0.35 0.36 0.31 0.08 63 tt 25.70 29.51 32.73 35.08 36.38 .18 0.3 1 o.:!(i o.3i 0.0* 62 :ii) 25.71 29.55 32.76 35.10 36.39 .18 0.33 0.36 o.:ii 0.08 61 40 25.78 29.58 32.78 35.11 36.39 1.18 0.32 0.37 0.33 0.07 60 41 25.82 29.62 32.81 35.13 36.40 1.18 0.31 0.37 o.3:t 0.07 59 « 25.M6 BB.6G 32.H i 35.15 36 41 1.17 ()„•(() 0.37 0.33 0.07 58 i:( 96.90 29.69 B2.89 35.17 :tfi.4l 1.17 0.29 o.:f7 0.33 0.07 57 li B6.94 29.72 B2.89 :tr>.i<) 36.42 1.17 0.28 0.37 0.3:t 0.07 56 45 25.98 ae.76 32.92 35.20 36.42 1.17 0.27 0.37 0.32 0.06 55 46 •^(i.o-J 29.79 B3.96 XVJ2 3643 .16 0.26 0.37 0.3-j O.llli 54 47 36.06 29.83 :«.!»7 35.24 36, 13 .16 (XSfi 03N 0.3-j O.Ofi 53 4h MJO 09.86 :{:!.()() 35.2fi 36.44 .11 0.24 o.:is ().:« 0.06 52 III *>. 1 1 2!>.9() 33.03 35.28 :ifi,44 .15 0.88 0.3N 0.32 O.Oli 51 50 26.18 29.93 33.05 35.29 36.45 .15 0.23 0,«8 0.3 ! 0.05 50 1500 1 100 i:too 1200 1100 300 200 300 400 300 1 Days. NOTM. — Arg. 12'" = Arg. 12 — 20.00. 288 TABLES XCIII.-XCV. TABLES ARGUMENTS XCffl. 73. XCIV. 12'". xcv. 79. Days. 60O 70O 8OO 9OO 1OOO O IOO O 10O 2OO Days. DaVa 50 26.18 29.93 33.05 35.29 36.45 1.15 0.23 0.38 0.31 0.05 Days. 50 51 26.22 29.97 33.08 35.31 36.45 1.14 0.22 0.38 0.31 0.05 49 52 26.26 30.00 33.11 35.33 36.46 1.14 0.21 0.38 0.31 0.05 48 53 26.30 30.04 33.14 35.34 36.46 1.13 0.20 0.38 0.31 0.05 47 54 26.34 30.07 33.16 35.36 36.47 1.13 0.19 0.38 0.30 0.05 46 55 26.38 30.11 33.19 35.38 36.48 1.12 0.19 0.38 0.30 0.04 45 56 26.42 30.14 33.22 35.39 36.48 1.11 0.18 0.39 0.30 0.04 44 57 26.46 30.18 33.24 35.41 36.49 1.11 0.17 0.39 0.29 0.04 43 58 26.50 30.21 33.27 35.42 36.49 1.10 0.16 0.39 0.29 0.04 42 59 26.54 30.25 33.30 35.44 36.50 1.10 0.15 0.39 0.29 0.04 41 60 26.57 30.28 33.32 35.45 36.51 1.09 0.15 0.39 0.28 0.03 40 61 26.61 30.32 33.35 35.47 36.51 1.09 0.14 0.39 0.28 0.03 39 62 26.65 30.35 33.38 35.49 36.52 1.08 0.13 0.39 0.28 0.03 38 63 26.69 30.39 33.40 35.50 36.52 1.08 0.13 0.39 0.28 0.03 37 64 26.73 30.42 33.43 35.52 36.53 1.07 0.12 0.39 0.28 0.03 36 65 26.77 30.46 33.46 35.54 36.53 1.06 0.12 0.39 0.27 0.03 35 66 26.81 30.49 33.48 35.55 36.54 1.06 0.11 0.40 0.27 0.03 34 67 26.85 30.52 33.51 35.57 36.54 1.05 0.11 0.40 0.27 0.02 33 68 26.89 30.56 33.53 35.58 36.54 1.04 0.10 0.40 0.27 0.02 32 69 26.93 30.59 33.56 35.60 36.55 1.03 0.10 0.40 0.27 0.02 31 70 26.96 30.62 33.58 35.61 36.55 1.02 0.09 0.40 0.26 0.02 30 71 27.00 30.66 33.61 35.63 36.55 1.02 0.09 0.40 0.26 0.02 29 72 27.04 30.69 33.63 35.64 36.56 1.01 0.08 0.40 0.26 0.02 28 73 27.08 30.72 33.66 35.66 36.56 1.00 0.08 0.40 0.26 0.02 27 74 27.12 30.76 33.68 35.67 36.56 0.99 0.07 0.40 0.25 0.02 26 75 27.16 30.79 33.71 35.69 36.56 0.98 0.07 0.40 0.25 0.01 25 76 27.20 30.82 33.73 35.70 36.57 0.98 0.06 0.40 0.25 0.01 24 77 27.24 30.86 33.76 35.71 36.57 0.97 0.06 0.40 0.24 0.01 23 78 27.28 30.89 33.78 35.73 36.57 0.96 0.05 0.40 0.24 0.01 22 79 27.32 30.92 33.81 35.74 36.57 0.95 0.05 0.40 0.24 0.01 21 80 27.35 30.95 33.83 35.75 36.58 0.94 0.04 0.40 0.23 0.01 20 81 27.39 30.99 33.86 35.77 36.58 0.94 0.04 0.40 0.23 0.01 19 82 27.43 31.02 33.88 35.78 36.58 0.93 0.04 0.40 0.23 0.01 18 83 27.47 31.05 33.91 35.80 36.58 0.92 0.03 0.40 0.23 0.01 17 84 27.51 31.08 33.93 35.81 36.58 0.91 0.03 0.40 0.22 0.01 16 85 27.55 31.11 33.96 35.83 36.59 0.90 0.03 0.40 0.22 0.01 15 86 27.59 31.15 33.98 35.84 36.59 0.89 0.02 0.40 0.22 0.00 14 87 27.63 31.18 34.00 35.85 36.59 0.88 0.02 0.40 0.21 0.00 13 88 27.67 31.21 34.03 35.87 36.59 0.87 0.02 0.40 0.21 0.00 12 89 27.71 31.24 34.05 35.88 36.59 0.86 0.02 0.40 0.21 0.00 11 90 27.74 31.27 34.07 35.89 36.59 0.85 0.01 0.40 0.20 0.00 10 91 27.78 31.31 34.10 35.91 36.59 0.84 0.01 0.40 0.20 0.00 09 92 27.82 31.34 34.12 35.92 36.59 0.83 0.01 0.40 0.20 0.00 08 93 27.86 31.37 34.14 35.93 36.60 0.82 0.01 0.40 0.20 0.00 07 94 27.90 31.40 34.16 35.94 36.60 0.81 0.01 0.40 0.19 0.00 06 95 27.94 31.43 34.18 35.95 36.60 0.80 0.00 0.40 0.19 0.00 05 96 27.97 31.47 34.21 35.97 36.60 0.79 0.00 0.39 0.19 0.00 04 97 28.01 31.50 34.23 35.98 36.60 0.78 0.00 . 0.39 0.18 0.00 03 98 28.05 31.53 34.25 35.99 36.60 0.77 0.00 0.39 0.18 0.00 02 99 28.09 31.56 34.27 36.00 36.60 0.76 0.00 0.39 0.18 0.00 01 100 28.12 31.59 34.29 36.01 36.60 0.74 0.00 0.39 0.17 0.00 00 Days. 1500 MOO 13OO 12OO I IOO 30O 3OO 5OO 4OO CtOO Days. . — Arg. 12'" = Arg. 12 — 20-00. 289 TABLES XCVI.-CI. TABLES XCVI. ARGUMENTS so. XCVII. 81. xcvm. 8*. XCIX. §3. c. 84. CI. 48. Days. 0 100 0 Days. Days. 0 o 1O O O to Days. llavs do 0.16 0.14 0.93 Dayu. 100 Days. 0.0 0.96 o.oo 0.68 6.02 (1 0.75 6.75 lliivn. 10.0 01 0.16 0.14 0.90 99 0.1 0.89 0.00 0.69 0.02 0.76 0.75 9.9 02 0.16 0.14 0.87 98 0.2 0.82 0.00 0.70 0.01 0.77 0.74 9.8 03 0.16 0.14 0.83 97 0.3 0.76 0.00 0.71 0.01 0.78 0.73 9.7 04 0.16 0.14 0.80 96 0.4 0.70 0.00 0.72 0.00 0.79 0.72 9.6 05 0.17 0.13 0.77 95 0.5 0.64 0.00 0.73 0.00 0.79 0.71 9.5 06 0.17 0.13 0.73 94 0.6 0.58 0.00 0.74 0.00 0.80 0.70 9.4 07 0.17 0.13 0.70 93 0.7 0.53 0.00 0.75 0.01 0.81 0.69 9.3 08 0.17 0.13 0.66 92 0.8 0.48 0.00 0.76 0.02 0.82 0.68 9.2 09 0.17 0.13 0.63 91 0.9 0.43 0.00 0.77 0.03 0.83 0.67 9.1 10 0.18 0.12 0.59 90 1.0 0.38 0.00 0.79 0.04 0.83 0.66 9.0 11 0.18 0.12 0.56 89 1.1 0.34 0.00 0.80 0.06 0.84 0.65 8.9 12 0.18 0.12 - 0.52 88 1.2 0.30 0.00 0.8 r 0.08 0.85 0.63 8.8 13 0.18 0.12 0.49 87 1.3 0.26 0.01 0.82 0.10 0.86 0.62 8.7 14 0.18 0.12 0.45 86 1.4 0.22 0.01 0.83 0.12 0.86 0.61 8.6 15 0.18 0.11 0.42 85 1.5 0.18 0.01 0.84 0.14 0.87 0.60 8.5 16 0.18 0.11 0.39 84 1.6 0.15 0.01 0.85 0.17 0.88 0.59 8.4 17 0.18 0.11 0.36 83 1.7 0.12 0.01 0.87 0.20 0.89 0.58 8.3 18 0.19 0.11 0.33 82 1.8 0.09 0.01 0.88 0.23 0.89 0.57 8.2 19 0.19 0.11 0.30 81 1.9 0.07 0.02 0.89 0.26 0.90 0.56 8.1 20 0.19 0.10 0.27 80 2.0 0.05 0.02 0.90 0.29 0.90 0.5;') 8.0 21 0.19 0.10 0.24 79 2.1 0.03 0.02 0.91 0.32 0.91 0.54 7.9 22 0.19 0.10 0.22 78 2.2 0.02 0.02 0.92 0.35 0.92 <).r>:( 7.8 23 0.19 0.10 0.19 77 2.3 0.01 0.03 0.93 0.39 (1.92 O..r)'_> 7.7 2i 0.19 0.10 0.17 76 2.4 0.00 0.03 0.94 0.43 0.93 0.51 7.6 25 0.20 0.09 0.15 75 2.5 0.00 0.03 0.95 0.47 0.93 0.50 7.5 26 0.20 0.09 0.13 74 2.6 0.00 0.04 0.96 0.51 0.94 0.49 7.4 27 0.20 0.09 0.11 73 2.7 0.01 0.04 0.97 0.55 0.94 0.48 7.3 28 0.20 0.09 0.09 72 2.8 0.01 0.05 0.98 0.59 0.95 0.47 7.2 29 0.20 0.09 0.08 71 2.9 0.02 0.05 0.99 0.63 0.95 0.46 7.1 30 0.20 0.08 0.06 70 3.0 0.03 0.06 1.00 0.67 0.96 0.45 7.0 31 0.20 0.08 0.05 69 3.1 0.05 0.06 1.01 0.71 0.96 0.44 6.9 32 0.20 0.08 0.04 68 3.2 0.07 0.07 1.02 0.75 0.96 0.4.') 6.8 33 0.20 0.08 0.03 67 3.3 0.09 0.07 1.03 0.79 0.97 0.42 6.7 34 0.20 0.08 002 66 3.4 0.11 0.08 1.04 0.83 0.97 0.41 6.6 35 0.20 0.07 0.01 65 3.5 0.14 0.08 1.05 0.86 0.97 0.40 6.5 36 0.20 0.07 0.01 64 3.6 0.17 0.09 1.06 0.90 0.98 0..'!!) 6.4 37 0.20 0.07 0.00 63 3.7 0.20 0.09 1.07 0.93 0.98 0.38 6.3 38 0.20 0.07 0.00 62 3.8 0.24 0.10 1.08 0.96 0.98 0.37 6.2 39 0.20 0.07 0.00 61 3.9 0.28 0.10 1.09 0.99 0.98 o.:«i 6.1 40 0.20 0.06 0.00 60 4.0 0.32 0.11 1.10 1.02 0.99 0.35 6.0 41 0.20 0.06 0.01 59 4.1 0.37 0.11 1.11 1.05 0.99 0.34 5.9 42 0.20 0.06 0.02 58 4.2 0.42 0.12 1.12 1.08 0.99 0.3:t 5.8 43 0.20 0.06 0.03 57 4.3 0.47 0.12 1.13 1.10 0.99 0.32 5.7 44 0.20 0.06 0.0 i 56 4.4 0.52 0.13 1.14 1.12 0.99 0.31 5.6 45 0.20 0.06 0.05 55 4.5 0.57 0.14 1.15 1.14 .00 0.30 5.5 46 0.20 0.06 0.06 54 4.6 0.63 0.11 1.16 1.16 .00 0.29 5.4 47 0.20 0.05 0.07 H 4.7 0.69 0.15 1.17 1.17 .00 0.28 5.3 48 0.20 0.05 0.09 52 4.8 0.75 0.16 1.18 1.18 .00 0.27 5.2 III 0.*) 0.05 0.11 51 4.9 0.81 0.17 1.19 1.19 .00 0.26 5.1 50 0.20 ((.Of) 0.13 50 5.0 0.87 0.18 1.1!) 1.19 .00 0.25 5.0 Days. 300 300 100 Days. Days. 10 30 30 10 3O 20 Days. 290 TABLES XCVI.-CI. TABLES XCVI. ARGUMENTS 8O. XCVII. 81. XCVIII. XCIX. 83. c. 84. CI. 48. Days. 0 1OO o Days. Days. O G 10 O o 10 Days. ll.ivs. 50 0.20 0.05 0.13 Lavs 50 Days. 5.0 0.87 0.18 1.19 H 1.19 i'.oo 0.25 Days. 5.0 51 0.20 0.05 0.15 49 5.1 0.94 0.18 1.20 1.20 1.00 0.24 4.9 5f2 0.20 0.05 0.17 48 5.2 1.01 0.19 1.21 1.20 1.00 0.23 4.8 53 0.20 0.04 0.20 47 5.3 1.08 0.20 1.22 1.20 1.00 0.22 4.7 51 0.20 0.04 0.22 46 5.4 1.15 0.21 1.22 1.20 1.00 0.21 4.6 55 0.20 0.04 0.25 45 5.5 1.22 0.22 1.23 1.19 0.99 0.21 4.5 56 0.19 0.04 0.28 44 5.6 1.29 0.22 1.24 1.18 0.99 0.20 4.4 57 0.19 0.04 0.30 43 5.7 1.36 0.23 1.24 1.17 0.99 0.19 4.3 58 0.19 0.04 0.33 42 5.8 1.44 0.24 1.25 1.16 0.99 0.18 4.2 59 0.19 0.03 0.36 41 5.9 1.51 0.25 1.26 1.14 0.99 0.17 4.1 60 0.19 0.03 0.39 40 6.0 1.59 0.26 1.26 1.12 0.99 0.17 4.0 61 0.19 0.03 0.42 39 6.1 1.66 0.27 1.27 1.10 0.98 0.16 3.9 62 0.19 0.03 0.46 38 6.2 1.74 0.28 1.27 1.08 0.98 0.15 3.8 63 0.19 0.03 0.49 37 6.3 1.81 0.29 1.28 1.06 0.98 .0.14 3.7 64 0.19 0.03 0.53 36 6.4 1.89 0.30 1.29 1.03 0.98 0.14 3.6 65 0.19 0.03 0.56 35 6.5 1.97 0.31 1.29 1.00 0.97 0.13 3.5 66 0.19 0.03 0.60 34 6.6 2.05 0.32 1.30 0.97 0.97 0.12 3.4 67 0.19 0.02 0.63 33 6.7 2.12 0.33 1.30 0.94 0.97 0.12 3.3 68 0.19 0.02 0.67 32 6.8 2.20 0.34 1.31 0.91 0.96 0.11 3.2 69 0.19 0.02 0.70 31 6.9 2.27 0.35 1.31 0.87 0.96 0.10 3.1 70 0.19 0.02 0.74 30 7.0 2.34 0.36 1.32 0.83 0.96 0.10 3.0 71 0.18 0.02 0.77 29 7.1 2.41 0.37 1.32 0.80 0.95 0.09 2.9 72 0.18 0.02 0.81 28 7.2 2.48 0.38 1.33 0.76 0.95 0.08 2.8 73 0.18 0.02 0.84 27 7.3 2.55 0.39 1.33 0.72 0.94 0.08 2.7 71 0.18 0.02 0.88 26 7.4 2.62 0.40 1.34 0.68 0.94 0.07 2.6 75 0.18 0.02 0.91 25 7.5 2.69 0.41 1.34 0.64 0.93 0.07 2.5 76 0.18 0.01 0.94 24 7.6 2.76 0.42 1.34 0.61 0.93 0.06 2.4 77 0.18 0.01 0.98 23 7.7 2.82 0.43 1.35 0.57 0.92 0.06 2.3 78 0.17 0.01 1.01 22 7.8 2.88 0.44 1.35 0.53 0.92 0.05 2.2 79 0.17 0.01 1.04 21 7.9 2.94 0.45 1.35 0.49 0.91 0.05 2.1 80 0.17 0.01 1.07 20 8.0 3.00 0.46 1.36 0.45 0.91 0.04 2.0 81 0.17 0.01 1.10 19 8.1 3.05 0.47 1.36 0.41 0.90 0.04 1.9 82 0.17 0.01 1.13 18 8.2 3.10 0.48 .36 0.37 0.90 0.04 1.8 83 0.17 0.01 1.16 17 8.3 3.15 0.49 .37 0.33 0.89 0.03 1.7 84 0.17 0.01 1.18 16 8.4 3.20 0.50 .37 0.30 0.88 0.03 1.6 85 0.17 0.00 1.21 15 8.5 3.25 0.51 .37 0.27 0.88 0.03 1.5 86 0.16 0.00 1.23 14 8.6 3.29 0.52 .38 0.24 0.87 0.02 1.4 87 0.16 0.00 1.25 13 8.7 3.33 0.53 .38 0.21 0.87 0.02 1.3 88 0.16 0.00 1.27 12 8.8 3.37 0.54 .38 0.18 0.86 0.02 12 89 0.16 0.00 1.29 11 8.9 3.41 0.55 .38 0.15 0.85 0.02 1.1 90 0.16 0.00 1.31 10 9.0 3.44 0.57 .39 0.12 0.84 0.01 1.0 91 0.16 0.00 1.33 09 9.1 3.47 0.58 .39 0.10 0.84 0.01 0.9 92 0.15 0.00 1.34 08 9.2 3.50 0.59 .39 0.08 0.83 0.01 0.8 93 0.15 0.00 1.36 07 9.3 3.52 0.60 .39 0.06 0.82 0.01 0.7 91 0.15 0.00 1.37 06 9.4 3.54 0.61 1.39 0.04 0.81 0.00 0.6 95 0.15 0.00 1.38 05 9.5 3.58 0.62 1.40 0.03 0.80 0.00 0.5 96 0.15 0.00 1.39 04 9.6 3.58 0.63 .40 0.02 0.79 0.00 0.4 97 0.14 0.00 1.39 03 9.7 3.59 0.64 .40 0.01 0.78 0.00 0.3 98 0.14 0.00 1.40 02 9.8 3.60 0.65 .40 0.00 0.77 0.00 0.2 99 0.14 0.00 1.40 01 9.9 3.60 0.66 .40 0.00 0.76 0.00 0.1 100 0.14 0.00 1.40 0 10.0 3.60 0.68 .40 0.00 0.75 0.00 0.0 Days. 30O 20O IOO Days. Days. 10 3O 20 10 30 20 Days. 291 TABLES CII.-CVII. TABLES ARGUMENTS CII. 85. cm. 86. CIV. 87. cv. 88. CVI. 89. cvn. 90. Days. O 1O 0 10 O 0 0 O 10 Days. I)ay> 0.0 0.64 6'.04 o".oi 0.28 0.37 0.12 0.40 0.35 0.27 l)l>S. 10.0 0.1 0.63 0.05 0.01 0.28 0.36 0.11 0.40 0.35 0.27 9.9 0.2 0.62 0.05 0.00 0.29 0.35 0.10 0.40 0.35 0.27 9.8 0.3 0.61 0.06 0.00 0.29 0.33 0.09 0.40 0.35 0.26 9.7 0.4 0.60 0.07 0.00 0.30 0.32 0.08 0.40 0.35 0.26 9.6 0.5 0.59 0.07 0.00 0.30 0.30 0.08 0.40 0.36 0.26 9.5 0.6 0.58 0.08 0.00 0.31 0.29 0.07 0.40 0.36 0.26 9.4 0.7 0.57 0.09 0.00 0.31 0.27 0.06 0.39 0.36 0.25 9.3 0.8 0.56 0.09 0.00 0.32 0.26 0.06 0.39 0.36 0.25 9.2 0.9 0.55 0.10 0.00 0.32 0.24 0.05 0.39 0.36 0.25 9.1 1.0 0.54 0.11 0.00 0.33 0.22 0.05 0.38 0.37 0.24 9.0 1.1 0.53 0.12 0.00 0.33 0.21 0.04 0.38 0.37 0.24 8.9 1.2 0.52 0.13 0.00 0.34 0.19 0.03 0.37 0.37 0.24 8.8 1.3 0.51 0.13 0.00 0.35 0.17 0.03 0.37 0.37 0.23 8.7 1.4 0.50 0.14 0.00 0.35 0.15 0.02 0.36 0.37 0.23 8.6 1.5 0.49 0.15 0.00 0.36 0.13 0.02 0.35 0.38 0.23 8.5 1.6 0.48 0.16 0.00 0.36 0.11 0.02 0.34 0.38 0.22 8.4 1.7 0.47 0.17 0.00 0.37 0.10 0.02 0.33 0.38 0.22 8.3 1.8 0.46 0.17 0.01 0.37 0.08 0.01 0.32 0.38 0.21 8.2 1.9 0.45 0.18 0.01 0.38 0.07 0.01 0.31 0.38 0.21 8.1 2.0 0.44 0.19 0.01 0.38 0.06 0.01 0.29 0.39 0.20 8.0 2.1 0.43 0.20 0.01 0.38 0.05 0.01 0.28 0.39 0.20 7.9 2.2 0.42 0.21 0.01 0.39 0.04 0.00 0.27 0.39 0.20 7.8 2.3 0.41 0.22 0.01 0.39 0.03 0.00 0.26 0.39 0.19 7.7 2.4 0.40 0.23 0.01 0.40 0.02 0.00 0.25 0.39 0.19 7.6 2.5 0.38 0.24 0.02 0.40 0.01 0.00 0.23 0.39 0.18 7.5 2.6 0.37 0.25 0.02 0.40 0.01 0.00 0.22 0.39 0.18 7.4 2.7 0.36 0.26 0.02 0.41 0.00 0.00 0.21 0.40 0.18 7.3 2.8 0.35 0.27 0.02 0.41 0.00 0.00 0.20 0.40 0.17 7.2 2.9 0.34 0.28 0.02 0.41 0.00 0.00 0.18 0.40 0.17 7.1 3.0 0.33 0.29 0.02 0.42 0.00 0.00 0.17 0.40 0.16 7.0 3.1 0.32 0.30 0.02 0.42 0.00 0.00 0.16 0.40 0.16 6.9 3.2 0.31 0.31 0.02 0.43 0.01 0.00 0.15 0.40 0.16 6.8 3.3 0.30 0.32 0.02 0.43 0.01 0.00 0.14 0.40 0.15 6.7 3.4 0.29 0.33 0.03 0.43 0.02 0.01 0.12 0.40 0.15 6.6 3.5 0.28 0.34 0.03 0.44 0.03 0.01 0.11 0.40 0.14 6.5 3.6 0.27 0.35 0.03 0.44 0.04 0.01 0.10 0.40 0.14 6.4 3.7 0.26 0.36 0.03 0.45 0.05 0.02 0.09 0.40 0.14 6.3 3.8 0.25 0.37 0.03 0.45 0.06 0.02 0.08 0.40 0.13 6.2 3.9 0.24 0.38 0.03 0.45 0.07 0.02 0.07 0.40 0.13 6.1 4.0 0.23 0.39 0.04 0.46 0.09 0.03 0.06 0.40 0.12 6.0 4.1 0.22 0.40 0.04 0.46 0.10 0.03 0.05 0.40 0.12 5.9 4.2 0.21 0.41 0.04 0.47 0.12 0.04 0.04 0.40 0.12 5.8 4.3 0.20 0.42 0.04 0,17 0.13 0.04 0.03 0.40 0.11 5.7 4.4 0.19 0.43 0.05 0.47 0.15 0.05 0.02 0.40 0.11 5.6 4.5 0.18 0.44 0.05 0.48 0.17 0.06 0.02 0.40 0.11 5.5 4.6 0.17 0.45 0.05 0.48 0.18 0.06 0.01 0.40 0.10 5.4 4.7 0.17 0.46 0.06 0.49 0.20 0.07 0.01 0.40 0.10 5.3 4.8 0.16 0.47 0.06 0.49 0.22 0.07 0.00 0.40 0.10 5.2 4.9 0.15 0.48 0.06 0.49 0.24 0.08 0.00 0.40 0.10 5.1 5.0 0.14 0.49 0.07 0.50 0.26 0.09 0.00 0.40 0.09 5.0 Days. 90 90 3O 9O 1O 10 10 3O 2O Days. 2! '2 TABLES CII.-CYIL TABLES ARGUMENTS CII. 85. era. 86. CIV. 87. cv. 88. CVI. 89. CVII. 9O. Days. O 1O o 10 O 0 0 O 1O Days. l>avj. 5.0 0.14 0.49 6.07 0.50 0.26 0.09 0.00 0"40 0.09 Davs. 5.0 5.1 0.13 0.50 0.07 0.50 0.28 0.09 0.00 0.40 0.09 4.9 5.2 0.12 0.51 0.07 0.51 0.29 0.10 0.00 0.40 0.09 4.8 5.3 0.12 0.52 0.07 0.51 0.31 0.11 0.00 0.39 0.08 4.7 5.4 0.11 0.53 0.08 0.51 0.32 0.12 0.00 0.39 0.08 4.6 5.5 0.10 0.54 0.08 0.52 0.33 0.13 0.00 0.39 0.08 4.5 5.6 0.10 0.55 0.08 0.52 0.34 0.13 0.01 0.39 0.07 4.4 5.7 0.09 0.56 0.09 0.53 0.35 0.14 0.01 0.39 0.07 4.3 5.8 0.08 0.57 0.09 0.53 0.36 0.15 0.02 0.38 0.07 4.2 5.9 0.08 0.58 0.09 0.53 0.37 0.16 0.02 0.38 0.07 4.1 6.0 0.07 0.59 0.10 0.54 0.38 0.17 0.03 0.38 0.06 4.0 6.1 0.07 0.60 0.10 0.54 0.38 0.17 0.03 0.38 0.06 3.9 6.2 0.06 0.61 0.10 0.54 0.39 0.18 0.04 0.38 0.06 3.8 6.3 0.06 0.62 0.11 0.54 0.39 0.19 0.05 0.38 0.05 3.7 6.4 0.05 0.63 0.11 0.54 0.40 0.20 0.06 0.38 0.05 3.6 6.5 0.05 0.64 0.11 0.55 0.40 0.21 0.07 0.37 0.05 3.5 6.6 0.04 0.65 0.12 0.55 0.40 0.22 0.08 0.37 0.04 3.4 6.7 0.04 0.65 0.12 0.55 0.40 0.23 0.09 0.37 0.04 3.3 6.8 0.03 0.66 0.13 0.55 0.39 0.24 0.10 0.37 0.04 3.2 6.9 0.03 0.67 0.13 0.55 0.39 0.25 0.11 0.37 0.04 3.1 7.0 0.02 0.68 0.14 0.56 0.38 0.26 0.13 0.36 0.03 3.0 7.1 0.02 0.69 0.14 0.56 0.37 027 0.14 0.36 0.03 2.9 7.2 0.02 0.69 0.14 0.56 0.36 0.28 0.15 0.36 0.03 2.8 7.3 0.01 0.70 0.15 0.56 0.35 0.29 0.16 0.36 0.03 2.7 7.4 0.01 0.70 0.15 0.56 0.34 0.30 0.17 0.36 0.03 2.6 7.5 0.01 0.71 0.16 0.57 0.32 0.30 0.19 0.35 0.03 2.5 7.6 0.01 0.72 0.16 0.57 0.31 0.31 0.20 0.35 0.02 2.4 7.7 0.00 0.72 0.16 0.57 0.2!) 0.32 0.21 O.od 0.02 2.3 7.8 0.00 0.73 0.17 0.57 0.28 0.32 0.22 0.35 0.02 2.2 7.9 0.00 0.73 0.17 0.57 0.26 0.33 0.23 0.35 0.02 2.1 8.0 0.00 0.74 0.18 0.58 0.24 0.33 0.25 0.34 0.02 2.0 8.1 0.00 0.74 0.18 0.58 0.23 0.34 0.26 0.34 0.01 1.9 8.2 0.00 0.75 0.19 0.58 021 0.35 0.27 0.34 0.01 1.8 8.3 0.00 0.75 0.19 0.58 0.19 0.35 0.28 0.34 0.01 1.7 8.4 0.00 0.76 0.20 0.58 0.17 0.36 0.30 0.33 0.01 1.6 8.5 0.00 0.76 0.20 0.59 0.15 0.36 0.31 0.33 0.01 1.5 8.6 0.00 0.77 0.21 0.59 0.13 0.36 0.32 • 0.33 0.01 1.4 8.7 0.01 0.77 0.21 0.59 0.11 0.37 0.33 0.32 0.00 1.3 8.8 0.0! 0.77 0.22 0.59 0.10 0.37 0.34 0.32 0.00 1.2 8.9 0.01 0.78 0.22 0.59 0.08 0.38 0.35 0.32 0.00 1.1 9.0 0.01 0.78 0.23 0.60 0.07 0.38 0.36 0.31 0.00 1.0 9.1 0.01 0.78 0.23 0.60 0.06 0.38 0.37 0.31 0.00 0.9 9.2 0.02 0.79 0.24 0.60 0.05 0.39 0.38 0.31 0.00 0.8 9.3 0.02 0.79 0.24 0.60 0.04 0.39 0.38 0.30 0.00 0.7 9.4 0.02 0.79 0.25 0.60 0.03 0.39 0.39 0.30 0.00 0.6 9.5 0.03 0.79 0.25 0.60 0.02 0.40 0.39 0.30 0.00 0.5 9.6 0.03 0.79 0.26 0.60 0.01 0.40 0.39 0.29 0.00 0.4 9.7 0.03 0.80 0.26 0.60 0.01 0.40 0.40 0.29 0.00 0.3 9.8 0.04 0.80 0.27 0.60 0.00 0.40 0.40 0.28 0.00 0.2 9.9 0.04 0.80 0.27 0.60 0.00 0.40 0.40 0.28 0.00 0.1 10.0 0.04 0.80 0.28 0.60 0.00 0.40 0.40 0.27 0.00 0.0 Days. 3O 2O :to 20 10 10 10 3O 2O Days. 293 TABLE CVIII. ARGUMENT 77. Equation = 6".2 — 6". 18 sin. 3$. O O o o o o o o 210 211 213 214 216 217 2is 219 y 90 91 92 93 94 93 96 97 98 99 y 33O 331 332 333 334 333 336 337 338 339 6 12.38 12.37 12.35 12.30 12.24 12.17 12.08 1 i' .97 11.85 ii'.7i 3600 100 12.38 12.37 12.35 12.30 12.24 12.17 12.08 11.97 11.85 11.71 3500 200 12.38 12.37 12.35 12.30 12.24 12 17 12.08 11.97 11.85 11.71 3100 300 12.38 12.37 12.35 12.30 12.24 12.17 12.07 11.96 11.84 11.70 3300 400 12.38 12.37 12.35 12.30 12.24 12.16 12.07 11.96 11.84 11.70 3200 500 12.38 12.37 12.34 12.30 12.24 12.16 12.07 11.96 11.83 11.69 3100 600 12.38 12.37 12.31 12.30 12.23 12.16 12.06 11.95 11.83 11.69 3000 700 12.38 12.37 12.34 12.30 12.23 12.16 12.06 11.95 11.83 11.69 2900 800 12.38 12.37 12.34 12.29 12.23 12.15 12.06 11.95 1 1 .82 11.68 2800 900 12.38 12.37 12.34 12.29 12.23 12.15 12.05 11.94 11.82 11.68 2700 1000 12.38 12.37 12.34 12.29 12.23 12.15 12.05 11.94 11.81 11.67 2600 1100 12.38 12.36 - 12.34 12.29 12.23 12.15 12.05 11.94 11.81 11.67 2500 1200 12.38 12.36 12 33 12.29 12.22 12.14 12.04 11.93 11.80 11.66 2400 1300 12.38 12.36 12.33 12.29 12.22 12.14 12.04 11.93 11.80 11.66 2300 1400 12.38 12.36 12.33 12.29 12.22 12.14 12.04 11.93 11.80 11.66 2200 1500 12.38 12.36 12.33 12.28 12.22 12.14 12.04 11.92 11.79 11.65 2100 1600 12.38 12.36 "12.33 12.28 12.22 12.13 12.03 11.92 11.79 11.65 2000 1700 12.38 12.36 12.33 12.28 12.21 12.13 12.03 11.92 11.78 11.64 1900 1800 12.38 12.36 12.33 12.28 12.21 12.13 12.03 11.91 11.78 11.64 1800 1900 12.38 12.36 12.33 12.28 12.21 12.13 12.03 11.91 11.77 11.64 1700 2000 12.38 12.36 12.33 12.28 12.21 12.12 12.02 11.91 11.77 11.63 1600 2100 12.38 12.36 12.32 12.28 12.21 12.12 12.02 11.90 11.77 11.63 1500 2200 12.38 12.36 12.32 12.27 12.20 12.12 12.02 11.90 11.76 11.62 1400 2300 12.38 12.36 12.32 12.27 12.20 12.12 12.02 11.90 11.76 11.62 1300 2400 12.38 12.36 12.32 12.27 12.20 12.11 12.01 11.89 11.75 11.61 1200 2500 12.38 12.36 12.32 12.27 12.20 12.11 12.01 11.89 11.75 11.61 1100 2600 12.38 12.36 12.32 12.27 12.20 12.11 12.01 11.89 11.75 11.60 1000 2700 12.38 12.36 12.32 12.26 12.19 12.11 12.00 11.88 11.74 11.60 900 2800 12.38 12.36 12.32 12.26 12.19 12.10 12.00 11.88 11.74 11.59 800 2900 12.38 12.36 12.32 12.26 12.19 12.10 12.00 11.88 11.74 11.59 700 3000 12.37 12.36 12.31 12.26 12.19 12.10 11.99 11.87 11.73 11.58 600 3100 12.37 12.35 12.31 12.25 12.18 12.10 11.99 11.87 11.73 11.58 500 3200 12.37 12.35 12.31 12.25 12.18 12.09 11.99 11.87 11.73 11.57 400 8800 13.87 12.35 12.31 12.25 12.18 12.09 11.98 11.86 11.72 11.57 300 8400 12.37 12.35 12.31 12.25 12.18 12.09 11.98 11.86 11.72 11.56 200 3500 12.37 12.35 12.31 12.25 12.17 12.09 11.98 11.86 11.72 11.50 100 3600 12.37 12.35 12.30 12.24 12.17 12.08 11.97 11.85 11.71 11.55 0 O 89 O 88 O 87 86 83 84 83 83 81 O 8O 1 209 208 207 206 2O3 204 2O3 202 201 2OO y 3'29 32* 327 326 323 324 323 322 321 320 294 TABLE CVIII. ARGUMENT 77. Equation = 6".2 — 6". 18 sin. 3$. 22O o 221 222 223 224 225 226 227 228 229 y 100 IO1 1O2 1O3 104 105 106 1O7 108 1O9 y 34O 341 342 343 344 345 346 347 348 319 n 0 11.55 11.38 11.20 11. 00 10.79 10.57 10.33 10.09 9.83 9.57 3600 100 11.55 11.38 11.20 11.00 10.79 10.57 10.33 10.09 9.83 9.57 3500 200 11.55 11.37 11.19 10.99 10.78 1056 10.32 10.08 9.82 9.56 3400 300 11.54 11.37 11.19 10.99 10.78 10.55 10.31 10.07 9.81 9.55 3300 400 11.53 11.36 11.18 10.98 10.77 10.55 10.31 10.06 9.80 9.54 3200 500 11.53 11.36 11.18 10.98 10.77 10.54 10.30 10.06 9.80 9.53 3100 600 11.52 11.35 11.17 10.97 10.76 10.53 10.29 10.05 9.79 9.53 3000 700 11.52 11.35 11.17 10.96 10.75 10.53 10.29 10.04 9.78 9.52 2900 800 11.51 11.34 11.16 10.96 10.75 10.52 10.28 10.03 9.78 9.51 2800 900 11.51 11.34 11.16 10.95 10.74 10.51 10.27 10.03 9.77 9.50 2700 1000 11.50 11.33 11.15 10.95 10.74 10.51 10.27 10.02 9.76 9.49 2600 1100 11.50 11.33 11.15 10.94 10.73 10.50 10.26 10.01 9.75 9.48 2500 1200 11.49 11.32 11.14 10.93 10.72 10.49 10.25 10.00 9.74 9.47 2400 1300 11.49 11.32 11.14 10.93 10.72 10.49 10.25 10.00 9.74 9.47 2300 1400 11.49 11.31 11.13 10.92 10.71 10.48 10.24 9.99 9.73 9.46 2200 1500 11.48 11.31 11.13 10.92 10.71 10.47 10.23 9.98 9.72 9.45 2100 1600 11.48 11.30 11.12 10.91 10.70 10.47 10.23 9.98 9.72 9.44 2000 1700 11.47 11.30 11.12 10.91 10.70 10.46 10.22 9.97 9.71 9.44 1900 1800 11.47 11.29 11.11 10.90 10.69 10.45 10.21 9.96 9.70 9.43 1800 1900 11.46 11.29 11.10 10.89 10.68 10.45 10.21 9.96 9.70 9.42 1700 2000 11.46 11.28 11.10 10.89 10.68 10.44 10.20 9.95 9.69 9.41 1600 2100 11.46 11.28 11.09 10.88 10.67 10.43 10.19 9.94 9.68 9.40 1500 2200 11.45 11.27 11.09 10.88 10.67 10.43 10.19 9.94 9.68 9.40 1400 2300 11.45 11.27 11.08 1087 10.6, 1042 10.18 9.93 9.67 9.39 1300 2400 11.44 11.26 11.07 10.86 10.65 10.41 10.17 9.92 9.66 9.38 1200 2500 11.44 11.26 11.07 10.86 10.65 10.41 10.17 9.92 9. S6 9.38 1100 2600 11.43 11.25 11.06 10.85 10.64 10.40 10.16 9.91 9.65 9.37 1000 2700 11.43 11.25 11.06 10.85 10.63 10.39 10.15 9.90 9.64 9.36 900 2800 11.42 11.24 11.05 10.84 10.63 10.39 10.15 9.89 9.63 9.35 800 2900 11.42 11.24 11.04 10.84 10.62 10.38 10.14 9.89 9.63 9.34 700 3000 11.41 11.23 11.04 10.83 10.61 10.37 10.13 9.88 9.62 9.34 600 3100 11.41 11.23 11.03 10.82 10.61 10.37 10.13 9.87 9.61 9.33 500 3200 11.40 11.22 11.03 10.82 10.60 10.36 10.12 9.86 9.60 9.32 400 3300 11.40 11.22 11.02 10.81 10.59 10.85 10.11 9.86 9.60 9.31 300 3400 11.39 11.21 11.02 10.81 10.59 10.35 10.11 9.85 9.59 9.31 200 3500 11.39 11.21 11.01 10.80 10.58 10.34 10.10 9.84 9.58 9.30 100 3600 11.38 11.20 11.00 10.79 10.57 10.33 10.09 9.83 9.57 9.29 0 7b 78 O 77 76 75 74 73 72 71 O 7O 9 199 198 197 196 195 194 193 192 191 190 f 319 318 317 316 315 314 313 312 311 31O 295 TABLE CVIIL ARGUMENT 77. Equation = 6".2 — 6".18 sin. 3y. 83O 831 838 333 334 835 836 237 838 839 I 110 111 113 113 114 115 110 117 118 119 y 35O 351 353 353 354 355 350 357 358 359 fl 0 9.29 9.01 8.71 // 8.41 8.11 7.80 7.48 7.17 6.85 6.52 3600 100 9.29 9.01 8.71 8.41 8.11 7.80 7.48 7.17 6.85 6.52 3500 200 9.28 9.00 8.70 8.40 8.10 7.79 7.47 7.16 6.84 6.51 3400 300 9.27 8.99 8.69 8.39 8.09 7.78 7.46 7.15 6.83 6.50 3300 400 9.26 8.98 8.68 8.38 8.08 7.77 7.45 7.14 6.82 6.49 3200 500 9.26 8.97 8.67 8.37 8.07 7.76 7.44 7.13 6.81 6.48 3100 600 9.25 8.96 8.66 8.36 8.06 7.75 7.43 7.12 6.80 6.47 3000 700 9.24 8.96 8.66 8.36 8.06 7.74 7.42 7.11 6.79 6.47 2900 800 9.23 8.95 8.65 8.35 8.05 7.73 7.42 7.10 6.78 6.46 2800 900 9.23 8.94 8.64 8.34 8.04 7.72 7.41 7.09 6.77 6.45 2700 1000 9.22 8.93 8.63 8.33 8.03 7.71 7.40 7.08 6.76 6.44 2600 1100 9.21 8.92 8.62 8.32 8.02 7.70 7.39 7.07 6.75 6.43 2500 1200 9.20 8.91 8.61 8.31 8.01 7.69 7.38 7.06 6.74 6.42 2400 1300 9.20 8.91 8.61 8.31 8.01 7.69 7.37 7.06 6.74 6.42 2300 1400 9.19 8.90 8.60 8.30 8.00 7.68 7.36 7.05 6.73 6.41 2200 1500 9.18 8.89 8.59 8.29 7.99 7.67 7.35 7.04 6.72 6.40 2100 1600 9.17 8.88 8.58 8.28 7.98 7.66 7.35 7.03 6.71 6.39 2000 1700 9.16 8.87 8.57 8.27 7.97 7.65 7.34 7.02 6.70 6.38 1900 1800 9.15 8.86 8.56 8.26 7.96 7.64 7.33 7.01 6.69 6.37 1800 1900 9.15 8.86 8.56 8.26 7.95 7.63 7.32 7.00 6.68 6.36 1700 2000 9.14 8.85 8.55 8.25 7.94 7.63 7.31 6.99 6.67 6.35 1600 2100 9.13 8.84 8.54 8.24 7.93 7.62 7.30 6.98 6.66 6.34 1500 2200 9.12 8.83 8.53 8.23 7.92 7.61 7.29 6.97 6.65 6.:W 1400 2300 9.11 8.82 8.52 8.22 7.91 7.60 7.28 6.96 6.64 (i.:« moo 2400 9.10 8.81 8.51 8.21 7.90 7.59 7.27 6.95 6.63 6.31 1200 2500 9.10 8.81 8.51 8.21 7.90 7.58 7.27 6.95 6.63 6.31 1100 2600 9.09 8.80 8.50 8.20 7.89 7.57 7.26 6.94 6.62 6.30 1000 2700 9.08 8.79 8.49 8.19 7.88 7.57 7.25 6.93 6.61 6.29 900 2800 9.07 8.78 8.48 8.18 7.87 7.56 7.24 6.92 6.60 6.28 800 2900 9.07 8.77 8.47 8-17 7.86 7.55 7.23 6.91 6.59 6.27 700 3000 9.06 8.76 8.46 8.16 7.85 7.51 7.22 6.90 fi.58 6.26 600 3100 9.05 8.76 8.46 8.16 7.85 7.53 7.22 6.90 6.57 6.25 500 3200 9.04 8.75 8.45 8.15 7.84 7.52 7.21 6.89 6.56 6.21 400 :!:!()(» 9.01 8.74 8.44 N.I 1 7.83 7.51 7. '20 6.88 6.55 6.2:5 300 3100 9.03 8.73 8.43 8.13 7.82 7.50 7.19 6.87 6.54 6.22 200 3500 9.02 8.72 8.42 8.12 7.81 7.49 7.18 (!.S(! 6.53 6.21 100 3600 9.01 K.71 8.41 8.11 7.80 7.1S 7.17 6.85 6.52 6.20 0 • o o o o O O O O o 09 68 or CO 05 04 03 03 01 OO 9 189 188 187 180 185 184 183 188 181 180 y 309 30 s 307 30O 305 304 303 3O8 301 3OO 296 TABLE CVIII. ARGUMENT 77, Equatiop = 6".2 — 6". 