CHAP. I. Spherical Trigonometry applied to Astronomy; in all the Practical Problems of the Sun, Moon, and Stars, which depend on the Solution of Spherical Triangles. I N Part 2, of Vol. 1, I applied the Doctrine of Plain Trigonometry to the Purposes of Aftronomy in a great Variety of Problems, far exceeding any Thing of that Kind yet done in Books of this Subject; the fame Thing I fhall here endeavour, aiming to give the young Learner not only a compleat Idea of the Art, but also of the Excellency and Extensiveness of its Use in the Arts and Sciences, among which Astronomy is the chief: In order to perform Conclufions of Aftronomy, we must be able to find the true Place of the Sun in the Ecliptic; the Latitude of the Place; and the greatest Declination of the Sun (or the Sun's Orbit, the Ecliptic) from the Equinoctial, for any given Moment of Time. As for the Sun's Place, that is most conveniently had from the Aftronomical Tables, which are calculated from juft Obfervation, and gives the Mean or Middle Motion of the Sun for any Part of Time; fuch Tables I have here adjoin'd. A TABLE A TABLE of the Sun's Mean Motion. Days. 23 January. M. M. of Sun. S O O O O O 678a 9 ΙΟ M.P.: 59 08 oc I OI 32 2704 I 29 08 2008 58 1700 1 02 31 3525 2 00 07 2808 02 57 2500 I 03 30 4305 2 01 06 3608 03 56 3301 I 04 29 5205 2 02 05 4509 04 55 4201 I 05 29 0005 2.03 04 539 05 54 50011 06 28 0805 2 04 04 0109 06 53 5801 1 07 27 1605 2 05 03 190 07 53 0701 1 08 26 2505 2 08 02 1809 08 52 1501 I 09 25 3306 2 07 01 2609 09 51 23 01 I 10 24 4106 2 08 00 3509 110 10 50 3202 I 11 23 5006 2 08 59 4310 12 0 11 44 4002 I 12 22 5806 2 09 58 5110 13 0 12 48 48 02 1 13 22 0606 2.10 58 0010 14 O 13 47 5702 1 14 21 156 2 11 57 0810 15 O 14 47 0502 I 15 20 236 2 12 56 1610 16 0 15 46 1302 1 16 19 3106 2 13 55 25 10 17 0 16 45 22 02 I 17 18 4007 2 14 54 3310 18 0 17 44 3002 1 18. 17 4807 2 15 53 4111 19 0 18 43 3803 1 19 16 5607 2 16 52 5011 20 0 19 42 4703 1 20 16 0407 2 17 51 5811 21 0 20 41 5503 1 21 15 1307 2 18 51 0611 22 0 21 41 0303 1 22 14 2107 2 19 50 1511 23 0 22 40 1203 1 23 13 3007 2 20 49 2311 24 0 23 39 2003 1 24 12 3808 2 21 48 3111 25 0 24 38 2803 1 25 11 4608 2 22 47 4011 26 0.25 37 3704 1 26 10 5508 2 23 46 4812 27 0:26 36 4504 1 27 10 0308 2 24 45 5612 28 0 27 35 5304 1 28 09 1108 2 25 45 951 2 29 0 28 35 0204 30 0 29 34 1004 31 1 00 33 184 2 26 44 1312 2 27 43 2112 2 28 42 3912) A TABLE of the Sun's Mean Motion. Days. April. M. Mo. of Sun. S ୪ · 2 29 41 