 | Robert Woodhouse - Plane trigonometry - 1819 - 300 pages
.../3> ° 5 the spherical angle at 0 ................ C the angle a Ob of the chord ............. 6 then cos. c = sin. a . sin. b . cos. C + cos. a . cos. b (page 139.). But, cos. c = 1 — 2 sin.2 - , and sin. a = 2 sin. ~ cos. | , &c. 2 ^ * .'.1—$. sin.2... | |
 | Louis Benjamin Francoeur - 1830 - 522 pages
...cos b +s\nas'mb cos C , (33) = cos(a — b] — 2 sin a sin b siii'jC. (34) On a encore les formules cos C = sin A sin B cos c — cos A cos B , (35) sin a cos c = sin c cos a cos B -f- sin b cos C, (36) sin a cot c = cos a cos B + sin B cot... | |
 | Charles Bonnycastle - Geometry - 1834 - 670 pages
...equations cos. a = sin. b sin. c cos. A + cos. b cos. c cos. b = sin. asin. c cos. B + cos. a cos. c 39. cos. c = sin. a sin. b cos. C + cos. a cos. b Sect. III. Relations of throe divergent lines. Art. 144. Notation proper to three divergent lines.... | |
 | William Augustus Norton - Astronomy - 1839 - 530 pages
...sides. 74. cos c = cos a cos b -j- sin a sin b cos C cos c = cos (a — 6) — 2 sin a sin b sin3^ C cos C = sin A sin B cos c — cos A cos B sin a cos c = sin c cos a cos B + sin b cos C sin a cot c = cos a cos B + sin B cot C sin a cos B = sin... | |
 | William Augustus Norton - Astronomy - 1852 - 522 pages
...74. cos c = cos a cos b + sin a sin b cos C 75. cos c = cos (a — b) — 2 sin a sin b sin" £C 76. cos C = sin A sin B cos c — cos A cos B 77. sin a cos c = sin c cos a cos B + sin b cos C 78. sin a cot c = cos a cos B + sin B cot C 79. sin... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...cos A •= sin B sin C cos a — cos B cos C, 1 cos B = sin A sin C cos b — cos A cos C, *>• (2) cos C = sin A sin B cos c — cos A cos B. \ That is : The cosine of either angle of a spherical triangle, is equal to the product of the sines... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...cos A — sin B sin C cos a — cos B cos C, 1 cos B = sin A sin C cos b — cos A cos C, >• (2) cos C =• sin A sin B cos c — cos A cos B. \ That is : The cosine of either angle of a spherical triangle, is equal to the product of the sines... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...— cos B cos C. (153)In like manner may be deduced cos "Z?=sin C sin A cos b — cos C cos A, (1^4) cos C= sin A sin B cos c — cos A cos B. (155) 151. In any spherical triangle, the cotangent of one side into the sine of another side is equal... | |
 | Franz Brünnow - Spherical astronomy - 1865 - 632 pages
...vice versa: cos A = sin B sin Ccos a — cos B cos C cos B •== sin A sin C cos 6 — cos A cos C (8) cos C = sin A sin B cos c — cos A cos B. 5. If we add the two first of the formulae (3), we find : sin a [sin B + sin C] = sin A [sin b H- sin... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...for any triangle), In the same way, we may deduce, cos B = sin A sin C cos b — cos A cos C • (2.) cos C = sin A sin B cos c — cos A cos .B • (3.) That is, tJ1e cosine of either angle of a spherical triangle is equal to the rectangle of... | |
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A •= sin B sin C cos a — cos B cos C, 1 cos B = sin A sin C cos b — cos A cos C, *>• (2) cos C = sin A sin B cos c — cos A cos B. 