18 sin 3y. 34O 341 343 343 314 345 346 347 348 349 s 130 tat 133 133 134 135 136 137 138 139 1 O i 3 3 4 5 6 7 8 9 0 6.20 5.88 5.55 5.23 4.92 4.60 4.29 3.99 3.69 3.39 3600 100 6.19 5.87 5.54 5.22 4.91 4.59 4.28 3.98 3.68 3.38 3500 200 6.18 5.86 5.53 5.21 4.90 4.58 4.27 3.97 3.67 3.37 3400 300 6.17 5.85 5.52 5.20 4.89 4.57 4.26 3.96 3.66 3.36 3300 400 6.16 5.84 5.51 5.19 4.88 4.56 4.25 3.95 3.65 3.36 3200 500 6.15 5.83 5.50 5.18 4.87 4.55 4.24 3.94 3.64 3.35 3100 600 6.14 5.82 5.50 5.18 4.86 4.55 4.24 3.94 3.64 3.34 3000 700 6.13 5.81 549 5.17 4.85 4.54 4.23 3.93 3.63 3.33 2900 800 6.12 5.80 5.48 5.16 4.84 4.53 4.22 3.92 3.62 3.33 2800 900 6.11 5.79 5.47 5.15 4.83 4.52 4.21 3.91 3.61 3.32 2700 1000 6.10 5.78 5.46 5.14 4.82 4.51 4.20 3.90 3.60 3.31 2600 1100 6.09 5.77 5.45 5.13 4.81 4.50 4.19 3.89 3.59 3.30 2500 1200 6.09 5.77 5.45 5.13 4.81 4.50 4.19 3.89 3.59 3.30 2400 1300 6.08 5.76 5.44 5.12 4.80 4.49 4.18 3.88 3.58 3.29 2300 1400 6.07 5.75 5.43 5.11 4.79 4.48 4.17 3.87 3.57 3.28 2200 1500 6.06 5.74 5.42 5.10 4.78 4.47 4.16 3.86 3.56 3.27 2100 1600 6.05 5.73 5.41 5.09 4.77 4.46 4.15 3.85 3.55 3.26 2000 1700 6.04 5.72 5.40 5.08 4.76 4.45 4.14 3.84 3.54 3.25 1900 1800 6.03 5.71 5.39 5.07 4.76 4.44 4.14 3.84 3.54 3.25 1800 1900 6.02 5.70 5.38 5.06 4.75 4.43 4.13 3.83 3.53 3.24 1700 2000 6.01 5.69 5.37 5.05 4.74 4.42 4.12 3.82 3.52 3.23 1600 2100 6.00 5.68 5.36 5.04 4.73 4.41 4.11 3.81 3.51 3.22 1500 2200 5.99 5.67 5.35 5.03 4.72 4.40 4.10 3.80 3.50 3.21 1400 2300 5.98 5.66 5.34 5.02 4.71 4.39 4.09 3.79 3.49 3.20 1300 2400 5.98 5.66 5.34 5.02 4.71 4.39 4.09 3.79 3.49 3.20 1200 2500 5.97 5.65 5.33 5.01 4.70 4.38 4.08 3.78 3.48 3.19 1100 2600 5.96 5.64 5.32 5.00 4.69 4.37 4.07 3.77 3.47 3.18 1000 2700 5.95 5.63 5.31 4.99 4.68 436 4.06 3.76 3.46 3.17 900 2800 5.94 5.62 5.30 4.98 4.67 4.35 4.05 3.75 3.45 3.17 800 2900 5.93 5.61 5.29 4.97 4.66 4.34 4.04 3.74 3.44 3.16 700 3000 5.93 5.60 5.28 4.97 4.65 4.34 4.04 3.74 3.44 3.15 600 3100 5.92 5.59 5.27 4.96 4.64 4.33 4.03 3.73 3.43 3.14 500 3200 5.91 5.58 5.26 4.95 4.63 4.32 4.02 3.72 3.42 3.14 400 3300 5.90 5.57 5.25 4.94 4.62 4.31 4.01 3.71 3.41 3.13 300 3400 5.89 5.5G 5.24 4.93 4.61 4.30 4.00 3.70 3.40 3.12 200 3500 5.88 5.55 5.23 4.92 4.60 4.29 3.99 3.69 3.39 3.11 100 3600 5.88 5.55 5.23 4.92 4.60 4.29 3.99 3.69 3.39 3.11 0 o O O O O o o o 59 58 57 56 55 54 53 52 51 5O 1 179 178 177 176 175 174 173 173 171 170 9 399 398 397 396 395 394 393 393 391 39O - 297 TABLE CVIII. ARGUMENT 77. Equation = 6".2 — 6".18 sin 3j. 25O o 251 232 253 254 o 255 256 257 258 259 I 13O 131 132 133 134 135 136 137 138 139 9 1O 11 12 13 14 15 16 17 18 19 6 3.11 2.83 2.57 2.31 2.07 1.83 i'.6i 1.40 1.20 1.02 3600 100 3.10 2.82 2.56 2.30 2.06 1.82 1.60 1.39 .20 1.02 3500 200 3.09 2.81 2.55 2.29 2.05 1.81 1.60 1.39 .19 1.01 3400 300 3.08 2.80 254 2.29 2.05 1.81 1.59 1.38 .19 1.01 3300 400 3.08 2.80 2.54 2.28 2.04 1.80 1.59 1.38 .18 1.00 3200 500 3.07 2.79 2.53 2.27 2.03 1.79 1.58 1.37 .18 1.00 3100 600 3.06 2.78 2.52 2.27 2.03 1.79 1.58 1.37 .17 0.99 3000 700 3.05 2.77 2.51 2.26 2.02 1.78 1.57 1.36 .17 0.99 2900 800 3.05 2.77 2.51 2.25 2.01 1.77 1.56 1.35 .16 0.98 2800 900 3.04 2.76 250 2.25 2.01 1.77 1.56 1.35 .16 0.98 2700 1000 3.03 2.75 2.49 2.24 2.00 1.76 1.55 1.34 1.15 0.97 2600 1100 3.02 2.74 2.48 2.23 1.99 1.75 1.55 1.34 1.15 0.97 2500 1200 3.02 2.74 2.48 2.23 1.99 1.75 1.54 1.33 1.14 0.96 2400 1300 3.01 2.73 2.47 2.22 1.98 1.74 1.53 1.32 1.14 0.96 2300 1400 3.00 2.72 2.46 2.21 1.97 1.73 1.53 1.32 1.13 0.95 2200 1500 2.99 2.72 2.46 2.21 1.97 1.73 1.52 1.31 1.13 0.95 2100 1600 2.99 2.71 2.45 2.20 1.96 1.72 1.52 1.31 1.12 0.94 2000 1700 2.98 2.70 2.44 2.19 1.95 1.72 1.51 1.30 1.12 0.94 1900 1800 2.97 2.70 2.44 2.19 1.95 1.71 1.51 1.30 1.11 0.93 1800 1900 2.96 2.69 2.43 2.18 1.94 1.71 1.50 1.29 1.11 0.93 1700 2000 2.96 2.68 2.42 2.17 1.93 1.70 1.49 1.28 1.10 0.93 1600 2100 2.95 2.68 2.42 2.17 1.93 1.70 1.49 1.28 1.10 0.92 1500 2200 2.94 2.67 2.41 2.16 1.92 1.69 1.48 1.27 1.09 0.92 1400 2300 293 2.66 2.40 2.15 1.91 1.69 1.48 1.27 1.09 0.91 1300 2400 2.93 2.66 2.40 2.15 1.91 1.68 1.47 1.26 1.08 0.91 1200 2500 2.92 2.65 2.39 2.14 1.90 1.67 1.46 1.26 1.08 0.91 1100 2600 2.91 2.64 2.38 2.13 1.89 1.67 1.46 1.25 1.07 0.90 1000 2700 2.90 2.63 2.37 2.13 1.89 1.66 1.45 1.25 1.07 0.90 900 2800 2.89 2.63 2.37 2.12 1.88 1.66 1.45 1.24 1.06 0.89 800 2900 2.88 2.62 2.36 2.11 1.87 1.65 1.44 1.24 1.06 0.89 700 3000 2.88 2.61 2.35 2.11 1.87 1.64 1.43 1.23 1.05 0.88 600 3100 2.87 2.60 2.34 2.10 1.86 1.64 1.43 1.23 1.05 0.88 500 3200 2.86 2.60 2.34 2.09 1.85 1.63 1.42 1.22 1.04 0.87 400 3300 2.85 2.59 2.33 2.09 1.85 1.63 1.42 1.22 1.04 0.87 300 3400 2.84 2.58 2.32 2.08 1.84 1.62 1.41 1.21 1.03 0.86 200 3500 2.83 2.57 2.31 2.07 1.83 1.62 1.41 1.21 1.03 0.86 100 3600 2.83 2.57 2.31 2.07 1.83 1.61 1.40 1.20 1.02 0.85 0 49 4°8 O 47 46 45 44 43 42 41 O 4O 9 160 168 167 166 165 164 163 162 161 16O I 280 288 287 286 285 284 283 282 281 28O 298 TABLE CVIII. ARGUMENT 77. Equation = 6".2 — 6". 18 sin 3y. o o o o O o o O 260 261 262 263 261 265 266 267 268 269 y no 141 142 143 144 145 146 147 148 149 i 2O 21 22 23 24 25 26 27 28 29 6 6.85 0.69 6.55 0.43 6.32 6.23 6.16 6.10 6.05 6.03 3600 100 0.85 0.69 0.55 0.43 0.32 0.23 0.16 0.10 0.05 0.03 3500 200 084 0.68 055 0.43 0.32 0.23 0.16 0.10 0.05 0.03 3400 300 0.84 0.68 0.54 0.42 0.32 0.23 0.16 0.10 0.05 0.03 3300 400 0.83 0.68 0.54 0.42 0.31 0.22 0.15 0.09 0.05 0.03 3200 500 0.83 0.67 0.54 0.42 0.31 0.22 0.15 0.09 0.05 0.03 3100 600 0.82 0.67 0.53 0.41 0.31 0.22 0.15 0.09 0.05 0.03 3000 700 0.82 0.67 0.53 0.41 0.31 0.22 0.15 0.09 0.05 0.03 2900 800 0.81 0.66 0.53 0.41 0.30 0.21 0.14 0.09 0.05 0.03 2800 900 0.81 0.66 0.52 0.40 0.30 0.21 0.14 0.09 0.05 0.02 2700 1000 0.80 0.66 0.52 0.40 0.30 0.21 0.14 0.09 0.04 0.02 2600 1100 0.80 0.65 0.52 0.40 0.30 0.21 0.14 0.09 0.04 0.02 2500 1200 0.79 0.65 0.51 039 0.29 0.20 0.13 0.08 0.04 0.02 2400 1300 0.79 0.65 0.51 0.39 0.29 0.20 0.13 0.08 0.04 0.02 2300 1400 0.78 0.64 0.51 0.39 0.29 0.20 0.13 0.08 0.04 0.02 2200 1500 0.78 0.64 0.50 0.39 0.29 0.20 0.13 0.08 0.04 0.02 2100 1600 0.77 0.63 0.50 0.38 0.28 0.20 0.13 0.08 0.04 0.02 2000 1700 0.77 0.63 0.50 0.38 0.28 0.20 0.13 0.08 0.04 0.02 1900 1800 0.77 0.63 0.49 0.38 0.28 0.19 0.12 0.08 0.04 0.02 1800 1900 0.76 0.62 0.49 0.38 0.28 0.19 0.12 0.08 0.04 0.02 1700 2000 0.76 0.62 0.49 0.37 0.27 0.19 0.12 0.07 0.04 0.02 1600 2100 0.75 0.61 0.48 0.37 0.27 0.19 0.12 0.07 0.04 0.02 1500 2200 0.75 0.61 0.48 0.37 0.27 0.19 0.12 007 0.04 0.02 1400 2300 0.74 0.61 0.48 0.37 0.27 0.19 0.12 0.07 0.04 0.02 1300 2400 0.74 0.60 0.47 0.36 0.26 0.18 0.11 0.07 0.04 0.02 1200 2500 0.73 0.60 0.47 0.36 0.26 0.18 0.11 0.07 0.04 0.02 1MX) 2600 0.73 0.59 0.47 0.36 0.26 0.18 0.11 0.07 0.04 0.02 1000 2700 0.73 0.59 0.46 0.35 0.26 0.18 0.11 0.07 0.04 0.02 900 2800 0.72 0.59 046 0.35 0.25 0.18 0.11 0.06 0.03 0.02 800 2900 0.72 0.58 0.46 0.35 0.25 0.18 0.11 0.06 0.03 0.02 700 3000 0.71 0.58 0.45 0.34 0.25 0.17 0.11 0.06 0.03 0.02 600 3100 0.71 0.57 0.45 0.31 0.25 0.17 0.11 0.06 0.03 0.02 500 3200 0.70 0.57 0.45 0.34 0.24 0.17 0.11 0.06 0.03 0.02 400 3300 0.70 0.56 0.44 0.33 0.24 0.17 0.10 0.06 0.03 0.02 300 3400 0.70 0.56 0.44 0.33 0.24 0.17 0.10 0.06 0.03 0.02 200 3500 0.69 0.56 0.44 0.33 0.24 0.17 0.10 0.06 0.03 0.02 100 3600 0.69 0.55 0.43 0.32 0.23 0.16 0.10 0.05 0.03 0.02 0 o O O O O o o O O O 39 38 37 36 35 34 33 32 31 3O 9 159 158 157 156 155 154 153 152 151 15O f 279 278 277 276 275 274 273 272 271 27O 299 TABLE CIX. Equation = 9".l -f 2". 17 cos. u — 8".80 sin. «. O 0 10 30 30 10 50 0 6O 70 80 O i| 0 0 0 1000 0 2000 0 3000 11.27 11.23 11.19 11.14 9.71 9.67 9.62 9.58 8.13 8.09 8.05 8.00 6.58 6.54 6.50 6.45 5.10 5.06 5.02 4.98 // 3.75 3.71 3.68 3.64 2.56 2.53 2.50 2.47 1.57 1.54 1.52 1.50 0.81 0.79 0.77 0.75 1 400 1 1400 1 2400 1 3400 11.10 11.06 11.02 10.97 9.54 9.49 9.45 9.41 7.96 7.91 7.87 7.82 6.41 6.37 6.33 6.28 4.94 4.90 4.86 4.82 3.61 3.57 3.54 3.51 2.44 2.42 2.39 2.36 1.47 1.45 1.43 1.40 0.73 0.72 0.70 0.68 2 800 2 1800 2 2800 10.93 10.89 10.85 9.36 9.32 9.28 7.78 7.73 7.69 6.24 6.20 6.16 4.78 4.75 4.71 3.47 3.44 3.40 2.33 2.30 2.27 1.38 1.36 1.33 0.66 0.65 0.63 3 200 3 1200 3 2200 3 3200 10.80 10.76 10.72 10.67 9.23 9.19 9.15 9.10 7.65 7.61 7.56 7.52 6.12 6.07 6.03 5.99 4.67 4.63 4.59 4.56 3.37 3.34 3.30 3.27 2.24 2.21 2.18 2.15 1.31 1.29 1.27 1.24 0.62 0.60 0.59 0.57 4 600 4 1600 4 2600 10.63 10.58 10.54 9.06 9.01 8.97 7.48 7.44 7.39 5.95 5.91 5.87 4.52 4.48 4.44 3.24 3.20 3.17 2.13 2.10 2.07 1.22 1.20 1.18 0.56 0.55 0.53 5 0 5 1000 5 2000 5 3000 10.49 10.45 10.40 10.36 8.92 8.88 8.84 8.79 7.35 7.31 7.27 7.22 5.83 5.78 5.74 5.70 4.41 4.37 4.33 4.30 3.14 3.10 3.07 3.04 2.04 2.01 1.98 1.96 1.16 1.14 1.12 1.10 0.52 0.50 0.49 0.48 6 400 6 1400 6 2400 6 3400 10.32 10.27 10.23 10.18 8.75 8.70 8.66 8.61 7.18 7.14 7.09 7.05 5.66 5.62 5.58 5.54 4.26 4.22 4.19 4.15 3.00 2.97 2.94 2.90 1.93 1.90 1.88 1.85 1.08 1.06 1.04 1.02 0.46 0.45 0.44 0.42 7 800 7 1800 7 2800 ' 10.14 10.10 10.06 8.57 8.52 8.48 7.01 6.96 6.92 5.50 5.46 5.42 4.11 4.08 4.04 2.87 2.84 2.81 1.82 1.80 1.77 1.00 0.98 0.96 0.41 0.40 0.39 8 200 8 1200 8 2200 8 3200 10.01 9.97 9.93 9.88 8.44 8.39 8.35 8.31 6.88 6.83 6.79 6.75 5.38 r..:< t 5.30 5.26 4.00 3.97 3.93 3.89 2.77 2.74 2.71 2.68 1.74 1.72 1.69 1.67 0.94 0.92 0.90 0.88 0.37 0.36 0.35 0.34 9 600 9 1600 9 2600 9.84 9.79 9.75 8.26 8.22 8.18 6.71 6.67 6.62 5.22 5.18 5.14 3.86 3.82 3.78 2.65 2.62 2.59 1.64 1.62 1.59 0.86 0.84 0.82 0.33 0.32 0.31 10 0 9.71 8.13 6.58 5.10 3.75 2.56 • 1.57 0.81 0.30 :ioo TABLE CIX. Equation = 9".l -f 2". 17 cos. u — 8".80 sin. «. -J 90 too 110 130 i:io 140 150 16O 170 O '/ 0 0 6.30 6.05 6.09 6'.39 6.97 i'.79 2.82 4.05 5.44 0 1000 0.29 0.05 0.09 0.40 0.98 1.81 2.85 4.08 5.48 0 2000 0.28 0.05 0.10 0.41 1.00 1.84 2.88 4.12 5.52 0 3000 0.27 0.05 0.10 0.43 1.02 1.86 2.92 4.16 5.56 1 400 0.26 0.05 0.11 0.44 1.04 1.89 2.95 4.19 5.60 1 1400 0.25 0.04 0.11 0.46 1.06 1.91 2.98 4.23 5.64 1 2400 0.24 0.04 0.12 0.47 1.08 1.94 3.02 4.27 5.68 1 3400 0.23 0.04 0.12 0.49 1.10 1.96 3.05 4.30 5.72 2 800 0.22 0.04 0.13 0.50 1.12 1.99 3.08 4.34 5.76 2 1800 0.21 0.04 0.14 0.52 1.14 2.02 3.12 4.38 5.80 2 2800 0.20 0.04 0.14 0.53 1.16 2.04 3.15 4.41 5.84 3 200 0.19 0.04 0.15 0.54 1.18 2.07 3.18 4.45 5.88 3 1200 0.18 0.04 0.16 0.56 1.21 2.10 3.22 4.49 5.92 3 2200 0.17 0.04 0.16 0.57 1.23 2.13 3.25 4.53 5.96 3 3200 0.17 0.04 0.17 0.59 1.25 2.15 3.28 4.57 6.00 4 600 0.16 0.04 0.18 0.60 1.28 2.18 3.32 4.60 6.04 4 1600 0.15 0.04 0.18 0.62 1.30 2.21 3.35 4.64 6.08 4 2600 0.14 0.04 0.19 0.63 1.32 2.24 3.38 4.68 6.12 5 0 0.14 0.04 0.20 0.65 1.35 2.27 3.12 4.72 6.17 5 1000 0.13 0.04 0.20 0.66 1.37 2.30 3.45 4.76 6.21 5 2000 0.13 0.04 0.21 0.68 1.39 2.33 3.48 4.80 6.25 5 3000 0.12 0.05 0.22 0.70 1.42 2.36 3.52 4.84 6.29 6 400 0.12 0.05 0.23 0.71 1.44 2.39 3.55 4.88 6.33 6 1400 0.11 0.05 0.24 0.73 1.47 2.42 3.5.') 4.92 6.38 6 2400 0.11 0.05 0.25 0.75 1.49 2.45 3.62 4.96 6.42 6 3400 0.10 0.05 0.26 0.76 1.52 2.48 3.66 5.00 6.46 7 800 0.10 0.06 0.27 0.78 1.54 2.51 3.69 5.04 6.50 7 1800 0.09 0.06 0.28 0.80 1.57 2.54 3.73 5.08 6.55 7 2800 0.09 0.06 0.29 0.82 1.59 2.57 3.76 5.12 6.59 8 200 0.08 0.06 0.30 0.83 1.61 2.60 3.80 5.16 6.63 8 1200 0.08 0.07 0.31 0.85 1.64 2.63 3.83 5.20 6.67 8 2200 0.07 0.07 0.32 0.87 1.66 2.66 3.87 5.24 6.72 8 3200 0.07 0.07 0.34 0.89 1.69 2.69 3.90 5.28 6.76 9 600 0.06 0.08 0.35 0.91 1.71 2.72 3.94 5.32 6.80 9 1600 0.06 0.08 0.36 0.93 1.74 2.75 3.97 5.36 6.84 9 2600 0.06 0.08 0.37 0.95 1.76 2.78 4.01 5.40 6.88 10 0 0.05 0.09 0.39 0.97 1.79 2.82 4.05 5.44 6.93 1 " • — •" • •• • — / — — 301 TABLE CIX. Equation = 9".l -f 2". 17 cos. u — 8".80 sin. u. 180 100 2OO •-iio 220 23O 240 250 26O o 6 0 1000 0 2000 0 3000 6.93 6.97 7.01 7.05 8.49 8.53 8.57 8.62 10.07 10.11 10.15 10.20 11.62 11.67 11.71 11.75 13.10 13.14 13.18 13.22 14.45 14.49 14.52 14.56 15.64 15.67 15.70 15.73 16.63 16.66 16.68 16.70 17.39 17.41 17.43 17.45 1 400 1 1400 1 2400 1 3400 7.09 7.14 7.18 7.22 8.66 8.70 8.75 8.79 10.24 10.29 10.33 10.38 11.79 11.84 11.88 11.92 13.26 13.30 13.34 13.38 14.59 14.63 14.66 14.70 15.76 15.79 15.82 15.85 16.73 16.75 16.77 16.80 17.47 17.48 17.50 17.52 2 800 2 1800 2 2800 7.26 7.31 7.35 8.83 . 8.88 8.92 10.42 10.47 10.52 11.96 12.00 12.05 13.42 13.45 13.49 14.73 14.76 14.80 15.88 15.90 15.93 16.82 16.84 16.87 17.54 17.55 17.57 3 200 3 1200 3 2200 3 3200 7.39 7.44 7.48 7.53 8.96 9.01 9.05 9.10 10.56 10.60 10.64 10.68 12.09 12.13 12.17 12.21 13.53 13.57 13.61 13.64 14.83 14.86 14.90 14.93 15.96 15.99 16.02 16.05 16.89 16.91 16.93 16.96 17.58 17.60 17.61 17.63 4 600 4 1600 4 2600 7.57 7.62 7.66 9.14 9.19 9.23 10.73 10.77 10.81 12.25 12.29 12.33 13.68 13.72 13.76 14.96 15.00 15.03 16.08 16.11 16.14 16.98 17.00 17.02 17.64 17.66 17.67 5 0 5 1000 5 2000 5 3000 7.71 7.75 7.79 7.84 9.28 9.32 9.37 9.41 10.85 10.90 10.94 10.98 12.37 12.41 12.46 12.50 13.79 13.83 13.87 13.90 15.06 15.10 15.13 15.16 16.16 16.19 16.22 16.24 17.04 17.06 17.08 17.10 17.68 17.70 17.71 17.72 6 400 6 1400 6 2400 6 3400 7.88 7.92 7.97 8.01 9.46 9.50 9.55 9.59 11.03 11.07 11.11 11.16 12.54 12.58 12.62 12.66 13.94 13.98 14.01 14.05 15.20 15.23 15.26 15.30 16.27 16.30 16.32 16.35 17.12 17.11 17.16 17.18 17.74 17.75 17.76 17.78 7 800 7 1800 7 2800 8.05 8.10 8.14 9.64 9.68 9.72 11.20 11.24 11.29 12.70 12.74 12.78 14.09 14.12 14.16 15.33 15.36 15.39 16.38 16.40 16.43 17.20 17.22 17.24 17.79 17.80 17.81 8 200 8 1200 8 2200 8 3200 8.18 8.23 8.27 8.31 9.77 9.81 9.85 9.90 11.33 11.37 11.41 11.46 12.82 12.86 12.90 12.94 14.20 14.23 14.27 14.31 15.43 15.46 15.49 15.52 16.46 16.48 16.51 16.53 17.26 17.28 17.:i() 17.32 17.83 17.N1 17.85 17.86 9 600 9 1600 9 2600 8.36 8.40 s.H 9.94 9.99 10.03 11.50 11.51 11.58 12.98 13.02 13.06 14.34 14.38 14.42 15.55 15.58 15.61 16.56 16.58 16.61 17.34 17.:«> 17.38 17.87 17.88 17.89 10 0 8.49 10.07 11.62 13.10 14.45 15.64 16.63 17.39 17.90 302 TABLE CIX. Equation = 9".l -f 2".17 cos u — 8''.80 sin «. 270 28O 290 300 sio 320 33O 34O 35O 0 0 0 1000 0 2000 0 3000 17.90 17.91 17.92 17.93 18.15 18.15 18.15 18.15 18.11 18.11 18.10 18.10 17.81 17.80 17.79 17.77 17.23 17.22 17.20 17.18 16.41 16.39 16.36 16.34 • 15.38 15.35 15.32 15.28 14.15 14.12 14.08 14.04 12.76 12.72 12.68 12.64 1 400 1 1400 1 2400 1 3400 17.94 17.95 17.96 17.97 18.16 18.16 18.16 18.16 18.09 18.09 18.08 18.08 17.76 17.74 17.73 17.71 17.16 17.14 17.12 17.10 16.31 16.29 16.26 16.24 15.25 15.22 15.18 15.15 14.01 13.97 13.93 13.90 12.60 12.56 12.52 12.48 2 800 2 1800 2 2800 17.98 17.99 18.00 18.16 18.16 18.16 18.07 18.06 18.06 17.70 17.68 17.67 17.08 17.06 17.04 16.21 16.18 16.16 15.12 15.08 15.05 13.86 13.82 13.79 12.44 12.40 12.36 3 200 3 1200 3 2200 3 3200 18.01 18.02 18.03 18.03 18.16 18.16 18.16 18.16 18.05 18.04 18.04 18.03 17.66 17.64 17.63 17.61 17.02 16.99 16.97 16.95 16.13 16.10 16.07 16.05 15.02 14.98 14.95 14.92 13.75 13.71 13.67 13.64 12.32 12.28 12.24 12.20 4 600 4 1600 4 2600 18.04 18.05 18.06 18.16 18.16 18.16 18.02 18.02 18.01 17.60 17.58 17.56 16.92 16.90 16.88 16.02 15.99 15.96 14.88 14.85 14.82 13.60 13.56 13.52 12.16 12.12 12.08 5 0 5 1000 5 2000 5 3000 18.06 18.07 18.08 18.08 18.16 18.16 18.16 18.15 18.00 18.00 17.99 17.98 17.55 17.54 17.52 17.50 16.85 16.83 16.81 16.78 15.93 15.90 15.87 15.84 14.78 14.75 14.72 14.68 13.48 13.44 13.40 13.36 12.03 11.99 11.95 11.91 6 400 6 1400 6 2400 6 3400 18.09 18.09 18.10 18.10 18.15 18.15 18.15 18.15 17.97 17.96 17.95 17.94 17.49 17.47 17.45 17.44 16.76 16.73 16.71 16.68 15.81 ir>.78 15.75 15.72 14.65 14.61 14.58 14.54 13.32 13.28 13.24 13.20 11.87 11.82 11.78 11.74 7 800 7 1800 7 2800 18.11 18.11 18.12 18.14 18.14 18.14 17.93 17.92 17.91 17.42 17.40 17.38 16.66 16.63 16.61 15.69 15.66 15.63 14.51 14.47 14.44 13.16 13.12 13.08 11.70 11.65 11.61 8 200 8 1200 8 2200 8 3200 18.12 18.13 18.13 18.14 18.14 18.13 18.13 18.13 17.90 17.89 17.88 17.86 17.37 17.35 17.33 17.31 16.59 16.56 16.54 16.51 15.60 15.57 15.54 15.51 14.40 14.37 14.33 14.30 13.04 13.00 12.96 12.92 11.57 11.53 11.49 11.44 9 600 9 1600 9 2600 18.14 18.14 18.15 18.12 18.12 18.12 17.85 17.84 17.83 17.29 17.27 17.25 16.49 16.46 16.44 15.48 15.45 15.42 14.26 14.23 14.19 12.88 12.84 12.80 11.40 11.36 11.32 10 0 18.15 18.11 17.81 17.23 16.41 15.38 14.15 12.76 11.27 303 TABLE CX. ARGUMENT 1 '. Equation = 348".0 -|- 186".8 cos x + 10".3 cos 2x -}- 0 '.6 cos 3x. Days. O 1 a 3 4 S Days. Equation. Diff. Equation. Diff. Equation. Ditr. Equation. Ditr. JvjtrilioiL. Diff Kquaiion. Ditr. d .00 338.66 .42 297 J9 .39 260.80 .35 229.06 .29 203.60 .22 185.13 .15 .01 338.24 .42 29730 .39 260.45 .35 228.77 .29 203.38 .22 184.98 .14 .02 337.82 .42 297.01 .39 260.10 .34 228.48 .29 203.16 .22 184.84 .15 .03 337.40 .43 296.62 .39 259.76 .35 228.19 .28 202.94 .22 184.69 .14 .04 336.97 .42 296.23 .39 259.41 .34 227.91 .29 202.72 .22 184.55 .15 .05 336.55 .42 295.84 .39 259.07 .34 227.62 .28 20250 .22 184.40 .14 .06 336.13 .42 295.45 .39 258.73 .34 227.34 .28 202 28 .21 ISI.Vil .14 .07 335.71 .42 295.06 .39 258.39 .34 227.06 .28 202.07 .22 184.12 .14 .08 335.29 .42 294.67 .39 258.05 .34 226.78 .28 201.85 .21 183.98 .14 .09 334.87 .42 294.28 .39 257.71 .34 226.50 .28 201.61 .21 183.84 .14 .10 334.45 .42 293.89 .39 257.37 .34 226.22 .28 201.43 .22 183.70 .14 .11 334.03 .42 293.50 .39 257.03 .34 225.94 .28 201.21 .21 183.56 .14 .12 333.61 .42 293.11 .39 256.69 .34 225.66 .28 201.00 .21 183.42 .14 .13 333.19 .42 292.72 .39 256.35 .34 225.38 .28 200.79 .21 183.28 .14 .14 332.77 .42 292.33 .39 256.01 .34 225.10 .28 200.58 .21 183.14 .14 .15 332.35 .41 291.94 .38 255.67 .34 224.82 .28 200.37 .21 183.00 .13 .16 '331.94 .42 291.56 .38 255.33 .34 224.54 .27 200.16 .21 182.87 .11 .17 . 331.52 .42 291.18 .38 254.99 .33 224.27 .28 199.95 .21 182.73 .10 .18 331.10 .42 290.80 .38 254.66 .34 223.99 .27 199.74 .21 182.61 .14 .19 330.68 .42 290.42 .38 254.32 .33 223.72 .28 199.51} .21 182.46 .13 20 330.26 .42 290.04 .39 253.99 .34 223.44 .27 199.32 .21 182.33 .13 .21 329.84 .42 289.65 .39 253.65 .33 223.17 .28 199.11 .20 182.20 .1.'! .22 329.42 .42 289.26 .38 253.32 .34 222.89 .27 198.91 .21 182.07 .13 .23 329.00 .42 288.88 .38 252.98 .33 222.62 .28 198.70 .20 1H1.94 .i:{ .24 328.58 .42 288.50 .38 252.65 .33 222.34 .27 198.50 .21 181.81 .13 .25 328.16 .42 288.12 .38 252.32 .33 222.07 .27 198.29 .20 181.68 .U .26 327.74 .42 287.74 .38 251.99 .33 221.80 .27 198.09 .20 lsi.f>f> ,i:( .27 827.88 .41 287.36 .38 251.66 .33 221.53 .27 197.89 .20 181.42 .13 .28 326.91 .41 286.98 .38 251.33 .33 221.26 .27 197.69 .20 IN 1.29 .12 .29 326.50 .41 286.60 .38 251.00 .33 220.99 .27 197.49 .20 181.17 .13 .30 326.09 .41 286.22 .38 250.67 .33 220.72 .27 197.29 .20 181.04 .12 .31 325.68 .41 285.84 .38 250.34 .33 220.45 .27 197.09 .20 180.03 .10 .32 325.27 .42 285.46 .38 250.01 .:i:t 220.18 .27 196.89 .20 180.79 .12 .:« 324.85 .42 285.08 .38 249.68 .:(.-( 219.91 .27 196.69 .20 180.67 .18 .34 324.43 .41 284.7(1 .38 249.88 .33 219.64 .27 196.49 .20 180.54 .13 .35 324.02 .41 (84.83 .38 249.02 .:« 219.37 .26 196.-J!) .19 180.42 .12 .36 :«3.6 i .41 283.94 .38 248.70 .:« 219.11 .27 1%.H) .1!) ISO. U() .12 .37 323.20 .41 888.66 .:)- 248.38 .:« 218.84 .26 1 95. 91 .1!) ISO. IN ,W .38 322.79 .42 283.19 .37 248.06 .:!-.> 218.58 .26 195.72 .19 180.06 .12 .39 322.37 .42 282.82 .37 347.74 .32 218.32 .25 195.58 .19 170.91 .12 .40 321.95 .42 282.45 .38 247.42 .33 218.07 .26 195.:t I .19 !-!).*•.> .12 .41 831.58 .41 282.07 Jto •J 17 Oil .:« 217.81 .26 i!i:>.i."i .19 179.70 .11 .42 SSI. 19 .41 881.69 .38 846.77 .:« 217.55 .26 l!)l.!)li .1!) I7!)..r)i) .12 .48 320.71 .41 881.8] .37 246.45 .83 217.29 at 194.77 .III 179.47 .11 .44 320.30 .41 280.94 .37 246.13 .:« 217.03 .26 194.58 .19 179.36 .12 .45 319.89 .41 •JSO..Y7 .37 •-M5.81 .:t-J 216.77 .26 194.:i!> .19 179.2 1 .11 .46 819.48 .41 •JMI-JO .:t~ v ir> i!" .32 216.51 .26 1 ill. -JO .18 179.13 .11 .47 319.07 .41 279.N3 .H7 VM.Y17 .:u 216.J8 .25 lill.O--' .1!) 179.02 .11 .48 318.66 .41 279.46 .37 244.85 .32 216.00 .26 193.83 .18 17s.il 1 .11 .49 818.88 .41 279.0!) .37 244.53 .33 215.74 .25 1!KU;:> .1!) 17N.HO .11 .50 :il7.84 .41 278.72; .37 244.20 .:K 215.49 .25 193.46 .is 178,88 .11 Von. — Arg. !"«= Arg. 1 -»- 13.77728. 304 TABLES OF THE MOON'S PARALLAX THESE tables are constructed from the formulae given by WALKER in a report to Prof. BACHE, the Superintend- ent of the Coast Survey, and printed on the 114th page of the Coast Survey Report for 1848; and from those given by ADAMS on the 263d page of Volume XIII. of the Proceedings of the Royal Astronomical Society of London. They are substituted for the Tables given in the first edition of this work. The following is the formula for the Horizontal Parallax. EQUATION. t •j EQUATION. B H B - . g g sin Moon's Equatorial Horizontal § a n Moon's Equatorial Horizontal O g 1 Parallax = 5 EH Parallax, continued. § 3 a 3000. A. — 6.31 cos [120] W.&A. 15 121 - 345.58 A. 110 -}- 0.39 A. 122 - 186.51 cos - 10.17 cos 1 '2" A. A. 1 110 110 - 0.11 cos [11] h 0.28 cos [22] A. A. 16 122 122 0.63 cos 3= A. 110 - 0.14 A. 123 0.04 cos '4' A. 110 - 0.14 cos [110] A. 17 123 - 29.44 A. 111 h 0.22 A. 124 — 0.95 cos [10] A. 3 111 - 0.22 cos [1'21] A. 18 124 - 28.23 cos -20] A. 111 - 0.12 A. 125 - 0.26 cos [40] A. 111 — 0.12 cos [2'3] A. 19 125 - 34.67 A. 112 h 0.12 A. 126 - 34.30 cos [21'] A. 2 112 - 0.12 cos [1'02] A. 20 126 r 0.-37 cos 42'] A. 112 - 0.09 A. 127 1.45 W.&A. 113 - 0.09 cos [2^0] A. 22 127 1.45 cos "1 21'] W.&A. 6 113 - 0.09 A. 128 r 3.09 A. 114 — 0.09 cos [202' 1] A. 23 128 3.09 cos [21] A. 7 114 -f 0.10 A. 129 1.92 W.&A. 115 — 0.10 cos [102] A. 24 129 1.92 cos ~1< 20] W.&A. 8 115 - 0.05 A. 130 1.16 A. 116 - 0.05 cos [2'21'] A. 28 130 1.16 cos [I'Oll A. 9 116 - 0.06 A. 131 - 0.95 A. 117 - 0.06 cos [1'41'] A. 30 131 — 0.95 cos [101] A. 10 117 - 0.40 A. 132 + 0.71 A. 118 — 0.40 cos [100] A. 4 132 — 0.71 cos ;2ooi'] A. 11 118 + 0.32 A. 133 -f 0.60 A. 119 -|- 0.01 cos [I'l] A. 5 133 f\- 0.60 cos 4- 0.23 [41'] A. W.&A. 13 119 120 — 0.31 cos [2'2] + 0.11 A. A. 133 134 — 0.23 cos [121'] W.&A. 14 120 — 0.11 cos [202'0] A. 12' 134 + 0.31 W. & A. 121 Table 135 contains the excess of the Moon's Horizontal Parallax above its sine. 305 TABLE CX. ARGUMENT 1. Equation = 345".58 -f ]86".51 cos x -\- 10".17 cos 2x -f- 0".63 cos 3x -+- 0".04 cos 4*. Days. O 1 9 3 4 5 Daft. Equation. Dift. Equation. Diff. Equation. Diff. Equation. Diff. Equation. DifT. Equation. Diff d. ii ii a it n .00 334.49 .42 377.26 .43 419.92 .42 459.95 .38 494.63 .31 621.36 .22 .01 334.91 .42 377.69 .43 420.34 .42 460.33 .37 494.94 .31 521.58 .21 .02 335.33 .43 378.12 .43 420.76 .41 460.70 .38 495.25 .31 521.79 .22 .03 335.76 .42 378.55 .43 421.17 .42 461.08 .37 495.56 .31 522.01 .21 .04 336.18 .42 378.98 .43 421.59 .42 461.45 .38 495.87 .31 522.22 .22 .05 336.60 .42 379.41 .43 422.01 .42 461.83 .37 496.18 .30 522.44 .21 .06 337.02 .42 379.84 .43 422.43 .41 462.20 .38 496.48 .31 522.65 .21 .07 337.44 .43 380.27 .44 422.81 .42 462.58 .37 496.79 .30 522.86 .22 .08 337.87 .42 380.71 .43 423.26 .41 462.95 .38 497.09 .31 523.08 j .21 .09 338.29 .42 381.14 .43 423.67 .42 463.33 .37 497.40 .30 523.29 .21 .10 338.71 .42 381.57 .43 424.09 .41 463.70 .37 497.70 .30 523.50 .21 .11 339.13 .42 382.00 .43 424.50 .42 464.07 .37 498.00 .30 523.7 1 .20 .12 339.55 .43 382.43 .43 424.92 .41 464.44 .38 498.30 .31 523.91 .21 .13 339.98 .42 382.86 .43 425.33 .42 464.82 .37 498.61 .30 524.12 .20 .14 340.40 .42 383.29 .43 425.75 .41 465.19 .37 498.91 .30 524.32 .21 .15 340.82 .42 383.72 .43 426.16 .41 465.56 .37 499.21 .30 684.53 .20 .16 341.24 .43 384.15 .43 426.57 .41 465.93 .37 499.51 .29 524.73 .20 .17 341.67 .42 384.58 .43 426.98 .42 466.30 .36 499.80 .30 524.93 .21 .18 342.09 .43 385.01 .43 427.40 .41 466.66 .37 500.10 .29 525.14 .20 .19 342.52 .42 385.44 .43 427.81 .41 467.03 .37 500.39 .30 525.34 .20 .20 342.94 .42 385.87 .43 428.22 .41 467.40 .36 500.69 .29 525.54 .20 .21 343.36 .43 386.30 .43 428.63 .41 467.76 .37 500.98 .30 525.74 .19 .22 343.79 .42 386.73 .44 429.04 .42 468.13 .36 501.28 .29 525.93 .20 .23 344.21 .43 387.17 .43 429.46 .41 468.49 .37 501.57 .30 526.13 .19 .24 344.64 .42 387.60 .43 429.87 .41 468.86 .36 501.87 .29 526.32 .20 .25 345.06 .43 388.03 .43 430.28 .41 469.22 .36 502.16 .29 526.52 .19 .26 345.49 .42 388.46 .43 430.69 .41 469.58 .37 502.45 .29 526.71 .19 .27 345.91 .43 388.89 .43 431.10 .41 469.95 .36 502.74 .28 526.90 .19 .28 346.34 .42 389.32 .43 431.51 .41 470.31 .37 503.02 .29 527.09 .19 .29 346.76 .43 389.75 .43 431.92 .41 470.68 .36 503.31 .29 527.28 .19 .30 347.19 .43 390.18 .43 432.33 .41 471.04 .36 503.60 .28 527.47 .19 .31 347.62 .43 390.61 .43 432.74 .41 471.40 .36 503.88 .28 527.66 .18 .32 318.05 A& 391.04 .42 433.15 .40 471.76 .35 504.16 .29 527.84 .19 .33 348.47 .43 391.46 .43 488.66 .41 472.11 .36 504.45 .28 528.03 .18 .34 348.90 .43 391.89 .43 433.96 .41 472.47 .36 504.73 .28 528.21 .19 .35 349.33 .43 392.32 .43 434.37 .41 472.83 .36 505.01 .28 528.40 .18 .36 349.76 .42 392.75 .43 (34.78 .40 473.19 .35 505.29 .28 528.58 .18 .37 350. IN .43 898.18 .43 435.18 .41 473.54 .36 505.57 .28 528.76 .18 .38 350.61 .42 898.61 .43 435.59 .40 473.90 .35 505.85 .28 628.94 .18 .39 351.03 .43 394.04 .41 435.99 .41 474.25 .36 506.13 .28 529.12 .18 .40 351.46 .43 39447 .43 436.40 .40 474.61 .35 506.41 .28 529.30 .17 .41 861.89 .43 894.90 .48 436.80 .41 474.96 .36 506.69 .27 629.47 .18 .42 :{.w.:« .42 395.33 .42 437.21 .40 475.32 .35 506.96 .28 689.66 .17 .43 352.7 1 .43 395.75 .43 437.61 .41 475.67 .36 507.24 .27 529.82 .18 .44 :{;->:( n .43 396.18 .43 4«8.02 .40 476.03 .35 507.51 .28 530.00 .17 .45 353.60 .43 396.61 .43 438.42 .40 476.38 .35 507.79 .27 530.17 .17 .46 351.03 M 397.01 .41 438.82 .40 476.73 .:{.r> 508.06 .27 530.34 .17 .47 351. Hi .1-' 897.4*3 .42 439.22 .41 477.08 .35 608.83 .27 530.51 .17 .48 35J.8N .43 397.89 M 439.63 .40 477.43 .:tr> 608.60 .27 5:i0.68 .17 .49 3.-,5.3 1 ,1:1 898.83 .43 440.03 .40 477.78 .:jf> 508.87 .27 530.85 .17 .50 :!.-.:- 7 1 .13 398.75 .43 440.43 .40 478.13 .35 509.14 .27 531.02 .16 306 TABLE CX. ARGUMENT 1. Equation = 345".58 + 186".51 cos x 4- 10".17 cos 2a; 4- 0".63 cos 3x 4- 0".04 cos 4x. Days. O I 9 » 4 5 Days. Equation. Diff. Equation. Diff Equation. Diff. Equation. Diff. Equation Diff Equation. Diff d. .50 355.74 .43 398.75 .43 440.43 .40 478.13 .35 509". 14 .27 53i'.02 .16 .51 356.17 .43 399.18 .43 440.83 .40 478.48 .34 509.41 .26 531.18 .17 .52 356.60 .43 399.61 .42 441.23 .40 478.82 .35 509.67 .27 531.35 .16 .53 357.03 .43 400.03 .43 441.63 .40 479.17 .34 509.94 26 531.51 .17 .54 357.46 .43 400.46 .43 442.03 .40 479.51 .35 510.20 .27 531.68 .16 .55 357.89 .43 400.89 .43 442.43 .40 479.86 .34 510.47 .26 531.84 .16 .56 358.32 .43 401.32 .42 442.83 .40 480.20 .34 510.73 .26 532.00 .16 .57 358.75 .42 401.74 .43 443.23 .40 480.54 .35 510.99 .27 532.16 .15 .58 359.17 .43 402.17 .42 443.63 .40 480.89 .34 511.26 .26 532.31 .16 .59 359.60 .43 402.59 .43 444.03 .40 481.23 .34 511.52 .26 532.47 .16 .60 360.03 .43 403.02 .43 444.43 .40 481.57 .34 511.78 .26 . 532.63 .15 .61 360.46 .43 403.45 .42 444.83 .39 481.91 .34 512.04 .25 532.78 .15 .62 360.89 .43 403.87 .43 445.22 .40 482.25 .34 512.29 .26 532.93 .16 .63 361.32 .43 404.30 .42 445.62 .39 482.59 .34 512.55 .25 533.09 .15 .64 361.75 .43 404.72 .43 446.01 .40 482.93 .34 512.80 .26 533.24 .15 .65 362.18 .43 405.15 .43 446.41 .39 483.27 .34 513.06 .25 533.39 .15 .66 362.61 .43 405.58 .42 446.80 .40 483.61 .33 513.31 .25 533.54 .14 .67 363.04 .43 406.00 .43 447.20 .39 483.94 .34 513.56 .26 533.68 .15 .68 363.47 .43 406.43 .42 447.59 .40 484.28 .33 513.82 .25 533.83 .14 .69 363.90 .43 406.85 .43 447.99 .39 484.61 .34 514.07 .25 533.97 .15 .70 364.33 .43 407.28 .42 448.38 .39 484.95 .33 514.32 .25 534.12 .14 .71 364.76 .43 407.70 .43 448.77 .39 485.28 .33 514.57 .24 534.26 .14 .72 365.19 .43 408.13 .42 449.16 .40 485.61 .34 514.81 .25 534.40 .14 .73 365.62 .43 408.55 .43 449.56 .39 485.95 .33 515.06 .24 534.54 .14 .74 366.05 .43 408.98 .42 449.95 .39 486.28 .33 515.30 .25 534.68 .14 .75 366.48 .43 409.40 .42 450.34 .39 486.61 .33 515.55 .24 534.82 .14 .76 366.91 .43 409.82 .42 450.73 .39 486.94 .33 515.79 .24 534.96 .13 .77 367.34 .44 410.24 .43 451.12 .38 487.27 .32 516.03 .25 535.09 .14 .78 367.78 .43 410.67 .42 451.50 .39 487.59 .33 516.28 .24 535.23 .13 .79 368.21 .43 411.09 .42 451.89 .39 487.92 .33 516.52 .24 535.36 .14 .80 368.64 .43 411.51 .42 452.28 .39 488.25 .33 516.76 .24 535.50 .13 .81 369.07 .43 411.93 .42 452.67 .39 488.58 .32 517.00 .24 535.63 .13 .82 369.50 .43 412.35 .43 453.06 .38 488.90 .33 517.24 .23 535.76 .13 .83 369.93 .43 412.78 .42 453.44 .39 489.23 .32 517.47 .24 535.89 .13 .84 370.36 .43 413.20 .42 453.83 .39 489.55 .33 517.71 .24 536.02 .13 .85 370.79 .43 413.62 .42 454.22 .38 489.88 .32 517.95 .23 536.15 .12 .86 371.22 .43 414.04 .42 454.60 .39 490.20 .32 518.18 .23 536.27 .13 .87 371.65 .44 414.46 .43 454.99 .38 490.52 .32 518.41 .24 536.40 .12 .88 372.09 .43 414.89 .42 455.37 .39 490.84 .32 518.65 .23 536.52 .13 .89 372.52 .43 415.31 .42 455.76 .38 491.16 .32 518.88 .23 536.65 .12 .90 372.95 .43 415.73 .42 456.14 .38 491.48 .32 519.11 .23 536.77 .12 .91 373.38 .43 416.15 .42 456.52 .38 491.80 .32 519.34 .23 536.89 .12 .92 373.81 .43 416.57 .42 456.90 .39 492.12 .32 519.57 .22 537.01 .11 .93 374.24 .43 416.99 .42 457.29 .38 492.43 .32 519.79 .23 537.12 .12 .94 37467 .43 417.41 .42 457.67 .38 492.75 .32 520.02 .23 537.24 .12 .95 375.10 .43 417.83 .42 458.05 .38 493.07 .31 520.25 .22 537.36 .11 .96 375.53 .43 418.25 .42 458.43 .38 493.38 .31 520.47 .22 537.47 .11 .97 375.96 .44 418.67 .41 458.81 .38 493.69 .32 520.69 .23 537.58 .12 .98 376.40 .43 419.08 .42 459.19 .38 494.0 .31 520.92 .22 537.70 .11 .99 376.83 .43 419.50 .42 459.57 .38 494.32 .31 521.14 .22 537.8 .11 1.00 377.26 .43 419.92 .43 459.95 .38 494.63 .31 521.36 .22 537.92 .11 307 TABLE CX. ARGUMENT i. Equation = 34& .58 -f 186';.51 cos x + 10".17 cos 2* -f- 0".63 cos S* -f- 0".04 cos 4x. Days. 6 r DiB. 8 9 1O 11 Day.. Equation. Diff. Equation. Equation. Diff. Equation. Diff. Equation Diff. Equation. Diff. d. .00 537.92 .11 542.88 .01 535.80 .13 517.31 .24 488.99 .33 453.16 .39 .01 588.03 .10 542.87 .01 535.67 .13 517.07 .24 488.66 .32 452.77 .39 .02 538.13 .11 542.86 .02 535.54 .14 516.83 .24 488.34 .33 452.38 .38 .03 538.24 .10 542.84 .01 535.40 .13 516.59 .24 488.01 .32 452.00 .39 .04 538.34 .11 542.83 .01 535.27 .13 516.35 .24 487.69 .33 451.61 .39 .05 538.45 .10 542.82 .02 535.14 .14 516.11 .25 487.36 .33 451.22 .39 .06 538.55 .10 542.80 .02 535.00 .14 515.86 .24 487.03 .33 450.83 .39 .07 538.65 .10 542.78 .02 534.86 .13 515.62 .25 486.70 .33 450.44 .39 .08 538.75 .10 542.76 . .02 534.73 .14 515.37 .24 486.37 .33 450.05 .39 .09 538.85 .10 542.74 .02 534.59 .14 515.13 .25 486.04 .33 449.66 .39 .10 538.95 .09 542.72 .03 534.45 .14 514.88 .25 485.71 .33 449.27 .39 .11 539.04 .10 542.69 .02 684.81 .15 514.63 .25 485.38 .34 448.88 .40 .12 539.14 .09 542.67 .03 534.16 .14 514.38 .25 485.04 .33 448.48 .39 .13 539.23 .10 542.64 .02 534.02 .15 514.13 .25 484.71 .34 448.09 .40 .14 539.33 .09 542.62 .03 533.87 .14 513.88 .25 484.37 .33 447.69 .39 .15 539.42 .09 542.59 .03 533.73 .15 U8.B8 .25 484.04 .34 447.30 .39 .16 539.51 .09 542.56 .03 533.58 .15 513.38 .26 483.70 .34 446.91 .40 .17 539.60 .09 542.53 .04 533.43 .15 513.12 .25 483.36 .33 446.51 .39 .18 539.69 .09 542.49 .03 533.28 .15 512.87 .26 483.03 .34 446. 