3812 3 29 15 4817 4 29 49 " M.P. 14 5617 5 00 48 1421 14 0417 5 01 47 23 21 5 02 46 3121 12 21 17 5 03 45 3921 6 3 04 37 2013 4 04 II 2917 5 04 44 4821 73 05 36 2713 4 05 10 38 17 5 05 43 5622 8 306 35 3613 4 06 09 4617 5 06 43 0422 93 07 34 4513 4 07 08 5418 5 07 42 1322 10 3 08 33 5314 4 08 08 0318 5 08 41 21 22 11 3 09 33 0114 4 09 07 1118 5 09 40 29 22 12 3 10 32 10 14 4 10 06 1918 5 10 39 38 22 13 3 11 31 18 14 4 11 05 28 18 5 11 38 46 22 14 3 12 30 2614 4 12 04 36 18 5 12 37 5422 15 3 13 29 3414 4 13 03 4418 5 13 37 03 22 16 3 14 28 4314 4 14 02 5319 5 14 36 1123 17 3 15 27 5115 4 15 02 01 19 5 15 35 1923 18 3 16 27 0015 4 16 01 0919 19 3 17 26 0815 4 17 00 20 3 18 25 16 15 4 17 59 26 19 5 16 34 28 23 17 33 3623 5 18 32 44 23 213 19 24 24 15 4 18 58 3419 5 19 31 53 24 22 3 20 23 3315 4 19 57 42 19 5 20 31 01 24 23 3 21 22 4115 4 20 56 5120 5 21 30 0924 24 3 22 21 4916 4 21 55 59 20 5 22 29 1824 25 3 23 20 5816 4 22 55 0920 5 23 28 2624 26 3 24 20 06/16 4 23 54 16 20 27 3 25 19 1416 4 24 53 242c 28 3 26 18 23 16 4 25 52 33 2 29 3 27 17 31|16| 4 26 51 41 20 30 3 28 16 3916 4 27 50 49 21 4 28 49 58 21 21 5 24 27 3424 5 25 26 43 24 5 26 25 51 24 5 27 24 5925 5 28 24 08/25 A TABLE of the Sun's Mean Motion. Days. July. M. Mo. of Sun. S M.P. 6 29 56 3429 · 〃 〃 15 29 23 1625 8 00 29 5233 6 00 22 2425 7 00 55 4229 8 01 29 0134 6 01 21 3225 7 01 54 5129 8 02 28 0934 6 02 20 40257 02 53 5938 03 27 17 34 51 6.03 19 4925 7 03 53 0730 8 04 26 26 34 12345 66 04 18 5726 7 04 52 1630 8 05 25 34 34 76 05 18 06 26 7 05 51 2430 8 06 24 42 34 8 6 06 17 14 26 7 06 50 3230 8 07 23 5134 9 6 07 16 22267 07 49 4130 8 08 22 5935 6 08 15 31 26 7 C8 48 48308 09 22 0735 II 12 6 09 14 39 26 7 09 47 5731 8 10 21 1635 6 10 13 4726 7 10 47 06 31 8 11 20 24 35 [13] 6 11 12 5627 7 11 46 1431 8 12 19 3235 14 6 12 12 04 27 7 12 45 2231 8 13 18 4135 156 13 11 12 27 7 13 44 3131 8 14 17 4935 0427 8 15 16 5736 8 16 16 0536 5631 8 17 15 1436 0432 8 18 14 2236 12 32 8 19 13 3936 16 6 14 10 21 27 7 14 43 39 31 8 20 12 3936 8 21 11 4736 8 22 10 55361 8 8 23 10 0437 24 09 1237 8 21 6 19 06 02 28 7 19 39 21 32 22 6 20 05 11 28 7 20 38 2532 23 6 21 04 1928 7 21 37 37 32 24 6 22 03 27 28 7 22 36 46 32 25 6 23 02 36 28 7 23 35 5432 26 6 24 01 4428 7 24 35 0233 25 08 2037 27 6 25 00 5228 7 25 34 1133 8 26 07 2937 28 6 26 00 01 29 7 26 33 19 33 8 27 06 3737 29 6 26 0929 59 09 29 7 27 32 2733 8 28 05 45 4537 130 6 27 58 17 29 7 28 31 3633 8 29 04 5437 31 6 28 57 26 297 29 30 44|33| |