12 .40 .19 539.78 .09 542.46 .03 533.13 .15 512.61 .25 482.69 .34 445.72 .39 .20 539.87 .08 542.43 .04 532.98 .16 512.36 .26 482.35 .34 445.33 .40 .21 539.95 .08 542.39 .04 532.82 .15 512.10 .26 482.01 .34 444.93 .40 .22 54003 .09 542.35 .03 532.67 .16 511.84 .25 481.67 .35 444.53 .39 .23 540.12 .08 542.32 .04 532.51 .15 511.59 .26 481.32 .34 444.14 .40 .24 540.20 .08 542.28 .04 532.36 .16 511.33 .26 480.98 .34 443.74 .40 .25 540.28 .08 542.24 .04 532.20 .16 511.07 .26 480.64 .34 443.34 .40 .26 540.36 ' .08 542.20 .05 532.04 .16 510.81 .27 480.30 .35 442.94 .40 .27 540.44 .07 542.15 .04 531.88 .17 510.54 .26 479.95 .34 442.54 .40 .28 540.51 .08 542.11 .05 531.71 .16 510.28 .27 479.61 .35 442.14 .40 .29 540.59 .08 542.06 .04 531.55 .16 510.01 .26 479.26 .34 441.74 .40 .30 540.67 .07 542.02 .05 531.39 .17 509.75 .27 478.92 .35 441.34 .40 .31 540.74 .07 541.97 .05 531.22 .16 509.48 .27 478.57 .35 440.94 .40 .32 540.81 .07 541.92 .05 531.06 .17 509.21 .26 478.22 .34 440.54 .40 .33 540.88 .07 541.87 .05 530.89 .16 508.95 .27 477.88 .35 440.14 .40 .34 540.95 .07 M1.8S .05 530.73 .17 508.68 .27 477.53 .35 439.74 .40 .35 541.02 .07 541.77 .06 530.56 .17 508.41 .27 477.18 .35 439.34 .40 .36 M1.09 .06 541.71 .05 530.39 .17 508.14 M 476.83 .35 488.9 .41 .37 Ml. 16 .07 M1.64 .06 530.22 .18 507.86 .27 476.48 .36 438.51 .40 J8 541.22 .06 M1.M .05 530.04 .17 507.59 .28 476.12 .35 488.11 .41 .39 541.28 .07 541.55 .06 529.87 .17 507.31 .27 475.77 .35 437.72 .40 .40 M14H .06 541.49 .06 529.70 .18 507.04 .28 475.42 .sr 437.32 .41 .41 5 1 1 . 1 1 .06 Ml. 48 .06 529.52 .18 50fi.76 .27 475.07 .36 436.!)! .40 .42 M1.41 .05 541.37 .07 529.34 .17 506.49 .28 474.71 .nr 436.51 .41 .43 54152 .06 Ml JO .06 5-jit.i- .18 60651 .27 474.36 .3* 436.10 .40 .44 541.58 .06 r. i i .-j i .06 528.99 .18 505.94 .28 471.0* .35 435.70 .41 .45 541.64 .05 541.18 .07 528.81 .18 505.66 .28 473.6.r .36 435.29 .41 .46 Ml. 61 .05 5 i i . i i .07 638.69 .18 505.38 .28 478.0) .3f 434.88 .40 .47 541.74 .06 M1.D4 .07 638.41 .19 505.10 » 472.93 .35 434.48 .41 .48 541.80 .05 540.97 .07 628.2< .18 504.81 as 472.58 .36 484.01 .40 .49 5U.N5 .05 :> 10.90 .07 528.08 .18 501.53 .28 472.22 .:« •133.67 .41 .50 541.90 .05 510.83 .07 527.90 .19 504.25 .29 471.8( .36 433.26 .41 TABLE CX. ARGUMENT 1. Equation == 345".58 + 186".51 cos x -f- 10".17 cos 2z -j- 0".63 cos 3* + 0".04 cos 4*. Days. 6 r 8 9 10 11 Days. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. Equation Diff. Equation. Diff (1. .50 54L90 .05 540.83 .07 527.90 .19 504.25 .29 471.86 .36 433.26 .41 .51 541.95 .05 540.76 .08 527.71 .19 503.96 .29 471.50 .36 432.85 .41 .52 542.00 .04 540.68 .07 527.52 .18 503.67 .28 471.14 .37 432.44 .41 .53 542.04 .05 540.61 .08 527.34 .19 503.39 .29 470.77 .36 432.03 .41 .54 542.09 .05 540.53 .07 527.15 .19 503.10 .29 470.41 .36 431.62 .41 .55 542.14 .04 540.46 .08 526.96 .19 502.81 .29 470.05 .36 431.21 .41 .56 542.18 .04 540.38 .08 526.77 .20 502.52 .29 469.69 .37 430.80 .41 .57 542.22 .04 540.30 .08 526.57 .19 502.23 .29 469.32 .36 4:i0.39 .41 .58 542.26 .04 540.22 .08 526.38 .20 501.94 .29 468.96 .37 429.98 .41 .59 542.30 .04 540.14 .08 526.18 .19 501.65 .29 468.59 .36 429.57 .41 .60 542.34 .04 540.06 .09 525.99 .20 501.36 .29 468.23 .37 429.16 .41 .61 542.38 .03 539.97 .08 525.79 .20 501.07 .30 467.86 .37 428.75 .41 .62 542.41 .04 539.89 .09 525.59 .20 500.77 .29 467.49 .36 428.34 .42 .63 542.45 .03 539.80 .08 525.39 .20 500.48 .30 467.13 .37 427.92 .41 .64 542.48 .04 539.72 .09 525.19 .20 500.18 .29 466.76 .37 427.51 .41 .65 542.52 .03 539.63 .09 524.99 .20 499.89 .30 466.39 .37 427.10 .41 .66 542.55 .03 539.54 .09 524.79 .21 499.59 .30 466.02 .37 426.69 .42 .67 542.58 .02 539.45 .10 524.58 .20 499.29 .30 465.65 .37 426.27 .41 .68 542.60 .03 539.35 .09 524.38 .21 498.99 .30 465.28 .37 425.86 .42 .69 542.63 .03 539.26 .09 524.17 .20 498.69 .30 464.91 .37 425.44 .41 .70 542.66 .02 539. 17 .10 523.97 .21 498.39 .30 464.54 .37 425.03 .42 .71 542.68 .02 539.07 .10 523.76 .21 498.09 .30 464.17 .37 424.61 .41 .72 542.70 .03 538.97 .09 523.55 .21 497.79 .31 463.80 .38 424.20 .42 .73 542.73 .02 538.88 .10 523.34 .21 497.48 .30 463.42 .37 423.78 .41 .74 542.75 .02 538.78 .10 523.13 .21 497.18 .30 463.05 .37 423.37 .42 .75 542.77 .02 538.68 .10 522.92 .21 496.88 .31 462.68 .38 422.95 .42 .76 542.79 .02 538.58 .11 522.71 .22 496.57 .31 462.30 .37 422.53 .41 .77 542.81 .01 538.47 .10 522.49 .21 496.26 .30 461.93 .38 422.12 .42 .78 542.82 .02 538.37 .11 52-2.28 .22 495.9(i .31 461.55 .37 421.70 .41 .79 542.84 .02 538.26 .10 522.06 .21 495.65 .31 461.18 .38 421.29 .42 .80 542.86 .01 538.16 .11 521.85 .22 495.34 .31 460. SO .3S 420.87 .42 .81 542.87 .01 5J8.05 .11 521.03 .22 495.03 .31 460.42 .as 420.45 .42 .82 542.88 .01 537.94 .10 521.41 .22 494.72 .32 460.04 .37 420.03 .41 .83 542.89 .01 537.84 .11 521.19 .22 494.40 .31 459.67 .38 419.62 .42 .84 542.90 .01 537.73 .11 520.97 .22 494.09 .31 459.29 .38 419.20 .42 .85 542.91 .00 537.62 .12 520.75 .22 493.78 .31 458.91 .38 418.78 .42 .86 542.91 .01 537.50 .11 520.53 .23 493.47 .32 458.53 .38 418.36 .42 .87 542.92 .00 537.39 .12 520.30 .22 493.15 .31 458.15 .38 417.94 .42 .88 542.92 .01 537.27 .11 520.08 .23 492.84 .32 457.77 .38 417.52 .42 .89 542.93 .00 537.16 .12 519.85 .22 492.52 .31 457.39 .38 417.10 .42 .90 542.93 .00 537.04 .12 519.63 .23 492.21 .32 457.01 .38 416.68 .42 .91 512.93 .00 536.92 .12 519.40 .23 491.89 .32 456.63 .39 416.26 .42 .92 542.93 .01 536.80 .13 519.17 .23 491.57 .32 456.24 .38 415.84 .42 .93 542.92 .00 536.67 .12 518.94 .23 491.25 .32 455.86 .39 415.42 .42 .94 542.92 .00 536.55 .12 518.71 .23 490.93 .32 455.47 .38 415.00 .42 .95 542.92 .01 536.43 .13 518.48 .23 490.61 .32 455.09 .39 414.58 .42 96 542.91 .01 536.30 .12 518.25 .24 490.29 .33 454.70 .38 414.16 .42 .97 542.90 .00 536.18 .13 518.01 .23 489.96 .32 454.32 .39 413.74 .43 .98 542.90 .01 536.05 .12 517.78 .24 489.64 .33 453.93 .38 413.31 .42 .99 542.89 .01 535.93 .13 517.54 .23 489.31 .32 453.55 .39 412.89 .42 1.00 542.88 .01 535.80 .13 517.31 .24 488.99 .33 453.16 .39 412.47 .42 1 309 TABLE CX. ARGUMENT 1. Equation = 345".58 + 186". 51 cos x + 10". 17 cos 2x + 0".63 cos 3z -f 0".04 cos Days. 19 13 14 15 16 17 Days. Equation. Diff. Equation. Diff Equation. Diff. Equal iori. Diff. Equation. Diff. Equation. Diff. d. it ii ( n ( .00 412.47 .42 369.62 .43 327.07 .42 286.97 .38 251.04 .33 220.59 .27 .01 412.05 .42 369.19 .43 326.65 .41 286.59 .38 250.71 .33 220.32 .27 .02 411.63 .43 368.76 .44 326.24 .42 286.21 .38 250:38 .34 220.05 .28 .03 411.20 .42 368.32 .43 325.82 .41 285.83 .38 250.04 .33 219.77 .27 .04 410.78 .42 367.89 .43 325.41 .42 285.45 .38 249.7 1 .33 219.50 .27 .05 410.36 .42 367.46 .43 324:99 .41 285.07 .38 249.38 .33 219.23 .27 .06 409.94 .43 367.03 .43 324.58 .42 284.69 .38 249.05 .33 218.96 .27 .07 409.51 .42 366.60 .43 324.16 .41 284.31 .38 248.72 .33 218.69 .26 .08 409.09 .43 366.17 .43 323.75 .42 283.93 .38 248.39 .33 218.43 .27 .09 408.66 .42 365.74 .43 323.33 .41 283.55 .38 248.06 .33 218.16 .27 .10 408.24 .42 365.31 .43 322.92 .41 283.17 .38 247.73 .33 217.89 .27 .11 407.82 .43 364.88 .43 322.51 .41 282.79 .38 247.40 .33 217.62 .26 .12 407.39 .42 364.45 .43 322.10 .42 282.41 .37 247.07 .32 217.36 .27 .13 406.97 .43 364.02 .43 321.68 .41 282.04 .38 246.75 .33 217.09 .26 .14 406.54 .42 363.59 .43 321.27 .41 281.66 .38 246.42 .33 216.83 .27 .15 406.12 .43 363.16 .43 320.86 .41 281.28 .37 246.09 .32 216.56 .26 .16 405.69 .42 362.73 .43 320.45 .41 280.91 .38 245.77 .33 216.30 .26 .17 405.27 .43 362.30 .43 320.04 .42 280.53 .37 245.44 .32 216.04 .27 .18 404.84 .42 361.87 .43 319.62 .41 280.16 T38 245.12 .33 215.77 .26 .19 404.42 .43 361.44 .43 319.21 .41 279.78 .37 244.79 .32 215.51 .26 .20 403.99 .43 361.01 .43 318.80 .41 279.41 .37 244.47 .32 215.25 .26 .21 403.56 .42 360.58 .43 318.39 .41 279.04 .38 244.15 .32 214.99 .26 .22 403. 14 .43 360.15 .43 317.98 .42 278.66 .37 243.83 .32 214.73 .25 .23 402.71 .42 359.72 .43 317.56 .41 278.29 .38 243.51 .32 214.48 .26 .24 402.29 .43 359.29 .43 317.15 .41 277.91 .37 243.19 .32 214.22 .26 .25 401.86 .43 358.8H .43 316.74 .41 277.54 .37 242.87 .32 213.96 .26 .26 401.43 .43 358.43 .43 316.33 .41 277.17 .37 242.55 .32 213.70 .25 .27 401.00 .42 358.00 .42 315.92 .40 276.80 .37 242.23 .32 213.45 .26 .28 400.58 .43 357.58 .43 315.52 .41 276.43 .37 241.91 .32 213.19 .25 .29 400.15 .43 357.15 .43 315.11 .41 276.06 .37 241.59 .32 212.94 .26 .30 399.72 .43 356.72 .43 314.70 .41 275.69 .37 241.27 .31 212.68 .25 .31 399.29 .42 356.29 .43 314.29 .41 275.32 .37 240.96 .32 212.43 .25 .32 398.87 .43 355.86 .42 313.88 .40 274.95 .36 210.64 .31 212.18 .26 .33 398.44 .42 355.44 .43 313.48 .41 274.59 .37 240.33 .32 211.92 .25 .34 398.02 .43 355.01 .43 313.07 .41 274.22 .37 240.01 .31 211.67 .25 .35 397.59 .43 354.58 .43 312.66 .41 273.85 .37 239.70 .31 211.42 .25 .36 :t97.i<; .43 354.15 .43 312.25 .40 273.48 .36 239.39 .31 211.17 .25 .37 396.73 .43 353.72 .42 311.85 .41 273.12 .37 239.08 .32 210.92 .24 .96 :!()(•>.:») .43 853.30 .43 311.44 .40 272.75 .86 288.76 .31 210.6H .25 .39 396.87 .43 352.87 .43 311.04 .41 272.39 .37 238.45 .31 210.43 .25 .40 395.44 .43 352.44 .43 310.63 .40 272.02 .36 238.14 .31 210.18 .25 .41 896.01 .43 352.01 .43 310.23 .41 271.66 .37 237.83 .31 209.93 .24 .42 39i..r>s .42 851.68 .42 309.82 .40 271.29 .36 237.52 .31 209^69 .25 .43 Hill Hi .43 851.16 .43 309.42 .41 270.93 .87 237.2 i .:ti •JO!). 1 1 .24 .44 393.7.'! .43 350.73 .43 809.01 .40 270.56 .36 236.90 .31 209.20 .25 .45 393.30 .43 :r>o.;t( .43 308.61 .40 270.20 .:((, 236.59 .31 208.95 . .24 .46 :i!iv>>- .«:« 849.87 .42 308.21 .40 269.84 .86 236.28 .30 208.71 .24 .47 :!!>-.! 1 t ,13 849.4E .48 807.81 .41 269.48 .37 235.98 .31 208.47 .25 .48 :m.01 .43 349.02 .42 :i07. K .40 '.'(lit. 11 .36 235.67 .30 208.22 .24 .49 .•i!H..->N .43 848.64 .43 807.(X .40 268.75 .36 235.31 .31 207.98 .24 .50 391.15 .43 848.11 .43 306.60 .40 268.81 .36 235.06 .30 207.74 .24 310 TABLE CX. ARGUMENT 1. Equation = 345".58 -f 186".51 cos x + 10". 17 cos 2* -f 0".63 cos 3x -f 0".04 cos 4s. Days. 12 13 14 IS 16 17 Days. Equation. Diff. Equation. Diff. Equation Diff. Equation. Diff. Equation Diff. Equation. Diff. d. it a . • ! .50 391.15 .43 348.17 .43 306.60 .40 268.39 .36 235.06 .30 207.74 .24 .51 390.72 .43 347.74 .42 306.20 .40 268.03 .36 234.76 .31 207.50 .24 .52 390.29 .43 347.32 .43 305.80 .40 267.67 .35 234.45 .30 207.26 .23 .53 389.86 .43 346.89 .42 305.40 .40 267.32 .36 234.15 .31 207.03 .24 .54 389.43 .43 346.47 .43 305.00 .40 266.96 .36 233.84 .30 206.79 .24 .55 389.00 .43 346.04 .43 301.60 .40 266.60 .36 233.54 .30 206.55 .23 .56 388.57 .43 345.61 .42 304.20 .40 266.2 1 .35 233.2 1 .30 206.32 .24 .57 388.14 .43 345.19 .43 303.80 .40 265.89 .36 2^2.9 1 .30 206.08 .23 .58 387.71 .43 344.76 .42 303.40 .40 265.53 .35 232.64 .30 205.85 .24 .59 387.28 .43 344.34 .43 303.00 .40 265.18 .36 232.34 .30 205.61 .23 • .60 386.85 .43 343.91 .42 302.60 .40 264.82 .35 232.04 .30 205.38 .23 .61 386.42 .43 343.49 .43 302.20 .40 264.47 .36 231.74 .30 205.15 .23 .62 385.99 .43 343.06 .42 301.80 .39 264.11 .35 231.44 .29 204.92 .24 .63 385.56 .43 342.64 .43 301.41 .40 263.76 .36 231.15 .30 204.68 .23 .64 385.13 .43 342.21 .42 301.01 .40 263.40 .35 230.85 .30 204.45 .23 .65 384.70 .43 341.79 .42 300.61 .39 263.05 .35 230.55 .29 204.22 .23 .66 384.27 .43 341.37 .43 300.22 .40 262.70 .35 230.26 .30 203.99 .23 .67 383.81 .43 340.94 .42 299.82 .39 262.35 .35 229.96 .29 203.76 .22 .68 383.41 .43 340.52 .43 299.43 .40 262.00 .35 229.67 .30 203.54 .23 .69 382.98 .43 340.09 .42 299.03 .39 261.65 .35 229.37 .29 203.31 .23 .70 382.55 .43 339.67 .42 298.64 .39 261.30 .35 229.08 .29 203.08 .22 .71 382.12 .43 339.25 .42 298.25 .40 260.95 .35 228.79 .29 202.86 .23 .72. 381.69 .44 338.83 .43 297.85 .39 260.60 .35 228.50 .29 202.63 .22 .73 381.25 .43 338.40 .42 297.46 .40 260.25 .35 228.21 .29 202.41 .23 .74 380.82 .43 337.98 .42 297.06 .39 259.90 .35 227.92 .29 202.18 .22 .75 380.39 .43 337.56 .42 296.67 .39 259.55 .35 227.63 .29 201.96 .22 .76 379.96 .43 337.14 .42 296.28 .39 259.20 .34 227.34 .29 201.74 .22 .77 379.53 .43 336.72 .43 295.89 .40 258.86 .35 227.05 .28 201.52 .23 .78 379.10 .43 336.29 .42 295.49 .39 258.5! .34 226.77 .29 201.29 .22 .79 378.67 .43 335.87 .42 295.10 .39 258.17 .35 226.48 .29 201.07 .22 .80 378.24 .43 335.45 .42 294.71 .39 257.82 .34 226.19 .29 200.85 .22 .81 377.81 .43 335.03 .42 294.32 .39 257.48 .34 226.90 .28 200.63 .22 .82 377.38 .44 334.61 .42 293.93 .39 257.14 .35 225.62 .29 200.41 .21 .83 376.94 .43 334.19 .42 293.54 .39 256.79 .34 225.33 .28 200.20 .22 .84 376.51 .43 333.77 .42 293.15 .39 256.45 .34 225.05 .29 199.98 .22 .85 376.08 .43 333.35 .42 292.76 .39 256.11 .34 224.76 .28 199.76 .21 .86 375.65 .43 332.93 .42 292.37 .39 255.77 .34 224.48 .28 199.55 .22 .87 375.22 .43 332.51 .42 291.98 .38 255.43 .35 224.20 .28 199.33 .21 .88 374.79 .43 332.09 .42 291.60 .39 255.08 .34 223.92 .28 199.12 .22 .89 374.36 .43 331.67 .42 291.21 .39 254.74 .34 223.64 .28 198.90 .21 .90 373.93 .43 331.25 .42 290.82 .39 254.40 .34 223.36 .28 198.69 .21 .91 373.50 .43 330.83 .42 290.43 .38 254.06 .34 223.08 .28 198.48 .21 .92 373.07 .44 330.41 .41 290.05 .39 253.72 .33 222.80 .28 198.27 .21 .93 372,63 .43 330.00 .42 289.66 .38 253.39 .34 222.52 .28 198.06 .21 .94 372.20 .43 329.58 .42 289.28 .39 253.05 .34 222.24 .28 197.85 .21 .95 371.77 .43 329.16 .42 288.89 .38 252.71 .33 221.96 .27 197.64 .21 .96 371.34 .43 328.74 .42 288.51 .39 252.38 .34 221.69 .28 197.43 .20 .97 370.91 .43 328.32 .41 288.12 .38 252.04 .33 221.41 .27 197.23 .21 .98 370.48 .43 327.91 .42 287.74 .39 251.71 .34 221.14 .28 197.02 .20 .99 370.05 .43 327.49 .42 287.35 .38 251.37 .33 220.86 .27 196.82 .21 1.00 369.62 .43 327.07 .42 286.97 .38 251.04 .33 220.59 .27 196.61 .20 311 TABLE CX. ARGUMENT 1. Equation = 345".58 -f 186".51 coa i -f- 10".17 cos 2x -f 0".63 cos 3z + 0".04 cos 4x. 18 19 30 31 Diff. 23 D»jfc Equation. Did. Equation. IiilT. Equation. I'll! Equation. Equation. Kill. d. .00 196.61 .20 179.77 .13 170.51 .05 169.03 .03 175.37 .10 .01 196.41 .21 179.64 .13 170.46 .05 169.06 .02 175.47 .11 .02 196.20 .20 179.51 .12 170.41 .06 169.08 .03 175.58 .10 .03 196.00 .21 179.39 .13 170.35 .05 169.11 .02 175.68 .11 .04 195.79 .20 179.26 .13 170.30 .05 169.13 .03 175.79 .10 .05 195.59 .20 179.13 .13 170.25 .05 169.16 .03 175.89 .11 .06 195.39 .20 179.00 .12 170.20 .05 169.19 .03 176.00 .11 .07 195.19 .20 178.88 .13 170.15 .04 169.22 .03 176.11 .10 .08 194.99 .20 178.75 .12 170. 1 1 .05 169.25 .03 176.21 .11 .09 194.79 .20 178.63 .13 170.06 .05 169.28 .03 176.32 .11 .10 194.59 .20 178.50 .12 170.01 .04 169.31 .03 176.43 .11 .11 194.39 .19 178.38 .12 169.97 .05 169.34 .04 176.54 .11 .12 194.20 .20 178.26 .13 169.92 .04 169.38 .03 176.65 .12 .13 194.00 .19 178.13 .12 169.88 .05 169.41 .04 176.77 .11 .14 193.81 .20 178.01 .12 169.83 .04 169.45 .03 176.88 .11 .15 193.61 .19 177.89 .12 169.79 .04 169.48 .04 176.99 .12 .16 193.42 .19 177.77 .12 169.75 .04 169.52 .04 177.11 .11 .17 193.23 .20 177.65 .11 169.71 .04 169.56 .03 177.22 .12 .18 193.03 .19 177.54 .12 169.67 .04 169.59 .04 177.34 .11 .19 192.84 .19 177.42 .12 169.63 .04 169.63 .04 177.45 .12 .20 192.65 .19 177.30 .11 169.59 .04 169.67 .04 177.57 .12 .21 192.46 .19 177.19 .11 169.55 .04 169.71 .04 177.69 .12 .22 192.27 .18 177.08 .12 169.51 .03 169.75 .05 177.81 .12 .23 192.09 .19 176.96 .11 169.48 .04 169.80 .04 177.93 .12 .24 191.90 .19 176.85 .11 169.44 .04 169.84 .04 178.05 .12 .25 191.71 .18 176.74 .11 169.40 .03 169.88 .05 178.17 .12 .26 191.53 .19 176.63 .11 169.37 .03 169.93 .04 178.29 .12 .27 191.34 .18 176.52 .11 169.34 .04 169.97 .05 178.41 .13 .28 191.16 .19 176.41 .11 169.30 .03 170.02 .04 178.54 .12 .29 190.97 .18 176.30 .11 169.27 .03 170.06 .05 178.66 .12 .30 190.79 .18 176.19 .11 169.24 .03 170.11 .05 178.78 .13 .31 190.61 .18 176.08 .11 169.21 .03 170.16 .05 178.91 .13 .32 190.43 .19 175.97 .10 169.18 .02 170.21 .05 179.04 .12 .33 190.24 .18 175.87 .11 169.16 .03 170.26 .05 179.16 .13 .34 190.06 .18 175.76 .11 169.13 .03 170.31 .05 179.29 .13 .35 189.88 .18 175.65 .10 169.10 .02 170.36 .05 179.42 .13 .36 189.70 .18 175.55 .10 169.08 .03 170.41 .()(> 179.55 .13 .37 189.52 .17 175.45 .11 169.05 .02 170.47 .05 17!UiS .13 .38 189.35 .18 175.31 .10 169.03 .03 170.52 .06 17!). HI .13 .39 189.17 .18 175.24 .10 169.00 .02 170.58 .05 179.91 .13 .40 INS. 'Ml .17 175.14 .10 168.98 .02 170.63 .06 180.07 .13 .41 188.82 .18 175.04 .10 168.96 . .17 174.46 .09 Kis.Nl .02 171.01 .07 181.02 .14 .48 1*7.61 .17 n i.:n .10 168.89 .01 171.11 .06 181.16 .14 .49 1H7.II .17 17431 .09 168.81 .02 171.17 .06 iNi.:(0 .14 .50 1*7. 27 .17 174. 1H .09 168.79 .01 171.23 .06 181.44 .14 312 TABLE CX. ARGUMENT 1. Equation = 845".58 -f- 186".51 cos * + 10".17 cos 2* -f 0".63 cos 3* -f 0 .04 cos 4x. 18 19 2O 21 22 Days. Equation. Diff Equation . Diff. Equation Diff. Equation Diff. Equation. Diff. il. .. t t H .50 187.27 .17 174.18 .09 168.79 .01 171.23 .06 181.44 .14 .51 187.10 .17 174.09 .09 168.78 .01 171.29 .07 181.58 .14 .52 186.93 .16 174.00 .10 168.77 .02 171.36 .06 181.72 .15 .53 186.77 .17 173.90 .09 168.75 .01 171.42 .07 181.87 .14 .54 186.60 .17 173.81 .09 168.74 .01 171.49 .06 182.01 .14 .55 186.43 .16 173.72 .09 168.73 .01 171.55 . .07 182.15 .15 .56 186.27 .16 173.63 .08 168.72 .01 171.62 .07 182.30 .14 .57 186.11 .17 173.55 .09 168.71 .01 171.69 .07 182.44 .15 .58 185.94 .16 173.46 .08 168.70 .01 171.76 .07 182.59 .14 .59 185.78 .16 173.38 .09 168.69 .01 171.83 .07 182.73 .15 .60 185.62 .16 173.29 .08 168.68 .01 171.90 .07 182.88 .15 .61 185.46 .16 173.21 .09 168.67 .00 171.97 .07 183.03 .15 .62 185.30 .16 173.12 .0? 168.67 .01 172.04 .08 183.18 .15 .63 185.14 .16 173.04 .09 168.66 .00 172.12 .07 183.33 .15 .64 184.98 .16 172.95 .08 168.66 .01 172.19 .07 183.48 .15 .65 184.82 .16 172.87 .08 168.65 .00 172.26 .08 183.63 .15 .66 184.66 .15 172.79 .08 168.65 .01 172.34 .08 183.78 .16 .67 184.51 .16 172.71 .07 168.64 .00 172.42 .07 183.94 .15 .68 184.35 .15 172.64 .08 168.64 .00 172.49 .08 184.09 .16 .69 184.20 .16 172.56 .08 168.64 .01 172.57 .08 184.25 .15 .70 184.04 .15 172.48 .08 168.65 .00 172.65 .08 184.40 .16 .71 183.89 .15 172.40 .07 168.65 .00 172.73 .08 184.56 .15 .72 183.74 .16 172.33 .08 168.65 .01 172.81 .09 184.71 .16 .73 183.58 .15 172.25 .07 168.66 .00 172.90 .08 184.87 .15 .74 183.43 .15 172.18 .08 168.66 .00 172.98 .08 185.02 .16 .75 183.28 .15 172.10 .07 168.66 .01 173.06 .08 185.18 .16 .76 183.13 .14 172.03 .07 168.67 .01 173.14 .09 185.34 .16 .77 182.99 .15 171.96 .08 168.68 .00 173.23 .08 185.50 .17 .78 182.84 .14 171.88 .07 168.68 .01 173.31 .09 185.67 .16 .79 182.70 .15 171.81 .07 168.69 .01 173.40 .08 185.83 .16 .80 182.55 .15 171.74 .07 168.70 .01 173.48 .09 185.99 .16 .81 182.40 .14 171.67 .07 168.71 .01 173.57 .09 186.15 .17 .82 182.26 .15 171.60 .06 168.72 .01 173.66 .09 186.32 .16 .83 182.11 .14 171.54 .07 168.73 .01 173.75 .09 186.48 .17 .84 181.97 .15 171.47 .07 168.74 .01 173.84 .09 186.65 .16 .85 181.82 .14 171.40 .06 168.75 .01 173.93 .09 186.81 .17 .86 181.68 .14 171.34 .06 168.76 .02 174.02 .09 186.98 .17 .87 181.54 .14 171.28 .07 168.78 .01 174.11 .10 187.15 .16 .88 181.40 .14 171.21 .06 168.79 .02 174.21 .09 187.31 .17 .89 181.26 .14 171.15 .06 168.81 .01 174.30 .09 187.48 .17 .90 181.12 .14 171.09 .06 168.82 .02 174.39 .10 187.65 .17 .91 180.98 .13 171.03 .06 168.84 .02 174.49 .09 187.82 .17 .92 180.85 .14 170.97 .06 168.86 .02 174.58 .10 18799 .18 .93 180.71 .13 170.91 .06 168.88 .02 174.68 .09 188.17 .17 .94 180.58 .14 170.85 .06 168.90 .02 174.77 .10 188.34 .17 .95 180.44 .13 170.79 .06 168.92 .02 174.87 .10 188.51 .18 .96 180.31 .14 170.73 .05 168.94 .02 174.97 .10 188.69 .17 .97 180.17 .13 170.68 .06 168.96 .03 175.07 .10 188.86 .18 .98 180.04 .14 170.62 .05 168.99 .02 175.17 .10 189.04 .17 .99 179.90 .13 170.57 .06 169.01 .02 175.27 .10 189.21 .18 1.00 179.77 .13 170.51 .05 169.03 .03 175.37 .10 189.39 .18 313 TABLE CX. ARGUMENT 1. Equation = 345".58 + 186".51 cos x + 10".17 cos 2x + 0".63 cos 3x -f- 0".04 cos 4x. \_ 93 24 23 26 27 Day.. Equation. Difl. Equation. Diff. Equation. Diff. Equation. Diff. Equation. Diff. d. .00 189.39 .18 210.74 .25 238.84 .31 272.85 .37 311.56 .41 .01 18P.57 .18 210.99 .25 239.15 .32 273.22 .36 311.97 .40 .02 189.75 .18 211.24 .25 239.47 .31 273.58 .37 312.37 .41 .03 189.93 .18 211.49 .25 239.78 .32 273.95 .36 812.78 .40 .04 190.11 .18 211.74 .25 210.10 .31 274.31 .37 313.18 .41 .05 190.29 .18 211.99 .25 240.41 .32 274.68 .37 313.59 .41 .06 190.47 .18 212.24 .26 240.73 .32 275.05 .37 314.00 .41 .07 190.65 .19 212.50 .25 241.05 .31 275.42 .37 314.41 .40 .08 190.84 .18 212.75 .26 241.36 .32 275.79 .37 314.81 .41 .09 191.02 .18 213.01 .25 241.68 .32 276.16 .37 315.22 .41 .10 191.20 .19 213.26 .26 242.00 .32 276.53 .37 315.63 .41 .11 191.39 .19 213.52 .25 242.32 .32 276.90 .37 316.04 .41 .12 191.58 .18 213.77 .26 242.64 .81 277.27 .38 316.45 .41 .13 191.76 .19 214.03 .25 242.95 .32 277.65 .37 316.86 .41 .14 191.95 .19 214.28 .26 243.27 .32 278.02 .37 317.27 .41 .15 192.14 .19 214.54 .26 243.59 .32 278.39 .37 317.68 .41 .16 192.33 .19 214.80 .26 243.91 .33 278.76 .38 318.09 .41 .17 192.52 .19 215.06 .26 244.24 .32 279.14 .37 318.50 .41 .18 192.71 .19 215.32 .26 244.56 .33 279.51 .38 318.91 .41 .19 192.90 .19 215.58 .26 244.89 .32 279.89 .37 319.32 .41 .20 193.09 .19 215.84 .26 245.21 .32 280.26 .38 319.73 .41 .21 193.28 .20 216.10 .27 245.53 .33 280.64 .37 320.14 .42 .22 193.48 .19 216.37 .26 245.86 .32 281.01 .38 320.56 .41 .23 193.67 .20 216.63 .27 246.18 .33 281.39 .37 320.97 .42 .24 193.87 .19 216.90 .26 246.51 .32 281.76 .38 321.39 .41 .25 194.06 .20 217.16 .27 246.83 .33 282.14 .38 321.80 .41 .26 194.26 .20 217.43 .27 247.16 .33 282.52 .38 322.21 .42 .27 194.46 .19 217.70 .26 247.49 .32 282.90 .37 322.63 .41 .28 194.65 .20 217.96 .27 247.81 .33 283.27 .38 323.04 .42 .29 194.85 .20 218.23 .27 248.14 .33 283.65 .38 323.46 .41 .30 195.05 .20 218.50 .27 248.47 .33 284.03 .38 323.87 .41 .31 195.25 .20 218.77 .27 248.80 .33 284.41 .38 324.28 .42 .32 195.45 20 219.04 .27 249.13 M 284.79 .:(N 324.70 .41 M 196.66 .20 219.31 .27 249.47 .33 285.17 .38 325.11 .42 .34 195.85 .20 219.58 .27 249.80 .33 285.55 .38 325.53 .41 M 196.05 .21 219.85 .27 250.13 .33 285.93 .38 325.94 .42 .36 196.26 .20 220.12 .27 250.46 .:ti 286.31 .39 326.36 .41 .37 196.46 .21 220.39 .28 250.80 .33 286.70 .38 326.77 .42 .38 186.67 .20 220.67 .27 251.13 .34 287.08 .39 327.19 .41 .39 196.87 .21 220.94 .27 251.47 m 287.47 .38 327.60 .42 .40 197.08 .21 221.21 .28 251.80 .34 287.85 .38 328.02 .42 .41 197.29 .21 221.49 as 252.14 .33 288.23 .39 328.44 .42 .42 197.50 .20 22 1 .77 .27 252.47 .34 288.62 .38 32886 .41 M 197.70 .21 222.01 .28 252.81 .33 289.00 .39 329.27 .42 .44 197.91 .21 222.32 .28 253.14 .34 289.39 .38 329.69 .42 .45 198. 12 .21 222.60 .28 253.48 .34 289.77 .39 330.11 .42 .46 I!)*.:):* .21 822.88 .28 268.82 .34 290.16 .38 880.68 .42 .47 liis.r.i .22 228.16 £8 251. Hi .33 290.54 J9 330.95 .41 .48 1II-.76 .21 223. 1 1 .28 254.49 .:u 290.93 .38 331.36 .42 .49 198.li' .21 228.72 .28 254.83 M 291.31 .39 331.78 .42 .50 199. IN .22 224.00 .28 255.17 .34 291.70 .39 88BJM .42 314 TABLE CX. ARGUMENT 1. Equation = 345".58 -f- 186".51 cos x -f- 10". 17 cos 2x -f 0".63 cos 3z + 0".04 cos 23 24 Equation. Dirt. 23 26 Diff. 27 Diff Days. Equation. Biff Equation. Diff. Equation. Equation. d, .50 199.18 .22 224.00 .28 255.17 .34 291.70 .39 332.20 .42 .51 199.40 .21 224.28 .28 255.51 .34 292.09 .39 332.62 .42 .52 . 199.61 .22 224.56 .29 255.85 .35 292.48 .39 333.04 .42 .53 199.83 .21 224.85 .28 256.20 .34 292.87 .39 333.46 .42 .54 200.04 .22 225.13 .28 256.54 .34 293.26 .39 333.88 .42 .55 200.26 .22 22541 .29 256.88 .35 293.65 .39 334.30 .42 .56 200.48 .22 225.70 .28 257.23 .34 294,04 .39 334.72 .42 .57 200.70 .21 225.98 .29 257.57 .35 294.43 .39 335.14 .43 .58 200.91 .22 226.27 .28 257.92 .34 294.82 .39 335.57 .42 .59 201.13 .22 226.55 .29 258.26 .35 295.21 .39 335.99 .42 .60 201.35 .22 226.84 .29 258.61 .35 295.60 .39 336.41 .42 .61 201.57 .22 227.13 .29 258.96 .34 295.99 .39 336.83 .42 .62 201.79 .23 227.42 .29 259.30 .35 296.38 .40 337.25 .43 .63 202.02 .22 227.71 .29 259.65 .34 296.78 .39 337.68 .42 .64 202.24 .22 228.00 .29 259.99 .35 297.17 .39 338.10 .42 .65 ?r>2.46 .23 228.29 .29 260.34 .35 297.56 .39 338.52 .42 .66 202.69 .22 228.58 .29 260.69 .35 297.95 .40 338.94 .42 .67 202.91 .23 228.87 .30 261.04 .35 298.35 .39 339.36 .43 .68 203.14 .22 229.17 .29 261.39 .35 298.74 .40 339.79 .42 .69 203.36 .23 229.46 .29 261.74 .35 299.14 .39 340.21 .42 .70 203.59 .23 229.75 .30 262.09 .35 299.53 .40 340.63 .42 .71 203.82 .23 230.05 .29 262.44 .35 299.93 .40 341.05 .43 .72 204.05 .23 230.34 .30 262.79 .36 300.33 .39 341.48 .42 .73 204.28 .23 230.64 .29 263.15 .35 300.72 .40 341.90 .43 .74 204.51 .23 230.93 .30 263.50 .35 301.12 .40 342.33 .42 .75 204.74 .23 231.23 .30 263.85 .36 301.52 .40 342.75 .42 .76 204.97 .24 231.53 .30 26421 .35 301.92 .40 343.17 .43 .77 205.21 .23 231.83 .29 264.56 .36 302.32 .39 343.60 .42 .78 205.44 .24 232.12 .30 264.92 .35 302.71 .40 344.02 .43 .79 205.68 .23 232.42 .30 265.27 .36 303. 1 1 .40 344.45 .42 .80 205.91 .24 232.72 .30 265.63 .36 303.51 .40 344.87 .43 .81 206.15 .23 233.02 .30 265.99 .35 303.91 .40 345.30 .42 .82 206.38 24 233.32 .31 266.34 .36 304.31 .40 345.72 .43 .83 206.62 .23 233.63 .30 266.70 .35 304.71 .40 346.15 .42 .84 206.85 .24 233.93 .30 267.05 .36 305. 1 1 .40 346.57 .43 .85 207.09 .24 234.23 .30 267.41 .36 305.51 .40 347.00 .43 .86 207.33 .24 234.53 .31 267.77 .36 305.91 .40 347.43 .42 .87 207.57 .24 231.84 .30 268.13 .36 306.31 .41 347.85 .43 .88 207.81 .24 235.14 .31 268.49 .36 306.72 .40 348.28 .42 .89 208.05 .24 235.45 .30 268.85 .36 307.12 .40 348.70 .43 .90 208.29 .24 235.75 .31 269.21 .36 307.52 .40 349.13 .43 .91 208.53 .25 236.06 .31 269.57 .36 307.92 .40 349.56 .43 .92 208.78 .24 236.37 .30 269.93 .37 308.32 .41 34999 .42 .93 209.02 .25 236.67 .31 270.30 .36 308.73 .40 350.41 .43 .94 209.27 .24 236.98 .31 270.66 .36 309.13 .40 350.84 .43 .95 209.51 .25 237.29 .31 • 271.02 .37 309.53 .41 351.27 .43 .96 209.76 .24 237.60 .31 271.39 .36 309.94 .40 351.70 .43 .97 210.00 .25 237.91 .31 271.75 .37 310.34 .41 352.13 .42 .98 210.25 .24 238.22 .31 272.12 .36 310.75 .40 352.55 .43 .99 210.49 .25 238.53 .31 272.48 .37 311.15 .41 352.98 .43 1.00 210.74 .25 238.84 .31 272.85 .37 311.56 .41 35341 .43 315 TABLE CXI. ARGUMENT 3. Equation = 29".44 — 0".95 cos t + 28".23 cos 2t + 0 '.26 cos 4t. Days 0 1 3 3 4 S 6 7 8 9 Days. Ikus. DavB. .00 58.73 5733 50.97 40.89 28.95 17.33 8.01 2.53 l'.75 5*78 i.bo .01 58.74 57.29 50.89 40.78 28.83 17.22 7.93 2.50 1.77 5.84 .99 .02 58.75 57.25 50.80 40.66 28.71 17.11 7.86 2.47 1.79 5.91 .98 .03 58.77 57.20 50.72 40.55 28.58 17.01 7.78 2.43 1.80 5.97 .97 .04 58.78 57.16 50.63 40.43 28.46 16.90 7.71 2.40 1.82 6.04 .96 .05 58.79 5712 50.55 40.32 28.34 16.79 7.63 2.37 1.84 6.10 .95 .06 58.80 57.08 50.46 40.20 28.22 16.68 7.56 2.34 1.86 6.17 .94 .07 58.81 5703 50.37 40.09 28.10 16.58 7.49 2.31 1.88 6.23 .93 .08 58.81 56.99 50.29 39.97 27.98 16.47 7.41 2.29 1.90 6.30 .92 .09 58.82 56.94 50.20 39.86 27.86 16.37 7.34 2.26 1.92 6.36 .91 .10 58.83 56.90 50.11 39.74 27.74 16.26 7.27 2.23 1.94 6.43 .90 .11 58.84 56.85 50.02 3962 27.62 16.16 7.20 220 1.96 6.50 .89 .12 58.84 56.81 49.93 39.51 27.50 16.05 7.13 2.18 1.99 6.57 .88 .13 58.85 5676 49.84 39.39 27.37 15.95 7.05 2.15 2.01 6.63 .87 .14 58.85 56.72 49.75 39.28 27.25 15.84 6.98 2.13 2.04 6.70 .86 .15 58.86 56.67 49.66 39.16 27.13 15.74 6.91 2.10 2.06 6.77 .85 .16 58.86 56.62 49.57 39.04 27.01 15.64 6.84 2.08 2.08 6.84 .84 .17 58.87 5657 49.48 38.93 26.89 15.53 6.77 2.05 2.11 6.91 .83 .18 58.87 56.53 49.38 38.81 26.77 15.43 6.71 2.03 2.13 6.98 .82 .19 58.88 56.48 49.29 3870 26.65 15.32 6.64 2.00 2.16 7.05 .81 .20 58.88 56.43 49.20 38.58 26.53 15.22 6.57 1.98 2.18 7.12 .80 .21 58.88 56.38 49.11 38.46 26.41 15.12 6.50 1.96 2.21 7.19 .79 .22 58.88 56.33 49.02 38.34 26.29 15.02 6.43 1.94 2.24 7.26 .78 .23 58.88 56.27 48.92 38.23 26 17 14.91 6.37 1.92 2.26 7.34 .77 .24 58.88 56.22 48.83 38.11 26.05 14.81 6.30 1.90 2.29 7.41 .76 .25 58.88 56.17 48.74 37.99 25.93 14.71 6.23 1.88 2.32 7.48 .75 .26 58.88 56.12 48.64 37.87 25.81 14.61 6.17 1.86 2.35 7.55 .74 .27 58.88 56.06 48.55 37.75 25.69 14.51 6.10 1.84 2.38 7.63 .73 .28 58.87 56.01 48.45 37.64 25.57 14.41 6.04 1.82 2.41 7.70 .72 .29 58.87 55.95 48.36 37.52 25.45 14.31 5.97 1.80 2.44 7.78 .71 .30 58.87 55.90 48.26 37.40 25.33 14.21 5.91 1.78 2.47 7.85 .70 .31 58.87 55.84 48.16 37.28 25.21 14.11 5.85 1.76 2.50 7.93 .69 .32 58.86 55.79 48.07 37.16 25.09 14.01 5.78 1.75 2.53 8.00 .68 .33 56.86 55.73 47.97 37.05 24.97 13.91 5.72 1.73 2.57 8.08 .67 .34 58.85 55.68 47.88 36.93 24.85 13.81 5.65 1.72 2.60 8.15 .66 .35 58.85 55.62 47.78 36.81 24.73 13.71 5.59 1.70 2.63 8.23 .65 .36 58.84 55.56 47.68 36.69 24.61 13.61 5.53 1.69 2.67 8.31 .64 .37 r.8.N:l 55.50 47.58 36.57 24.50 13.51 5.47 1.67 2.70 8.38 .63 .38 5N.H3 55.45 47.49 36.45 24.38 13.42 5.41 1.66 2.74 8.46 .62 .39 5N.N-.2 55.39 47.39 3633 24.27 13.32 5.35 1.64 2.77 8.53 .61 .40 58.81 55.33 47.29 36.21 24.15 13.22 5.29 .63 2.81 8.61 .60 .41 r.s.NO 55.27 47.19 36.08 2403 13.12 5.23 .62 2.85 8.69 .59 .42 B8.79 55.21 47.09 35.97 23.91 13.03 5.17 .61 2.88 8.77 .58 .43 58.78 55.15 46.99 35.86 28.80 12.93 5.12 .59 2.92 8.85 .57 .44 58.77 55.09 46.89 35.74 23.68 12.84 5.06 .58 2.95 8.93 .56 .45 58.76 55.03 46.79 35.62 23.56 12.74 5.00 .57 2.99 9.01 .55 .46 B8.75 54.97 46.69 :{.->..-)() 28.41 12.65 4.94 .56 3.03 9.09 .54 .47 68.78 MJO 46.59 86.86 23.32 12.55 1.S1I .r>r> 3.07 9.17 .53 .48 5N.72 r-i si 46.49 86S6 23.21 1246 4.83 .55 3.11 9.26 .52 .49 58.70 5 1.77 46.39 35.14 23.09 12.36 4.78 ..-.i 3.15 9.34 .51 .;>o 58.69 54.71 46.29 35.02 22.97 12.27 4.72 .53 :!.!!» !l. 12 .50 Day ». 39 38 37 36 3« 34 33 33 31 30 Days. 316 TABLE CXI. ARGUMENT 3. Equation = 29".44 — 0".95 cos t -f 28".23 cos 2t -f- 0 '.26 cos 4t. Days. Ol 33456 7§9 Days. Days. fl M fl „ „ lt t M // Days. .50 58.69 5471 46.29 35.02 22.97 12.27 4.72 1.53 3.19 9.42 .50 .51 58.67 54.65 46.19 34.90 22.85 12.18 4.67 1.52 3.23 9.50 .49 .52 58.66 54.58 46.09 34.78 22.73 12.08 4.61 1.52 3.27 9.58 .48 .53 58.64 54.52 45.98 34.65 22.62 11.99 4.56 1.51 3.32 9.67 .47 .54 58.63 54.45 45.88 34.53 22.50 11.89 4.50 1.51 3.36 9.75 .46 .55 58.61 5439 45.78 34.41 22.38 11.80 4.45 1.50 3.40 9.83 .45 .56 58.59 54.32 45.68 34.29 22.26 11.71 4.40 1.50 3.44 9.92 .44 .57 58.57 5425 45.57 34 17 22.15 11.62 4.35 1.49 3.49 10.00 .43 .58 58.56 51.19 45.47 34.05 22.03 11.53 4.29 1.49 3.53 10.09 .42 .59 58.5 1 54.12 45.36 33.93 21.92 11.44 4.24 1.48 3.58 10.17 .41 .60 58.52 54.05 45.26 33.81 21.80 11.35 4.19 1.48 3.62 10.26 .40 .61 58.50 53.98 45.15 3369 21.69 11.26 4.14 148 3.67 10.35 .39 .62 58.48 53.91 1 45.05 33.57 21.57 11.17 4.09 1.48 3.71 10.43 .38 .63 58.46 5384 44.94 33.44 2146 11.08 4.04 1.47 3.76 10.52 .37 .64 58.44 53.77 44.84 33.32 21.34 10.99 3.99 1.47 3.80 10.60 .36 .65 58.42 53.70 44.73 33.20 21.23 10.90 3.94 1.47 3.85 10.69 .35 .66 58.40 53.63 44.62 33.08 21.12 10.81 3.89 1.47 3.90 10.78 .34 .67 58.37 5356 44.52 32.96 21.00 10.72 3.84 1.47 3.95 10.87 .33 .68 58.35 53.48 44.41 32.84 20.89 10.64 3.80 1.47 3.99 10.95 .32 .69 58.32 53.41 44.31 3272 20.77 10.55 3.75 1.47 4.04 11.04 .31 .70 58.30 53.34 44.20 32.60 20.66 10.46 3.70 1.47 4.09 11.13 .30 .71 58.27 53.27 44.09 32.48 20.55 10.37 3.65 1.47 4.14 11.22 .29 .72 58.25 53.19 43.98 32.36 20.43 10.29 3.61 1.48 4.19 11.31 .28 .73 58.22 53.12 43.88 32.23 20.32 10.20 3.57 1.48 4.25 11.40 .27 .74 58.20 53.04 43.77 32.11 20.20 10.12 3.52 1.49 4.30 11.49 .26 .75 58.17 52.97 43.66 31.99 20.09 10.03 3.48 1.49 4.35 11.58 .25 .76 58.14 52.89 43.55 31.87 19.98 P.95 344 1.50 4.40 11.67 .24 .77 58.11 52.82 43.41 31.75 19.87 986 3.3!; 150 4.45 11.76 .23 .78 58.09 52.74 43.34 31.62 19.75 9.78 335 1.51 4.51 11.86 .22 .79 58.06 52.67 43.23 31.50 1964 9.69 3.30 1.51 4.56 11.95 .21 .80 58.03 52.59 43.12 31.38 19.53 9.61 3.26 1.52 4.61 12.04 .20 .81 58.00 52.51 43.01 31.26 19.42 9.53 3.22 1.53 4.67 12.13 .19 .82 57.97 52.43 4290 31.14 19.31 9.44 3 18 1.54 4.72 12.22 .18 .83 57.93 52.36 42.79 31.02 19.19 9.3S 3.14 1.54 4.78 12.32 .17 .84 57.90 52.28 42.68 30.90 19.08 9.27 3.10 1.55 4.83 12.41 .16 .85 57.87 52.20 42.57 30.78 18.97 9.19 3.06 1.56 4.89 12.50 .15 .86 57.84 52.12 42.46 30.66 18.86 9.11 3.02 1.57 4.95 12.59 .14 .87 57.80 52.04 42.35 30.54 18.75 9.03 2.98 1.58 5.00 12,69 .13 .88 57.77 51.96 42.23 30.41 18.64 8.95 2.95 1.59 5.06 12.78 .12 .89 57.73 51.88 42.12 3029 18.53 8.87 2.91 1.60 5.11 12.88 .11 .90 57.70 51.80 42.01 30.17 18.42 8.79 2.87 1.61 5.17 12.97 .10 .91 57.66 51.72 41.90 30.05 18.31 8.71 2.84 1.62 5.23 13.07 .09 .92 57.63 51.64 41.79 29.93 18.20 8.63 2.80 1.63 5.29 13.16 .08 .93 57.59 51.55 41.67 29.80 1809 8.55 2.77 1.65 5.35 13.26 .07 .94 57.56 51.47 41.56 29.68 17.98 8.47 2.73 1.66 5.41 13.35 .06 .95 57.52 51.39 41.45 29.56 17.87 8.39 2.70 1.67 5.47 13.45 .05 .96 57.48 51.31 41.34 29.44 17.76 8.31 2.67 1.69 5.53 13.55 .04 .97 57.14 51.22 41.23 29.32 17.65 8.24 2.63 1 .70 5.59 13.65 .03 .98 57.41 51.14 41.11 29.19 17.55 8.16 2.60 1.72 5.66 13.74 .02 .99 57.37 51.05 41.00 29.07 17.44 8.09 2.56 1.73 5.72 13.84 .01 1.00 57.33 50.97 40.89 28.95 17.33 8.00 2.53 1.75 5.78 13.94 .00 Days. 29 38 27 26 25 24 23 22 21 2O Days. 317 TABLES CXI. CXII. TABLES ARGUMENTS CXI. 3. CXII. 9. Days. 1O 11 13 13 14 Days. Days. O 1O .00 13.94 24.87 36.65 47.15 54.39 Dais. 1.00 Days. Equation. D.a. Kijuation. Diff. .01 14.04 24.99 36.76 47.24 5 1. 1 1 .99 Kais w .02 14.14 25.10 36.88 47.33 54.49 .98 6.0 33.66 .68 66.71 .27 .03 14.24 25.22 36.99 47.42 54.54 .97 0.1 34.34 .68 66.41 .28 .04 14.34 25.33 37.11 47.51 54.59 .96 0.2 35.02 .68 66.16 .30 0.3 35.70 .67 65.86 .31 .05 14.44 25.45 37.22 47.60 54.64 .95 0.4 36.37 .68 65.55 .32 .06 14.54 25.57 37.33 47.69 54.69 .94 .07 14.64 25.69 37.45 47.78 54.74 .93 0.5 37.05 .68 65.23 .33 .08 14.74 25.80 37.56 47.86 54.78 .92 0.6 37.73 .67 64.90 .35 .09 14.84 25.92 37.68 47.95 54.83 .91 0.7 38.40 .68 64.55 .35 0.8 39.08 .68 64.20 .37 .10 14.94 26.04 37.79 48.04 54.88 .90 0.9 39.76 -67 63.83 .39 .11 15.04 26.16 37.90 48.13 54.92 .89 .12 15.14 26.28 38.02 48.22 54.97 .88 1.0 40.43 .67 63.4 1 .39 .13 15.25 26.39 38.13 48.30 55.01 .87 1.1 41.10 .67 63.05 .40 .14 15.35 26.51 38.25 48.39 55.06 .86 1.2 41.77 .66 62.65 .41 1.3 42.43 67 62.24 .43 .15 15.45 26.63 38.36 48.48 55.10 .85 1.4 43.10 .66 61.81 .44 .16 15.55 26.75 38.47 48.57 55.14 .84 .17 15.65 26.87 38.58 48.65 55.18 .83 1.5 43.76 .66 61.37 .44 .18 15.76 26-98 38.70 48.74 55.23 .82 1.6 44.42 .65 60.93 .46 .19 15.86 27.10 38.81 48.82 55.27 .81 1.7 45.07 .65 60.4-3 .47 1.8 45.72 .65 60.00 .47 .20 15.96 27.22 38.92 48.91 55.31 .80 1.9 , 46.37 .64 59.53 .49 .21 16.06 27.34 39.03 48.99 55.35 .79 .22 16.17 27.46 39.14 49.08 55.39 .78 2.0 47.01 .64 59.04 .50 .23 16.27 27.57 39.26 49.16 55.43 .77 2.1 47.65 .63 58.54 .50 .24 16.38 27.69 39.37 49.25 55.47 .76 2.2 48.28 .63 58.04 .52 2.3 48.91 .62 57.52 .52 .25 16.48 27.81 39.48 49.33 55.51 .75 2.4 49.53 .62 57.00 .53 .26 16.59 27.93 39.59 49.41 55.55 .74 .27 16.69 28.05 39.70 49.49 55.59 .73 2.5 50.15 .61 56.47 .54 .28 16.80 28.16 39.81 49.58 55.62 .72 2.6 50.76 .60 55.93 .55 .29 16.90 28.28 39.92 49.66 55.66 .71 2.7 51.36 .60 55.38 .56 2.8 51.96 .60 5 1.S2 .56 .30 17.01 28.40 40.03 49.74 55.70 .70 2.9 52.56 .58 5 1.26 .57 .31 17.12 28.52 40.14 49.82 55.74 .69 .32 17.22 28.64 40.25 49.90 55.77 .68 3.0 53.14 .58 53.69 .58 M 17.33 28.76 40.36 49.98 55.81 .67 3.1 53.72 .57 5.'}. 1 1 .59 .34 17.43 28.88 40.47 50.06 55.84 .66 3.2 54.29 .57 52.52 .59 3.3 54.86 .55 51.93 .60 .35 17.54 29.00 40.58 50.14 55.88 .65 3.4 55.41 .55 51.33 .61 .36 17.65 29.12 40.69 50.22 55.91 .64 .37 17.76 29.24 40.80 50.30 55.94 .63 3.5 55.96 .54 50.72 .61 .38 17.86 29.35 40.90 50.37 55.98 .62 3.6 56.50 .53 50. 1 1 .62 .39 17.97 29.47 41.01 50.45 56.01 .61 3.7 57.03 .52 49.49 .62 • 3.N 57.55 .52 •18.87 .63 .40 18.08 29.59 41.12 50.53 56.04 .60 3.9 58.07 .50 48.24 .63 .41 18.1!) 29.71 41.23 50.61 56.07 .59 .42 18.30 29.83 41.34 50.68 56.10 .58 4.0 58.57 .50 47.61 .64 .43 18.40 29.95 41.44 50.7< 56.13 .57 4.1 59.07 .48 46.97 .64 .11 1 *..-,! 30.07 41.55 50.83 56.16 .56 4.2 59.58 .48 46.33 .66 4.3 (iO.()3 .47 45.68 .65 .45 18.62 30.19 11. <;< 50.91 56.19 .55 4.4 60.50 .45 45.03 .65 .46 |s.-:t ;{<).:{ 1 41.77 50.98 5(i.22 .54 .47 Is s| 80.49 4I.N7 5 1 .Of 5fi.2 t .53 4.5 6o.se .45 44.3? .66 .48 18.9! :t().:, i 41.90 5L18 56.2< .52 4.6 lil.N .43 13.72 .66 .19 19.01 90M 12.0s 51.21 56.21 .51 1.7 81.88 .43 43.06 .67 .50 19.17 30.78 12. 1! 51.2* 56.32 .50 4.8 62.26 .41 48.8J .66 4.9 62.67 .41 41.73 .67 Days. 19 18 ir 16 IS Days. 5.0 63.08 .39 41.06 .67 318 TABLES CXI. CXII. TABLES ARGUMENTS CXI. 3. CXII. Days. 1O 111-3 13 14 Days. Days. O 1O Days. Days. .50 fL I 19.17 1 Q *>G 30.78 on on 42.19 A O *if\ 51.28 EI or^ 56.32 e /; oe .50 An Days. Equation. D:ff. Equation. Diff. .01 jy.4o oU.yu 42. ou 51.OO Ob. .io .4y Days. ( .. .52 19.39 31.02 42.40 51.42 56.37 .48 5.0 63.08 .39 41.06 .67 .53 19.50 31.13 42.51 51.50 56.40 .47 5.1 63.47 .38 40.39 .68 .54 19.61 31.25 42.61 51.57 56.42 .46 5.2 63.85 .37 39.71 .67 5.3 64.22 .35 39.04 .68 .55 19.72 31.37 42.72 51.64 56.45 .45 5.4 64.57 .35 38.36 .67 .56 19.83 31.49 42.82 51.71 56.47 .44 .57 19.94 31.61 42.93 51.78 56.49 .43 5.5 64.92 .33 37.69 .68 .58 20.05 31.73 43.03 51.85 56.52 .42 5.6 • 65.25 .32 37.01 .68 .59 20.16 31.85 43.14 51.92 56.54 .41 5.7 65.57 .31 36.33 .67 5.8 65.88 .30 35.66 .68 .60 20.27 31.97 43.24 51.99 56.56 .40 5.9 66.18 .28 34.98 .68 .61 20.38 32.09 43.34 52.06 56.58 .39 .62 20.50 32.21 43.44 52.13 56.60 .38 6.0 66.46 .27 34.30 .68 .63 20.61 32.32 43.55 52.19 56.62 .37 6.1 66.73 .27 33.62 .67 .64 20.73 32.44 43.65 52.26 56.64 .36 6.2 67.00 .23 32.95 .68 6.3 67.23 23 32.27 .67 .65 20.84 32.56 43.75 52.33 56.66 .35 6.4 67.46 .22 31.60 .68 .66 20.95 32.68 43.85 52.40 56.68 .34 .67 21.06 32.80 43.95 52.46 56.69 .33 6.5 67.68 .21 30.92 .67 .68 21.18 32.91 44.06 52.53 56.71 .32 6.6 67.89 .19 30.25 .66 .69 21.29 33.03 44.16 52.59 56.72 .31 6.7 68.08 .18 29.59 .67 6.8 68.26 .16 28.92 .66 .70 21.40 33.15 44.26 52.66 56.74 .30 6.9 68.42 .16 28.26 .66 .71 21.51 33.27 44.36 52.72 56.75 .29 .72 21.63 33.39 44.46 52.79 56.77 .28 7.0 68.58 .14 27.60 .66 .73 21.74 33.50 44.56 52.85 56.78 .27 7.1 68.72 .12 26.94 .65 .74 21.86 33.62 44.66 52.92 56.80 .26 7.2 68.84 .11 26.29 .66 7.3 68.95 .10 25.63 .64 .75 21.97 33.74 44.76 52.98 56.81 .25 7.4 69.05 .08 24.99 .64 .76 22.09 33.86 44.86 53.04 56.82 .24 .77 22.20 33.97 41.96 53.10 56.83 .23 7.5 69.13 .07 24.35 .64 .78 22.32 34.09 45.05 53.16 56.85 .22 7.6 69.20 .06 23.71 .63 .79 22,43 34.20 45.15 53.22 56.86 .21 7.7 69.26 .04 23.08 .63 7.8 69.30 .03 22.45 .62 .80 22.55 34.32 45.25 53.28 56.87 .20 7.9 69.33 .01 21.83 .62 .81 22.66 34.44 45.35 53.34 56.88 .19 .82 22.78 34.56 45.45 53.40 56.89 .18 8.0 6°31 .00 21.21 .61 .83 22.89 34.67 45.54 55.46 5S.90 .17 8.1 69.;!4 .02 20.60 .61 .84 23.01 34.79 45.64 53.52 56.91 .16 8.2 69.32 .03 19.99 .60 8.3 69.29 .04 19.39 .59 .85 23.12 34.91 45.74 53.58 56.92 .15 8.4 69.25 .05 18.80 .59 .86 23.24 35.03 45.84 53.64 56.93 .14 .87 23.35 35.14 45.93 53.69 56.93 .13 8.5 69.20 .08 18.21 .58 .88 23.47 35.26 46.03 53.75 /56.94 .12 8.6 69.12 .08 17.63 .58 .89 23.58 35.37 46.12 53.80 56.94 .11 8.7 69.04 .10 17.05 .56 8.8 68.94 .11 16.49 .56 .90 23.70 35.49 46.22 53.86 56.95 .10 8.9 68.83 .12 15.93 .55 .91 23.82 35.61 46.31 53.91 56.95 .09 .92 23.93 35.72 46.41 53.97 56.96 .08 9.0 68.71 .14 15.38 .55 .93 24.05 35.84 46.50 54.02 56.96 .07 9.1 68.57 .15 14.83 .53 .94 24.16 35.95 46.60 54.08 56.97 .06 9.2 68.42 .17 14.30 .53 9.3 68\25 .18 13.77 .52 .95 24.28 36.07 46.69 54.13 56.97 .05 9.4 68.07 .19 13.25 .52 .96 24.40 36.19 46.78 54.18 56.97 .04 * .97 24.52 36.30 46.87 54.23 56.97 .03 9.5 67.88 .21 12.73 .50 .98 24.63 36.42 46.97 54.29 56.98 .02 9.6 67.67 .22 12.23 .49 .99 24.75 36.53 47.06 54.34 56.98 .01 9.7 67.45 .23 11.74 .49 1.00 24.87 36.65 47.15 54.39 56.98 .00 ' 9.8 67.22 .25 11.25 .48 9.9 66.97 .26 10.77 .46 Days. 19 18 IT 16 15 Days. 10.0 66.71 .27 10.31 .46 319 TABLES CXII.-CXV. TABLES ARGUMENTS CXII. 2. CXIII. 6. CXIV. r. cxv. 8. Days 9 O 3 0 Days O 10 30 30 O O 1O Days. Equation. D;er. Equation. Diff. 0.0 1.30 2.89 0.94 0.25 2.70 f.68 6.52 Days 0.0 0.1 0.2 0.3 10.31 9.85 9.40 8.96 .46 .45 .44 .42 21.79 •2-2. 1 1 23.04 23.67 .62 .63 .63 .64 0.1 0.2 0.3 0.4 1.33 1.35 1.38 1.40 2.88 2.88 2.87 2.87 0.9-2 0.89 O.H7 0.84 0.27 0.28 0.30 0.31 2.91 3.11 3-31 3.51 1.76 1.81 1.91 1.99 0.47 0,1-2 0.38 0.33 0.4 8-54 .42 24.31 .64 0.5 1.43 2.86 0.82 0.33 3.71 2.07 0.28 0.5 8.12 .41 21.95 .65 0.6 1.46 2.85 O.HO 0.35 3.90 2.15 0.24 0.6 0.7 7.71 7.31 .40 .38 25.60 26.25 .65 .65 0.7 0.8 1.48 1.51 2.85 2.84 0.77 0.75 0.36 0.38 4.09 4.28 ' 2.23 •2.30 0.21 0.17 08 6.93 .38 26.90 .66 0.9 1.53 2.84 0.72 0.39 4.47 2.38 0.14 0.9 6.55 .36 27.56 .66 1.0 1.56 2.83 0.70 0.41 4.65 2.46 0.11 .0 6.19 .36 28.22 .66 1.1 1.69 2.82 0.68 0.43 4.82 2.53 0.09 .1 5.83 .34 28.88 .67 1.2 1.61 2.81 0.66 0.45 4.98 2.61 0.07 .2 5.49 .33 29.55 .67 1.3 1.64 2.81 0.64 0.47 5.14 2.68 0-05 .3 5.16 .32 30.22 .67 1.4 1.66 •2.M) 0.62 0.49 5.28 2.75 0.03 .4 4.84 .31 30.89 .67 .5 1.69 2.79 0.60 0.51 5.42 2.82 0.02 .5 4.53 .30 31.56 .67 .6 1.72 • 2.78 0.58 0.53 5.55 2.89 0.01 .6 4.23 .29 32.23 .68 .7 1.74 2.77 0.56 0.55 5.67 2.95 0.01 1.7 3.94 .27 32.91 .67 .8 1.77 2.75 0.53 0.57 5.77 3.02 0.00 1.8 3.67 .27 33.58 .68 .9 1.79 2.74 0.51 0.59 5.87 3.08 0.00 1.9 3.40 .25 34.26 .68 2.0 1.82 2.73 0.49 0.61 5.95 3.14 0.00 2.0 2.1 3.15 2.92 .23 .23 34.94 35.61 .67 .68 2.1 2.2 1.84 1.87 2.72 2.70 0.47 0.45 0.63 0.65 6.02 6.08 3.20 3.26 0.01 0.02 2.2 2.69 .22 36.29 .68 2.3 1.89 2.69 0.44 0.68 6.12 3.31 0.03 2.3 2.47 .20 36.97 .68 2.4 1.92 2.67 0.42 0.70 6.15 3.37 0.05 2.4 2.27 .19 37.65 .67 2.5 2.6 2.7 2.8 2.9 2.08 1.91 .74 .59 .45 .17 .17 .15 .14 .13 38.32 39.00 39.67 40.35 41.02 .68 .67 .68 .67 .67 2.5 2.6 2.7 2.8 2.9 1.94 1.96 1.99 2.01 2.04 2.66 2.65 2.63 2.62 2.60 0.40 0.38 0.36 0.35 0.33 0.72 0.74 0.77 0.79 0.82 6.17 6.18 6.17 6.15 6.12 3.42 3.16 3.55 3.59 0.07 0.10 0.12 0.15 0.18 3.0 .32 .12 41.69 .66 3.0 2.06 2.59 0.31 0.84 6.07 3.63 0.21 3.1 .20 .10 42.35 .67 3.1 2.08 2.57 0.30 0.86 6.01 :uid 0.25 3.2 .10 .09 43.02 .66 3.2 2.11 2.55 0/28 0.89 5.94 3.<><) 0.29 3.3 .01 .07 43.68 .66 3.3 2.13 2..") 1 0/27 0.91 5.86 8.72 0.33 3.4 0.94 .07 44.34 .65 3.4 2.16 2.52 0/25 0.94 5.76 :i.7i 0.38 3.5 0.87 .05 44.99 .65 3.5 2.18 2.50 0.24 0.96 5.66 8.77 0.42 :{.() 0.82 .04 45.64 .65 3.6 2.20 •2.18 0.23 0.98 5.5 1 8.79 0.47 3.7 0.78 .02 46.29 .64 :t.7 •2. '2 '2 •2. l(i 0.21 1.01 5.41 3.N 1 0.53 BJ 0.76 .02 46.93 .H 1 3.s 2/2 1 •2.11 0/20 1J08 5.97 8-82 0.59 3.9 0.74 .00 47.57 .63 3.9 2/2<> 2.4-2 0.18 1.06 5.12 848 0.64 4.0 0.74 .01 48.20 .63 4.0 2.28 2.40 0.17 .08 1.1)7 8.84 0.70 4.1 0.75 .03 l-vs:i .63 4.1 •2.30 2.38 0.16 .11 I.MI 3.84 0.76 u 0.7s .01 111. Hi .61 4.2 B.82 2.36 0.15 .18 4.63 3.K1 0.82 1.3 0.82 .05 BOOT .61 4.3 2.34 0.13 .16 449 8.88 0.89 1.1 O.H7 .06 Iftfg .61 4.4 2.37 •2.32 0.12 .18 1/27 3.83 0.95 4.5 L6 0.93 1.01 .(is .0!) 51. -2!) BL89 .60 4.5 2.39 2.30 0.11 1.21 4.08 3.82 1.02 4.7 1.10 .10 .."IN 4.6 2.41 •2.2N 0.10 1/24 9,89 3.N 1 1.09 IS L9 5.0 1.20 1.31 1.11 .11 .13 .14 53.06 r.:u; i 5491 .58 .57 .57 4.7 4.8 l.H 5.0 •2. 13 2.45 2.47 •2. 1!) •2.'2(i 2/2 1 2/2-2 2.20 0.09 0.09 0.08 0.07 1.26 1.29 1.31 1.34 3.69 3.49 3.29 3.09 3.79 3.77 :{.7r. 3.73 1.16 1.24 1.31 1.38 320 TABLES CXII.-CXV. TABLES ARGUMENTS CXII. 3. CXIII. 6. CXIV. ». cxv. 8. Days. 2O 3O Days. O 1O 2O 3O O O 1O Days. Equation. vs. Equation. Diff. Davs. 5.0 2.49 2.20 0.07 1.34 3.09 3.73 1.38 l)a\s ,( H 5.1 2.51 2.18 0.06 1.37 2.89 3.70 1.46 5.0 1.44 .14 51.21 .57 5.2 2.52 2.15 0.06 1.39 2.69 3.67 1.54 5.1 1.58 .15 54.78 .56 5.3 2.54 2.13 0.05 1.42 2.49 3.63 1.61 5.2 1.73 .17 55.34 .55 3.4 2.55 2.10 0.05 1.44 2.29 3.60 1.69 5.3 1.90 .17 55.89 .54 5.4 2.07 .19 56.43 .54 5.5 2.57 2.08 0.04 1.47 2.10 3.56 1.77 5.5 5.6 5.7 5.8 2.26 2.46 2.68 2.90 .20 .22 .22 .24 56.97 57.50 58.02 58.52 .53 .52 .50 .49 5.6 5.7 5.8 5.9 2.58 2.60 2.62 2.63 2.06 2.03 2.01 1.98 0.03 0.03 0.02 0.02 1.50 1.52 1.55 1.57 1.91 1.73 1.55 1.38 3.51 3.47 3.42 3.37 1.85 1.93 2.00 2.08 • 5.9 3.14 .25 59.01 .48 6.0 2.65 1.96 0.01 1.60 1.21 3.32 2.16 6.0 3.39 .26 59.49 .47 6.1 2.66 1.94 0.01 1.63 1.06 3.26 2.24 6.1 3.65 .27 59.96 .47 6.2 2.68 1.91 0.01 1.65 0.91 3.20 2.31 6.2 3.92 .29 60.43 .46 6.3 2.69 1.89 0.00 1.68 0.77 3.14 2.39 6.3 4.21 .30 60.89 .45 6.4 2.71 1.86 0.00 1.70 0.64 3.08 2.46 6.4 4.51 .31 61.34 .44 6.5 2.72 1.84 0.00 1.73 0.52 3.02 2.54 6.5 4.82 .32 61.78 .43 6.6 2.73 1.81 0.00 1.76 0.42 2.95 2.61 6.6 5.14 .33 62.21 .42 6.7 2.74 1.79 0.00 1.78 0.32 2.89 2.69 6.7 5.47 .34 62.63 .41 6.8 2.76 1.76 0-00 1.81 0.24 2.82 2.76 6.8 5.81 .35 63.04 .39 6.9 2.77 1.74 0.00 1.83 0.17 2.75 2.83 6.9 6.16 .37 63.43 .38 7.0 2.78 1.71 0.00 1.86 0.11 2.68 2.90 7.0 6.53 .37 63.81 .37 7.1 2.79 1.68 0.00 1.88 0.06 2.61 2.96 7.1 6.90 .39 64.18 .36 7.2 2.80 1.66 0.00 1.91 0.03 2.53 3.03 7.2 7.29 .40 64.54 .34 7.3 2.81 1.63 0.01 1.93 0.01 2.46 3.09 7.3 7.69 .40 64.88 .33 7.4 2.82 1.61 0.01 1.96 0.00 2.38 3.15 7.4 8.09 .42 65.21 .32 7.5 7.6 7.7 7.8 7.9 8.51 8.94 9.38 9.82 10.28 .43 .44 .44 .46 .47 65.53 65.84 66.14 66.43 66.71 .31 .30 .29 .28 .26 7.5 7.6 7.7 7.8 7.9 2.83 2.84 2.84 2.85 2.85 1.58 1.55 1.53 1.50 1.48 0.01 0.02 0.02 0.03 0.03 1.98 2.01 2.03 2.05 2.08 0.01 0.03 • 0.06 0.10 0.16 2.31 2.23 2.15 2.08 2.00 3.21 3.26 3.32 3.37 3.42 8.0 10.75 .47 66.97 .25 8.0 2.86 1.45 0.04 2.10 0.23 1.92 3.47 8.1 11.22 .49 67.2-2 .23 8.1 2.86 1.42 0.05 2.12 0.31 1.84 3.51 8.2 11.71 .49 67.45 .22 8.2 2.87 1.40 0.05 2.14 0.41 1.76 3.55 8.3 12.20 .50 67.67 .20 8.3 2.87 1.37 0.06 2.17 0.51 1.69 3.59 8.4 12.70 .51 67.87 .19 8.4 2.88 1.35 0.06 2.19 0.63 1.61 3.63 8.5 13.21 .52 68.06 .18 8.5 2.88 1.32 0.07 2.21 0.76 1.53 3.67 8.6 13.73 .53 68.24 .17 8.6 2.88 1.29 0.08 2.23 0.90 1.45 3.70 8.7 14.26 .54 68.41 .15 8.7 2.89 1.27 0.09 2.25 1.04 1.38 3.73 8.8 U.80 .54 68.56 .14 8.8 2.89 1.24 0.10 2.27 1.20 1.30 3.75 8.9 15.31 .56 68.70 .13 8.9 2.90 1.22 0.11 2.29 1.36 1.23 3.77 9.0 15-.90 .56 68.83 .11 9.0 2.90 1.19 0.12 2.31 1.53 1.16 3.79 9.1 16.46 .56 68.94 .10 9.1 2.90 . 1.16 0.13 2.33 1.71 1.09 3.81 9.2 17.02 .58 69.04 .08 9.2 2.90 1.14 0.14 2.35 1.90 1.02 3.82 9.3 17.60 .58 69.12 .07 9.3 2.90 1.11 0.15 2.37 2.09 0.96 3.83 9.4 18.18 .58 69.19 .06 9.4 2.90 1.09 0.17 2.39 2.28 0.89 3.84 9.5 9.6 9.7 9.8 9.9 10.0 18.76 19.36 19.90 20.56 21.17 21.79 .60 .60 .60 .61 .62 .62 69.25 69.29 69.32 69.34 69.31 69.34 .04 .03 .02 .00 .00 .00 9.5 9.6 9.7 9.8 9.9 10.0 2.90 2.90 2.90 2.89 2.89 2.89 1.06 1.04 1.01 0.99 0.96 0.94 0.18 0.19 0.21 0.22 0.24 0.25 2.41 2.43 2.45 2.47 2.49 2.51 2.47 2.67 2.87 3.07 3.27 3.48 0.82 0.76 0.70 0.64 0.58 0.5-2 3.84 3.84 3.83 3.83 3.82 3.81 321 TABLES CXVI.-CXIX. TABLES ARGUMENTS CXVI. 9. cxvn. 10. cxvm. 11. CXIX. 13. Days. O 1O 2O O 1O 20 O 10 2O O Day.. 0.0 1.14 2.16 0.15 099 6.31 1.89 6.80 6.14 1.41 6.26 0.1 1.16 2.15 0.14 0.97 0.33 1.89 0.78 0.15 1.41 0.29 0.2 1.19 2.14 0.13 0.95 0.35 1.88 0.77 0.16 1.41 0.32 0.3 1.21 2.121 0.12 092 0.36 1.88 0.75 0.17 1.42 0.35 0.4 1.24 2.11 0.11 0.90 0.38 1.87 0.74 0.18 1.42' 0.39 0.5 1.26 2.10 0.10 0.88 0.40 1.87 0.72 0.19 1.42 0.42 0.6 1.28 2.08 0.09 0.86 0.42 1.86 0.70 0.20 1.42 0.46 0.7 1.31 2.07 0.08 0.83 0.44 1.85 0.69 0.21 1.42 0.50 0.8 1.88 2.06 0.07 0.81 046 1.85 0.67 0.23 1.42 0.54 0.9 1.36 2.04 0.06 0.78 0.48 1.84 0.66 0.24 1.42 0.58 1.0 1.38 2.03 0.05 0.76 0.50 1.83 0.64 0.25 1.42 0.62 1.1 1.40 2.01 0.04 0.74 0.52 1.82 0.62 0.26 1.42 0.66 1.2 1.43 1.99 0.04 0.72 0.54 1.81 0.61 0.28 1.42 0.70 1.3 1.45 1.98 0.03 0.69 057 1.80 0.59 0.29 1.41 0.73 1.4 1.48 1.96 0.03 0.67 0.59 1.79 0.58 0.31 1.41 0.77 1.5 1.50 1.94 0.02 0.65 0.61 1.78 0.56 0.32 1.41 0.80 1.6 1.52 1.92 0.02 0.63 0.63 1.77 0.54 0.-33 1.41 0.83 1.7 1.54 1.90 0.02 0.61 0.65 1.75 0.53 0:35 1.40 0.87 1.8 1.57 1.89 0.01 0.58 0.68 1.74 0.51 0.36 1.40 0.90 1.9 1.59 1.87 0.01 0.56 0.70 1.72 0.50 0.38 1.39 0.93 2.0 1.61 1.85 0.01 0.54 0.72 1.71 0.48 0.39 1.39 0.96 2.1 1.63 1.83 0.00 0.52 0.74 1.70 0.46 0.41 1.38 0.99 2.2 1.65 1.81 0.00 0.50 0.76 1.68 0.45 0.42 1.38 1.02 2.3 1.68 1.78 0.00 0.48 0.79 1.67 0.43 0.44 1.37 1.04 2.4 1.70 1.76 0.00 0.46 0.81 1.65 0.42 0.45 1.37 1.07 2.5 1.72 1.74 0.00 0.44 0.83 1.64 0.40 0.47 1.36 1.09 2.6 1.74 1.72 0.00 0.42 0.85 1.62 0.39 0.49 1.35 1.11 2.7 1.76 1.70 0.00 0.40 0.88 1.60 0.37 0.50 1.34 1.12 2.8 1.79 1.67 0.01 0.39 0.90 1.59 0.36 0.52 1.34 1.14 2.9 1.81 1.65 0.01 0.37 0.93 1.57 0.34 0.53 1.33 1.15 3.0 1.83 1.63 0.01 0.35 0.95 1.55 0.33 0.55 1.32 1.17 3.1 1.85 1.61 0.01 0.33 0.97 1.53 0.32 057 1.31 1.18 3.2 1.87 1.59 0.02 0.31 1.00 1.51 0.30 0.58 1.30 1.19 3.3 1.88 1.56 002 0.30 1.02 1.50 0.29 0.60 1.29 1.19 3.4 1.90 1.54 0.03 0.28 1.05 1.48 0.27 0.61 1.28 1.20 3.5 1.92 1.52 0.03 026 1.07 1.46 0.26 0.63 1.27 1.20 3.6 1.91 1.50 0.04 0.25 1.09 1.44 0.25 0.65 1.26 1.20 3.7 1.96 1.47 0.04 0.23 1.11 1.42 0.24 0.66 1.25 1.19 3.8 1.97 1.45 0.05 0.22 1.14 1.40 0.22 0.68 1.24 1.19 3.9 1.99 1.42 0.05 0.20 1.16 1.38 0.21 0.69 1.23 1.18 4.0 2.01 1.40 006 0.19 1.18 1.36 0.20 0.71 1.22 1.17 4.1 2.0:{ 1 ..'(N 0.07 0.18 1.20 1.34 0.19 0.73 1.21 1.15 4.2 2.01 1.35 0.08 0.16 1.22 1.32 0.18 0.74 1.20 1.14 4.3 2.06 L88 0.09 0.15 1.25 1.29 0.17 0.76 1.18 1.12 4.4 2.07 1.30 0.10 0.13 1.27 1.27 0.16 0.77 1.17 1.10 4.5 2.09 1.28 0.11 0.12 1.29 1.25 0.15 0.79 1.16 1.08 4.6 2.10 1.26 0.12 0.11 1.31 1.23 0.14 0.81 1.15 1.05 4.7 2.12 1.23 0.13 0.10 1.33 1.21 0.13 0.82 1.13 1.03 4.8 2.13 1.21 0.14 0.09 1.36 1.18 0.12 0.84 1.12 1.00 4.9 2.15 1.18 0.15 0.08 1.38 1.16 0.11 0.85 1.10 0.98 5.0 2.1fi 1.16 0.16 0.07 1.40 1.14 0.10 0.87 1.09 0.95 322 TABLES CXVI.-CXIX. TABLES ARGUMENTS CXVI. 9. CXVII. 10. cxvm. 11. CXIX. 13. Days. O 1O 90 o 10 20 o 10 20 O Days 5.0 2.16 1.16 0.16 007 1.40 1.14 0.10 0.87 109 6.95 5.1 2.17 1.14 0.17 0.06 1.42 1.12 0.09 0.89 1.08 0.92 5.2 2.18 1.11 0.19 0.05 1.44 1.09 0.08 0.90 1.06 0.88 5.3 2.19 1.09 0.20 0.05 1.46 1.07 0.08 0.92 1.05 0.85 5.4 2.20 1.06 0.22 0.04 1.48 1.04 0.07 0.93 1.03 0.81 5.5 2.21 1.04 0.23 0.03 1.50 1.02 0.06 0.95 1.02 0.78 5.6 2.22 1.02 0.25 0.03 152 1.00 0.05 0.97 1.00 0.74 5.7 2.23 0.99 0.26 0.02 1.54 0.98 0.05, 0.98 0.99 0.71 5.8 2.24 0.97 0.28 0.02 155 0.95 0.04 1.00 0.97 0.67 5.9 2.25 0.94 0.29 0.01 1.57 0.93 0.04 1.01 0.96 0.64 6.0 2.26 0.92 0.31 0.01 1.59 0.91 0.03 1.03 0.94 0.60 6.1 2.27 0.90 0.33 0.01 1.61 0.89 0.03 1.04 0.92 0.56 6.2 2.27 0.87 0.35 0.01 1.62 0.86 0.02 1.06 0.91 0.53 6.3 2.28 0.85 0.36 0.00 1.64 0.84 0.02 1.07 0.89 0.49 6.4 2.28 0.82 0.38 0.00 1.65 0.81 0.01 1.09 0.88 0.46 6.5 2.29 0.80 0.40 0.00 1.67 0.79 0.01 1.10 0.86 0.42 6.6 2.29 0.78 0.42 0.00 1.68 0.77 0.01 1.11 0.84 0.39 6.7 2.30 0.76 0.44 0.00 1.70 0.75 0.01 1.13 0.83 0.35 6.8 2.30 0.73 0.45 0.00 1.71 0.72 0.00 1.14 0.81 0.32 6.9 2.31 0.71 0.47 0.00 1.73 0.70 0.00 1.16 0.80 0.28 7.0 2.31 0.69 0.49 0.01 1.74 0.68 0.00 1.17 0.78 0.25 7.1 2.31 0.67 0.51 0.01 1.75 0.66 0.00 1.18 0.76 0.22 7.2 2.31 0.65 0.53 0.01 1.76 0.64 0.00 1.19 0.75 0.20 7.3 2.32 0.62 0.56 0.01 1.78 0.61 0.00 1.21 0.73 0.17 7.4 2.32 0.60 0.58 0.02 1.79 0.59 0.00 1.22 0.72 0.15 7.5 2.32 0.58 0.60 0.02 1.80 0.57 0.00 1.23 0.70 0.12 7.6 2.32 0.56 0.62 0.03 1.81 055 0.00 1.24 0.68 0.10 7.7 2.32 0.54 0.64 0.04 1.82 0.53 0.00 1.25 0.67 0.08 7.8 232 0.51 0.67 0.04 1.82 0.51 0.01 1.26 0.65 0.07 7.9 2.32 0.49 0.69 0.05 1.83 0.49 0.01 1.27 0.64 0.05 8.0 2.31 0.47 0.71 0.06 1.84 0.47 0.01 1.28 0.62 0.04 8.1 2.31 0.15 0.73 0.07 1.85 0.45 0.01 129 0.60 0.03 8.2 2.31 0.43 0.75 0.08 1.86 0.43 0.02 1.30 0.59 0.02 8.3 2.30 0.42 078 0.08 1.86 0.41 0.02 1.31 0.57 0.01 8.4 '2.30 0.40 0.80 0.09 1.87 0.39 0.03 1.32 0.56 001 8.5 2.30 0.38 0.82 010 1.88 0.37 0.03 1.33 0.54 0.00 8.6 2.29 0.36 0.84 0.11 1.88 0.35 0.04 1.34 0.52 0.00 8.7 2.29 0.34 087 0.12 1.88 0.33 0.04 1.34 0.50 0.01 8.8 2.28 0.33 0.89 0.14 1.89 0.32 0.05 1.35 0.49 0.01 8.9 2.28 0.31 0.92 0.15 1.89 0.30 0.05 1.35 0.48 0.02 9.0 2.27 0.29 0.94 0.16 1.89 0.28 0.06 1.36 0.46 0.03 9.1 2.26 0.27 0.96 0.17 1.90 0.26 0.07 1.37 0.44 0.04 9.2 2.25 0.26 0.99 0.19 1.90 0.25 0.07 1.37 0.43 0.06 9.3 2.24 0.24 1.01 0.20 1.90 0.23 0.08 1.38 0.41 0.07 9.4 2.23 0.23 1.04 0.22 1.90 0.22 0.08 1.38 0.40 0.09 9.5 2.22 0.22 1.06 0.23 1.90 0.20 0.09 1.39 0.38 0.11 9.6 2.21 0.20 1.08 0.25 1.90 0.19 0.10 1.39 0.37 0.13 9.7 2.20 0.19 1.11 0.26 1.90 0.18 0.11 1.40 0.35 0.16 9.8 2.18; 0.17 1.13 0.28 1.89 0.16 0.12 1.40 0.34 0.18 9.9 2.17 0.16 1.16 0.29 1.89 0.15 0.13 1.41 0.32 0.21 10.0 2.16 0.15 1.18 0.31 1.89 0.14 0.14 1.41 0.31 0.24 323 TABLES CXX.-CXXIV. TABLES CXX. ARGUMENTS !*• CXXI. 15. CXXII. 16. cxxm. IT. CXXIV 18. Days. O 1O 2O 0 1O o 10 o 10 20 0 DavB 6.0 0.25 0.03 0.43 0.43 0.55 6.64 0.15 0.13 0.25 0.00 6.21 0.1 0.25 0.03 0.43 0.42 0.56 0.61 0.17 0.13 0.25 0.00 0.23 0.2 0.24 0.03 0.43 0.40 0.57 0.59 0.18 0.14 0.25 0.00 0.24 0.3 0.24 0.04 0.44 0.39 0.57 056 0.20 0.14 0.24 0.00 0.25 0.4 0.23 0.04 0.44 0.37 0.58 0.54 0.22 0.15 0.24 0.00 0.27 0.5 0.23 0.04 0.44 0.36 0.69 0.51 0.24 0.15 0.24 0.00 0.28 0.6 0.22 0.04 0.44 0.35 0.59 0.48 0.26 0.15 0.24 0.00 0.29 0.7 0.22 0.05 0.44 0.34 0.60 0.45 0.29 0.15 0.24 0.00 0.30 0.8 0.21 0.05 0.45 0.32 0.60 0.43 0.31 0.16 0.23 0.00 0.32 0.9 0.21 0.06 0.45 0.31 0.61 0.40 0.34 0.16 0.23 0.00 0.33 1.0 0.20 0.06 0.45 0.30 0.61 0.37 0.37 0.16 0.23 0.00 0.34 1.1 0.19 0.06 0.45 0.29 0.61 0.34 0.40 0.17 0.23 0.00 0.35 1.2 0.19 0.06 0.45 0.27 0.61 0.31 0.43 0.17 0.23 0.00 0.36 1.3 0.18 0.07 0.46 0.26 0.62 0.29 0.45 0.17 0.22 0.00 0.37 1.4 0.18 0.07 0.46 0.24 0.62 0.26 0.48 • 0.18 0.22 0.00 0.38 1.5 0.17 0.07 0.46 0.23 0.62 0.24 0.51 0.18 0.22 0.00 0.39 1.6 0.17 0.07 0.46 0.22 0.62 0.22 0.54 0.18 0.21 0.00 0.40 1.7 0.16 0.08 0.46 0.21 0.62 0.20 0.56 0.18 0.21 0.00 0.41 1.8 0.16 0.08 0.46 0.19 0.61 0.18 0.59 0.19 0.21 0.00 0.42 1.9 0.15 0.09 0.46 0.18 0.61 0.17 0.61 0.19 0.20 0.00 0.42 2.0 0.15 0.09 0.46 0.17 0.61 0.15 0.64 0.19 0.20 0.00 0.43 2.1 0.15 0.09 0.46 0.16 0.61 0.14 0.66 0.20 0.20 0.01 0.43 2.2 0.14 0.10 0.46 0.15 0.60 0.13 0.68 0.20 0.20 0.01 0.43 2.3 0.14 0.10 0.46 0.13 0.60 0.12 0.70 0.20 0.19 0.01 0.44 2.4 0.13 0.11 0.46 0.12 0.59 0.12 0.71 0.21 0.19 0.01 0.44 2.5 0.13 0.11 0.46 0.11 0.59 0.11 0.73 0.21 0.19 0.01 0.44 2.6 0.13 0.11 0.46 0.10 0.58 0.11 0.74 0.21 0.18 0.01 0.44 2.7 0.12 0.12 0.46 0.09 0.58 0.11 0.75 0.21 0.18 0.01 0.44 2.8 0.12 0.12 0.46 0.08 0.57 0.11 0.76 0.22 0.18 0.02 0.43 2.9 0.11 0.13 0.46 0.07 0.57 0.12 0.77 0.22 0.17 0.02 0.43 3.0 0.11 0.13 0.46 0.06 0.56 0.12 0.78 0.22 0.17 0.02 0.43 3.1 0.11 0.14 0.46 0.05 0.55 0.13 0.78 0.22 0.17 0.02 0.42 3.2 0.10 0.14 0.46 0.05 0.54 0.14 0.78 0.22 0.17 0.02 0.42 3.3 0.10 0.15 0.45 0.04 0.53 0.15 0.77 0.23 0.16 0.02 0.41 3.4 0.09 0.15 0.45 0.04 0.52 0.16 0.77 0.23 . 0.16 0.02 0.41 3.5 0.09 0.16 0.45 0.03 0.51 0.17 0.76 0.23 0.16 0.03 0.40 3.6 0.09 0.16 0.45 0.03 0.50 €.19 0.75 0.23 0.15 0.03 0.39 3.7 0.08 0.17 0.45 0.02 0.49 0.21 0.74 '0.23 0.15 0.03 0.38 3.8 0.08 0.17 0.44 0.02 0.48 0.23 0.72 0.24 0.15 0.03 0.37 3.9 0.07 0.18 0.44 0.01 0.47 0.25 0.71 0.24 0.14 0.03 0.36 4.0 0.07 0.18 0.44 0.01 0.46 0.27 0.69 0.24 0.14 004 0.35 4.1 0.07 0.19 0.44 0.01 0.45 0.29 0.67 0.24 0.14 0.04 0.34 4.2 0.06 0.19 0.44 0.01 0.43 0.31 0.65 0.24 0.13 0.04 0.33 4.3 006 0.20 0.43 0.00 0.42 0.33 0.63 0.24 0.13 0.04 0.32 4.4 0.05 0.20 0.48 0.00 0.40 0.35 0.60 0.25 0.13 005 0.30 4.5 0.05 0.21 0.43 0.00 0.39 0.37 0.58 0.25 0.12 0.05 0.29 4.6 0.05 0.21 o. i:f 0.00 <)..'iH ().:(! 0.55 0.25 0.12 0.05 0.28 4.7 0.05 0.22 0.43 0.00 0.36 0.41 0.53 0.25 0.12 005 0.26 4.8 0.04 0.22 0. 12 0.01 0.35 0.43 0.50 0.26 0.11 0.06 0.25 4.9 0.01 0.2.' 0.42 0.01 0.33 0.45 0.47 0.26 0.11 0.06 0.23 5.0 0.04 0.23 0.42 0.01 0.32 0.47 0.11 0.26 (Ml 0.06 0.22 324 TABLES CXX.-CXXIV. TABLES CXX. ARGUMENTS !*• CXXI. 15. CXXII. 16. CXXIII. 17. CXXIV. 18. Days. O 1O SO o 10 o 10 O 1O SO O Days 5.0 0.04 0.23 0.42 6.01 0.32 0.47 0.44 6.26 6.11 0.06 6.22 5.1 0.04 0.23 0.42 0.01 0.31 0.48 0.41 0.26 0.10 0.06 0.21 5.2 0.04 0.24 0.42 0.02 0.29 0.50 0.39 0.26 0.10 0.06 0.19 5.3 0.03 0.24 0.41 0.02 0.28 0.51 0.36 0.27 0.10 0.07 0.18 5.4 0.03 0.25 0.41 0.03 0.26 0.52 0.34 0.27 0.09 0.07 0.16 5.5 0.03 0.25 0.41 0.03 0.25 0.53 0.31 0.27 0.09 0.07 0.15 5.6 0.03 0.26 0.41 0.04 0.24 0.54 0.29 0.27 0.09 0.07 0.14 5.7 0.03 0.26 0.40 0.05 0.23 0.55 0.26 0.27 0.09 0.08 0.13 5.8 0.02 0.27 • 0.40 0.05 0.21 0.55 0.24 0.27 0.08 0.08 0.11 5.9 0.02 0.27 0.39 0.06 0.20 0.56 0.21 0.27 0.08 0.08 0.10 6.0 0.02 0.28 0.39 0.07 0.19 0.56 0.19 0.28 0.08 0.09 0.09 6.1 0.02 0.28 0.39 0.08 0.18 0.56 0.17 0.28 0.08 0.09 0.08 6.2 0.02 0.29 ! 0.38 0.09 0.17 0.55 0.16 0.28 0.07 009 0.07 6.3 0.01 0.29 0.38 0.10 0.15 0.55 0.14 0.28 0.07 0.10 0.06 6.4 0.01 0.30 0.37 0.11 0.14 0.54 0.13 0.28 0.07 0.10 0.05 6.5 0.01 0.30 0.37 0.12 0.13 0.53 0.12 0.28 0.06 0.10 0.04 6.6 0.01 0.31 0.37 0.13 0.12 0.52 0.12 0.28 0.06 0.11 0.03 6.7 0.01 0.31 0.36 0.14 0.11 0.51 0.11 0.28 0.06 0.11 0.03 6.8 0.00 0.32 0.36 0.16 0.10 0.50 0.11 0.28 0.05 0.11 0.02 6.9 0.00 0.32 0.35 0.17 0.09 0.48 0.11 0.28 0.05 0.12 0.02 7.0 0.00 0.33 0.35 0.18 0.08 0.47 0.11 0.28 0.05 0.12 0.01 7.1 0.00 0.33 0.35 0.19 0.07 0.45 0.12 0.28 0.05 0.12 0.01 7.2 000 0.34 0.34 0.20 0.06 0.43 0.12 0.28 0.05 0.13 0.01 7.3 0.00 0.34 0.34 0.22 0.05 0.41 0.13 0.28 0.04 0.13 0.00 7.4 0.00 0.35 0.33 0.23 0.05 0.39 0.13 0.28 0.04 0.13 0.00 7.5 0.00 0.35 0.33 0.24 0.04 0.37 0.14 0.28 0.0 1 0.14 0.00 7.6 0.00 0.35 0.33 0.25 0.03 0.35 0.15 0.28 0.04 0.14 0.00 7.7 0.00 0.36 0.32 0.27 0.03 0.33 0.16 0.28 0.04 0.14 0.00 7.8 0.00 0.36 0.32 0.28 0.02 0.31 0.18 0.28 0.03 0.15 0.01 7.9 0.00 0.37 0.31 0.30 0.02 0.29 0.20 0.28 0.03 0.15 0.01 8.0 0.00 0.37 0.31 0.31 0.01 027 0.22 0.28 0.03 0.15 0.01 8.1 0.00 0.3' 0.31 0.32 0.01 0.25 0.24 0.28 O.OJ 0.16 0.02 8.2 0.00 0.38 0.30 0.34 0.01 0.23 0.26 0.28 0.03 0.16 0.02 8.3 0.00 0.38 0.30 0.35 0.00 0.21 0.28 0.27 0.02 0.16 0.03 8.4 0.00 0.39 0.29 0.37 0.00 0.19 0.30 0.27 0.02 0.17 0.04 8.5 0.00 0.39 0.29 0.38 0.00 0.17 0.32 0.27 0.02 0.17 0.05 8.6 0.00 0.39 0.29 0.39 0.00 0.16 0.34 0.27 0.02 0.17 0.06 8.7 0.00 0.39 0.28 0.40 0.00 0.15 0.36 0.27 0.02 0.17 • 0.07 8.8 0.01 0.40 0.28 0.42 0.00 0.14 0.38 0.27 0.01 0.18 0.08 8.9 0.01 0.40 0.27 0.43 0.00 0.13 0.40 0.27 0.01 0.18 0.09 9.0 o.oi 0.40 027 0.44 0.00 0.12 0.42 0.27 0.01 018 0.10 9.1 0.01 0.40 0.26 0.45 0.01 0.12 0.44 0.27 0.01 0.19 0.11 9.2 0.01 0.41 0.25 0.46 0.01 0.11 0.46 0.27 0.01 0.19 0.12 9.3 002 0.41 0.25 0.48 0.01 0.11 0.48 0.26 0.01 0.19 0.14 9.4 0.02 0.42 0.24 0.49 0.02 0.11 0.49 0.26 0.01 020 0.15 9.5 0.02 0.42 0.23 0.50 0.02 0.11 0.51 0.26 0.01 0.20 0.16 9.6 0.0-2 0.42 0.23 0.51 0.03 0.12 0.52 0.26 0.01 0.20 0.17 9.7 0.02 0.42 0.22 0.52 0.03 0.12 0.53 0.26 0.01 0.20 0.19 9.8 0.03 0.43 0.22 0.53 0.04 0.13 0.54 0.25 0.00 0.21 0.20 9.9 0.03 0.43 0.21 0.54 0.04 0.14 '0.54 0.25 0.00 0.21 0.22 10.0 0.03 0.43 0.21 0.55 0.05 0.15 0.55 0.25 0.00 0.21 0.23 325 TABLES CXXV.-CXXVIII. TABLES CXXV. ARGUMENTS 19« CXXVI. 20. CXXVII. 22. CXXVIII. 23. Days. O IO 2O 0 10 O IO 20 3O O IO 2O D«y». ,1 I if II II 1 0.0 0.15 0.04 0.24 0.08 0.03 0.09 003 6.18 0.02 0.09 0.05 0.17 0.1 0.15 0.04 0.24 0.08 0.03 0.09 0.02 0.18 0.03 0.09 0.05 0.17 0.2 0.14 0.04 0.24 0.09 0.02 0.10 0.02 0.18 0.03 O.OS) 0.05 0.17 0.3 0.14 0.05 0.23 0.09 0.02 0 10 0.02 0.18 0.03 0.08 0.05 0.16 0.4 0.13 0.05 0.23 0.10 0.01 0.11 0.02 0.18 0.04 0.08 0.05 0.16 0.5 0.13 0.05 023 0.10 0.01 0.11 0.01 0.18 0.04 0.08 0.06 0.16 0.6 0.13 0.05 0.23 0.11 0.01 0.11 0.01 0.18 0.04 0.08 0.06 0.16 0.7 0.12 005 0.23 0.11 0.01 0.12 0.01 0.18 0.04 0.08 0.06! 0.16 0.8 0.12 0.06 0.23 0.12 0.00 0.12 0.01 0.17 0.05 0 07 0 07 0.15 0.9 0.11 0.06 0.23 0.12 0.00 0.13 0.01 0.17 0.05 0.07 0.07 0.15 1.0 0.11 0.06 0.23 0.13 0.00 0.13 0.01 0.17 0.05 0.07 0.07 0.15 1.1 0.11 0.07 0.23 0.13 0.00 0.13 0.01 0.17 0.05 0.07 0.07 0.15 1.2 0.11 0.07 0.23 0.14 0.00 0.13 0.01 0.17 0.06 0.07 0.07 0.15 1.3 0.10 0.07 0.22 0.14 0.00 0.14 0.00 0.17 0.06 0.06 0.08 0.14 1.4 0.10 008 0.22 0.15 0.00 0.14 0.00 0.17 0.06 0.06 0.08 0.14 1.5 0.10 0.08 0.22 0.15 0.00 0.14 0.00 0.17 0.07 0.06 0.08 0.14 1.6 0.10 0.08 0.22 0.16 0.00 0.14 0.00 0.16 0.07 0.06 0.08 0.14 1.7 0.09 0.08 0.22 0.16 0.00 0.14 0.00 0.16 0.08 0.06 0.08 0.14 1.8 0.09 0.09 0.21 0.17 0.00 0.15 0.00 0.16 0.08 0.05 0.09 0.13 1.9 0.08 0.09 0.21 0.17 0.00 0.15 0.00 0.16 0.09 0.05 0.09 0.13 2.0 0.08 0.09 0.21 0.18 0.00 0.15 0.00 0.15 0.09 0.05 0.09 0.13 2.1 0.08 0.09 0.21 0.18 0.00 0.16 0.00 0.15 0.09 0.05 0.09 0 13 2.2 O.OS 0.09 0.21 0.19 0.00 0.16 0.00 0.15 0.10 0.05 0.09 0.13 2.3 0.07 0.10 0.20 0.19 0.01 0.16 0.00 0.15 0.10 0.04 0.10 0.12 2.4 0.07 0.10 0.20 0.20 0.01 0.16 0.00 0.14 0.11 0.04 0.10 0.12 2.5 0.07 0.10 0.20 0.20 0.01 0.17 0.00 0.14 0.11 0.04 0.10 0.12 2.6 0.07 0.11 0.19 0.20 0.01 0.17 0.00 0.14 0.11 0.04 0.10 0.12 2.7 0.07 0.11 0.19 0.21 0.01 0.17 0.00 0.14! 0.11 0.04 0.10 0.12 2.8 0.06 0.11 0.19 0.21 0.02 0.17 0.01 0.13 0.12 0.03 0.11 0.11 2.9 0.06 0.12 0.18 0.22 0.02 0.17 0.01 0.13 0.12 0.03 0.11 0.11 3.0 0.06 0.12 0.18 0.22 0.02 0.17 0.01 0.13 0.12 0.03 0.11 0.11 3.1 0.06 0.12 0.18 0.22 0.03 0.17 0.01 0.12 0.12 0.03 0.11 0.11 3.2 0.05 013 0.18 0.22 003 0.17 0.01 0.12 0.13 0.03 0.12 0.11 :{.:< 0.05 0.13 0.17 0.23 0.03 0.18 0.02 0.12 0.13 0.02 0.12 0.10 3.4 0.04 0.13 0.17 0.23 0.04 0.18 0.02 0.11 0.13 0.02 0.12 0.10 3.5 0.04 0.14 0.17 0.23 0.04 0.18 0.02 0.11 0.14 0.02 0.12 0.10 3.6 0.04 0.14 0.17 0.23 0.04 0.18 0.02 0.11 0.14 0.02 0.13 0.10 3.7 .0.04 0.14 0.17 0.23 0.05 0.18 0.02 0.10 0.14 0.02 0.13 0.10 3.8 0.03 0.15 0.16 0.24 0.05 0.18 0.03 0.10 0.14 0.01 0.18 0.09 3.9 0.03 0.15 0.16 0.24 0.06 0.18 0.03 0.09 0.15 0.01 0.13 0.09 4.0 0.03 0.15 0.16 0.24 0.06 0.18 0.03 0.09 0.15 0.01 0.13 0.09 1.1 0.03 0.15 0.15 0.2 i 0.07 0.18 0.03 0.09 0.15 0.01 0.14 0.09 4.2 0.03 0.1. -i 0.15 0.24 0.07 0.18 0.03 0.08 0 15 0.01 0.14 0.08 i.:! 0.02 0.16 0.15 0.2 1 0.08 0.18 0.04 0.08 0.15 0.01 0.14 0.08 l.l 0.02 0.16 0.14 0.24 0.08 0.18 0.04 0.07 0.16 0.01 0.11 0.08 i;. 1MB 0.16 0.14 0.24 0.09 0.18 0.04 0.07 0.16 0.01 0.14 0.08 4.6 0.0-,! 0.17 0.14 0.2 1 0.0!) 0.18 0.04 0.07 0.16 0.01 0.15 0.07 1.7 0.02 0.17 0.13 O.-.M 0.10 0.18 0.05 0.07 0.16 0.01 0.15 0.07 48 0.01 0.17 0.13 0.24 0.10 0.17 0.05 0.06 0.16 0.00 0.15 0.07 III 0.01 (UN O.l.'l 0.24 0.11 0.17 0.05 0.06 0.17 0.00 0.15 0.06 5.0 0.01 0.18! 0.12 0.2 1 0.11 0.17 0.0<; O.Oti 0.17 0.00 0.151 0.06 326 TABLES CXXV.-CXXVIII, TABLES CXXV. ARGUMENTS 19. CXXVI. 20. CXXVII. 22. CXXVIII. 23. Days. O 1O 2O o 10 O 1O 30 3O 0 10 SO Days. 5.0 6.01 0.18 0.12 0.24 II 0.11 6.17 0.06 6.06 0.17 o.oo 6.15 0.06 5.1 0.01 0.18 0.12 0.24 0.12 0.17 0.06 0.06 0.17 0.00 0.15 0.06 5.2 0.01 0.18 0.12 0.24 0.12 0.17 0.06 0.05 0.17 0.00 0.16 0.06 5.3 0.01 0.19 0.11 0.23 0.13 0.16 0.07 0.05 0.17 0.00 0.16 0.05 5.4 0.01 0.19 0.11 0.23 0.13 0.16 0.07 0.05 0.18 0.00 0.16 0.05 5.5 0.01 0.19 0.11 0.23 0.14 0.16 0.07 0.04 0.18 0.00 0.16 0.05 5.6 0.01 0.19 0.10 0.23 0.14 0.16 0.08 0.04 0.18 0.00 0.16 0.05 5.7 0.01 0.19 0.10 0.22 0.15 0.16 0.08 0.0 1 0.18 0.00 0.16 0.05 5.8 0.00 0.20 0.10 0.22 0.15 0.15 0.08 0.0 1 0.18 000 0.17 0.04 5.9 0.00 0.20 0.09 0.21 0.16 0.15 0.09 0.03 0.18 0.00 0.17 0.04 6.0 0.00 0.20 0.09 0.21 0.16 0.15 0.09 0.03 0.18 0.00 0.17 0.04 6.1 0.00 0.20 0.09 0.21 0.17 0.15 0.09 0.03 0.18 0.00 0.17 0.04 6.2 0.00 0.20 0.09 0.20 0.17 0.15 0.10 0.03 0.18 0.00 0.17 0.04 6.3 0.00 0.21 0.08 0.20 0.18 0.14 0.10 0.03 0.18 0.00 0.17 0.03 6.4 0.00 0.21 0.08 0.19 0.18 0.14 0.10 0.02 0.18 0.00 0.17 0.03 6.5 0.00 0.21 0.08 0.19 0.19 0.14 0.11 0.02 0.18 0.00 0.17 0.03 6.6 0.00 0.21 0.07 0.19 0.19 0.14 0.11 0.02 •0.18 0.00 0.17 0.03 6.7 0.00 0.21 0.07 0.18 0.20 0.13 0.11 0.02 0.18 0.00 0.17 0.03 6.8 0.00 0.21 0.07 0.18 0.20 0.13 0.12 0.02 0.17 0.00 0.18 0.03 6.9 0.00 0.22 0.06 0.17 0.21 0.13 0.12 0.01 0.17 0.00 0.18 0.02 7.0 0.00 0.22 0.06 0.17 0.21 0.12 0.12 0.01 0.17 0.00 0.18 0.02 7.1 0.00 0.22 0.06 0.17 0.21 0.12 0.13 0.01 0.17 0.00 0.18 002 7.2 0.00 0.22 0.06 0.16 0.21 0.12 0.13 0.01 0.17 0.00 0.18 0.02 7.3 0.00 0.22 0.05 0.16 0.22 0.11 0.13 0.01 0.17 0.01 0.18 0.02 7.4 0.00 0.22 0.05 0.15 0.22 0.11 0.14 0.00 0.17 0.01 0.18 0.02 7.5 0.00 0.23 0.05 0.15 0.22 0.11 0.14 0.00 0.17 0.0! 0.1S 0.02 7.6 0.00 0.23 0.05 0.14 022 0.11 0.14 0.00 0.16 0.01 0.18 0.02 7.7 0.00 0.23 0.05 0.14 0.22 0.10 0.14 0.00 0.16 0.01 0.18 0.02 7.8 0.01 0.23 0.04 0.13 023 010 0.15 0.00 0.16 0.01 0.18 0.01 7.9 0.01 0.23 0.04 0.13 0.23 0.10 0.15 0.00 0.16 0.01 0.18 0.01 8.0 0.01 0.23 0.04 0.12 0.23 0.09 0.15 0.00 0.16 o.o; 0.18 0.01 8.1 0.01 0.23 0.01 0.11 0.23 0.09 0.15 0.00 0.15 0.01 0.18 0.01 8.2 0.01 023 0.04 0.11 0.23 0.08 0.16 0.00 0.15 0.01 0.18 0.01 8.3 0.01 0.24 0.03 0.10 0.23 0.08 0.16 0.00 0.15 0.02 0.18 0.01 8.4 0.01 0.24 0.03 0.10 0.24 0.07 0.16 0.00 0.14 0.02 0.18 0.01 8.5 0.01 0.24 0.03 0.09 0.24 0.07 0.16 0.00 0.14 0.02 0.18 0.01 8.6 0.01 0.24 0.03 0.09 0.24 0.07 0.17 0.00 0.14 0.02 0.18 0.01 8.7 0.01 0.24 0.03 0.08 0.24 0.06 0.17 0.00 0.14 0.02 0.18 0.01 8.8 0.02 0.24 0.02 0.08 0.24 0.06 0.17 0.01 0.13 0.02 0.18 0.00 8.9 0.02 0.24 0.02 0.07 0.24 0.05 0.17 0.01 0.13 0.03 0.18 0.00 9.0 0.02 0.24 0.02 0.07 0.24 0.05 0.17 0.01 0.13 0.03 0.18 0.00 9.1 0.02 0.24 0.02 0.07 0.24 0.05 0.17 0.01 0.13 0.03 0.18 0.00 9.2 0.02 0.24 0.02 0.06 0.23 0.05 0.17 0.01 0 12 0.03 0.18 0.00 9.3 0.03 0.24 0.01 0.06 0.23 0.04 0.18 0.01 0.12 0.03 0.17 0.00 9.4 0.03 0.24 0.01 0.05 0.23 0.04 0.18 0.01 0.12 0.03 0.17 0.00 9.5 0.03 0.24 0.01 0.05 0.23 0.04 0.18 0.01 0.11 0.04 0.1,7 0.00 9.6 0.03 0.24 0.01 0.05 0.23 0.04 0.18 0.01 0.11 0.04 0.17 0.00 9.7 0.03 0.24 0.01 0.04 0.23 0.01 0.18 0.02 0.10 0.04 0.17 0.00 9.8 0.04 0.24 0.01 0.04 0.22 0.03 0.18 0.02 0.10 0.04 0.17 0.00 9.9 0.04 0.24 0.01 0.03 0.22 0.03 0.18 0.02 0.09 0.04 0.17 0.00 10.0 0.04 0.24 0.01 0.03 0.22 0.03 0.18 0.02 0.09 0.05 0.17 0.00 327 TABLES CXXIX. - CXXXII. TABLES CXXIX. ARGUMENTS 24. cxxx. 28. CXXXI. 30. CXXXII. 4. Days. O 1 0 O 1O 2O 3O O 10 Days. O 100 20O 30O D.y». 0.0 0.12 0.20 0.04 010 6.05 0.00 0.05 6.06 Day,. 0 041 o.oi 6.51 6.76 0.1 0.11 0.20 0.04 0.10 0.05 0.00 0.05 0.06 1 0.10 0.01 0.52 0.76 0.2 0.11 0.20 • 0.04 0.10 0.05 0.00 0.04 0.05 2 0.40 0.01 0.5-2 0.75 0.3 0.10 0.20 0.05 010 0.05 0.00 0.04 0.05 3 0.3!) 0.01 0.53 0.75 0.4 0.10 0.20 0.05 0.10 0.05 0.00 0.03 0.05 4 0.38 0.01 0.54 0.75 0.5 0.09 0.20 0.05 0.10 0.05 0.00 0.03 0.04 5 0.37 0.01 0.54 0.74 0.6 0.09 0.20 0.05 0.10 005 0.00 0.03 0.04 6 0.37 0.02 0.55 0.74 0.7 0.08 0.20 0.05 0.10 005 0.00 0.03 0.04 7 0.36 0.02 O.fxi 0.73 0.8 0.08 0.20 0.05 0.10 004 0.00 0.02 0.03 8 0.35 0.0-3 0.56 0.73 0.9 0.07 0.20 0.05 0.10 0.04 0.00 0.02 0.03 9 0.35 0.02 0.57 0.73 1.0 0.07 0.20 0.05 0.10 0.04 0.00 0.02 0.03 10 0.34 0.02 0.58 0.72 1.1 0.07 0.19 0.05 0.10 0.04 0.00 0.02 0.03 11 0.33 0.03 0.58 0.72 1.2 0.06 0.19 0.05 0.10 0.04 0.00 002 0.02 12 0.33 0.03 0.59 0.71 1.3 0.06 0.19 0.06 0.10 0.04 0.00 0.01 0.02 13 0.32 0.03 0.60 0.71 1.4 0.05 0.19 0.06 0.10 0.04 0.00 0.01 0.02 14 0.31 0.03 0.60 0.70 1.5 0.05 0.19 0.06 0.10 0.04 0.00 0.01 0.01 15 0.30 0.04 061 0.70 1.6 0.05 0.18 0.06 0.10 0.04 0.00 0.01 0.01 16 0.30 0.04 0.61 0.69 1.7 0.01 0.18 0.06 0.10 004 0.00 0.01 0.01 17 0.29 0.04 062 0.69 1.8 0.04 0.18 0.06 0.10 0.03 0.00 0.00 0.01 18 0.28 0.05 0.62 0.68 1.9 0.03 0.17 006 0.10 0.03 0.00 0.00 0.00 19 0.28 0.05 0.63 0.68 2.0 0.03 0.17 0.06 0.10 0.03 0.00 0.00 0.00 20 0.27 0.05 0.63 0.67 2.1 0.03 0.17 0.06 0.10 0.03 0.00 0.00 0.00 21 0.26 0.06 0.64 0.67 2.2 0.03 0.16 0.06 0.10 0.03 0.00 0.00 0.00 22 0.26 006 0.64 0.66 2.3 0.02 0.16 0.06 0.10 0.03 0.00 0.00 0.00 23 0.25 0.06 0.65 0.66 2.4 0.02 0.15 0.06 0.10 0.03 0.00 0.00 0.00 24 0.25 0.07 0.65 0.65 2.5 0.02 0.15 O.Ofi 0.10 0.03 0.00 0.00 0.00 25 0.24 0.07 0.66 0.65 2.6 001 0.15 0.06 0.10 0.03 000 0.00 0.00 26 0.24 0.07 0.661 0.64 2.7 0.01 0.14 006 0.10 0.03 0.01 0.00 000 27 0.23 0.08 0.67 0.64 2.8 0.01 0.14 0.07 0.10 003 0.01 0.01 0.00 28 0.23 0.08 0.67 0.63 2.9 0.01 0.13 0.07 0.10 0.03 0.01 0.01 0.00 29 0.22 0.09 6.68 0.63 3.0 0.01 0.13 0.07 0.10 003 0.01 0.01 0.00 30 0.21 0.09 0.68 0.62 3.1 000 0.13 0.07 0.10 0.03 0.01 0.01 0.00 31 0.21 0.09 0.69 0.62 3.2 0.00 0.12 0.07 0.09 0.03 0.01 0.01 0.00 32 0.20 0.10 (Mi!) 0.61 3.3 0.00 0.12 007 0.09 002 0.01 0.02 0.01 33 0.19 0.10 0.70 0.61 3.4 0.00 0.11 0.07 0.09 0.02 0.01 0.02 0.01 34 0.19 0 11 0.70 0.60 3.5 0.00 0.11 0.07 009 0.02 0.01 0.02 001 35 0.18 0.11 0.7 ll 0.60 3.6 0.00 0.10 0.07 0.09 002 0.01 0.02 001 36 0.18 0.12 0.71 0.59 3.7 0.00 0.10 o.o: 0.09 0.03 0.01 0.02 0.01 37 0.17 0.12 0.72 0.59 3.8 0.00 0.09 0.07 0.09 0.02 0.01 0.03 0.02 38 0.17 (>.i:t 0.72 0.58 3.9 0.00 0.09 0.07 0.09 0.02 0.01 0.03 0.02 39 0.16 0.13 0.73 0.58 4.0 0.00 tM 0.07 0.09 0.02 0.01 0.03 0.02 40 0.16 0.14 0.73 0.57 4.1 0.00 0.08 O.OS 0.09 0.02 0.01 o.n:t 0.02 41 0.15 d.l 1 0.73 0.56 4.2 0.00 0.07 O.OS <).<>!) 002 0.01 0.04 0.03 42 0.15 0.15 0.74 0.56 4.3 0.01 0.07 0.08 009 0.03 0.01 0.04 0.03 18 0.14 0.15 0.74 0.55 4.4 0.01 0.06 008 0.09 0.02 0.02 0.05 0.03 44 0.14 0.16 0.74 0.54 4.5 (101 0.06 O.OS 0.0!) 0.02 0.02 0.05 0.04 45 0.13 0.16 0.75 0.54 4.6 (MM 0.00 0.08 0.09 002 o.oa 0.05 0.0 1 46 0.13 0.17 0.75 0.53 4.7 0.01 0.05 0.08 0.09 002 002 0.06 0.04 47 0.12 0.17 0.75 0.52 l.s 0.02 0.05 0.08 0.09 0.01 0.02 0.06 0.05 48 0.12 0.18 0.76 0.52 4.9 0.02 0.0 1 008 0.0!) 0.01 0.02 0.07 0.05 49 0.11 0.18 0.76 0.51 5.0 0.02 0.04 0.08 0.0!) 0.01 0.02 0.07 0.05 50 0.11 0.19 0.76 0.50 328 TABLES CXXIX. - CXXXII. TABLES CXXIX. ARGUMENTS 24. cxxx. 28. CXXXI. 3O. CXXXII. 4. Days. O 1O O 1O 20 3O O IO Days. O 10O 2OO 3OO Buys. 5.0 0.02 6.04 0.08 009 6.01 6.02 6.07 6.05 Ito%s. 50 0 11 0.19 0.76 1 0.50 5.1 o.os 0.04 0.08 0.09 0.01 0.02 0.07 0.05 51 0.10 0.19 0.77' 0.50 5.2 0.03 0.03 0.08 0.09 0.01 0.02 0.07 0.06 52 0.10 0.20 0.77 0.49 5.3 0.03 0.03 0.08 008 0.01 0.02 0.08 0.06 53 0.09 0.20 0.77 0.48 5.4 0.03 0.02 0.08 0.08 0.01 0.02 0.08 0.07 54 0.09 0.21 0.77 0.48 - 5.5 0.04 0.02 0.08 0.08 0.01 0.02 0.08 0.07 55 0.08 0.22 0.77 0.47 5.6 0.04 0.02 0.09 0.08 001 0.02 0.08 0.07 56 0.08 0.22 0.78 0.46 5.7 0.04 0.02 0.09 0.08 001 0.02 0.09 0.08 57 0.07 0.23 0.78 O.J6 5.8 0.05 0.01 0.09 0.08 001 0.02 0.09 0.08 58 0.07 0.24 0.78 0.45 5.9 0.05 0.01 0.09 0.08 0.01 0.02 0.10 0.09 59 0.07 0.24 0.78 0.44 6.0 0.06 0.01 0.09 0.08 0.01 0.03 0.10 0.09 60 0.06 0.25 0.78 0.44 6.1 0.06 0.01 0.09 0.08 0.01 0.03 0.10 0.09 61 0.06 0.26 0.79 0.43 6.2 0.06 0.01 0.09 0.08 0.01 0.03 0.10 0.09 62 0.05 0.26 0.79 0.42 6.3 0.07 0.00 0.09 0.08 0.01 0.03 0.11 0.10 63 0.05 0.27 0.79 0.42 6.4 0.07 0.00 0.09 0.08 0.01 0.03 0.11 0.10 64 0.05 0.27 0.79 0.41 6.5 0.08 0.00 0.09 0.08 0.01 0.03 0.11 0.10 65 0.04 0.28 079 0.40 6.6 0.08 0.00 0.09 0.08 0.01 0.03 0.11 0.10 66 0.04 0.28 0.79 0.40 6.7 0.09 0.00 0.09 0.08 0.01 0.03 0.11 0.10 67 0.04 0.29 0.79 0.39 6.8 0.09 0.00 0.09 0.07 0.00 0.03 0.12 0.11 68 0.03 0.30 0.80 0.38 6.9 0.10 0.00 0.09 0.07 0.00 0.03 0.12 0.11 69 0.03 0.30 0.80 0.37 7.0 0.10 0.00 0.09 0.07 0.00 0.03 0.12 0.11 70 0.03 0.31 0.80 0.37 7.1 0.10 0.00 0.09 0.07 0.00 0.03 0.12 0.11 71 0.02 0.31 0.80 0.36 7.2 0.11 0.00 0.09 0.07 0.00 0.03 0.12 0.11 72 0.02 032 0.80 0.35 7.3 0.11 0.00 0.09 0.07 0.00 0.04 0.12 0.12 73 0.02 0.33 0.80 0.35 7.4 0.12 0.00 0.09 0.07 0.00 0.04 . 0.12 0.12 74 0.02 0.33 0.80 0.34 7.5 0.12 0.00 0.09 0.07 0.00 0.04 0.12 0.12 75 0.02 0.34 0.80 0.33 7.6 0.12 .0.00 0.09 0.07 0.00 004 0.12 0.12 76 0.01 0.34 0.80 0.33 7.7 0.13 0.00 0.09 0.07 0.00 0.04 0.12 0.12 77 0.01 0.35 0.80 0.32 7.8 0.13 0.01 0.10 0.07 0.00 0.04 0.12 0.12 78 0.01 0.36 0.80 0.31 7.9 0.14 0.01 0.10 0.07 0.00 0.04 0.12 0.12 79 0.01 0.36 0.80 0.31 8.0 0.14 0.01 0.10 0.07 0.00 0.04 0.12 0.12 80 0.01 037 0.80 0.30 8.1 0.15 0.01 0.10 0.07 0.00 0.04 0.12 0.12 81 0.01 0.38 0.80 0.29 8.2 0.15 0.01 0.10 0.07 0.00 0.04 0.11 0.12 82 0.00 0.39 0.80 0.29 8.3 0.16 0.02 0.10 0.06 000 0.04 0.11 0.12 83 0.00 0.40 0.80 0.28 8.4 0.16 0.02 0.10 0.06 0.00 0.04 0.11 0.11 84 0.00 040 0.80 0.28 8.5 0.16 0.02 0.10 006 0.00 0.04 0.11 0.11 85 0.00 0.41 0.80 0.27 8.6 0.17 0.03 0.10 0.06 0.00 0.04 0.11 0.11 86 0.00 0.42 0.79 0.26 8.7 0.17 0.03 0.10 0.0(5 0.00 0.04 0.10 0.11 87 0.00 0.42 0.79 0.26 8.8 0.18 0.03 0.10 0.06 0.00 0.05 0.10 0.11 88 0.00 0.43 0.79 0.25 8.9 0.18 0.04 0.10 0.06 0.00 0.05 0.10 0.10 89 0.00 0.44 0.79 0.24 9.0 0.18 0.04 0.10 0.06 0.00 0.05 0.09 0.10 90 0.00 0.44 0.79 0.24 9.1 0.18 0.04 0.10 0.06 0.00 0.05 0.09 0.10 91 0.00 0.45 0.78 0.23 9.2 0.19 0.05 0.10 0.06 0.00 0.05 0.09 0.10 92 0.00 0.46 0.78 0.22 9.3 0.19 0.05 0.10 0.05 0.00 0.05 0.08 0.09 93 0.00 0.47 0.78 0.22 9.4 0.19 0.06 010 0.05 0.00 0.05 f 0.08 0.09 94 0.00 0.47 • 0.78 0.21 9.5 0.19 0.06 0.10 0.05 0.00 0.05 0.08 0.09 95 0.00 0.48 0.77 0.20 9.6 0.19 0.06 0.10 0.05 000 0.05 0.08 0.09 96 0.00 0.48 0.77 0.20 9.7 0.19 0.07 0.10 0.05 000 0.05 0.07 0.08 97 0.00 0.49 0.77 0.19 9.8 0.20 0.07 0.10 0.05 0.00 0.06 0.07 0.08 98 0.01 0.50 0.77 0.18 9.9 0.20 0.08 0.10 0.05 0.00 0.06 0.06 0.07 99 0.01 0.50 0.76 0.18 10,0 0.20 0.09 0.10 0.05 0.00 0.06 0.06 0.07 100 0.01 0.51 0.76 0.17 329 TABLES CXXXIII. - CXXXV. TABLES ARGUMENTS cxxxm. 5. CXXXIV. 12'. CXXXV. Hor. Par. Days. O 10O 2OO 30O 4OO 0 100 Hor. Pur. 0 K 0.20 0.46 6.17 0.50 0.11 6.10 0.07 S'ronifs 3000 If 0.11 i 0.21 0.45 0.18 0.49 0.12 0.10 0.07 3010 0.11 2 0.22 0.44 0.19 0.48 0.13 0.11 0.06 3080 0.11 3 0.23 0.43 0.20 0.47 0.14 0.11 0.06 3030 0.11 4 0.24 0.43 0.20 0.46 0.14 0.12 0.05 3040 0.11 5 0.25 0.42 0.21 0.45 0.15 0.12 0.05 3050 0.11 6 0.26 0.41 0.22 0.44 0.16 0.12 0.05 3060 0.11 7 0.27 0.40 0.23 0.43 0.17 0.12 0.05 3070 0.11 8 0.28 0.39 0.24 0.42 0.18 0.13 0.04 3080 0.11 9 0.29 0.38 0.25 0.42 0.18 0.13 0.04 3090 0.12 10 0.30 0.37 0.26" 0.41 0.19 0.13 0.04 3100 0.12 11 0.31 0.36 0.27 0.40 0.20 0.14 0.03 3110 0.12 12 0.32 0.35 0.28 0.39 0.21 0.14 0.03 3120 0.12 13 0.33 0.34 0.29 0.38 0.22 0.14 0.03 3130 0.12 14 0.34 0.33 0.29 0.37 0.22 0.15 0.02 3140 0.12 15 0.35 0.32 0.30 0.36 0.23 0.15 0.02 3150 0.12 16 0.36 0.31 0.31 0.35 0.24 0.15 0.02 3160 0.12 17 0.37 0.30 0.32 0.34 0.25 0.16 0.02 3170 0.12 18 0.38 0.29 0.33 0.33 0.26 0.16 0.01 3180 0.12 19 0.38 0.29 0.34 0.33 0.27 0.17 0.01 3190 0.13 20 0.39 0.28 0.35 0.32 0.28 0.17 0.01 3200 0.13 21 0.40 0.27 0.36 0.31 0.29 0.17 0.01 3210 0.13 22 0.41 0.26 0.37 " 0.30 0.30 0.18 0.01 3220 0.13 23 0.42 0.25 0.38 0.29 0.31 0.18 0.00 3230 0.13 24 0.43 0.24 0.39 0.28 0.31 0.19 0.00 3240 0.13 25 0.44 0.23 0.40 0.27 0.32 0.19 0.00 3250 0.14 26 0.45 0.22 0.41 0.26 0.33 0.19 0.00 3260 0.14 27 0.46 0.21 0.42 0.25 0.34 0.19 0.00 3270 0.14 28 0.47 0.20 0.43 0.24 0.35 0.20 0.00 3280 0.14 29 0.47 0.20 0.43 0.23 0.36 0.20 0.00 3290 0.14 30 0.48 0.19 0.44 0.22 0.37 0.20 0.00 3300 0.14 31 0.49 0.18 0.45 0.21 0.38 0.20 0.00 3310 0.14 32 0.50 0.17 0.46 0.20 0.39 0.20 0.00 3320 0.14 33 0.51 0.16 0.47 0.19 0.40 0.20 0.00 8880 0.15 34 0.51 0.16 0.47 0.19 0.41 0.21 0.00 3340 0.15 35 0.52 0.15 0.48 0.18 0.42 0.21 0.00 3350 0.15 36 0.53 0.14 0.49 0.17 0.43 0.21 0.00 3360 0.15 37 0.54 0.13 0.50 0.16 0.44 0.21 0.00 :i:i7() 0.15 38 <).:>! 0.13 0.51 0.15 0.45 0.21 0.00 :t:!M> 0.15 39 0.55 0.12 0.51 0.15 0.45 0.21 0.00 3390 0.15 40 0.55 0.12 052 0.14 0.46 0.21 0.01 3400 015 41 0.56 0.11 0.53 0.13 0.47 0.21 0.01 3410 0.15 42 0.57 0.10 0.54 0.12 0.48 0.21 0.01 3420 0.16 43 0 f,7 0.10 0.54 0.11 0.49 0.22 0.01 :m<> 0.16 44 0.58 0.09 0.55 0.11 0.49- 0.22 0.01 3440 0.16 45 0.58 0.09 0.55 0.10 0.50 0.22 0.01 3450 0.16 46 0.59 0.08 0.56 0.09 0.51 0.22 0.01 3460 0.16 47 0.59 0.07 0.57 0.09 0.52 0.22 0.01 3470 0.16 48 0.60 0.07 0.57 0.08 0.53 0.22 0.02 3480 0.17 49 0.60 0.06 <>.f)S 0.08 0.53 0.22 0.02 3490 0.17 50 0.61 0.06 0.58 0.07 0.54 0.22 0.02 3500 0.17 330 TABLES CXXXIII. - CXXXV. TABLES ARGUMENTS CXXXIII. 5. CXXXIV. 12'. CXXXV. Hor. Par. Days. O 1OO 2OO 3OO 4OO O IOO Hor. Par. O' Days 50 0.61 0.06 6.58 0.07 6.54 0.22 0.02 STOIC!?. 3500 6.17 51 0.61 0.05 0.59 0.07 0.55 0.22 0.02 3510 0.17 52 0.61 0.05 0.59 0.06 0.56 0.22 0.02 3520 0.17 53 0.61 0.04 0.60 0.05 056 0.22 0.03 3530 0.17 54 0.62 0.04 0.60 0.05 0.57 0.22 0.03 3540 0.17 55 0.62 0.03 0.61 0.04 0.57 0.22 0.03 3550 0.17 56 0.62 0.03 0.61 0.03 0.58 0.22 003 3560 0.18 57 0.62 0.03 0.61 0.03 0.58 0.22 0.04 3570 0.18 58 0.62 0.03 0.61 0.03 0.59 0.21 0.04 3580 0.18 59 .0.63 0.02 0.62 0.02 0.59 0.21 0.04 3590 0.18 60 0.63 0.02 0.62 0.02 0.60 0.21 0.05 3600 0.18 61 0.63 0.02 0.62 0.02 0.60 0.21 0.05 3610 0.18 62 0.63 0.02 0.62 0.02 0.60 0.20 0.05 3620 0.18 63 0.63 0.02 0.62 0.02 0.61 0.20 0.06 3630 0.19 64 0.63 0.02 0.63 0.01 0.61 0.20 0.06 3640 0.19 65 0.63 0.02 0.63 0.01 0.62 0.19 0.06 3650 0.19. 66 0.63 0.02 0.63 0.01 0.62 0.19 0.06 3660 0.19 67 0.63 0.02 0.63 0.00 0.62 0.19 0.07 3670 0.19 68 0.63 0.02 0.63 0.00 0.62 0.18 0.07 3680 0.19 69 0.62 0.02 0.63 0.00 0.63 0.18 0.08 3690 0.20 70 0.62 0.02 0.63 0.00 0.63 0.18 0.08 3700 0.20 71 0.62 0.02 0.63 0.00 0.63 0.18 0.08 3710 0.20 72 0.62 0.02 0.63 0.00 0.63 0.17 0.09 3720 0.20 73 0.62 0.02 0.63 0.00 0.63 0.17 0.09 3730 0.20 74 0.61 0.03 0.62 0.00 0.63 0.17 0.10 3740 0.20 75 0.61 0.03 0.62 0.00 0.63 0.17 0.10 3750 0.21 76 0.61 0.03 0.62 0.00 0.63 0.16 0.10 3760 0.21 77 0.61 0.03 0.62 0.00 0.63 0.16 0.11 3770 0.21 78 0.60 0.04 0.62 0.00 0.63 0.16 0.11 3780 0.21 79 0.60 0.04 0.61 0.01 0.63 0.15 0.12 3790 0.21 80 0.59 0.05 0.61 0.01 063 0.15 0.12 3800 0.21 81 0.59 0.05 0.61 0.01 0.62 0.15 0.12 3810 0.21 82 0.58 0.06 0.61 0.01 0.62 0.14 0.13 3820 0.22 83 0.58 0.06 0.60 0.02 0.62 0.14 0.13 3830 0.22 84 0.57 0.07 0.60 0.02 0.62 0.13 0.14 3840 0.22 85 0.57 0.07 0.59 0.03 0.61 0.13 0.14 3850 0.22 86 0.56 0.08 0.59 0.03 0.61 0.13 0.14 3860 0.22 87 0.55 0.09 • 0.58 0.03 0.61 0.12 0.15 3870 0.23 88 0.55 0.09 0.58 0.04 0.61 0.12 0.15 3880 0.23 89 0.54 0.10 0.57 0.04 0.60 0.11 0.16 3890 0.23 90 0.54 0.10 0.57 0.05 0.60 0.11 0.16 3900 023 91 0.53 0.11 0.56 0.05 0.60 0.11 0.16 3910 0.23 92 0.52 0.12 0.55 0.06 0.59 0.10 0.17 3920 0.23 93 0.51 0.12 0.55 0.06 0.59 0.10 0.17 3930 0.24 94 0.51 0.13 0.54 0.07 0.58 0.09 0.18 3940 024 95 0.50 0.13 0.54 0.07 0.58 0.09 0.18 3950 0.24 96 0.49 0.14 0.53 0.08 0.57 0.09 0.18 3960 0.24 97 0.48 0.15 0.52 0.09 0.56 0.08 0.18 3970 0.24 98 0.47 0.16 0.51 0.10 0.56 0.08 0.19 3980 0.25 99 0.47 0.17 0.51 0.10 0.55 0.07 0.19 3990 0.25 0.46 0.17 0.50 O.lll 0.55 0.07 0.19 4000 0.25 331 TABLE CXXXVI. ARGUMENT, Horizontal Parallax. Hor. Par 0 1000 2OOO" 3OOO" Hor. Par O" 10OO" 2OOO" 3OOO" 6' o.oo 272.27 544.55 816.82 500 136.14 408.41 680.69 952.96 10 2.72 274.99 547.27 819.54 510 138.86 411.13 683.41 955.68 20 5.45 277.72 549.99 822.27 520 141.58 413.85 686.13 958.40 30 8.17 28*0.44 552.72 824.99 530 144.31 416.58 688.86 961.13 40 10.89 283.17 555.44 827.72 540 147.03 419.30 691.58 963.85 50 13.61 285.89 558.16 830.44 550 149.75 422.02 694.30 966.57 60 16.33 288.61 560.88 833.16 560 152.47 424.74 697.02 969.29 70 19.06 291.33 563.60 835.88 570 155.19 427.47 699.74 972.02 80 21.78 294.06 566.33 838.61 580 157.92 430.19 702.47 974.74 90 24.51 296.78 569.05 841.33 590 160.64 432.92 705.19 977.47 100 27.23 299.50 571.77 844.05 600 163.36 435.64 707.91 980.19 110 29.95 302.22 574.49 846.77 610 166.08 438.36 710.63 982.91 120 32.67 304.95 577.22 849.49 620 168.81 441.08 713.36 985.63 130 35.40 307.67 579.94 852.22 630 171.53 443.81 716.08 988.36 140 38.12 310.40 582.67 854.94 640 174.26 446.53 718.81 991.08 150 40.84 313.12 585.39 857.66 650 176.98 449.25 721.53 993.80 160 43.56 315.84 588.11 860.38 660 179.70 451.97 724.25 996.52 170 46.28 318.56 590.83 863.11 670 182.42 454.70 726.97 999.24 180 49.01 321.29 593.56 865.83 680 185.15 457.42 729.70 1001.97 190 51.73 324.01 596.28 868.56 690 187.87 460.15 732.42 1004.69 200 54.45 326.73 599.00 871.28 700 190.59 462.87 735.14 1007.41 210 57.17 329.45 601.72 874.00 710 193.31 465.59 737.86 1010.13 220 59.90 322.17 604.45 876.72 720 196.04 468.31 740.58 1012.86 230 62.62 334.90 607.17 879.45 730 198.76 471.04 743.31 1015.58 240 65.35 337.62 609.90 882.17 740 201.49 473.76 746.03 1018.31 250 68.07 340.34 612.62 884.89 750 204.21 476.48 748.75 1021.03 260 70.79 343.06 615.34 887.61 760 206.93 479.20 751.47 1023.75 270 73.51 315.79 618.06 890.33 770 209.65 481.92 754.20 1026.47 280 76.24 348.51 620.79 893.06 780 212.38 484.65 756.92 1029.20 290 78.96 351.24 623.51 895.78 790 215.10 487.37 759.65 1031.92 300 81.68 353.96 626.23 898.50 800 217.82 490.09 762.37 1034.64 310 84.40 356.68 628.95 901.22 810 220.54 492.81 765.09 1037.36 320 87.13 359.40 631.67 903.95 820 223.26 495.54 767.81 1040.08 330 89.85 362.13 634.40 906.67 830 225.99 498.26 770.54 1042.81 310 92.58 364.85 637.12 909.40 840 228.71 500.99 773.26 1045.53 350 95.30 367.57 639.84 912.12 850 231.43 503.71 775.98 1048.25 360 98.02 370.29 642.56 914.84 860 234.15 506.43 778.70 1050.97 370 100.74 373.01 645.29 917.56 870 236.88 509.15 781.42 1053.70 380 1 0.-i. 17 878.741 648.01 920.29 880 239.60 511.88 784.15 1056.42 390 106.19 378.46 650.74 923.01 890 242.33 514.60 786.87 1059.15 400 108.91 381.18 653.46 925.73 900 245.05 517.32 789.59 1061.87 410 111.63 383.90 656.18 928.45 910 247.77 520.04 792.31 1064.59 420 I14J5 386.63 658.90 931.18 920 250.49 522.76 795.04 1067.31 480 117.0S 389.35 661.63 933.90 930 253.22 525.49 797.76 1070.04 111) 1 19.80 392.08 664.35 936.63 940 255.94 528.21 800.49 1072.76 450 nsja 394.80 667.07 939.35 950 258.66 530.93 803.21 1075.48 400 T,!.VJI 397.52 669.79 942.07 960 261.38 533.65 805.93 1078.20 no I27.!)7 400.24 672.52 944.79 970 264.10 536".38 808.65 1080.93 HO 180.69 402.97 675.24 947.52 980 266.83 539.10 811.38 1083.65 IM 188.42 405.69 677.97 950.24 990 269.55 541.83 814.10 1086.38 BOO 188.14 408.41 680.69 952.96 1000 272.27 54 1.55 81(i.H2 1089.10 332 The Latitude = A sin y -|- B cos y -f- C, as given on page 12, Introduction, may be put in the form, Latitude = 18500" sin y -\- A1 sin y -f B cos y + G, in which A' only diflers from A in that the constant 900" is subtracted instead of the constant 17600" added. Com- pute 18500" sin y for each noon and midnight from Table CXXXVII. ; compute A1 sin y + B cos y -f- C'for each noon, using five place decimals, and interpolate to midnight. In Table CXXXVII., the columns headed P. P. are the proportional parts for the seconds of y. TABLE CXXXTII. ARGUMENT 77. Equation = 18500" sin y. y 18O°— 0°+ 181°— r+ i ssr— S°+ 183°— 3°+ 184°— 4°+ 185°— 5°+ !/ Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p. P. d 0 0 0.00 O.l HI 0° 5 22'.87 6".oo 0 t M 0 10 45.64 0.00 0°16 8.22 6'.oo 0 2l' 30,19 0.00 II 21. o.do 60 i 0 5.38 0.09 5 28.25 0.09 10 51.02 0.09 16 1360 0.09 21 35.86 0.09 26 57.74 0.0!) 69 2 0 10.76 0.18 5 33.63 0.18 10 56.40 0.18 16 18.98 0.18 21 41.23 0.18 27 3.1H 0.1* 58 3 0 16.14 OJJ7 5 39.01 0.27 11 1.78 0.27 16 24.35 0.27 21 46.60 0.27 27 8.46 0.27 57 4 0 21. .'2 0.36 5 44.39 o.:*6 11 7.16 0.36 16 29.72 0.36 21 51.97 (1.36 27 13.i-2 H.:'.6* 2.51 7 53.51 2.51 13 16.22 2.51 18 3*. 4 2.16 4.04 9 24.96 4.04 14 47.60 4.1)4 20 9.9< 4.03 25 31.95 4.03 30 53.48 4.02 15 46 0 4 7.51 4.13 0 9 3(1.31 4.13 0 14 529- 4.13 0 20 15.33 4.12 0 25 37.32 4.11 0 30 5- -4 4.1(1 14 47 4 12.92 4.22 9 :!572 4.22 14 58.36 4.22 20 2(1.70 4.21 19.68 420 31 421 4.19 13 1- 4 1- 4.31 9 41.10 4.31 15 3.74 4.31 20 26.07 4.3(1 25 48.04' 4.2!) 31 9.55 4.2- 12 49 4 23.68 4.40 9 46.48 4.40 15 9.11 4.40 20 31.11 4.39 25 53 HI 4.38 31 14.90 4.37 11 E i i 9Mn 4.48 9 51.86 4.48 15 14.48 4.48 20 36.81 4.47 25 5*.76 4.47 31 211.2.- 4.46 10 :,i 0 4 34.45 4.57 0 9 57.24 4.57 0 15 19.86 4.57 0 20 42.16 4.56 0 26 4 13 4.56 0 31 25.61 4.55 9 :,-.' 4 39.83 466 10 2.62 4.66 15 25.24 4.66 20 47.5.- 4£t 2li 9,19 4.65 31 30.97 4.64 8 N 4 45.21 4.75 10 *OI 4.75 15 3 Mil 4.75 20 52.92 4.74 96 M - 4.74 31 36.32 473 7 54 4 5.1.5. 1 -1 10 13.3.- 1 -1 15 35.96 1 -1 20 5-29 1 -:; 26 2021 I 33 31 41 67 4*2 6 H 4 55.97 i:>3 10 lr.75 4.93 15 ll .::: 4.93 21 3.65 4.92 2(, 96.61 1.92 31 47.02; 4.91 5 56 0 5 l.r 5.02 0 10 24.13 5.02 0 15 46.7: 5.02 0 21 9.02 5.111 0 26 3094 501 o 31 52.38 5.00 4 B7 5 6.73 5.11 ID 29.51 5.11 15 52 II 511 21 14 39 5 10 21, 36.311 5.|o 31 57.73 6.08 3 1 <>8 .-. rj ii 5 2 > 10 34 - 5JH 15 57 1- 21 19.76 5 19 26 41.66 5.19 32 30- 5. 1 - 2 :,'i 5 17.4! 5.29 in lo '.'7 5.29 . 16 8.85 52> 21 2513 52- 21, I7i>2 5.2- 32 - I" 5.27 1 1,1 5 22.H7| 5.38 10 45.64 5.38 16 8.22 .-..:;- 21 30.49' 5.37 26 53.38 5.37 32 13.78 5.36 0 179'+ 178°+ 177°+ 176'+ I7.T+ 174°+ .'/ 3.19°— 338°— 337'— 3.16°— 3.15°- 3.11°— y 334 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin jf. 18G°— 187°— 188°— 189°— 19O°— 191°— y 6°+ 7°+ 8°+ 9°+ 10°+ 11°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. d 0° 32 1378 o!bo 0 37 34".58 0.00 0 42' 54".70 0.00 0 48 14".03 0.00 O 1 tl 0 53 32.49 0.00 0 58 49.97 o!bo 60 i 32 19.14 0.09 37 39.92 0.09 43 0.03 0.09 48 19.35 0.09 53 37.79 0.09 58 55.26 0.09 59 2 32 24.49 0.18 37 45.26 0.18 43 5.36 0.18 48 24.67 0.18 53 43.09 0.18 59 0.54 0.18 58 3 3'2 29.84 0.27 37 50.60 0.27 43 10.69 0.27 48 29.98 0.27 53 48.39 0.27 59 5.82 0.27 57 4 32 35.19 0.36 37 55.94 0.36 43 16.02 0.36 48 35.29 0.36 53 53.69 0.36 59 11.10 0.36 56 5 32 40.54 0.45 38 1.28 0.45 43 21.34 0.45 48 40.60 0.45 53 58.99 0.45 59 16.38 0.44 55 6 0 32 45.89 0.53 0 38 662 0.53 0 43 26.67 0.53 0 48 45.92 0.53 0 54 4.29 0.53 0 59 21.66 0.53 54 7 3-2 51.24 0.62 38 11.96 0.62 43 32.00 0.6-2 48 51.24 0.62 54 9.59 0.62 59 S-G.'. 4 0.62 53 8 32 56.59 0.71 38 17.30 0.71 43 37.33 0.71 48 56.55 0.71 54 14.89 0.71 59 32.22 0.71 52 9 33 1.94 0.80 38 22.64 0.80 43 42.66 0.80 49 1.86 0.80 54 20.19 0.80 59 37.50 0.79 51 10 33 7.29 0.89 38 27.98 0.89 43 47.98 0.89 49 7.17 0.89 54 25.48 0.88 59 42.78 0.88 50 11 0 33 1-2.64 0.98 0 38 33.32 0.98 0 43 53.31 0.98 0 49 12.49 0.98 0 54 30.78 0.97 0 59 48.06 0.97 49 12 33 17.99 1.07 38 38.66 1.07 43 58.64 1.07 49 17.80 1.07 54 36.08 J.06 59 53.34 1.06 48 13 33 23.34 1.16 38 44.00 1.16 44 3.97 1.16 49 23.11 1.16 54 41.38 1.15 59 58.62 1.15 47 14 33 2^.69 1.25 38 49.31 .25 44 9.29 1.25 49 28.42 1.25 54 46.67 1.24 1 0 3.90 1.23 46 15 33 34.04 1.34 38 54.68 .34 44 14.61 1.34 49 33.73 1.34 54 51.96 1.33 0 9.18 1.32 45 16 0 33 39.39 1.42 0 39 0.02 .42 0 44 19.94 1.42 0 49 39.04 1.42 0 54 57.26 1.41 1 0 14.46 1.41 44 17 33 4474 1.51 39 5.36 .51 44 25.27 1.51 49 44.35 1.51 55 2.56 1.50 0 19.74 1.50 43 18 33 50.09 1.60 39 10.70 .6,) 44 30.60 1.60" 49 49.66 1.60 55 7.85 1.59 0 25.H2 1.58 42 19 33 55.44 1.69 39 16.J4I .69 44 35.:>-2 1.6.) 4J 54.97 1.6U 55 1U.14 1.6c 0 ;:,.~. 1.67 41 20 34 0.78 1.7d 39 21.37 .78 44 41.24 1.77 50 0.28 1.77 55 18.43 1.76 0 35.56 1.76 40 21 0 34 6.23 1.87 0 39 26.71 1.87 0 44 4U.57 1.86 0 50 5.51; 1.86 0 55 23.73 1.85 1 0 40.84 1.85 39 22 34 11.58 1.96 39 32.05 1.96 44 51.90 1.95 50 10.90 1.95 55 29.03 1.94 0 46.12 1.94 38 23 34 16-93 2.05 39 37.39 2.05 44 57.22 2.04 50 16.21 2.04 55 3432 2.03 0 SI-.40 o 03 37 24 34 22.28 2.14 3J 42.72 2.14 45 2.54 2.13 50 21.52 2.13 f5 39.61 2.12 0 uO.67 2.11 30 25 34 27.52 2.23 39 48.05 22.J 45 7.86 2.22 50 26.83 222 55 44.1>0 2.21 1 1.P4 2.2! 35 26 0 34 32.88 2.31 0 39 53.39 2.31 0 45 13.19 230 0 50 32.14 2.30 0 55 £0.20 2.29 1 1 7.92 999 T4 > 27 34 38.2:i 2.40 39 58.731 2.40 45 18.51 2.39 50 37.45 2.39 55 55.49 X 'A? i 12.;.,, fc.oS b3 28 34 43.58 249 40 4.07 2.49 45 23.83 2.48 50 42.76 2.48 56 0.78 2.47 1 17.77 2.46 32 29 34 48.92 2.58 40 9.40 2.58 45 29.15 2.57 50 48.07 2.57 56 6.07 2.56 1 23.04 2.55 31 30 34 54.26 2.67 40 14.73 2.67 45 34.47 2.66 50 53.37 2.66 56 11.36 2.65 1 28.31 2.64 30 31 0 34 59.61 2.76 0 40 20.07 2.76 0 45 39.8 . 2.75 0 50 58.68 2.75 0 56 166.' 274 1 1 P5.5S. £.73 29 32 35 4. .16 •2.85 4j 25.41 2.85 45 45.1, 2.84 51 3.99 2.84 56 Wl.1'4 a.o3 1 38.S6 2.o2 28 33 35 10.31 2.94 40 30.75 2.94 45 50.44 2.93 51 9.30 2.93 56 27.23 2.92 1 4413 2.91 27 34 35 15.65 3.03 40 3608 3.03 45 55.7o 3.02 51 14.61 3.02 56 32.52 3.01 1 49.40 3.00 26 35 35 20.99 3.12 40 41.41 3.12 46 1.08 3.11 51 19.91 3.11 56 37.81 3.10 1 54.67 3.09 25 36 0 35 2634 3.21 0 40 46.75 3.20 0 46 6.4 „ 3.19 0 51 25.22 3.19 0 56 43.10 3.19 1 1 59.95 3.18 24 37 35 31.69 3.30 40 52.09 3.29 46 11.72 3.28 51 30.53 3.27 56 48.39 3.27 2 522 3.27 23 38 35 37.04 3.39 40 57.42 3.38 46 17.04 3.37 51 35.84 3.36 56 53.68 3.36 2 10.49 3.35 £2 39 35 42.38 348 41 275 3.47 46 22.36 3.46 51 41.14 3.45 CG 58.97 3.45 2 15.76 3.43 21 40 35 47.72 3.57 41 8.U8 3.56 46 27.68 3.55 51 46.44 3.54 57 4.26 3.03 2 21.03 3.51 20 41 0 35 53.07 3.66 0 41 13.42 3.65 0 46 33.00 3.64 0 51 51.75 3.63 0 57 9.55 3.62 1 2 26.30 3.60 19 42 35 58.42 3.75 41 18.75 3.74 46 38.32 • 3.73 51 57.06 3.72 57 14.84 3.71 2 31.57 3.69 18 43 36 3.76 3.84 41 24.08 3.83 46 43.64 3.82 52 2.36 3.81 57 20.13 3.79 2 36.84 3.57 17 44 36 9.10 3.93 41 29.41 3.92 46 48.!»6 3.91 52 7.66 3.90 57 25.42 3.68 2 42.11 3.66 16 45 36 14.44 4.02 41 34.74 4.01 46 54.28 4.00 52 12.96 3.99 57 30.70 3.97 2 47.38 3.95 15 46 0 36 19.79 4.10 0 41 40.08 4.09 0 46 59.60 4.08 0 52 18.27 4.07 0 57 35.91 4.05 1 2 52.65 4.04 14 47 36 25.14 4.19 41 45.41 4.18 47 4.92 4.17 52 23.58 4.16 57 41.28 4.14 2 57.92 4.13 13 48 36 30.48 4.28 41 50.74 4.27 47 10.24 4.26 52 28.88 4.25 57 46.57 4.23 3 3.19 4.22 12 49 36 35.82 4.37 41 56.07 4.36 47 15.56 4.35 52 34.18 4.34 57 51.85 4.32 3 8.46 4.31 11 50 36 41.16 4.46 42 1.40 4.45 47 20.87 4.43 52 39.48 4.43 57 57.13 4.41 3 13.72 4.39 10 51 0 36 46.51 4.55 0 42 6.73 4.54 0 47 26.19 4.52 0 52 44.79 4.52 0 58 2.42 4.50 1 3 18.99 4.48 9 52 36 51.85 4.64 42 12.06 4.63 47 31.51 4.61 52 50.09 4.61 58 7.71 4.59 3 24.26 4.57 8 53 36 57.19 4.73 42 17.3'J 4.72 47 36.83 4.70 52 55.39 4.70 58 12.99 4.68 3 29.53 4.65 7 54 37 ;2.53 4.82 42 22.72 4.81 47 42.14 4.79 53 0.69 4.79 58 18.27 4.77 3 34.79 4.74 6 55 37 7.87 4.91 42 28.05 4.90 47 47.45 4.88 53 5.99 4.88 58 23.55 4.85 3 40.05 4.83 5 56 0 37 13.22 4.99 0 42 33.36 4.98 0 47 52.77 4.% 0 53 11.29 4.96 0 58 28.84 4.94 1 3 45.32 4.92 4 57 37 18.56 5.08 42 38.71 5.07 47 58.0'J 5.05 53 16.59 5.05 58 34.13 5.03 3 50.59 5.01 3 58 37 23.90 5.17 42 44.04 5.16 48 3.41 5.14 53 21.89 5.14 58 39.41 5.12 3 55.85 5.09 2 59 37 29.24 5.26 42 49.37; 5.25 48 8.72 5.23 53 27.19 5.23 58 44.69 5.20 4 1.11 5.18 1 60 37 34.58 5.35 42 54.70 5.34 48 14.03 5.32 53 32.491 5.31 58 49.97 5.29 4 6.37 5.27 0 173°+ 172°+ 171°+ I7O°+ 169°+ 168°+ y 353°— 352°— 351°- 35O°— 349°— 348°— y 335 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin g. 192° - 193°— 194°- 195"- 196°— 197° y ia°+ 13°+ 14°+ 15°+ 16°+ 17°+ y \ Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. 0 1° 4 6".37 o'.oo f tf 21.59 o".oo 1° 14' 35.55 0.00 1° 19 48'.17 6'.oo 1° 24 59.29 0.00 130 :.-- 0.00 60' 1 4 11.64 0.09 9 26.84 0.09 14 40.77 0.09 19 53.37 0.09 25 4.47 0.09 30 14.03 0.0!) 50 2 4 16.90 0.18 9 32.08 0.18 14 45.99 0.18 19 58.57 0.18 25 0.61 0.18 30 10. 1* 0.1- 58 3 4 22.16 0.27 9 37.32 0.26 14 51.21 0.26 20 3.77 0.26 25 14.81 0.26 30 24.32 0.26 57 4 4 27.42 0.36 9 42.56 0.35 14 56.43 0.34 20 8.97 0.35 25 19.98, 0.34 30 29.46 0.34 56 5 4 32.68 0.44 9 47.80 0.43 15 1.65 0.43 20 14.16 0.43 25 25.15 0.43 30 34.60 0.43 55 6 1 4 37.95 0.53 1 9 53.04 0.52 1 15 6.87 0.51 1 20 19.36 0.52 1 25 30.32 0.52 1 30 3! 1.75 0.52 54 7 4 43.21 0.62 9 58.28 0.61 15 12.09 0.60 20 24.56 0.61 25 35.49 0.61 30 44.8!) 0.60 53 8 4 48.47 0.71 10 3.52 0.69 15 17.31 0.69 20 207.1 0.69 25 40.66 0.69 30 50.03 0.69 59 9 4 53.73 0.79 10 8.76 0.78 15 22.53 0.78 20 34.94 0.77 25 45,-:! 0.77 30 55.17 0.7* 51 10 4 58.99 0.88 10 14.00 0.87 15 27.74 0.87 20 40.13 0.86 25 51.00 0.86 31 0.31 0.86 50 11 1 5 4.25 0.97 1 10 19.24 0.96 1 15 32.96 0.96 1 20 45.32 0.94 1 25 56.17 0.94 1 31 5.45 0.94 49 12 5 9.51 .06 10 24.48 1.05 15 38.18 1.04 20 50.51 1.03 26 1.34 1.03 31 10.59 1.02 48 13 5 14.77 .15 10 29.72 1.14 15 43.40 1.13 20 55.70 1.12 26 6.51 1.12 31 15.73 1.11 47 14 5 20.03 .33 10 34.96 1.23 15 4*. 62 1.22 21 0.89 1.21 26 11.67 1.20 31 20.87 1.20 46 15 5 25.29 .32 10 40.20 1.31 15 53.83 1.30 21 6.08 1.30 26 16.83 1.29 31 26.01 1 .2* 45 16 1 5 30.55 .41 1 10 45.44 1.40 1 15 59.05 1.38 1 21 11.27 1.39 1 26 22.00 1.38 1 31 31.15 1.36 44 17 5 35.81 .49 10 50.68 1.48 16 4.27 1.47 21 16.46 1.47 2627.17 1.46 31 36.29 1.4.1 43 18 5 41.07 .58 10 55.92 1.57 16 9.49 1.56 21 21.65 1.56 26 32.33 1.54 31 41.45 1.53 42 19 5 46.33 .67 11 1.16 1.66 16 14.70 1.65 21 26.84' 1.65 26 37.49 1.63 31 46.57 168 41 20 5 51.58 .75 11 6.39 1.74 16 19.91 1.74 21 32.03 1.73 26 42.65 1.72 :n 51.71 1.71 40 21 1 5 50.84 1.84 l 11 in;:! 1.82 1 16 25.13 1.82 1 21 37.22 1.82 1 26 47.82 1.80 1 31 56.84 1.80 39 22 6 2.10 1.93 11 16.87 1.91 16 30.35 1.90 21 42.41 1.90 26 52.00 1133 32 i v- 1.88 38 23 6 7.36 2.01 11 22.11 2.00 16 35.56 1.99 21 47.60 1.99 26 5H.I5 1.07 32 7.1 a 1.07 37 24 6 12.61 2.10 11 27.34 2.0!) 16 40.77 2.07 21 52.79 2.07 27 3.31 2.116 32 12.25 2.06 36 25 6 17.86 2.19 11 32.57 2.18 16 45.98 2.16 21 57.97 2.16 27 8.47 2.15 32 17.38 2.11 36 26 1 6 23.12 2.28 1 11 37.81 2.26 1 16 51.19 2.25 1 22 3.16 2.24 1 27 13.64 2.23 1 32 22.52 2.23 34 I 27 6 2-).3-< 2.37 11 43.04 US 16 56.40 2.33 22 8.45 2.33 27 !*,-() 2.32 32 27.66 2.32 33 28 6 33.63 2.45 11 48.27 2.44 17 1.61 2.42 22 13.54 2.42 27 23.06 2.41 32 32.80 2.40 32 2!) 6 38.88 2.54 11 53.50 853 17 6.82 2.51 22 18.73 2.51 27 20.12 2.49 32 37.93 2.49 31 30 6 44.13 2.63 11 58.73 2.62 17 12.03 2.60 22 23.91 2.50 27 34.28 2.58 32 43.06 2.57 30 31 1 6 49.39 2.72 1 12 3.96 2.70 1 17 17.24 2.68 1 22 29.10 2.67 1 27 39.44 2.66 1 32 48.20 2.66 99 32 6 54.64 2.81 12 9.19 2.79 17 22.45 2.77 22 34.29 2.76 27 44.6(1 2.75 32 53 33 a.7.1 2* 33 6 59.89 2.90 12 14.42 2.87 17 27.66 2.86 22 394* 2.*4 27 49.76 2-4 ::'.' 58.46 2 - 1 27 34 7 5.14 2.!)!) 12 19.65 2.96 17 32.87 2.05 22 4466 2.03 27 54.92 2.02 33 3.59 2.!'2 96 35 7 J0.39 3.07 1224.88 3.04 17 38.07 3.03 22 49.84 3.02 28 0.07 3.01 33 b'.72 3.00 25 36 1 7 15.65 3.16 I 12 30.11 3.13 1 17 43.28 3.12 1 22 55.03 3.11 1 28 5.23 3.00 1 33 13..-5 3.1,0 24 37 7 2H.90 3.2.1 12 35.34 3.22 17 48.49 3.21 23 0.21 3.1! 28 10.39 3.18 33 1*.'.'* 3.18 93 38 7 26.1.1 3.33 12 4057 3.31 17 53.70 3.30 23 5.39 3.28 28 15.55 3-.M 33 24.11 326 22 3!) 7 31.4(1 Ml 12 l.l.-iil 3.40 17 58.91 3.30 23 10.57 3.36 28 20.70 3.38 33 20.24 3.34 21 40 7 36.6.1 3.50 12 51.03 3.49 18 4.11 3.47 23 15.75 3.45 28 25.85 3.44 33 34.36' 3.42 20 41 1 7 41.00 3.59 1 12 56.26 3.58 1 18 9.32 3.55 1 23 20.93 3.54 1 28 31.01 3.5-. 1 33 30.40 3.50 19 42 7 47.15 3.68 13 1.49 3.66 18 14.53 3.64 23 26.1 1 s.« 28 36.17 3.61 33 44.62 350 18 43 7 52,10 8.76 13 6.72 3.75 18 19.74 373 at HI .2! 3.6! 28 41.33 3.71 33 49.7.1 36- 17 44 7 57.6.1 3.85 13 11.95 3.84 18 24.94 3.82 at 3647 3.77 2.- 46 1- 3178 33 54r7 3.77 16 45 8 2.90 3.94 13 17.18 3.92 18 30.14 3.91 23 41.65 3.86 2* 51.63 3.87 33 50.0!) 3 -:. 15 46 1 8 8.15 4.03 1 13 22.41 4.01 l 18 :r>.:i5 3.0: 1 23 46.83 3.0." 1 2- 56.7! 3.o< 1 34 5.12 3 : 1 14 47 8 13.40 4.11 i:i -'7.1,1 LOB 1* 40,K 4(i- 23 52111 4.04 20 1.95 4.04 31 1(1,25 4.l'2 13 IB 8 18.65 4.20 13 32-7 4.18 1- 15.71 4.17 •.':: 57 r. 4.1: 29 7.10 4.1! 34 15.37 4.11 12 49 8 2.1.! li 4.29 1:1 36 M 4.27 1- : 4.26 24 2.37 4.22 20 1225 4.21 31 211.49 4.2H 11 u - - ' 1 1 4.38 13 43.32 4.36 18 .Ki.lG 4.34 24 7.54 4.31 29 17.40 4.30 34 25.61 4.2* 10 51 1 8 :u.:i: 4.47 1 13 4-5: 4.44 1 IP 1.37 4.42 1 24 1272 4.40 1 29 22 5: 4.:« 1 31 3(1.74 4.37 9 52 8 39.64 4.55 13 53.7* .1.53 111 (i.57 4.51 24 17.!K) 4 r 20 277H 4 1- 34 35.H6 4.4.1 8 BO - II - 4.64 13 5!UHI 4.1,2 111 11.77 46' 21 23HM 4,1* 20 32,-5 1 57 34 40.9* 451 7 51 4.73 14 422 .17, 10 16.07 46- 24 28.25 4 m 20 ::- mi 46i : I 46 Id 462 6 E6 8 55.37 l.-l 14 '.'II 17- 19 22.17 477 21 33.4S 17: 2'.i 43.15 4.74 34 51.2-,' 4.71 5 56 1 0 06S 4.90 1 14 14 117 1 -7 1 10 27.37 l.-l 1 24 3- .1,1 4.84 ] 20 4-:m I-: 1 34 56.34 4 79 4 57 !i :,,-7 I't- 1 1 r.i.-".i 4/.K 10 32.57 4.04 21 437- 4.99 20 53,15 40-. 35 1,16 1 — 3 ae :i u i 5. U7 11 24.11 5.ii: 10 :!7.77 5.0: •.'1 48.0C 5111 20 >.60 5.MI 35 65.- 4! >7 2 59 ii 163: r, II 1! a1 1.33 .'. 1 1 10 1207 5.12 21 51.12 5.00 Mt 3.74 5.08 35 11.70 5.0.1 1 6') 9 21.5! 52.- 14 19 48.16 5.21 24 59.29 5.18 30 8.88 5 ii 3.1 16.81 ! 5.13 0 107°+ I64T+ IO.TH- 104°+ 163°+ 162 + y 317 - :t i« - aiar- :M4°- »43'- 312 — y 886 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin y. 198°- 199°— 30O°— 20 1 °— 202°— 2O3°— y 18°+ I9D+ ao°+ ai°+ 83°+ 23°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. (! frfifti 0.00 1 40 24".01 0.00 1° 45 27.38 o!oo o / li 1 50 29.81 0.00 1° 55 30.23 0.00 2 0 28.52 0.00 60 i 35 21.93 0.09 40 28.10 0.08 45 32.44 0.08 50 34.84 0.08 55 35.21 0.08 0 33.48 0.08 59 2 35 27.05 0.18 40 33.19 0.17 45 37.00 0.17 50 39.86 0.16 55 40.20 0.16 0 38.44 0.16 58 3 35 32.17 0.25 40 38.28 0.26 45 42.55 0.25 50 44.88 0.25 55 45.19 0.25 0 43.39 0.24 57 4 35 37.28 0.34 40 43.36 0.34 45 47.60 0.33 50 49.90 0.34 55 50.18 0.33 0 48.34 0.32 56 5 35 42.39 0.43 40 48.44 0.42 45 52.65 0.42 50 54.92 0.42 55 55.17 0.41 0 53.29 0.41 55 6 1 35 47.51 0.52 1 40 53.53 0.50 1 45 57.71 0.50 1 50 59.94 0.50 1 56 0.15 0.48 2 0 58.24 0.49 54 7 35 5-2.<;:i 0.60 40 58.62 0.5!) 46 2.76 0.5!) 51 4.96 0.59 56 5.13 0.56 1 3.19 0.58 53 8 35 57.74 0.69 41 3.70 0.67 46 7.81 0.67 51 9.98 0.67 56 10.11 0.65 1 8.14 0.66 52 9 36 2.8.') 0.77 41 8.78 0.76 46 12.86 0.75 51 15.00 0.75 56 15.10 0.74 1 13.09 0.74 51 10 36 7.96 0.85 41 13.86 0.85 46 17.91 0.89 51 20.02 0.87 56 20.09 0.83 1 18.04 0.82 50 11 1 36 13.08 0.94 1 41 18.95 0.93 1 46 22.97 0.92 1 51 25.04 0.92 1 56 25.07 0.91 2 1 22.99 0.90 49 12 36 18.19 1.02 41 24.04 1.02 46 28.02 1.00 51 30.06 1.00 56 30.05 1.00 1 27.94 0.98 48 13 36 23.30 1.11 41 29.12 1.10 46 33.07 1.09 51 35.08 1.08 56 35.03 1.08 1 32.88 1.07 47 11 36 28.41 1.19 41 34.20 1.19 46 38.12 1.17 51 40.10 1.16 56 40.01 1.16 1 37.82 1.15 46 15 36 33.52 1.27 41 39.28 1.27 46 43.17 1.26 51 45.11 1.25 56 45.00 1.24 1 42.76 1.23 45 1G 1 36 38.63 1.35 1 41 44.36 1.35 1 46 48.22 1.34 1 51 50.13 1.34 1 56 49.98 1.32 2 1 47.71 1.31 44 17 36 43.7-1 1.44 41 49.44 1.44 46 53.27 1.43 51 55.15 1.42 56 54.96 1.41 1 52.65 1.39 43 18 36 48.85 1.52 41 54.52 1.52 46 58.32 1.51 52 0.16 1.50 56 59.93 1.50 1 57.59 1.48 42 19 36 53.! K! 1.61 41 59.60 1.60 47 3.37 1.60 52 5.17 1.59 57 4.91 1.58 2 2.53 1.56 41 20 36 59.07 1.70 42 4.68 1.69 47 8.41 1.68 52 10.18 1.67 57 9.89 1.66 2 7.47 1.65 40 21 1 37 4.18 1.79 1 42 9.76 1.78 1 47 13.40 1.76 1 52 15.20 1.76 1 57 14.87 1.74 2 2 12.41 1.73 39 99 37 9.2!) 1.87 42 14.84 1.86 47 18.51 1.85 52 20.21 1.84 57 19.85 1.82 2 17.35 1.81 38 23 37 14.41 1.96 42 19.92 1.95 47 23.55 1.93 52 25.22 1.92 57 24.83 1.90 2 22.29 1.90 37 24 37 19.51 2.05 42 24.9! I 2.04 47 28.59 2.01 52 30.23 2.01 57 29.80 1.98 2 27.23 1.98 36 25 37 24.61 2.14 42 30.06 2.13 47 33.63 2.10 52 35.24 2.10 57 34.77 2.06 2 32.17 2.06 35 26 1 37 29.72 2.23 1 42 35.14 2.21 1 47 38.68 2.18 1 52 40.25 2.18 1 57 39.75 2.15 2 2 37.11 2.14 34 27 37 34.83 2.31 42 40.22 2.2!) 47 43.72 2.26 52 45.26 2.26 57 44.73 2.23 2 42.05 2.22 33 28 37 39.93 2.3!) 42 45.29 2.37 47 48.76 2.35 52 50.27 2.34 57 49.70 231 2 46.!)!) 2.30 32 2!) 37 45.113 2.47 42 50.36 2.45 47 53.80 2.44 52 55.27 2.42 57 54.67 2.40 2 51.93 2.38 31 30 37 50.13 2.55 42 55.43 2.53 47 58.84 2.52 53 0.28 2.50 57 59.64 2.48 2 56.86 2.47 30 31 1 37 55.24 2.64 1 43 0.51 2.61 1 48 3.88 2.60 1 53 5.29 2.58 1 58 4.62 2.56 2 3 1.80 2.55 2!) 32 38 0.34 2.72 43 5.58 2.70 48 8.92 2.6!) 53 10.29 266 58 9.59 2.65 3 6.74 2.63 28 33 38 5.44 2.81 43 1065 2.78 48 13.96 2.77 53 15.30 2.74 58 14.56 2.74 3 1167 2.71 27 34 38 10.54 2.90 43 J5.72 2.87 48 19.00 2.86 53 20.30 2.82 58 19.53 2.82 3 10.60 2.79 26 35 38 15.64 2.98 43 20.79 2.95 48 24.04 2.94 53 25.30 2.91 58 24.50 2.90 3 21.53 2.88 25 36 1 38 20.74 3.07 1 43 25.86 3.04 1 48 29.08 3.03 1 53 30.30 3.00 1 58 29.47 2.98 2 3 26.46 2.96 24 37 38 25.84 3.15 43 30.93 3.12 48 34.12 3.11 53 35.30 3.09 58 34.44 3.06 3 31 39 3.04 23 38 38 30.94 3.24 43 36.00 3.21 48 39.16 3.20 53 40.31 3.18 58 39.41 3.14 3 36.32 3.12 W 3'J 38 36.04 3.32 43 41.07 3.30 48 44.19 3.28 53 45.31 3.26 58 44.38 3.22 3 41.25 3.20 21 40 38 41.14 3.40 43 46.14 3.38 48 49.22 3.36 53 50.31 3.34 58 49.34 3.31 3 46.18 3.29 20 41 1 38 46.24 3.49 1 43 51.21 3.46 1 48 54-26 3.44 1 53 55.31 3.42 1 58 54.31 3.40 2 3 51.11 3.37 19 42 38 51.34 3.58 43 56.28 3.55 48 59.31 3.53 54 0.31 3.50 58 59.27 3.48 3 56.04 3.46 18 43 38 56.44 3.66 44 1.35 3.63 49 4.33 3.61 54 5.31 3.59 59 4.23 3.56 4 0.97 3.54 17 44 39 1.54 3.75 44 6.41 3.72 49 9.36 3.70 54 10.31 3.67 59 9.19 3.65 4 5.90 3.62 16 45 39 6.63 3.84 44 11.47 3.80 49 14.39 3.78 54 15.31 3.75 59 14.15 3.73 4 10.82 3.70 15 46 1 39 11.73 3.92 1 44 16.54 3.89 1 49 19.42 3.87 1 54 20.31 3,84 1 59 19.11 3.82 2 4 15.75 3.79 14 47 39 16.83 4. 0 44 21.61 3.96 49 24.45 3.95 54 25.31 3.91 59 24.07 3.90 4 20.68 3.87 13 48 39 21.92 4. 8 44 26.67 4.04 4!) 29.48 4.03 54 30.30 4.00 59 29.03 3.98 4 25.60 8.95 12 49 39 27.01 4.16 44 31.73 4.13 49 34.51 4.11 54 35.30 4.09 59 33.99 4.06 4 30.52 4.03 11 50 39 32.11 4.25 44 36.79 4.22 49 39.54 4.20 54 40.30 4.18 59 38.95 4.14 4 35.44 4.12 10 51 1 39 37.21 4.33 1 44 41.85 4.30 1 49 44.57 4.28 1 54 45.30 4.26 1 59 43.91 4.22 2 4 40.36 4.21 9 52 39 42.30 4.42 44 46.91 4.39 49 49.61 4.37 54 5H.2! 4.35 59 48.87 4.31 4 45581 4.2D 8 53 39 47.3!) 4.50 44 51.97 4.47 49 54.63 4.45 54 55.29 4.44 59 53.83 4.39 4 50.21)! 4.37 7 54 39 52.4* 4.59 44 57.03 4.56 41) 5'.u;< 4.54 55 o.-i- 4.52 59 58.79 4.47 4 55.12 4.45 6 65, 39 57.57 4.68 45 2.09 4.64 50 4.68 4.62 55 5.27 4.60 2 0 3.74 4.55 5 0.04 4.53 5 56 1 40 2.66 4.76 1 45 7.15 4.73 1 50 9.71 4.70 1 55 10.26 4.68 2 0 8.70 4.64 2 5 4.96 4.61 4 57 40 7.75 4.85 45 12.21 4.82 50 14.74 4.7!) 55 15.25 4.76 0 13.66 4.72 5 9.88 4.6!) 3 58 40 12.84 4.93 45 17.27 4.90 9.71 4.87 55 20.24 4.85 0 18.62 4.80 5 14.80 4.77 2 59 40 17.'.i: 5.02 45 22.3: 4.99 50 24.7!) 4.96 55 25.24 4.93 0 23.57 4.88 5 19.72 4.85 1 (in 40 23.011 5.10 45 27.38 5.07 50 29.81 5.04 55 30.23 5.01 0 28.52 4.97 5 24.63 4.94 0 161°+ 16O°+ 159°+ 158°+ 157°+ 156°+ y 341°— 340°- 339°— 338°— 337°— 336°- y 337 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin y. 2O4°— 2O5°— S06'— 207'— 2O8°— 209°— !/ 24°+ 23°+ 26°+ 37°+ 28°+ 29°+ y Equation. P.P. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. P.P. 0 2 5 24.63 o'.oo 2 10 18.46 0.00 2° 15 9'.87 doe 2° 19 58 82 (too 2 24 4o.22 o'.oo 2 2!) '- i'i.00 60 i 5 29.55 0.08 10 23.34 0.08 15 14.71 0.08 20 3.62 0.08 24 49.97 0.08 29 33.69 o.o* 59 2 5 34.47 0.16 10 28.21 0.16 15 19.55 0.16 20 8.42 0.16 24 54.72 0.16 29 3S.4H 0.16 58 3 5 3i).3-! 0.24 10 33.08 0.24 15 24.38 0.24 20 13.21 0.24 24 59.47 0.24 29 43.11 0.24 57 4 5 44.21) 0.32 10 37.75 0.32 15 29.21 0.32 20 18.00 0.32 25 4.22 0.32 2!) 47,- 1 I).: ',2 56 5 5 49.2 ) 0.41 10 42.82 0.40 15 34.04 0.40 20 22.79 0.40 25 8.97 0.40 29 52.51 0.40 55 6 2 5 54. 1.' 0.49 2 10 47.70 0.48 2 15 38.88 0.48 2 20 27.58 0.48 2 25 13.72 0.48 2 29 57.22 0.4,- 54 7 5 59.03 0.57 10 52.57 0.56 15 43.71 0.56 20 32.37 0.56 25 18.47 0.56 30 1.92 0.56 63 8 6 3.!14 0.65 10 57.44 0.64 15 48.54 0.64 20 37.161 0.64 25 23.22 0.64 30 6.62 I LI 11 52 9 6 8.65 0.73 11 2.31 0.72 15 53.37 0.72 20 41.95 0.72 25 27.! '7 0.72 30 11.32 0.71 51 10 6 13.76 0.82 11 7.18 0.81 15 58.20 0.80 20 46.74 0.80 25 32.72 0.79 30 Ki.i 2 0.78 50 11 2 6 18.67 0.90 2 11 12.05 0.89 2 16 3.03 0.88 2 20 51.53 0.88 2 25 37.46 0.87 2 30 20.72 086 49 13 6 23.58 0.98 11 16.92 0.97 16 7.86 0.96 20 50.32 0.96 25 4220 0.95 30 25,12 0.94 4- 13 6 28.49 1.06 11 21.79 1.05 16 12.69 1.04 21 1.10 1.04 25 46.94 1.03 30 30.11 1.02 47 14 6 33.40 1.14 11 26.66 1.13 16 17.52 1.12 21 5.88 1.12 25 51.68 1.11 30 34. HI 1.10 46 15 6 38.3U 1.22 11 31.53 1.21 16 22.34 1.20 21 10.66 1.20 25 56.41 1.1! 30 39.50 1.18 45 16 2 6 4321 1.30 2 11 36.40 1.29 2 16 27.17 1.28 2 21 15.45 1.28 2 26 1.15 1.27 2 30 44.20 1.26 44 17 6 48.12 1.38 11 41.27 1.37 16 32.00 1.36 21 20.23 1.3< 26 5.89 1.35 30 4.-.90 1.34 43 18 (i 53. 12 1.46 11 4G.14 1 .45 16 36.82 1.44 21 25.011 1.44 26 10.63 1.4: 30 53.HO 1.42 42 111 6 57.92 I.:>1 11 5I.OH 1 .53 16 41.64 1.52 21 2!) .791 1.52 26 15.37 1.51 30 58 28 1.49 41 2) 7 2.82 1.63 11 55,-li 1.62 16 46.46 1.61 21 34.57 1.59 26 20.10 1.58 31 2.! 17 1 51, 40 n 2 7 7.73 1.71 2 12 0.73 1.70 2 16 51.29 1.69 2 21 39.35 1.67 2 26 24.84 1.66 2 31 7.66 1.64 89 22 7 12.63 1.80 12 5.59 1.78 16 56.11 1.77 21 44.13 1.7.- 26 29.58 1.74 31 12.35 1.72 88 23 7 17.53 1.88 12 10.45 1.86 17 0.93 1.85 21 48.91 1.83 26 34.311 1.82 31 17.04 1.80 37 24 7 22.43 1.96 12 15.31 l.!»4 17 5.75 1.93 21 53.69 1.91 26 39.041 1.90 31 21.73 1.88 36 •5 7 27.3:i 2.04 12 20.17 2.02 17 10.57 2.01 21 58.46 1.99 26 43.77 1.98 31 26.42 1.91 35 26 2 7 :!•.' a: 2.12 2 12 25.03 2.10 2 17 15.39 2.09 2 22 3.24 2.07 2 26 48.51 2.06 2 31 31.11 2.04 34 27 7 37.13 2.2i ) 12 29.89 2.18 17 20.21 2.17 22 8.02 2.15 26 53.241 2.14 31 35>0 2.12 83 •6 7 42.03 2.28 12 34.75 2.26 17 25.03 2.25 22 12.79 2.2: 26 57.97 2.22 31 40.48 2.2i 32 7 46.93 2.36 12 39.lil 2.34 17 29.85 2.33 22 17.57 2.31 27 2.70 2.2! 31 45.16 2.27 31 30 7 51.63 2.45 12 44.46 2.42 17 34.66 2.41 22 22.34 2.39 27 7.43 2.36 31 49.84 2.34 30 31 2 7 56.73 2.53 2 12 49.32 2.50 2 17 39.48 2.49 2 22 27.11 2.47 2 27 12.16 2.44 2 31 54.53 2.42 2!) 39 8 1.63 9.69 12 54.18 3.58 17 44.30 2.57 22 31.88 2.55 27 16.89 2.52 31 5921 2.50 28 33 8 6.53 2.70 12 59.03 2.66 17 49.11 2.65 22 36.65 2.63 27 21.62 2.6( 32 3.89 2.58 27 34 8 11.42 2.78 13 3.88 2.74 17 53.92 2.73 22 41.42 2.71 27 26.35 2.68 32 8.57 2.6( 86 35 8 16.31 2.87 13 8.73 2.82 17 58.73 2.81 22 46.20 2.79 27 31.07 2.76 32 13.25 2.74 25 36 2 821.21 2.95 2 13 13.59 2.90 2 18 3.54 2.89 2 22 50.97 2.87 2 27 35.80 2.84 2 32 17.93 2.HS 24 37 8 26.10 3.03 13 18.44 998 18 8.35 2.97 22 55.74 B.M 27 40.53 2.92 32 22.61 9.91 23 38 8 30.99 3.11 13 23.29 3.06 18 13.16 3.05 23 0.51 3.03 27 45.2." 3.0( 32 27 2! 9.98 22 39 8 35.88 3.19 i:; 98 1 I 3.14 18 17.97 3.13 23 5.28 3.1 27 50.97 3.08 32 3I.!'( 3.0." 21 40 8 40.77 3.26 13 32.99 3.23 18 22.78 3.21 23 10.04 8.11 27 54.6! 8.11 32 36.64 3.12 20 41 2 8 45.66 3.34 2 13 37.84 3.31 2 18 27.5! 3.29 2 23 14.81 3.27 2 27 59.41 323 2 32 41.32 3.20 1!) 12 3.42 13 42.69 3.3!) 18 32.41 3.37 23 19.58' 3.3." 28 4.13 3.3 32 46.6(1 3.2,- 18 43 8 55.44 150 13 47.54 3.47 18 37.21 :M: 23 24.:: 1 3.4: 2- r-r 3.3< 32 50.67 3.3( 17 II 9 0.33 3.53 13 52.39 3.55 18 42.02 3.Y. 23 29.1 < :',.:, 28 13.57 3.4 32 55.34 3.44 16 K 9 5.21 3.66 13 5721 £63 18 46.82 3.61 23 33,-<> 3,v. 28 18.20 3.55 33 0.01 3..V, 15 46 2 9 10.10 8.78 2 14 2.0f 3.71 2 18 51.63 3.69 2 23 38.63 3.67 2 28 23.01 3.6 2 33 4.68 :n;i 14 17 '.) II'.K 8£3 14 6.94 3.79 18 56.44 3.77 23 43.3!) 8.71 28 27.73 3.7 33 9.3.- :K,- 13 48 :i I9.-7 3.: H 11 11.7! 347 19 1.24 3,-.- 23 I-.I5 :•,.-: 2- 32 i: 8.7 33 14.0'. 3.71 12 4 ' 9 24.75 4.00 11 H,i,: 3.!i: 19 6.04 3.94 2:i 52 .91 3.91 28 37.16 3,- 33 I.-.6! 3.8 11 50 :i 211,- 4.08 14 21.47 4.04 19 10.84 4.01 23 57.67 3.9! 28 41.87 3.7 33 23.31 3.91 10 51 2 !i 4.16 2 11 4.12 2 19 15(11 4.0! 2 24 2.43 4.07 2 2- 4.02 2 33 88.0! 3.98 9 ..-; :i 39 l, 4.24 11 31.11 4.20 1:1 2n,ll 4.17 24 7.19 4.1." 28 51.30 4.1 33 32.71 4. IK 8 S3 :i 11.2- 4.32 n 3<;.i 4.1 33 3737 4.14 7 54 9 .I'.MI 4.40 1 1 40.8 4.3( 1!) 311.114 4.!!! 21 1(1.71 4.3 29 0.72 4.26 33 42.01 isa 6 55 9 54.0T •1 .19 11 45.fi- 4.44 19 34.84 4.41 24 20.46 4.31 29 5,1: 4.3 33 46.6! 4 31 5 56 2 9 :.-'.> 4.57 2 14 50 .V 4.52 2 19 3!U,I 4.49 2 24 26.22 4.47 2 29 10.14 4.42 2 33 51.31 4:8 4 87 II) 3-, li,: 1 1 .V,.:M; 4.0 19 II 41 4.57 24 30.97 iSt 29 14.85 4.51 33 56i,- 4.46 3 58 III -7i 17. 15 D.2I 1.6- 19 49.2 4.1,: 24 35.7', IjS 29 19.51 4.58 :u 0.68 4.5 2 59 10 13.5- 1 -1 15 5.H. 4.74 19 54.0! 4.73 24 40.47 4.7 29 23.27 4.<* 31 5.34 4.61 1 60 10 18.46 4.90 15 9.81 1 - 19 58.83 4.82 24 45.221 4.78 29 2.-.!M 4.7: 34 10.01 4.68 0 IIKF+ 1.14°+ 1.W+ 1.W+ 151°+ !5O°-f y 33.T- «.1t°- 3»30— SKW— 3:1 r- :i:io°— y TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin y. 21©°- 2ll°— 212°— 213D— 214°— 215Q— y 30°+ 31°+ 32°+ 33 + 34°+ 35°+ y Equation. p.p. Equation. p.p. Equation. r.p. Equation. p.p. Equation. p.p. Equation. p.p. d 2 34 id'.OO o!bo 3 38 48'!20 o.'bo 2 43 23.51 0*00 o t n 2 47 55.82 o!6o 2 52 2o".07 0.00 2 56 5l".16 0.00 60 i 34 ll.lii 0.08 38 52.82 0.08 43 28.08 0.08 48 0.34 0.08 52 29.53 0.08 56 55.57 0.08 50 2 34 19.32 0.16 38 57.43 0.16 43 32.64 0.16 48 4.86 0.16 52 33.99 0.16 56 5!U)8 0.16 58 3 34 23.98 0.24 39 2.04 0.24 43 37.20 0.24 48 9.37 0.24 52 38.45 0.24 57 4.39 0.24 57 4 34 28.64 0.32 39 6.65 0.32 43 41.76 0.32 48 13.88 0.32 52 42.91 0.32 57 8.79 0.31 56 5 34 33.2,1 0.40 3i) 11.26 0.40 43 46.32 0.40 48 18.39 0.40 52 47.37 0.39 57 13.19 0.38 55 6 2 31 37.05 0.48 2 3!) 15.87 0.48 2 43 50.88 0.48 2 48 22.90 0.47 2 52 51.83 0.46 2 57 17.60 0.45 54 7 34 42.61 0.56 3!) 20.48 0.56 43 55.44 0.55 48 27.41 0.54 52 56.29 0.52 57 22.00 0.52 53 8 34 47.26 0.63 39 25.09 0.63 44 0.00 0.62 48 31.02 0.61 53 0.74 0.60 57 26.40 0.59 52 9 34 51.91 0.70 39 2.1.69 0.70 44 4.56 0.60 48 36.43 0.68 53 5.19 0.67 57 30.80 0.66 51 10 34 56.56 0.77 39 34.29 0.77 44 9.11 0.76 48 40.93 0.75 53 9.64 0.74 57 35.20 0.73 50 11 2 35 1.22 0.85 2 30 38.90 0.85 2 44 13.67 0.84 2 48 45.43 0.83 2 53 14.09 0.82 2 57 39.60 0.81 49 )2 35 5.87 0.93 39 43.50 0.93 44 18.22 0.92 48 49.93 0.91 53 18.54 0.90 57 44.00 0.8! > 48 13 35 10.52 1.01 39 48.10 1.01 44 22.77 .00 48 54.43 0.9!) 53 22.99 0.98 57 4r-.40 0.97 47 14 35 15.17 1.0!) 39 5270 .09 44 27.32 .08 ' 48 58.93 1.07 53 27.44 1.06 57 52.79 .04 46 15 35 l'J.82 1.17 39 5730 .17 44 31.87 .16 49 3.43 1.15 53 31.89 1.13 57 57.18 .11 45 16 2 35 24.47 1.25 2 40 1.90 25 2 44 36.42 .23 2 49 7.93 1.22 2 53 36.34 1.20 2 58 1.58 .18 44 17 35 2!).] 2 1.33 40 6.50 .32 44 40.97 .30 49 12.43 1.29 53 40.79 1.27 58 5.97 .25 43 16 35 33.77 1.41 40 11.10 .39 44 45.52 .37 49 16.93 1.36 53 45.24 1.34 58 10.36 ^32 42 19 35 38.42 1.48 40 15.70 .46 44 50.07 1.44 49 21.42 1.44 53 49.68 1.41 58 14.75 .39 41 20 35 43.06 1.55 40 20.2!) .53 44 54.61 1.50 49 25.91 1.50 53 54.12 1.48 58 19.14 .46 40 21 2 35 47.71 1.63 2 40 24.80 .61 2 44 59.16 1.50 2 49 30.41 1.58 2 53 58.57 l.r,6 2 58 23.53 .54 39 22 35 52.35 1.71 40 29.49 .69 45 3.71 1.67 49 34.91 1.66 54 3.01 1.64 58 27.92 .62 38 23 35 56.!K) 1.79 40 34.08 .77 45 8.25 1.75 49 39.00 1.74 54 7.45 1.72 58 32.31 .70 37 24 36 1.63 1.87 40 38.67 .85 45 12.79 1.83 49 43.89 1.82 54 11.89 1.80 58 36.70 .77 36 25 36 6.27 1.95 40 43.26 1.93 45 17.33 1.91 49 48.38 1.89 54 1633 1.87 58 41.08 .84 35 26 2 36 10.91 2.03 2 40 47.86 2.01 2 45 21.88 1.99 2 49 52.88 1.96 2 54 20.77 1.94 2 58 45.47 1.01 34 27 36 15.55 2.11 40 52.45 2.0! 1 45 26.42 2.06 49 57.37 2.03 54 25.21 2.01 58 49.86 1.98 33 36 36 20.19 2.18 40 57.04 2.16 45 30.!)6 2.13 50 1.86 2.10 54 29.65 2.08 58 54.24 2.05 32 29 36 24.83 2.25 41 1.63 2.23 45 35.50 2.20 50 6.35 2.17 54 34.08 2.15 58 58.62 2.12 31 30 36 29.46 2.32 41 6.22 2.30 45 40.04 2.27 50 10.84 2.24 54 38.51 2.22 59 3.00 2.1!) 30 31 2 36 34.10 2.40 2 41 10.81 2.38 2 45 44.58 2.35 2 50 15.33 2.32 2 54 42.95 2.30 2 59 7.38 2.27 29 32 36 38.74 2.48 41 15.40 2.46 45 49.12 2.43 50 19.82 2.40 54 47.38 2.38 59 1 1 76 2.35 28 33 :«i 43.37 2.56 41 1999 2.54 45 53.66 2.51 50 24.31 2.48 54 51.81 2.46 59 16.14 2.43 27 34 36 48.00 2.61 41 24.58 262 45 58.20 2.59 50 28.49 2.56 54 56.24 2.54 59 20.52 2.50 26 35 36 52.63 2.72 41 29.16 2.70 46 2.73 2.67 50 33.27 2.64 55 0.67 2.61 59 24.90 2.57 25 36 2 36 57.26 2.80 2 41 33.75 2.78 2 46 7.27 2.74 2 50 37.75 2.71 2 55 5.10 2.68 2 59 29.28 2.64 24 37 37 1.89 2.88 41 38.33 2.85 46 11.80 2.81 50 42.23 2.78 55 9.53 2.75 59 3366 2.71 23 38 37 6.52 2.96 41 4201 2.92 46 16.33 2.88 50 46.71 2.85 55 13.96 2.82 59 38.03 2.78 &2 3!) 37 11.15 3.02 41 47.49 2.98 46 20.86 2.95 50 51.19 2.92 55 18.3!) 2.8!) 59 42.40 2.85 21 40 37 15.78 3.09 41 52.07 3.06 46 25.39 3.02 50 55.67 2.99 55 22.81 2.96 59 46 77 2.92 20 41 2 37 20.41 3.17 2 41 56.65 3.14 2 46 20.5)2 3.10 2 51 0.15 3.07 2 55 27.24 3.04 2 59 51.14 3.00 19 42 37 25.04 3.24 42 1.23 3.22 46 32.45 3.18 51 4.63 3.15 55 31.67 3.12 59 55.51 3.08 18 43 37 29.67 3.33 42 5.81 3.30 46 38.98 3.26 51 8.11 3.23 55 36.10 3.20 59 59.88 3.16 17 44 37 34.30 3.41 42 10.3! 3.38 46 43.50 334 51 13.58 3.31 55 40.52 3.28 3 0 4.25 3.23 16 45 37 38.92 3.49 42 14.96 3.46 46 48.02 3.42 51 18.05 3.39 55 44.94 3.36 0 8.61 3.30 15 46 2 37 43.54 3.57 2 42 10.54 3.54 2 46 52.55 3.49 2 51 22.53 3.46 2 55 49.36 3.43 3 0 12.98 3.37 14 47 37 48.16 3.65 42 24.12 3.62 46 57.' .7 3.56 51 27.00 3.53 55 53.78 3.50 0 17.35 3.44 13 48 37 52.78 3.73 42 28.60 3.69 47 1.59 3.63 51 31.47 3.60 55 58.20 3.57 0 21.71 3.51 12 4'.) 37 57.40 3.80 42 33.26 3.76 47 6.11 3.70 51 35.94 3.67 56 2.62 3.64 0 26.07 3.58 11 50 38 2.03 3.87 42 37.83 3.83 47 10.63 3.77 51 40.41 3.74 56 7.04 3.70 0 30.43 3.65 10 51 2 38 6.65 3.95 2 42 42.40 3.91 2 47 15.15 3.85 2 51 44.88 3.82 2 56 11.46 3.78 3 0 34.79 3.73 9 52 38 11.27 4.03 42 46.07 3.99 47 19.67 3.93 51 49.35 3.90 56 15.8H 3.86 0 39.15 3.81 8 53 38 15.89 4.11 42 51.54 4.07 47 24 19 4.01 51 53.82 3.98 56 20.2!) 3.94 0 43.51 3.8!) 7 54 38 20.51 4.19 42 56.11 4.15 47 28.71 4.0!) 51 58.29 4.06 56 24.70 4.02 0 47.87 3.!)6 6 55 38 25.12 4.27 43 0.68 4.23 47 33.23 4.17 52 2.75 4.14 56 29.11 4.09 0 52.23 4.03 5 56 2 38 29.74 4.35 2 43 5.25 4.31 2 47 37.75 4.25 2 52 7.22 4.21 2 56 33.52 4.16 3 0 56.59 4.10 4 57 38 34.36 4.43 43 9.82 4.38 47 42.27 4.32 52 11.69 4.28 56 37.93 4.23 1 0.96 4.17 3 58 :H 38.98 4.50 43 14.31 4.45 47 46.70 4.39 52 16.15 4.35 56 42.34 4.30 1 5.32 4.24 2 59 38 43.59 4.57 43 18.95 4.52 4751.31 4.46 52 20.fi] 4.42 56 4(1.7.". 4.37 1 9.68 4.31 1 60 38 48.20 4.64 43 23.51 4.59 47 55.82 4.53 52 25.07 4.49 56 51.16 4.44 1 14.02 4.38 0 149°+ 148°+ 147°+ 146°+ 145°+ 144°+ y 329°— 328°— 327°- 326°— 325°— 324°— y 339 TABLE CXXXVII. ARGUMENT 77, Equation = 18500" sin y. 216°— 217°— 218°- 219°— 220°— 221°— !/ 36°+ 37°+ 38°+ 39°+ 4O°-f 41°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. d f 1 14.02 0.00 3 5 33.58 0*00 3° 949.76 0.00 3° 14 S.42 0.00 3 18 li',57 0.00 3 22 if 09 0.00 60' i 1 18.38 0.08 5 37.88 0.08 9 53.98 0.07 14 660 0.07 18 15.69 0.07 22 21.15 0.07 5!) 2 1 22.74 0.16 5 42.18 0.15 9 58.22 0.14 14 10.78 0.14 18 19.81 0.14 22 25.21 0.13 fiH 3 1 27.0!) 0.23 5 46.48 0.22 10 2.46 0.21 14 14.96 0.21 18 23.93 0.21 22 29.27 0.2U 57 4 1 31.44 0.30 5 50.77 0.29 10 6.70 0.28 14 19.14 0.28 ^ -XL- 0.28 22 33.33 0.26 56 5 1 35.7!) 0.37 5 55.06 0.36 10 10.94 0.35 14 23.32 0.35 IS 32.17 0.34 22 37.3* (1.33 . j. > 6 3 1 40.14 0.44 3 5 59.35 0.43 3 10 15.18 0.42 3 14 27.50 0.42 3 18 36.29 0.41 3 22 41.44 0.39 M 7 1 44.4!) 0.51 6 3.64 0.50 10 19.42 0.49 14 31.68 0.49 18 40.41 0.48 22 45.:.o 0.46 C3 8 1 48.84 0.58 6 7.93 0.57 10 2:i.65 0.56 14 35.85i 0.56 18 44.52 0.54 22 49.55 0.53 52 9 1 53.1!) 0.65 6 12.22 0.64 10 27.88 0.63 14 40.02 0.63 18 48.63 0.61 22 53.00 0.60 51 10 1 57.53 0.72 6 16.51 0.71 10 32.11 0.70 14 44.19 0.69 18 52.74 0.68 22 57.65 0.67 50 11 3 2 1.87 0.80 3 6 20.80 0.79 3 10 36.34 0.77 3 14 4*.HO 0.76 3 18 56.85 8.75 323 1.70 0.74 49 12 2 6.21 0.88 6 25.0!) 0.86 10 40.57 0.84 14 52.53 0.83 19 0.96 0.82 23 5.75 O.*l 48 13 2 M,V> 0.95 6 29.38 0.93 10 44.80 0.91 14 56.70 0.90 19 5.07 0.90 23 9.80 0.** 47 14 2 14.89 1.02 6 33.66 1.00 10 49.02 0.98 15 0.87J 0.97 19 9.1* 0.97 23 13.*5 0.94 46 15 2 19.23 1.09 6 37.94 1.07 10 53.24 1.05 15 6.04 1.04 19 13.29 1.04 23 17.90 1.01 45 16 3 2 23.57 1.16 3 6 42 23 .14 3 10 57.47 1.12 3 15 921 1.11 3 19 17.40 .11 3 23 21.95 1. « 44 17 2 27.91 1.23 6 46.51 1 .21 11 1.69 1.19 15 13.38 1.18 19 21.61: .18 23 26.00 1.14 43 18 2 32.25 1.30 6 50.79 .28 11 5.91 1.26 15 17.55 1.25 19 25.62 .24 23 30.04 1.21 42 1!) 2 :«;.5* 1.37 6 55.07 .35 11 10.13 1.33 15 21.71 1.32 19 29.72 .30 23 34 .CM 1 2.- 41 20 2 40.91 1.44 6 59.35 .42 11 14.35 1.40 15 25.87 1.38 19 33.82 .36 23 3*. 12 1.34 40 21 3 2 45.25 1.52 3 7 3.63 .50 3 11 18.57 1.48 3 15 30.03 1.45 3 19 37.92 .43 3 23 42.16 1.41 39 22 2 49.59 1.60 7 7.91 .58 11 22.79 1.55 15 34.19 1.52 19 42.02 .50 23 4620 1,1,- 38 23 2 53.92 1.68 7 12.19 .65 11 27.01 1.62 15 38.35 1.59 19 46.12 .57 23 50.24 1.55 37 24 2 58.25 1.75 7 16.46 .72 11 3123 1.69 15 42.51 1.66 19 50.22 .64 23 54.28 1.62 36 2i 3 2.58 1.82 7 20.73 .79 11 35.44 1.76 15 46.67 1.73 19 54.32 .71 23 58.31 1.6(1 35 26 3 3 6.91 1.89 3 7 25.01 .86 3 11 39.66 1.83 3 15 50.831 1.80 3 19 58.42 .78 3 24 2 35 1 .75 34 27 3 11.24 1.96 7 29.28 ,93 11 43.88 1.90 15 54.991 1.87 20 2.52 .85 24 6.3* l,-2 33 28 3 15.57 2.03 7 33.55 2.00 11 4rt.lO 1.97 15 59.14 1.91 20 6.61 .92 24 10.41 1 1.88 32 2!) 3 19.90 2.10 7 37.82 2.07 11 52.31 2.04 16 3.29 2.01 20 10.70 .99 24 14.44 1.3°— 322°— 321°— 320°- 319°— 318°- y 340 TABLE CXXXVII. ARGUMENT 77, Equation = 18500" sin g. 222°— 223°— 224°— 225°— 226°— 227°— y 42°+ 43°+ 44°+ 45°+ 46°+ 47°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. d 3° 26 1S"92 o!bo 3 30 16".97 0.00 3 34 ll".18 a 0.00 O J H 3 38 1.47 0.00 O 1 II 3 41 47.78 o!bo 3 45 30".04 0.00 60 i 26 22.92 0.07 30 20.91 0.06 '•34 15.05 0.06 38 5.27 0.06 41 51.52 0.06 45 33.71 0.06 59 2 26 26.! 11 0.13 30 24.85 0.12 34 18.92 0.12 38 9.07 0.12 41 55.26 0.12 45 37.38 0.12 58 3 26 30.91 0.20 30 28.78 0.18 34 22.79 0.18 38 12.87 0.18 41 59.00 0.18 45 41.05 0.18 57 4 26 34.90 0.26 30 32.71 0.24 34 26.66 0.24 38 16.67 0.24 42 2.73 0.24 45 44.72 0.24 56 5 26 38.90 0.33 30 36.64 0.30 34 30.55 0.30 38 20.47 0.30 42 6.46 0.30 45 48.38 0.30 55 6 3 26 42.89 0.40 3 30 40.57 0.37 3 34 34.39 0.37 3 38 24.27 0.37 3 42 10.19 0.36 3 45 52.05 0.36 54 7 26 46.88' 0.47 30 44.50 0.44 34 38.25 0.44 38 28.07 0.42 42 13.92 0.42 45 55.71 0.42 53 8 26 5U.87 0.54 30 48.43 0.51 34 42.11 0.51 38 31.87 0.49 42 17.65 0.48 45 59.37 0.48 52 9 26 54.86 0.60 30 52.36 0.58 34 45.97 0.57 38 35.66 0.56 42 21.38 0.55 46 2.03 0.54 51 10 26 58.86 0.66 30 56.28 0.65 34 49.83 0.64 38 39.45 0.63 42 25.11 0.62 46 6.69 0.61 50 11 3 27 2.85 0.73 3 31 0.21 0.72 3 34 53.69 0.71 3 38 43.25 0.70 3 42 28.84 0.68 3 46 10.35 0.67 49 19 27 6.84 0.79 31 4.13 0.79 34 57.55 0.78 38 47.05 0.76 42 32.57 0.74 46 14.01 0.73 48 13 27 10.83 0.86 31 8.05 0.86 35 1.41 0.84 38 50.84 0.83 42 36.29 0.80 46 17.66 0.79 47 14 27 14.81 0.92 31 11.97 0.92 35 5.27 0.91 38 54.63 0.90 42 40.01 0.86 46 21.31 0.85 46 15 27 18.79 0.98 31 15.89 0.99 35 9.12 0.98 38 58.42 0.96 42 43.7;3 0.93 46 24.96 0.91 45 16 3 27 22.78 1.05 3 31 19.81 1.06 3 35 12.98 1.04 3 39 2.21 .02 3 42 47.45 0.99 3 46 28.61 0.97 44 17 27 26.76 1.12 31 23.73 1.12 35 16.83 1.10 39 6.00 .08 42 51.17 1.05 46 32.26 1.03 43 18 27 30.74 t.19 31 27.65 1.18 35 20.68 1.16 39 9.79 .14 42 54.89 1.11 46 35.91 1.09 42 1!) 27 31.72 1.26 31 31.57 1.24 35 24.53 1.22 39 13.58 .20 42 58.61 1.17 46 "9.fC 1.15 41 20 27 38.70 1.33 31 35.48 1.30 35 28.33 1.28 39 17.36 .26 43 2.32 1.24 46 43.20 1.21 40 21 3 27 42.68 1.40 3 31 39.40 1.37 3 35 32.23 1.35 3 39 21.14 .32 3 43 6.04 1.30 3 46 46.85 1.27 39 22 27 46.66 1.47 31 43.31 1.44 35 36.08 1.41 39 24.92 .38 43 9.75 1.36 46 50.50 1.33 38 23 27 50.64 1.53 31 47.22 1.50 35 39.93 1.47 39 28.70 .45 43 13.46 1.42 46 F4.14 1.39 37 24 27 54.61 1.60 31 51.13 1.57 35 43.77 1.54 39 32.4,-! .51 43 17.17 .48 46 07.78 1.45 36 25 27 58.58 1.67 31 55.04 1.64 35 47.61 1.60 39 36.26 .57 43 20.88 .54 47 1.42 1.51 35 26 3 28 2.55 .73 3 31 58.95 1.71 3 35 51.46 1.66 3 39 40.04 .64 3 43 24.59 .60 3 47 5.fl6 l,r'7 34 27 28 6.52 .80 32 2.86 1.77 35 55.30 1.73 39 43.82 .70 43 28.30 .66 47 8.7n 1.63 33 28 28 10.49 .86 32 6.76 1.84 35 59.14 1.80 39 47.59 .76 43 32.01 .72 47 12.34 1.69 32 89 28 14.46 .92 32 10.66 1.90 36 2.98 1.86 39 51.36 .82 43 35.72 .78 47 15.98 1.75 31 30 28 18.42 .99 32 14.56 1.96 36 6.82 1.92 39 55.13 .88 43 39.42 .85 47 1962 1.82 30 31 3 28 22.39 2.06 3 32 18.46 2.03 3 36 10.66 1.98 3 39 58.90 1.94 3 43 43.13 .91 3 47 23.26 1>'3 29 32 •>•• 26.36 2.12 32 22.36 2.10 36 14.50 2.05 40 2.67 2.00 43 46.63 .1)7 47 Sio.% l.!,4 28 33 28 30.32 2.19 32 26.26 2.17 36 18.34 2.11 40 6.00 2.07 43 50.57 2.03 47 30.53 2.00 27 34 28 34.28 2.25 32 30.16 224 36 22.17 2.18 40 10.21 2.13 43 54.23 2.09 47 34.16 2.06 26 35 28 38.24 2.32 32 34.06 2.30 36 26.00 2.25 40 13.97 2.19 43 57.93 2.15 47 37.79 2.12 25 36 3 28 4220 2.39 3 32 3796 2.37 3 36 29.83 2.31 3 40 17.74 2.25 3 44 1.63 2.21 3 47 41.42 2.18 24 37 28 46.16 2.46 32 41.86 2.43 36 33.66 2.38 40 21.51 2.32 44 0.00 2.28 47 45.05 2.24 23 38 28 50.12 2.53 32 45 76 2.49 36 37.49 2.44 40 25.27 2.38 44 9.03 2.34 47 48.68 2.30 22 39 28 54.08 2.5!) 32 49 2.55 36 41.32 2.50 40 29.03 244 44 12.72 240 <7 52.31 2.36 21 40 28 58.04 2.6.'> 32 53.54 2.60 36 45.15 2.56 40 32.79 2.51 44 16.40 2.47 47 55.93 2.42 20 41 3 29 2.00 2.72 3 32 57.43 2.68 3 36 48.98 2.63 3 40 36.55 2.58 3 44 20.09 2.53 3 47 59.56 2.48 19 42 29 5.96 2.79 33 1.32 2.74 36 52.81 2.70 40 40.31 2.64 44 23.78 2.69 48 3.18 2.54 18 43 29 9.91 2.86 33 5.21 2.81 36 56.63 2.76 40 44.07 2.70 44 27.47 2.66 48 6.80 2.60 17 44 29 13.86 2.92 33 9.10 2.87 37 0.45 283 40 47.83 2.77 44 31.16 2.72 48 10.42 2.66 16 45 29 17.81 2.99 33 12.99 2.94 37 4.27 2.90 40 51.58 2.83 44 34.85 2.78 48 14.04 2.72 15 46 3 29 21 .76 3.06 3 33 16.88 3.00 3 37 8.09 2.96 3 40 55.34 2.90 3 44 38.54 2.84 3 48 17.66 2.78 14 47 29 25.71 3.13 33 20.77 3.06 37 11.91 3.02 40 59.09 2.96 44 42.22 2.90 48 21.28 2.84 13 48 29 29.66 3.19 33 24.65 3.13 37 15.73 3.08 41 2.84 3.02 44 45.90 2.96 48 24.90 2.90 12 49 29 33.61 3.25 33 28.53 3.19 37 19.55 3.14 41 6.59 3.08 44 49.58 3.02 48 28.51 2.96 11 50 29 37.55 3.32 33 32.41 3.26 37 23.37 3.20 41 10.34 3.14 44 53.26 3.09 48 32.12 3.03 10 51 3 29 41.50 3.39 3 33 36.2!1 3.33 3 37 27.19 3.27 3 41 14.09 3.20 3 44 56.95 3.15 3 48 35.73 3.09 9 52 29 45.45 3.46 33 40.17 3.40 37 31.01 3.33 41 17.84 3.27 45 0.63 3.21 48 39.34 ; 3.15 8 53 29 49.39 3.53 33 44.05 3.46 37 34 82 3.40 41 21,59 3.33 45 4.31 3.27 48 42.95 3.21 7 54 29 53.33 3.60 33 47.93 3.52 37 38.63 3.46 41 25.33 3.39 45 7.99 3.34 48 46.56 3.27 6 55 29 57.27 3.66 33 51.81 3.59 37 42.44 3.53 41 29.07 3.45 45 11.67 3.40 48 50.17 3.33 5 56 3 30 1.21 3.73 3 33 55.6S 3.65 3 37 46.25 3.59 3 41 32.82 3.52 3 45 15.34 3.46 3 48 53.78 3.39 4 57 30 5.15 3.80 33 59.57 3.72 37 50.06 3.65 41 36.56 3.58 45 19.01 3.52 48 57.38 3.45 3 58 30 9.09 3.86 34 3.44 3.79 37 53.87 3.72 41 40.30 3.64 45 22.68 3.58 49 0.98; 3.51 2 59 30 13.03 3.92 34 7.31 3.85 37 57.67 3.78 41 44.04 3.71 45 26.36 3.64 49 4.58 3.57 1 60 30 16.97 3.98 34 ll.lg 3.90 38 1.47 3.84 41 47.78 3.77 45 30.04 3.71 49 8.18! 3.63 0 137°+ 13G°+ 135°+ 134°+ 133°+ 132°+ y 317°— 316°— 315°— 314°— 313°— 312°— y 341 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin y. 928°— 229° — 93O°— 931°— 232°— 233°- y 48°+ 49°+ 3O°+ 51°+ 32°+ 33°+ y 1 Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Kil 13. S> 0.53 56 42.90 0.52 0 7.64 0.51 3 27.95' 0.50 6 43.86 0,1- 51 10 49 44.12 0.59 53 17.37 0.58 56 46.35 0.57 0 11.01 0.56 3 31.25 0.55 6 47.09 0.53 50 11 3 49 47.71 0.65 3 53 20.89 0.64 3 56 49.80 0.63 4 0 14.38 0.62 4 3 34*6 0.61 4 6 50.32 0.59 49 12 49 56.30 0.71 53 24.41 0.70 56 53.25 0.68 0 17.75 0.67 3 37.1-6 066 6 53.54 0.64 48 13 49 54.89; 0.77 53 27.93 0.76 56 56.69 0.74 0 21.12 0.73 3 41.16 0.72 (i .'6.76 070 47 14 49 58.48 0.83 53 31.41 0.82 57 0.13 0.80 0 2449 07,- 3 44,16 O.7.- 6 59.98 0.76 46 15 50 2.06 0.89 53 34.95 0.88 57 3.57 0.85 0 27.86 0.84 3 47.76 0.83 7 3.20 O.t'l 45 16 3 50 5.65 0.95 3 53 38.46 0.94 3 57 7.01 0.91 4 0 31.23 0.8!) 4 3 51 06 0.89 4 7 6.42 0.86 44 17 50 9.23 1.01 53 41.97 1.00 57 10.45 0.96 0 34.60. 0.9f 3 54 36 0.94 7 9.64 0.91 43 18 50 12.-1 1.07 53 45.4- 1.06 57 13.89 1.02 0 37.97 1.01 3 57.65 0.9! 7 12.86 O.S7 42 19 50 16.39 1.13 53 4-. 99 1.12 57 17.33 1.08 0 41.3,3 LOT 4 0.94 1.04 7 16.07 1 1 2 41 ! 2J 50 19.97 1.19 53 52,50 1.17 57 20.76 1.14 0 44.61)1 1.11 4 4.23 1.09 7 19.2- 1.07 40 21 3 50 23.55 1.25 3 53 56.01 1.23 3 57 24.20 1.20 4 0 48.051 1.17 4 4 7.52 1.14 4 7 22.49 1.13 39 22 50 27.13 1.31 53 59.52 1.29 57 27.63 1.26 0 51.41 122 4 10.81 1.20 7 25.70 1.18 38 23 5n 3(1.70 1.37 54 3.02 1 .35 57 31.06 1.31 0 54.77 1.2* 4 14.10 1.26 7 28,91 1 2! 37 24 50 33.27 1.43 54 6.52 1.41 57 31,19 1.37 0 58.13 1.3', 4 17.38 1.31 7 32.12 1 2b 36 25 5n 37.84] 1.49 54 10.02 1.47 57 37.92 1.42 1 1.49 1.38 4 20.66 1.37 7 35.33 1.34 35 26 11.41 1 .55 3 54 13.52 1.52 3 57 41. 35 1.48 4 4.85 1.43 4 4 23.94 1.42 4 7 38.54 1.4f 34 27 50 449* 1.61 54 17.02 1 .5- 57 44.78 1 .54 8.21) 1.4! 4 27 28 1.48 7 41 75 1 .4.- 33 28 50 49.55 1.67 54 2o,52 1.64 67 48.21 1.60 1 1 55 1 .5.' 4 30.50 1.54 7 44 !( ] .5( 32 2!) 50 52 12 1.73 51 21.02 1.69 57 51.63 1.66 14.90 1.61 4 33.7* 1.5! 7 4 .-.16 1.55 31 30 50 55.68 1.7- 54 27.51 1.75 57 55.05 1.72 18.25 1.67 4 37.05 1.64 751.36 1.61 30 31 3 50 59 25 1.84 3 54 31.01 1.81 3 57 58.47 1.73 4 21.60 1.73 4 4 40.33 1.70 4 7 54.56' 1.66 29 32 51 2.81 1 .90 51 34.50 ].*7 58 1-9 1.-:: 24! Li 1.7! 4 43.60 1.7." 7 57.76 1.72 28 33 51 6.37 I.IK; 54 37.99 1.93 58 5.31 1.89 28.30 l -.- 4 46.87 1.81 8 0.16 1.7r W 34 51 9.93! 2.02 51 41.48 1.99 58 8.73 1.95 31.64 1.91 4 50.14 1-7 8 4.16 1-4 £6 35 51 13.49 20- 54 44.97 2.05 58 12.15 2.01 34.98 1.97 4 53.41 1.112 8 7.36 1 .*! 25 36 3 51 17.115 2.11 3 54 48.46 2.10 3 58 15.57 2.06 4 38.32 2.03 4 4 56.68 1.98 4 8 10.56 1.94 24 37 51 20.61 2.20 54 51.95 2.16 68 l*.99 2.12 41 6li V ),- 4 59.115 20: ,- 1375 1.91 83 38 51 24.17 54 55.41 2.22 58 22.40 2.18 44!'* 2.1: 3.32 2.0! 8 16! '4 2.f!4 22 39 51 2773 2.32 51 5-.92 2.27 58 25- 1 2.24 48.32 yi- 648 2.14 * 20.13 2.1'! 21 40 51 31.28 2.37 55 2.40 2.33 58 29.22 2.29 51.68 2.2: 9.74 2.19 G 23.32, 2.13 80 41 3 51 34.84 2.43 3 55 5.88 2.39 3 58 32.63 2.35 4 55.02 2 2T 4 13.00 2.2.r 4 8 2651 2.1! 19 42 51 3-39 2.4!) 55 9.36 2.45 58 36.04 2.41 6856 23 1626 2.31 8 29.69 2.2." 18 43 51 41.91 2.55 55 12.84 2.51 58 39.45 247 2 1.6! 2.41 1952 2.30 * :.2-7 2.31 17 44 51 4549 261 55 16.32 8.66 58 42.86 2.52 2 5.02 2 41 22.7* 2.41 8 36.05 2.31 16 45 51 49.04 2.67 55 19-0 2.62 56 I6.2i 2.58 2 8.35 2,51 26.04 2.46 8 39.23 2,12 15 46 3 51 5259 2.73 3 .V, 232- 2.68 3 58 49.67 2.64 4 2 1168 2.57 4 2! '.31 252 4 8 42,11 241 14 47 51 56 1 1 2.79 2.74 58 5307 2.70 2 15.01 86 32.-I 8.58 8 45.5! 251 13 4- 51 59.69 9.85 55 30.23 2-0 58 56.47 2.76 2 18.34 8.6! 35.81 i> 6- ,- 1-77 2.'( 12 49 52 3.23 2.91 55 33.7)1 2-6 5- 59-7 2.81 2 21.67 274 39.1 1 9.6! 1 95 2.61 11 50 52 (,77 2.97 55 37.17 2.92 59 327 ._, ., 2 24.99 2.7! 42.31 2.7- 8 55.11 2) 1 10 51 3 52 in 31 3.03 3 55 40.64 2.98 3 59 6.67 2.92 4 2 . 2-- 4 4556 27: 4 8 58 2! 272 9 52 52 13-5 3.1)9 .V. 41.11 3.04 59 10.07 2.9- 231.61 291 !-,-! 8.8 9 1.46 2.77 8 59 52 1 7.3:' 3.15 55 17.5- 3 10 59 13.47 3.01 234!*6 2.11 52.l'6 2,-' 9 463 8.82 7 64 52 2'i.:':', 321 55 5| o: 3.16 59 ](,-) 3.0! 2 3.- 2- 8.09 5531 29.- 9 7-) 2-7 6 56 MAI 3.27 55 5151 3.22 59 20.2.- 3.15 24160 3.0- 5' 1 9 10.17 5 i 56 3 52 2-.nl 3.33 3 55 57.9- 3 2- 3 59 321 4 2 41.92 3.14 4 6 1.80 3.07 4 9 14.14 2 "- 4 52 31.51 3.3'> 56 1,11 3.33 59 27 i,: 327 2 4*24 3.1! ), MM 3.12 9 I7.:2 3.1 i 3 68 52 3507 3 15 51 i 1.90 33- 3.32 2 51 57 8.94 6 8.28 3 1 - 9 '.'" I: 3.10 2 59 3.51 736 3 II 3.3- ! -7 3.2! 6 1152 8.23 9 2366 :; i: 1 6,1 52 42.13 3.56 56 11-2 351 59 372' 3 I: 2 58.18 3.34 6 14.70 358 9 26.82 3.20 0 131°+ 130°+ 199°+ 198°+ 127°+ 126°+ y 3i r- 31O '— 3O9°— 308°— 3O7°— 306° — 77 TABLE CXXXVII. ARGUMENT 77, Equation = 18500" sin £. 23*°— 235°— 236°— 237°- 238°— 239°— y 54°+ 55'+ 56°+ 57°+ 58°+ 59°+ y Equation. p.p Equation. p.p. Equation. p.p. Equation. p.p Equation. P.P. Equation. p.p. d 4° 9 26.82 0.00 4 12 34131 0.00 4 15 37.19 y 0.00 I 18 35U40 o"oo 4 21 28.89 o!bo 4 24 1759 0.00 60 1 9 29.99 0.05 12 37.40 0.05 15 40.20 0.05 18 38.33 0.05 21 31.74 0.05 24 20.36 005 59 2 9 33.15: 0.10 12 40.49 0.10 15 43.21 0.10 18 41.26 0.10 21 34.59 0.10 24 23.13 0.10 58 3 9 3631 0.15 12 43.57 0.15 15 46.22 0.15 18 44.19 0.15 21 37.44 0.15 24 25.90 0.14 57 4 9 39.471 0.20 12 46.65 0.2') 15 49.22 0.20 18 47.12 0.20 21 40.29 0.20 24 28.67 0.18 56 5 9 42.63 1 0.26 12 49.73 0.25 15 52.22 0.25 18 50.04 025 21 43.14 0.25 24 31 43 0.23 55 6 4 9 45.7:>l 0.31 4 12 5281 0.30 4 15 55.22 030 4 18 52.07 0.30 4 21 45.99 0.29 4 24 34.20 028 54 7 9 48.95 0.36 12 55.00 035 15 58.22 0.35 18 55.89 0.35 21 48.83 0.34 24 T6!6 032 53 8 9 52.10J 0.42 12 58.97 0.40 16 1.22 0.40 18 58.81 0.40 21 5167 0.38 24 39.72 0.37 52 9 9 55.25 0.47 13 2.04 045 16 4.22 0.45 19 1.73 0.44 21 54.51 0.42 24 42.48 0.42 51 10 9 58.40 0.52 13 5.11 0.51 16 7.22 050 19 465 0.48 21 57.35 0.47 24 45.24 0.46 50 n 4 10 1.55 0.58 4 13 8.18 0.56 4 16 10.22 0.55 4 19 7.57 0.53 4 22 0.19 0.52 4 24 48.00 0.51 49 12 10 4.70! 0.63 13 11.25 0.61 16 13.21 0.60 19 10.49 0.57 22 3.03 0.57 24 50.76 0.56 48 13 10 7.84 0.6!) 13 14.32 0.66 16 16.20 0.65 19 13.40 0.62 22 5.86 0.61 24 53,52 0.60 47 14 10 10.96 0.74 13 17.3!) 0.71 16 19.19 070 19 16.31 0.67 22 869 0.66 24 f,6.27 0.65 46 15 10 14.12 0.7!) 13 20.46 0.76 16 22.18 0.75 19 1922 0.72 22 11.52 0.70 24 59.021 0.70 45 16 4 10 17.26 0.84 4 13 23.53 081 4 16 25.17 0.80 4 19 22.13 0.77 4 22 14.35 0.75 4 25 1.78 0.74 44 17 10 21.40 0.89 13 26.60 0.86 16 28 16 0.85 19 25.04 0.82 22 17.18 0.80 25 4.53 0.79 43 18 10 2:i.54 0.94 13 2966 0.91 16 31,15 0.90 19 27.95 0.87 22 20.01 0.85 25 7.28 0.83 42 1!) ID 2o.6S 0.99 13 32.72 0.96 16 34.13 0.95 19 30.86 O.r.2 22 22.81 O.H" 8.-. ' 0.' 3 0.87 41 20 10 2.).82 1.04 13 35.78 1.02 16 37.11 0.99 19 33.76 0.96 22 25.66 0.94 25 12.76 0.91 40 21 4 10 32.06 .10 4 13 38.84 1.07 4 16 40.09 1.04 4 19 36.67 r.oi 4 22 28.49 0.99 4 25 15.51 0.96 39 22 10 36 10 .15 13 41.90 1.12 16 43.07 1.09 19 39.57 105 22 31.31 1.03 25 18.25 1.00 38 23 10 39.23 .20 13 44.96 1.17 16 46 05 1.14 19 42.47 1.10 22 34.13 l.OR 25 20.99 1.05 37 24 10 42.36| .26 13 48.02 1 .22 16 49.03 1.19 19 45.37 1 15 22 36.95 .12 25 ^.1.73 l.lt 36 25 10 45.49 .31 13 51 07 1.27 16 52.01 1.24 19 48.27 ISO 22 39.77 .17 25 2647 1.14 35 26 4 10 4862' .36 4 13 54.13 1.32 4 16 54.99 1.29 4 19 51.17 1.25, 4 22 42.59 .22 4 25 29.21 l.lfl 34 27 10 51.75] 41 13 57.18 1.37 16 57.97 1.34 19 54.07 1.30 22 45.41 .26 25 31.95 1.24 o3 28 10 54.88; .46 14 0.23 1.42 17 0.94 1.39 19 5696 1.35 22 48.23 .3(1 25 34.68 1.28 32 23 10 58.011 .51 14 3.28 1.47 17 3.91 1.44 19 59.85 1.40 22 51.04 135 25 37.41 1.33 31 30 11 1.14 .57 14 6.33 152 17 688 1.49 20 2.74 1.45 22 53.85 1.40 25 40.14 1.37 30 31 4 11 4.27 .63 4 14 9.38 1.57 4 17 9.85 1.54 4 20 5.63 1.50 4 S2 ."666 1.45 4 95 4287 1 -'2 29 32 1 1 7.40! .6^ 14 124:! 1.62 17 12.82 1.59 L>0 c.52 1 .55 22 59.47 1.50 25 4.", 60 l.-iti 28 33 11 10.52 .74 14 15.48 1.67 17 15.79 1.64 20 11.41 1.60 23 2.28 1.55 25 48.33 1.51 27 34 11 13.64; 1.80 14 18.52 1.72 17 18.76 1.69 20 14.30 1.65 23 5.09 1.59 25 51.06 1.56 26 35 11 16.76 1.85 14 21.56 1.77 17 21.72 1.74 20 17.18 1.70 23 7.89 1.64 25 53 78 1.6U 25 36 4 11 19.88 1.90 4 14 2460 1.82 4 17 24.6- 1.79 4 20 20.07 1.74 4 23-10.70 1.68 4 25 56.51 1.65 24 37 11 23.00 1.95 14 27.64 1.87 17 27.64 1.84 20 22.95 1.79 23 13.50 1.73 25 5923 169 23 38 11 26.12 2.00 14 3068 1.92 17 30.60 1.89 20 25.83 1.84 23 1630 1.77 26 1.95 1.74 22 39 11 29.23 2.05 14 3372 1.97 17 33.56 1.94 2') 28 71 1.88 23 19.10 1.P2 iT, 467 1.78 21 40 11 32.34 2.09 14 3675 2.03 17 36.52 1.!'8 20 31.59 1.93 23 21.90 ic7 26 7.39 182 20 41 4 11 35.45 2.14 4 14 39.79 2.08 4 17 39.48 2.03 4 20 34.47 1.98 4 23 24.70 1.92 4 26 10.11 1.87 19 42 11 38.56 2.19 14 42.82 2.13 17 42.44 2.08 20 37.35 2.02 23 27.50 1.96 26 1283 1.91 18 43 11 4167 2.25 14 45.85 2.18 17 45.39 2.13 20 40.22 2.07 23 30.29 2.01 26 15.54 1.96 17 j 44 11 44.77 2.30 14 48.88 2.23 17 48.34 2.18 20 43.09 2.12 23 33.08 206 26 18.25 2.00 16 45 11 47.89 2.35 14 51.91 2.28 17 51 29 2.23 20 45.96 2.17 23 35.87 2.10 26 20.96 2.05 15 1 46 4 11 50.98 2.40 4 14 54.95 233 4 17 54.24 228 4 20 48.83 2.21 4 23 38.66 2.15 4 26 23.67 2.09 14 47 11 54.08 2.45 14 57.97 2.38 17 57.19 2.33 20 51.70 2.26 23 41.45 2.20 26 26.38 2.14 13 48 11 57.18 2.50 15 1.00 243 18 0.14 2.38 20 54.57 231 23 44.24 2.24 26 29.09 2.1 H 12 49 12 0.28 2.55 15 4.02 2.48 18 3.09 2.43 20 57.44 2.36 23 47.03 2.29 26 31.79 2.23 11 50 12 3.38 261 15 7.04 2.54 18 603 2.48 21 0.30 2.41 23 49.81 2.34 26 34.49 2.28 10 51 4 12 6.48 2.67 4 15 10.06 2.59 4 18 8.97 2.53 4 21 3.17 2.46 4 23 52.60 2.39 4 26 37.19 2.32 9 52 12 9.58 2.72 15 13.08 2.64 18 11.91 2.58 21 6.04 2.50 23 55.38 2.43 26 39.89 2.36 8 53 12 1268 2.77 15 16.10 2.69 18 14.85 2.63 21 8.89 2.55 23 58.16 2.48 26 42.59 2.41 7 54 12 15.77 2.82 15 19.12 2.74 18 17.79 2.68 21 11.75 2.60 24 0.94 2.52 26 45.29 2.46 6 55 12 18.86 2.87 15 22.13 2.79 18 20.73 2.73 21 14.61 2.65 24 3.72 2.56 26 47.99 2.50 5 56 4 12 21.115 2.92 4 15 25. 1.r 2.84 4 18 23.67 2.78 4 21 17.47 2.70 4 24 6.50 2.61 4 26 50.69 2.54 4 57 12 25.04 2.97 15 28.16 2.89 18 26.61 2.83 21 20.33 2.75 24 9.28 2.66 26 53.39 2.58 3 58 12 28.13 3.02 15 31.17 2.94 18 29.54 2.88 21 23.19 2.80 24 12.05 2.71 26 56.09 9.63 2 59 12 31.22 3.08 15 34.1s 2.99 18 32.4T 2.93 21 26.04 2.85 24 14.82 276 26 5* 78 2.68 1 60 12 34.31 3.13 15 37.19 3.05 18 35.40 2.98 . 21 28.89 2.89 24 17.59 2.81 27 1.48 2.71! 0 125°+ 194°+ 123°+ 122°+ 121°+ 12O°+ y 305°— 3O4°— 303°- 302°— 3O1°— 30O°— y 343 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" gin y. y 240°- 6O°+ 241°— 61°+ 242°- 62°+ 24»°— 63°+ 244°— 64°+ 245°- «5°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. P.P. Equation. P.P. Kijuation. p.p. 0 4 27 i'.47 n 0.00 4° 29 4(')'.47 0.00 O 1 tf 4 32 14.53 0.00 4° 34 43(12 0.00 4° 37 7.68 0.00 4 39 26.69 d'.oo 60 1 27 4.16 0.05 29 43.08 0.05 32 17.06 0.04 34 46(16 0.04 37 10.04 0.04 39 2.-. 96 0.04 59 2 •27 6-5 0.10 2.1 4.Y69 0.10 32 19.59 0.08 34 48.50 0.08 37 1239 0.08 39 31.23 0.08 58 3 27 954 0.14 29 48.30 0.14 32 22.11 0.12 34 50.94 0.12 37 1474 0.12 39 33.50 0.12 57 4 27 12.2:$ 0.18 29 5(1.90 0.19 32 24.63 0.16 34 53.3.- 0.16 37 17.09 0.16 39 '35.77 0.16 56 5 27 14.91 0.22 29 53.50 0.23 32 27.15 0.20 34 55.- 1 0.20 37 19.45 0.20 39 :^.<.\ o.2ii 55 6 4 27 17.r>!i 0.27 4 29 56. JO 0.27 4 32 29.67 0.25 4 34 58.25 0.24 4 37 21, -il 0.24 4 39 40.31 0.23 54 7 27 2(1.27 0.32 29 58.70 0.31 32 32.19 0.29 35 0.68 0.28 37 24.15 0.28 39 42.58 0.27 53 8 27 2295 0.36 30 1.30 0.35 32 34.71 0.33 35 3.11 0.32 37 26.501 0.32 39 44.84 0.30 52 9 27 25.63 0.40 30 3.90 0.39 32 37.22 0.38 35 5.54 0.36 37 2- -:. 0.36 39 47.10 (1.31 51 10 27 28.31 0.44 30 6.49 0.43 32 39.73 0.42 35 7.97 0.40 37 31.19 0.39 39 49.36 0.37 50 11 4 27 30.99 0.48 4 30 9J09 0.47 4 32 42.24 0.46 4 35 10.40 0.44 4 37 33.S4 0.43 4 39 51.62 0.40 49 12 27 33.67 0.52 30 1 1 6- 0.52 32 44.75 0.50 35 12. -3 0.48 37 3.Y.-9 0.47 39 53.88 0.44 48 13 27 36.34 0.57 30 14.27 0.56 32 47.26 0.54 3.-, 15.26 0.52 37 3,- .23 0.51 39 56.14 0.48 47 14 27 39.01 0.61 30 16.86 0.60 32 49.77 0.58 35 17.69 0.56 37 40.57 (l,->5 39 58.40 0.52 46 15 27 41.68 0.66 30 19.45 0.64 32 52.27 0.62 35 20.11 0.60 37 42.91 0.59 40 0.65 0.65 45 16 4 27 44.35 0.70 4 30 22.04 0.68 4 32 54.78 0.66 4 35 22.53 0.64 4 37 45.25 0.63 4 40 2.90 0,71 44 17 27 4702 0.74 30 24.63 0.73 32 57.28 0.70 35 24.95 0.68 37 47.59 0.67 40 5.15 0.63 43 18 •27 49.69 0.78 30 27.22 0.78 32 59.78 0.74 35 27.37 0.72 37 49.93 0.70 40 7.40 066 42 19 27 52 :r> 0.83 30 29. -il O.H2 33 2.28 0.78 a<5 29.79 0.76 37 52.26 0.74 40 9.65 0.7(1 41 20 27 55.01 0.88 30 32.38 0.86 33 4.78 0.83 35 32.21 0.80 37 54.59 0.77 40 11.90 0.74 40 M 4 27 57.67 0.93 4 30 34 96 0.90 4 33 7.28 0.87 4 35 34.63 0.84 4 37 56.92 0.81 4 40 14.15 0.78 39 22 2- 0.33 0.97 30 37.54 0.94 33 9.78 0.91 35 37.04 0.88 37 59.25 a-:, 40 16.39 II.-.' 3$ 21! 28 2.99 1.02 30 40.12 0.98 33 12.28 0.96 35 39.45 0.92 38 1.58 0.89 40 !Mi3 0.^-5 37 24 28 5.65 1.07 30 42.70 1.03 33 14.77 .00 35 41. -6 0.96 38 3.91 0.93 40 20.87' 0.89 36 8 28 8.31 1.11 30 45.27 1.08 33 17.26 .04 35 44.27 1.00 38 6.23 0.97 40 23.11 0.93 35 26 4 28 10.97 l.lli 4 30 47.84 1.12 4 33 1975 .08 4 35 46.68 1.04 4 38 8.55 1.01 4 40 25.35 0.97 34 27 28 13.63 1.20 30 50.41 1.16 33 22.24 .12 35 49.08 I.OS 38 10.87 1.05 40 27.59 .00 :,:; 28 28 16.2- 1.25 30 53.98 1.20 33 21.73 .16 35 51.48 1.12 3s 13.19 1.09 40 29 >3 .04 32 2!) 36 I-.93 1.29 30 55.55 1.24 33 27 22 .20 35 53 ss 1.16 :',- 15.51 1 13 40 31.C6 .Of 31 30 28 1.33 30 58.12 1.28 33 29.70 .25 35 56.28 i.a> ::- 17.-.' 1.16 40 34.29 .12 30 31 4 28 24.23 1.38 4 31 0.69 1.32 4 33 32.19 .31 4 35 58.68 1.24 4 38 20.14 1.20 4 40 36.62 .iii 2!) 32 98 2l, -- 1.43 31 3.2li 1.36 33 31 .67 .35 36 1.08 1.28 38 2S.4S 1 .24 40 38.K5 .20 28 33 2- 29.53 147 31 5.89 1.41 33 37.15 39 36 3.1- 1.32 38 21.76 1 .'J- 40 41.08 .23 27 34 28 32.18 1.52 31 -:!- 1.46 33 39.63 .43 36 6.87 1.3(i 38 27.07 1.32 40 43.31 .27 26 35 28 34.82 1.56 31 10.94 1.50 33 42.11 .47 36 8.26 1.40 38 29.38 1.36 40 45.43 .30 25 36 4 28 37.46 1.61 4 31 13.50 1.54 4 33 4I,".9 SI 4 36 10.65 1.44 4 38 31.69 .40 4 40 47.65 .34 24 37 28 40.10 1.65 31 16.06 1.58 33 47.07 .55 36 13.04 11- 38 34.00 .44 40 49,-7 38 23 38 K 12 ; i .69 31 18.62 1.63 33 49.54 .59 36 15.43 1 £9 3- 36.31 1- 40 52.09 II 22 w 96 i . '- .73 31 21.1* 1.67 33 :,1-1 .63 36 17 33 i ,-.t; 38 38.61 69 40 54.31 .46 21 41) 28 4-i2 .77 31 23.73 1.71 33 54.48 .66 36 20.21 Mill 38 40.91 .55 40 56.53 .49 2(i 41 4 28 50.66 .82 4 31 26.28 175 4 33 56.9.-, .70 4 36 22.60 1.64 4 38 43.21 .59 4 40 58.75 .53 19 42 .86 31 •_'- 33 I.-'O 33 59 12 .74 36 24.99 1.6- 3- 4551 (i:', 41 0.97 .57 18 43 .91 31 31.3- 1.84 34 1 89 7- 36 27 :',-' 1.79 38 47.81 .67 41 3.18 ,60 17 44 .96 31 33.93 1.88 34 •!.:«; .82 36 29.76 1.76 38 50.11 .71 41 5.39 .64 16 45 29 1.18 2.00 31 36,1." 1.92 34 (i-.' .86 36 32.14 130 38 52.41 .75 41 7.60 68 15 46 4 29 2.04 4 31 39.1)3 1.% 4 34 9.29 .92 4 36 34.68 1.84 4 38 51.71 .79 4 41 9-1 .71 14 47 -.':i (ill 9,09 31 41.:.- 2.01 34 11.75 as 36 36.JNI 1 -- 3- 57.01 -:: 41 1211-.' 71 13 1- 99 '.'"7 2.13 31 44.12 2.06 34 14.21 2.00 :«; 39.2- 1.92 3.- 59.311 .H7 41 14 .23 .7- 12 40 99 11.69 2.17 31 1666 2.10 34 16.67 9.04 36 41 .66 1 96 39 1.59 .91 41 16 13 11 BO 29 1 1.31 2.21 31 49.20 2.14 34 19.13 211- 36 44.03 2.00 39 3— 1.94 41 1-.63 ,-6 10 51 4 29 1 •1 31 51.74 2.19 4 34 21.59 2.12 4 36 46.40 2.04 4 39 6.17 1.98 4 41 20-3 90 9 29 19.55 2.30 31 :,I2- 2.23 31 24.05 9.16 36 4-77 2.06 39 8.46 9.09 41 " .93 8 99 28 13 2 3.-, 31 5682 2.27 34 2'.:,'i 2.20 36 51 II 2.12 39 10.75 2.06 41 25.23 .97 7 99 94.79 31 59.x, 2.32 34 2-.9.;, '."-'I 36 53.51 2.16 39 13.113 2.10 41 27,13 2.00 6 EG •.' ' 27.41 2.44 32 I.*" 2.:!(i 31 3I.4H 22- 36 2.20 39 15.31 2.14 41 29.(i3 2.04 6 i 21 30.03 •.' i- 4 32 4.41 2.40 4 34 33,-:, 2.32 4 36 58.24 2.24 4 39 17.59 9.18 4 41 31 83 946 4 99 :'.•-' (il 251 6.94 211 31 9.36 37 0.60 39 19-7 41 31 82 2.12 3 •.' ' 35.25 •l 58 32 9,13 24- 34 38.74 2.40 37 2.96 232 39 41 3621 9.16 2 BO .,,,, 32 19.00 31 41.18 2.44 37 9.36 39 24 I'.' •-'•-'" •11 3.-.40 2SO 1 60 2ii -in ir 2.65 32 14.53 257 34 43.62] 2.49 37 7.68 2.40 39 26 I.1' 41 4059 2.23 0 119°+ 118°+ 117°+ 116°+ 113°+ 114°+ y 299°— 298°- 297°— 296°— 295°— 294°- y 344 TABLE CXXXVII. ARGUMENT 77, Equation = 18500" sin y. 246°— 247°— 248°— 249'— 25O°— 251°— y 66°+ 67°+ 68°+ 69'+ 7O°+ 71°+ y Equation. p.p. Equation. p.p. Equation. p. p. Equation. p.p. Equation. p.p. Equation. p.p. 0 4° 41 40"59 0.00 I 43 40".34 0.00 4 45 52.00 o.'oo O 1 H 4 47 51.23 o!oo O 1 n 4 40 44.31 0.00 4 51 32.10 0.00 GO 1 41 42.78 0.04 43 51.44 0.04 45 54.02 0.03 47 53.16 0.03 40 46.15 0.03 51 33.85 0.03 59 2 41 44.97 0.08 43 53.54 0.08 45 56.03 0.06 47 55.09 0.06 40 47.99 0.06 51 35.60 0.06 58 3 41 47.16 0.12 43 55.64 0.11 45 58.04 0.00 47 57.01 0.00 49 49.83 0.00 51 37.35 0.09 57 4 41 4!).:!4 0.15 43 57.74 0.14 46 0.95 0.12 47 58.93 0.12 49 51.66 0.12 51 3il.( 1:1 0.12 56 5 41 51.52 0.18 43 59.84 0.18 46 2.96 0.16 48 0.85 0.15 49 53.49 0.15 51 40.83 0.15 55 6 4 41 53.70 0.22 4 44 1.94 0.21 4 46 4.97 0.20 4 48 2.77 0.18 4 49 55.32 0.18 4 51 42.57 0.18 54 7 41 55.88 0.25 44 4.03 0.25 46 6.98 033 48 4.69 0.21 49 57.15 0.21 51 44.31 0.21 53 8 41 58.06 0.20 44 6.12 0.28 46 8.98 0.26 48 6.61 0.24 49 58.98 0.24 51 46.05 0.24 52 9 42 0.24 0.33 44 8.21 0.31 46 10.98 0.30 48 8.53 0.28 50 0.81 0.27 51 47.79 0.27 51 10 42 2.41 0.36 44 10.30 0.34 46 12.98 0.33 48 10.44 0.32 50 2.64 0.30 51 49.53 0.20 50 11 4 42 4.53 0.40 4 44 12.39 0.38 4 46 14.98 0.36 4 48 12.35 0.35 4 50 4.47 0.33 4 51 51.27 0.32 49 13 42 6.75 0.43 44 14.48 0.41 46 16.98 0.40 48 14.26 0.38 50 6.30 0.36 51 53.00 0.35 48 13 42 8.92 0.47 44 16.56 0.44 46 18.98 0.43 48 16.17 0.41 50 8.12 0.39 51 54.73 0.38 47 14 42 11.00 0.51 44 18.64 0.48 46 20.97 0.47 48 18.08 0.44 50 9.94 0.42 51 56.46 0.41 46 15 42 13.26 0.54 44 20.72 0.52 46 22.97 0.50 48 19.99 0.47 50 11.76 0.45 51 58.19 0.43 45 16 4 42 15.43 0.58 4 44 22.80 0.55 4 46 24.97 0.53 4 48 21.90 0.50 4 50 13.58 0.48 4 51 59.92 0.46 44 17 42 17.60 0.62 44 24.88 0.58 46 26.96 0.56 48 23.81 0.53 50 15.40 0.51 52 1.65 0.40 43 18 42 10.76 0.66 44 26.06 0.61 46 28.95 0.60 48 25.71 0.56 50 17.22 0.54 52 3.38 0.51 42 19 42 21.02 0.60 44 29.04 0.65 46 30.94 0.63 48 27.61 0.60 50 19.03 0.57 52 5.10 0.54 41 20 42 24.08 0.72 44 31.11 0.60 46 32.93 0.66 48 29.51 0.63 50 20.84 0.60 52 6.82 0.57 40 21 4 42 26.24 0.76 4 44 33.18 0.72 4 46 34.02 0.69 4 48 31.41 0.66 4 50 22.65 0.63 4 52 8.54 0.60 39 •w 42 28.40 0.80 44 35.25 0.76 46 36.91 0.73 48 33.31 0.60 50 24.46 0.66 52 10.26 0.63 38 23 42 30.56 0.83 44 37.32 0.80 46 38.89 0.76 48 35.21 0.72 50 26.27 0.69 52 11.98 0.66 37 2-1 42 32.71 0.86 44 39.39 0.83 46 40.87 0.80 48 37.10 0.75 50 28.08 0.72 52 13.70 0.60 36 25 42 34.86 0.90 44 41.46 0.87 46 42.85 0.83 48 38.99 0.78 50 29.88 0.75 52 15.42 0.72 35 26 4 42 37.01 0.94 4 44 43.53 0.90 4 46 44.83 0.86 4 48 40.88 0.81 4 50 31.68 0.78 4 52 17.14 0.75 34 27 42 30.16 0.98 44 45.50 094 46 46.81 0.90 48 42.77 0.84 50 33.48 0.81 52 18.86 0.78 33 28 42 41.31 1.01 44 47.65 0.97 46 48.78 0.93 48 44.66 0.88 50 35.28 0.84 52 20.57 0.81 32 20 42 415.46 1.04 44 49.71 1.00 46 50.75 0.06 48 46.54 0.91 50 37.08 0.87 52 22.28 0.84 31 30 42 45.61 1.07 44 51.77 1.03 46 52.72 0.99 48 48.42 0.95 50 38.87 0.90 52 23.99 .0.86 30 31 4 42 47.76 1. 11 4 44 53.83 1.07 4 46 5460 1.02 4 48 50.30 0.98 4 50 40.67 0.93 4 52 2570 0.89 29 32 42 40.01 1.14 44 55 89 1.11 46 56.66 1.06 48 52.18 1.01 50 42.46 0.96 52 27.41 0.02 28 33 42 52.05 1.18 44 57.95 1.14 46 58.63 .00 48 54.06 1.04 50 44.25 0.99 52 20.12 0.94 27 34 42 54.10 1.22 45 0.00 1.17 47 0.60 .12 48 55.94 1.07 50 46.04 1.02 52 30.82 0.07 26 35 42 56.33 1.25 45 2.05 1.20 47 2.56 .16 48 57.82 1.10 50 47.83 1.05 52 32.52 1.00 25 36 4 42 58.47 1.28 4 45 4.10 1.24 4 47 4.53 .19 4 48 59.70 1.13 4 50 49.62 1.08 4 52 34 22 1.03 24 37 43 0.61 1.32 45 6.15 1.27 47 6.40 .23 49 1.58 1.16 50 51.41 III 52 35.02 1.06 23 38 43 2.75 1.36 45 820 1.30 47 8.45 .26 49 3.45 1.19 50 53.20 1.14 52 37.62 1.09 22 3!) 43 4.88 1.30 45 10.25 1.33 47 10.41 .29 49 5.32 1.22 50 54.08 1.17 - 52 30.31 1.11 21 40 43 7.01 1.43 45 12.2!) 1.37 47 12.37 .32 49 7.19 1.26 50 56.76 1.20 52 41.00 1.14 20 41 4 43 9.14 1.47 4 45 14.34 1.40 4 47 14.33 .35 4 49 9.06 1.29 4 50 58.54 1.23 4 52 4269 1.17 19 42 43 11.27 1.50 45 16.38 1.44 47 16.20 .38 49 10.93 1.32 51 0.32 1.26 52 44.38 1.20 18 43 43 13.40 1.54 45 18.42 1.47 47 18.24 .42 40 12.80 1.35 51 2.10 1.29 52 46.07 1.22 17 44 43 15.52 1.57 45 20.46 1.50 47 20.10 45 40 14.67 1.38 51 3.87 1.32 52 47.75 .25 16 45 43 17.64 1.60 45 22.50 1.54 47 22.14 .48 40 16.53 1.41 51 5.05 1.35 52 49.93 .28 15 46 4 43 10.76 .63 4 45 24.54 1.58 4 47 24.00 .51 4 49 18.39 1.44 4 51 743 1.38 4 52 51.11 .31 14 47 4:1 -21 .8H .67 45 26.58 1.61 47 26.04 .54 40 20.25 .47 51 9.20 1.41 52 52.79 .34 13 48 43 24.00 .71 45 28.61 1.64 47 27.09 .57 49 22.11 .50 51 10.97 1.44 52 54.47 .37 12 49 43 26.12 .75 45 30.64 1.68 47 29.93 61 40 23.87 .53 51 12.74 1.47 52 56.15 .40 11 50 43 28.24 .79 45 32.67 1.72 47 31.87 .65 40 25.83 .57 51 14.51 1.50 52 57.83 .43 10 51 4 43 30 36 .83 4 45 34.70 1.76 4 47 33.81 .68 4 40 27.60 .60 4 51 16.28 1.53 4 52 59.51 .46 9 52 43 3248! .86 45 3(1.73 1.79 47 35.75 .72 49 20.54 .63 51 18.05 l.r,6 53 1.10 .40 8 53 43 3459i .00 45 38.76 1.83 47 3760 .75 49 31.39 .66 51 10.8.1 1.59 53 2.86 .52 7 54 43 36.70 .94 45 40.78 1.86 47 30.63 .79 49 33.24 .60 51 21.57 1.62 53 4.53| .54 6 55 43 3si.81 .98 45 42.80 1.90 47 41.57 .81 49 35.09 .72 51 23.33 1.65 53 6.20 .57 5 56 4 43 40.02 2.01 4 45 44.82 1.03 4 47 43.51 .84 4 49 36.94 .75 4 51 25.00 1.68 4 53 7.87 .60 4 57 43 43.113 2.05 45 46.84 1.07 47 45.44 .87 49 38.70 .78 51 26.85 1.71 53 9.54 i .63 3 58 43 45.14 2.00 45 48.86 2.00 47 47.37 .90 49 40.63 .82 51 28.60 1.74 53 11.211 .(i(i 2 59 43 47.24 2.12 45 50.88 2.03 47 49.30 .94 49 42.47 .85 51 30.35 1.77 53 12.88J .60 1 60 43 40.34 345 45 52.90 2.06 47 51.23 1.98 40 44.31 .80 51 32.10 1.80 53 14.54 1. 71 0 113°+ 112°+ 1U°+ 110°+ 109°+ 108°+ y 293°- 292°— 291°- 29O°— 289°— 288°— y 345 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" gin y. 253'— 253°- 254°— 255°— 256°— 257°— 9 72°+ 73'+ 74°+ 73°+ 76°+ 77°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. P.P. 0 4° 53 14.54 tf.00 o / j| 4 54 51.64 o'.oo O 1 11 4 56 23.35 0.00 4° 57 49.63 o'.oo 4 59 10.47 0.00 O 1 II 5 0 25.84 0.00 60 1 53 16.20 0.03 54 53.21 0.03 56 24.83 0.03 57 51.02 0.02 59 11.77 0.02 0 27.04 0.02 59 2 r,:s 17.86 0.06 54 54.78 0.06 56 26.31 O.U6 57 52.41 0.04 59 13.07 0.04 0 28.25 0.04 68 3 53 l!i.52 0.09 54 56.35 0.09 56 27.79 0.08 57 53.80 0.07 59 14.37 0.06 0 29.46 O.f6 57 4 53 21.lf> 0.12 54 57.92 0.12 56 29.27 0.11 57 55.19 0.09 59 15.67 0.08 0 30.67 0.08 56 5 513 22.84, 0.15 54 59.49 0.14 56 30.75 0.13 57 56.58 0.12 59 16.96 0.10 0 31.fe8 0.1U 55 6 4 53 24.50 0.17 4 55 1.06 0.17 4 56 32.23 0.15 4 57 57.97 0.14 4 59 18.25 0.12 5 0 33.08 0.12 54 7 53 26.15 0.20 55 2.62 0.20 56 33.70 0.18 57 59.35 0.17 59 19.54 0.14 0 34.28 0.14 53 8 53 27V8D 0.23 55 4.18 0.22 56 35.17 0.20 58 0.73 0.19 59 20.83 0.17 0 35.48 0.16 52 9 53 29.45 0.25 55 5.74 0.24 56 36.64 0.22 58 2.11 0.21 59 22.12 0.19 0 36.68 0.18 51 10 53 31.10 057 55 7.30 0.26 56 38.11 0.24 58 3.49 0.23 59 23.41 0.21 0 37.88 U.I!) 50 11 4 53 32.75 0.30 4 55 8.86 0.28 4 56 39.58 0.27 4 58 4.87 0.25 4 59 24.70 0.23 5 0 39.07 0.21 49 12 53 34.40 0.32 55 10.42 0.31 56 41.05 0.30 58 6.24 0.27 59 25.99 0.25 0 40.26 0.23 48 13 53 36.04 0.35 55 11.97 0.34 56 42.51 0.32 58 7.61 0.30 59 27.27 0.27 0 41.45 025 47 14 53 37.64 0.37 55 13.52 0.36 56 43.97 0.3-1 58 8.98 0.32 59 28.55 0.29 0 42.04 0.27 46 15 53 39.32 0.40 55 15.07 0.38 56 45.43 0.36 58 10.35 0.34 59 29.83 0.32 0 43.83 0.29 45 16 4 53 40.96 0.4?" 4 55 16.62 0.41 4 56 46.89 0.38 4 58 11.72 0.37 4 59 31.11 0.34 5 0 45.02 0.31 44 17 53 4260 0.4a 55 18.17 0.43 56 48.35 0.41 58 13.09 0.39 59 32.39 0.36 0 46.21 0.33 43 18 53 44.24 0.48 55 19.7:> 0.45 56 49.81 0.43 58 J4.45 0.41 59 33.67 0.38 0 47.39 0.35 42 w 53 4588 0.51 55 21.26 0.48 56 51.27 0.45 58 15.81 0.43 59 34.94 0.40 0 48.57 0.37 41 21 53 47.51 0.54 55 22.80 051 56 52.72 0.48 58 17.17 0.45 59 36.21 0.42 0 49.75 0.39 40 21 4 53 49.14 0.57 4 55 24.34 0.54 4 56 54.17 0.51 4 58 18.53 0.47 4 59 37.48 0.44 5 0 50.93 0.41 39 22 53 50.77 0.60 55 25.88 0.57 56 55.62 0.53 58 19.89 0.49 59 38.75 0.46 0 52.11 0.43 1)8 23 53 52.40 0.63 55 27.42 0.60 56 57.07 0.56 58 21.25 0.52 59 40.02 0.48 0 53.29 0.45 37 24 53 54.03 0.65 55 28.96 0.62 56 58.52 0.58 58 22.61 0.54 59 41.29 0.50 0 54.46 0.47 36 25 53 55.66 0.68 55 30.50 0.65 56 59.97 0.60 58 23.96 0.56 59 42.55 0.53 0 55.63 0.49 35 26 4 53 57.28 0.71 4 55 32.04 0.68 4 57 1.41 0.63 4 58 25.32 0.59 4 59 43.81 0.55 5 0 56.80 0.51 34 27 53 ,>.!MI 0.73 55 33.58 0.70 57 2.85 0.65 58 26.68 0.61 59 45.117 0.57 0 57.H7 0.53 33 28 54 052 0.76 55 35.11 0.72 57 4.29 0.68 58 28.03 0.63 59 46.33 0.69 0 59.14 0.55 32 2!» 54 2.14 0.79 55 36.64 0.74 57 5.73 0.70 68 29.38 0.65 59 47.59 0.61 1 0.31 0.57 31 30 54 3.76 0.81 55 38.17 0.76 57 7.17 0.72 58 30.73 0.68 59 48.84 0.63 1 1.47 0.58 30 31 4 54 5.33 0.84 4 55 39.70 0.79 4 57 8.61 0.75 4 58 32.08 0.70 4 59 50.17 0.65 5 1 2.G3 0.60 29 32 54 7JOO 0.86 55 41.23 0.81 57 10.05 0.77 58 33.43 0.72 59 51.35 0.67 1 3.79 0.62 28 33 54 8.61 0.89 55 42.76 0.84 57 11.48 0.80 58 34.78 0.75 59 52.6( 0.69 1 4.95 0.64 27 34 54 10.22 0.92 55 44.28 0.86 57 12.91 0.82 58 36.12 0.77 59 53.85 0.72 1 6.11 0.66 96 35 54 11.83 0.95 55 45.80 0.88 57 14.34 0.84 58 37.46 0.79 59 55.10 0.74 1 7.27 0.68 25 36 4 54 13.44 0.97 4 55 47.32 0.91 4 57 15.77 0.87 4 58 38.80 0.81 4 59 56.35 0.76 5 1 8.43 0.70 24 37 54 15.05 1.00 55 48.84 0.94 57 1750 0.90 58 40.14 0.83 59 57.60 0.78 1 9.59 0.72 93 38 54 16.66 1.03 55 50.36 1.97 57 18.63 0.92 58 41.48 0.85 59 58.84 0.80 1 10.74 0.74 22 39 54 18.27 1.06 55 51.88 1.00 57 20.05 0.94 58 42.81 0.87 5 0 0.08 0.82 1 11.89 (1.76 21 40 54 19.87 1.08 55 53.39 1.02 57 21.47 0.96 58 44.14 0.90 0 1.32 0.84 1 13.04 0.77 20 41 4 54 21.47 1.11 4 55 54.90 1.05 4 57 2259 0.98 4 58 45.47 0.92 5 0 2.r,6 0.86 5 14.19 0.79 1!) 42 54 23.07 1.14 55 56.41 1.07 57 24.31 .00 58 46.80 0.94 0 3.80 0.88 15.34 0.81 18 43 54 24.li7 1.16 55 57.! 12 1.10 57 25.73 .03 58 48.13 0.97 0 5.04 0.90 16.49 0.83 17 44 54 26.27 1.19 55 5!i. l:i 1.12 57 27.15 .05 58 49.45 0.99 0 6.28 0.93 17.63 0.85 16 45 54 27.87 i.yi 56 0.93 1.14 57 28.57 .08 58 50.77 1.01 0 7.51 0.95 18.77 0.87 15 46 4 54 29,17 1.24 4 5G 1.44 1.17 4 57 29.98 .10 4 58 52.09 .04 5 0 8.74 0.97 5 19.91 0.89 14 47 54 :II.IH, 1.27 56 3.94 1.19 57 31.39 .12 58 53.41 .06 0 9.97 0.99 21.05 0.91 13 4- .M :!•.'.<;:, 1.29 56 5.44 1.22 57 M.*) .15 58 54.73 .09 0 11.20 1.01 22.19 0.93 12 49 54 34.24 1.32 56 6.94 1.36 57 33.21 .18 :,- 56.05 .11 0 12.43 1.03 23.33 0.96 11 50 54 35.83 1.35 56 8.44 1.28 57 35.62 .20 58 57.117 .13 0 13.66 1.05 2-1.46 0.1)7 10 51 4 54 37.42 1.38 4 56 9.94 1.31 4 57 37.03 .23 4 58 58.69 1.15 5 0 14.89 1.07 5 25.59 0.99 9 52 ."•4 3:i.OI 1.40 56 11.44 1.33 ;,7 :KII .25 5!) 0.01 1.17 0 16.11 1.09 % 12 1.01 8 53 54 40.51* 1.43 56 12.93 1.36 .-,7 39.f i .28 59 1.32 1.20 0 17.33 1.11 27.85 1.03 7 54 54 42.17 1.46 56 14.42 1 .:t- 57 41.24 .30 59 2.63 .22 0 18.55 1.14 38.96 1.06 6 M 54 43.75 1.48 56 15.91 1.40 57 42.64 .32 59 3.94 .24 0 19.77 1.16 30.11 1.07 5 66 4 5-1 45.33 1.51 4 56 17.40 1.43 4 57 44.04 .34 4 59 5J25 .27 5 0 20.99 1.18 5 31.24 1.09 4 :.7 54 46.111 1.53 66 i-.-1 U6 57 45.44 .36 59 6.56 39 0 22.21 1.20 32.:!" 1.11 3 58 :.i 1- \' L56 56 20.38 ii- 57 -1(1*1 .38 59 7.87 .31 0 23.42 1.22 33.49 1.13 2 54 50.07 LGO 56 21 87 1.51 57 48.24 .40 59 9.17 .33 0 24.63 1.24 34.61 l.i:, 1 60 54 51.04 1.69 56 23.35 1.53 57 49.63 •44 59 10.47 1 .35 0 25.84 1.26 1 3573 1.16 0 107°+ lOO'-f 105°+ 104°+ 1O3°+ IO2°+ f 287°— 286°— 285°— 284°- 283°— 282°— i 346 TABLE CXXXVII. ARGUMENT IT,' Equation = 18500" sin y. 258°— 259°— 26O°— 261°— 262°— 263°— y 78°+ 79°+ 8O°+ 81°+ 82°+ 88°+ y Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. p.p. d p i » 5 1 35.73 0.00 5 2 40".10 o!bo 5 3' 38.94 0:60 5° i 32.23 0.00 O J II 5 5 19.96 0.00 5 6* 2.10 o'h 63' i 1 36.85 0.02 2 41.13 0.02 3 39.87 0.01 4 33.07 0.01 5 20.71 0.01 6 2.75 0.01 59 2 1 37.97 0.04 2 42.16 0.04 3 40.80 0.03 4 33.91 0.03 5 21.46 0.02 6 3.40 O.f2 58 3 1 30.09 0.05 2 43.18 0.05 3 41.73 0.04 4 34.75 0.04 5 22.21 0.03 6 4.05 O.C3 57 4 1 40.20 0.07 2 44.20 0.07 3 42.66 0.06 4 35.58 0.05 5 22.95 0.04 6 4.70 O.C4 56 5 1 41.31 0.09 2 45.22 0.08 3 43.59 0.07 4 36.41 0.06 5 23.69 0.05 6 5.35 O.C5 55 6 5 42.42 0.11 5 2 46.24 0.10 5 3 44.52 0.09 5 4 37.24 0.07 5 5 24.43 0.07 5 6 6.rp 0.06 54 7 43.53 0.12 2 47.26 0.12 3 45.44 0.10 4 38.00 0.09 5 25.17 0.08 6 G.C."j 0.1.7 53 8 44.64 0.14 2 48.28 0.13 3 46.36 0.11 4 38.90 0.10 5 25.90 0.09 6 7.29 0.08 52 9 45.75 0.16 2 49.29 0.14 3 47.28 0.13 4 39.73 0.11 5 26.63 0.10 6 7.93 0.09 51 10 46.85 0.18 2 50.30 0.16 3 48.20 0.15 4 40.56 0.13 5 27.36 0.12 6 857 0.10 50 11 5 47.95 050 5 2 51.31 0.17 5 3 49.12 0.16 5 4 41.39 0.14 5 5 28.10 0.13 5 6 9.21 0.11 49 12 49.05 0.22 2 52.32 0.18 3 50.04 0.18 4 42.22 0.15 5 28.83 0.14 6 9.85 0.12 48 Ki 50.15 0.23 2 53.33 0.20 3 50.96 0.19 4 43.04 0.17 5 29.56 0.15 6 10.49 0.13 47 14 51.25 0.25 2 54.33 0.22 3 51.87 0.21 4 43.86 0.18 5 30.2! 0.16 6 11.13 0.14 46 15 52.34 0.27 2 55.33 0.23 3 52.78 0.22 4 44.68 0.19 5 31.02 0.18 6 11.76 0.15 45 16 5 53.43 0.28 5 2 56.33 0.25 5 3 53.69 0.24 5 4 45.50 0.21 5 5 31.74 0.19 5 6 12.39 0.16 44 17 54.52 0.30 2 57.33 0.27 3 54.60 0.25 4 46.32 0.22 5 32.46 0.20 6 13.02 0.17 43 18 55.61 0.32 2 58.33 0.00 3 55.51 0.26 4 47.14 0.23 5 33.18 0.21 6 13.65 0.18 42 19 56.70 0.34 2 59.33 0.30 3 56.42 0.28 4 47.95 0.25 5 33.!'0 0.22 6 14£!? 0.19 41 20 57.79 0.36 3 0.33 0.33 3 57.32 0.29 4 48.76 0.26 5 34.62 O.S23 6 14.90 0.20 40 21 5 58.88 0.33 5 3 1 .33 0.35 5 3 53.22 0.39 5 4 49.57 0.27 5 5 35.34 0.24 5 6 15.53 0.21 39 22 59.97 0.40 3 2.32 0.37 3 59.12 0.32 4 50.38 0.29 5 36.06 0.25 6 16.15 0.22 38 23 2 1.05 0.41 3 331 0.38 4 0.02 0.33 4 51.19 0.30 5 36.77 0.26 (i Ki.77 0.23 37 24 2 2.13 0.43 3 4.30 0.40 4 0.92 0.35 4 51.9!) 0.31 5 37.48 O.S7 6 IT1.^ 0.24 36 25 2 3.21 0.45 3 5.29 0.41 4 1.82 0.36 4 52.79 0.33 5 38.19 0.29 6 18.01 0.25 35 26 5 2 4.29 0.46 5 3 6.28 0.43 5 4 2.72 0.37 5 4 53.50 0.34 5 5 38.00 0.30 5 6 18.63 0.26 34 27 2 5.37 0.48 3 7.27 0.44 4 3.61 0.39 4 54.39 0.35 5 39.61 0.31 6 19.y4 0.27 33 28 2 6.45 0.50 3 8.25 0.46 4 4.50 0.40 4 55.19 0.37 5 40.32 0.32 6 19.85 0.28 32 29 2 7.53 0.52 3 9.23 0.47 4 5.39 0.42 4 55.99 0.38 5 41.03 0.33 6 20.46 0.29 31 30 2 8.61 0.54 3 10.21 0.48 4 6.28 0.44 4 56.79 0.40 5 41.73 0.35 6 21.07 0.30 30 31 5 2 9.68 0.56 5 3 11.19 0.51 5 4 7.17 0.45 5 4 57.59 041 5 5 49.4H f"6 5 6 21 68 o ; 29 32 2 10.75 0.58 3 12.17 0.52 4 8.06 0.47 4 58.38 0.42 5 43.1: (.:7 (i £259 i;.:-j 28 33 2 11.82 0.59 3 13.15 0.54 4 8.94 0.48 4 59.17 0.44 5 43.83 0.38 6 22.89 0.33 27 34 2 12.89 0.61 3 14.12 0.55 4 9.82 0.50 4 59.96 0.45 5 44.53 0.40 6 23.49 0.34 26 35 2 13.96 0.63 3 15.09 0.57 4 10.70 0.51 5 0.75 0.46 5 45.22 0.41 6 24.09 0.35 25 36 5 2 15.03 0.65 5 3 16.06 0.59 5 4 11.58 0.53 5 5 1.54 0.48 5 5 45.91 0.42 5 6 2469 0.36 24 37 2 16.09 0.66 3 17.03 0.60 4 12.46 0.54 5 2.33 0.49 5 46.60 0.44 6 25.29 0.37 23 38 2 17.15 0.68 3 1800 0.62 4 13.34 0.56 5 3.11 0.50 5 47.29 0.45 6 25.89 0.38 22 39 2 18.29 0.70 3 18.97 0.64 4 14.21 0.57 5 3.69 0.51 5 47.9^ 0/6 C 26.49 0.39 21 40 2 19.27 0.72 3 19.94 0.65 4 15.08 0.59 5 4.67 0.53 5 4tf.67 li.47 6 27.08 0.40 20 41 5 2 20.33 0.74 5 3 20.91 0.66 5 4 15.95 0.60 5 5 5.45 0.54 5 5 49.36 0.48 5 62767 0.41 19 42 2 21.38 0.76 3 21.87 0.68 4 16.82 0.62 5 6.23 0.55 5 50.05 0.49 6 28.26 0.42 18 43 2 22.43 0.77 3 22.83 0.70 4 17.69 0.63 5 7.01 0.57 5 50.73 0.50 6 28.83 0.43 17 44 2 2348 0.79 3 23.79 0.71 4 18.56 0.65 5 7.78 0.58 5 51.41 0.52 6 29.44 0.44 16 45 2 24.53 0.81 3 24.75 0.73 4 19.43 0.66 5 8.55 0.59 5 52.09 0.53 6 30.03 0.45 15 46 5 2 25.58 0.83 5 3 25.76 0.74 5 4 20.30 0.68 5 5 9.32 0.61 5 5 52.77 0.54 •6 6 30.62 0.46 14 47 2 26.63 0.84 3 26.67 0.76 4 21.16 069 5 10.09 0.62 5 53.45 0.55 6 31.20 0.47 13 48 2 27.67 0.86 3 27.62 0.78 4 22.02 0.70 5 10.86 0.63 5 54.13 0.57 6 31.78 0.48 12 49 2 28.71 0.88 3 28.57 0.80 4 22.88 0.72 5 11.63 0.65 5 54.80 0.58 6 32.36 0.4! 11 50 2 29.75 0.90 3 29.52 0.82 4 23.74 0.74 5 12.39 0.66 5 55.47 0.59 6 32.04 0.50 10 51 5 2 30.79 0.92 5 3 30.47 0.84 5 4 24.60 0.75 5 5 13.15 0.68 5 5 56.13 0.60 5 . 6 33.52 0.51 9 52 2 31.83 0.94 3 31.42 0.86 4 25.46 0.77 5 13.91 0.69 5 56.80 0.61 6 34.10 0.52 8 53 2 32.87 0.95 3 32.37 0.87 4 26.31 0.78 5 14.67 0.70 5 57.47 0.62 6 34.67 0.53 7 54 2 33.91 0.97 3 33.31 0.89 4 27.16 0.80 5 15.43 0.72 5 58.14 0.63 6 35.24 0.54 6 55 2 34.94 0.99 3 34.25 0.91 4 28.01 0.81 5 16.19 0.73 5 58.81 0.64 6 35.81 0.55 5 56 5 2 35.98 1.01 5 3 35.19 0.92 5 4 28.86 0.83 5 5 16.95 0.75 t> 5 59.47 0.65 5 6 36.38 0.56 4 57 2 37.01 1.02 3 36.13 0.93 4 29.71 0.84 5 17.71 0.76 6 0.13 0.66 6 36.95 0.57 3 58 2 38.04 1.04 3 37.07 0.95 4 30.55 0.86 5 18.46 0.77 6 0.79 0.67 6 37.52 0.58 2 59 -2 39.07 1.06 3 38.01 0.96 4 31.39 0.87 5 19.21 0.78 6 1.45 0.68 6 38.09 '0.59 1 60 2 40.10 1.08 3 38.94 0.98 4 32.23 0.88 5 19.96 0.79 6 2.10 0.70 6 38.65 0.60 0 1OI°+ 1OO°+ 99°+ 98°+ 97°+ 96°+ y 28 1 °— 2SO°— 279°— 278°— 277°— 276°— y 347 TABLE CXXXVII. ARGUMENT 77. Equation = 18500" sin y. 264°— 265°— 266°— 267°- 268°— y 84°+ 85°+ 86°+ 87°+ 88°+ E Equation. p. p. Equation.' p.p. Equation. p.p. Equation. p.p. Equation. p.p. Equation. d a 6 31.65 n 0.00 § 7 §.60 9 17 0.01 8 17.54' 0.00 56 5 6 41.45 0.05 7 11.93 0.03 7 36.77 0.03 7 56.03 0.02 8 9.65 0.01 8 17.62 0.00 55 6 5 6 42.01 0.06 5 7 12.39 0.04 5 7 37.14 0.03 5 7 56.30 0.02 5 8 9.83 0.01 5 8 17.71 0.01 54 7 6 42.56 0.07 7 12.85 0.04 7 37.51 0.04 7 56.57 0.03 8 10.01 0.02 8 17.78 0.01 53 8 6 43.11 0.08 7 13.81 0.05 7 37.87 0.04 7 56.84 0.03 8 10.19 0.02 8 17. -7 0.01 52 !> 6 43.66 0.09 7 13.77 0.06 7 38.23 0.05 7 57.11 (1.04 8 10.36 0.02 8 17.95, 0.01 51 10 6 44.21 0.09 7 14.22 0.07 7 38.59 0.05 7 57.38 0.04 8 10.53 0.02 8 18.03 0.01 50 11 5 6 4476 0.10 5 7 14.67 0.07 5 7 38.95 0.06 5 7 57.65 0.04 5 8 10.70 0.02 5 8 18.11 0.01 •19 14 6 45.30 0.11 7 15.12 0.08 7 39.31 0.06 7 57.92 0.04 8 10.87! 0.02 8 18.19 0.01 •1* i:t 6 45.84 0.12 7 15.57 0.09 7 39.67 0.07 7. 58.18 0.05 8 11.04 0.02 8 18.27 0.02 47 14 6 4(3.38 0.12 7 16.02 0.10 7 40.03 0.07 7 58.44 0.05 8 11.21 0.03 8 18.34 0.02 46 15 6 46.92 0.13 7 16.46 0.10 7 40.38 0.08 7 58.70 0.05 8 11.37 0.03 8 18.41 0.02 45 16 5 6 47.46 0.14 5 7 16.91 0.11 5 7 40.73 0.08 5 7 58.96 0.06 5 8 11.53 0.03 5 8 18.48 0.02 44 17 6 48.00 0.15 7 17.35 0.12 7 41.68 0.09 7 59.22 0.06 8 11.69 0.03 8 18.55 0.02 43 18 6 48.54 0.16 7 17.79 0.12 7 41.43 0.09 7 59.48 0.06 8 11.85 0.04 8 18.62 0.02 49 1!) 6 49.07 0.17 7 18.23 0.13 7 41.78 0.10 7 59.73! 0.07 8 12.01 0.04 s i.*.69 0.02 41 20 6 49.60 0.17 7 18.67 0.14 7 42.13 0.11 7 59.98 0.07 8 12.17 0.05 8 18.75 O.I 2 40 21 5 6 50.13 0.18 5 7 19.11 0.15 5 7 42.47 0.12 5 8 0.23^ 0.07 5 8 12.33 0.05 5 8 18.81 0.02 39 22 6 50.66 0.19 7 19.55 o.ir. 7 42.81 0.12 8 0.481 0.07 8 12.48 0.05 8 18.fc7, 0.02 38 23 6 51.191 0.20 7 19.98 0.16 7 43.15 0.13 8 0.73| 0.08 8 12.63 0.05 8 1*.93 O.C2 37 24 6 51.72 0.20 7 20.41 0.17 7 43.49 0.13 8 0.97! 0.08 8 12.7* o.ri; 8 18.99 0.02 3G 25 6 52.21 0.21 7 20.84 0.18 7 43.83 0.14 8 1.21 0.08 8 12.93 0.06 8 19.04 O.I •-' 35 26 5 6 52.76 0.22 5 7 21.27 0.18 5 7 44.17 0.14 5 8 1.45 0.09 5 8 13.08 0.06 5 8 19.09 0.112 34 27 (i 53.2* 0.2:1 7 21.70 0.19 7 44.50 0.15 8 1.69 0.09 8 13.23 0.06 8 19.14 002 33 23 6 53.80 0.24 7 22.12 0.20 7 44.83 0.15 8 1.93 0.10 8 13.38 0.07 8 19.19 0.02 39 29 6 54.32 0.25 7 22.54 0.20 7 45.16 0.16 8 2.17 0.10 8 13.52 0.07 8 19.24 0.02 31 30 6 54.83 0.26 7 22.96 0.21 7 45.49 0.16 8 2.40 0.1 1 8 13.66 0.07 8 19.2!) 0.02 30 31 5 6 55.34 0.27 5 7 23.38 0.22 5 7 45.82 0.16 5 8 2.63 0.11 5 8 13.80 0.07 5 8 19.34 0.02 2!) 32 ,, „_ a_ d .,...-.. ox 7 23.80 0.23 7 46.15 0.17 8 2.86 0.12 8 13.94! 0.08 8 19.38: 0.02 88 33 6 56.36 0.2!) 7 24.22 0.23 7 46.47 0.17 8 3.09 0.12 8 14.08 0.08 8 19.42 0.02 27 34 6 56.87 0.29 7 24.63 021 7 46.79 0.18 8 3.32 0.13 8 14.22 0.08 8 19,10 (M 3 26 35 6 57.38 0.30 7 25.04 0.25 7 47.11 0.18 8 3.55 0.13 8 14.35 0(19 8 19.50 0.03 25 36 5 6 57.89 0.31 5 7 25.45 0.25 5 7 47.43 0.19 5 8 3.78 0.13 5 8 14.48 0.09 5 8 19.54 0.03 24 37 0.32 7 25.-6 0.26 7 47.75 0.19 8 4.00 0.14 8 14.61 0.09 8 19.58, 0.03 23 33 (i :.-.'.«i 0.33 7 26.27 0.27 7 48.07 0.20 8 4.22 0.14 8 14.74 0.09 8 19.62 0.03 22 SB li .V.I. in 0.33 7 26.68 0.27 7 48.39 0.30 8 4.44 0.14 8 14.87 11.119 8 19.65 0.03 21 40 6 59.90 0.34 7 27.09 0.28 7 48.70 0.21 8 4.66 0.15 8 15.00 0.09 8 19.68 0.03 BO 41 5 7 0.40 0.35 5 7 27.50 028 5 7 49.01 0.21 5 8 4.88 0.15 5 8 15.12 0.09 5 8 19.71 0.03 19 !•< 7 0.90 0.36 7 27.91 0.29 7 49.32 0.22 8 5.10 0.15 8 1524 0.10 8 19.74 0.03 18 43 7 1.40 HIT 7 2-3] 0.30 7 49.63 022 8 5.32 0.15 8 15.36 0.1(1 8 19.77 0.03 17 44 7 1.90 0.38 7 2*.7I 0.31 7 49.94 0.23 8 5.53 0.16 8 15.48 0.10 8 19.80 0.04 16 45 7 2.39 113- 7 gfcii 0.31 7 50.25 0.23 8 5.74 0.16 8 15.60 0.11 8 19,-J 0.04 15 46 .-> 7 8.88 0.39 5 7 29.51 0.32 5 7 50 .5T 0.24 5 8 595 0.17 5 8 15.72 0.11 5 8 19.84 0104 14 47 7 3.37 0.4D 7 29.91 0.33 7 50,-d 0.24 8 6.16 0.17 8 15.84 0.11 H I9,-0 0.04 13 48 7 3.86 0.41 7 30.31 0.34 7 51.16 0.88 8 6.37 0.17 8 15.95 0.11 * 19.*- 0.04 12 T> 7 4.35 0.42 7 3o.7( 0.34 7 51.46 0.26 8 6.58 0.18 8 16.06 0.12 ,* 19.90 0.04 11 50 7 -1-1 0.43 7 31.0!) 0.35 7 51.76 0.27 8 6.78 0.18 8 16.17 0.12 8 19.92 0.04 10 :,1 5 7 5.32 0.41 5 7 31.48 0.36 5 7 52.06 0.27 5 8 6.98 0.18 5 8 16.28 0.12 5 8 19.94 0.04 9 69 7 5.-n 0 i:, 7 31. H7 0.36 7 52.a 0.98 8 7.18 0.19 8 li;.:!9 0.12 ,- I9.!T. 0.04 8 M 7 (i/.'- Dili 7 32.21 0.37 7 52.65 ,,._.- 8 7.38 0.19 .- lli.50 0.13 ,- 19! I. 0.04 7 :,l 7 6.76 0.47 7 32 IM 0.3- 7 52.94 0.29 8 7.5H 0.19 .- llrdll 0.13 S 19.17 0.05 6 7 7.21 0.47 7 33.03 0.39 7 53.23 OStB 8 7.78 0.20 8 16.70 0.13 8 19.98 0.05 5 E6 5 7 772 048 5 7 3:; n 0.3:i 5 7 :.:;.- 2 0.80 5 8 7.97 0.20 5 8 1i;-o II II 5 8 199* 0.05 4 :.7 7 i-.i: B.49 7 33.79 0,10 7 .-,:!,* i 0.311 8 8.16 0.21 0.14 8 19.99 0.05 8 58 7 f.ia; o,-,ii 7 34.17 0.41 7 51.0! 0.81 8 8.35 n -.'1 * 17.00 0.14 - 19.99 0.05 2 60 7 !U:i 0.51 7 3 1 .V, 01 1 7 64.37 0.31 8 854 058 I- 17.09 0.11 x 2o.ro 0.05 1 7 !M*i 0..-.I -.' 0.12 7 54.65 0.39 8 8.73 0.22 8 17.18 0.14 8 20.00 0.05 0 9.V+ 94°+ 9»°+ 92°+ 91°+ 90°+ y 27.1- 274°- 273°— 272°— 271°— 27O°— y 348 UNIVERSITY OF CALIFORNIA LIBRARY BERKELEY Return to desk from which borrowed. This book is DUE on the last date stamped below. NDMY L1BR L 1958 RY LD 21-100m-9,'48(B399il6)476 ASTRONOMY LIBRARY UNIVERSITY OF CALIFORNIA LIBRARY BBB