| Charles Hutton - 1812 - 624 sider
...— cos b . cos c -f- sin b . sin c . cos A 1 cos 6 = cos a . cos c -j- sin a . sin c . cos B v (I.) cos c -- cos a . cos b + sin a . sin b . cos c J THEOREM VII. In Every Spherical Triangle, the Sines of the Angles are Proportional to the Sines of... | |
| Olinthus Gregory - 1816 - 276 sider
...FD = AO cos a cos b + FB = AO cos a cos b + AO sin a sin b cos c. Therefore, dividing by AO, we have cos c = cos a cos b + sin a sin b cos c. Similar relations are deducible for the other sides a and b : hence, generally cas a = cos b cos c... | |
| Robert Woodhouse - 1819 - 300 sider
...c- n cos. c — cos. a . cos. b , ,, bmce cos. L = - r- - : — - - , page 139, sin. a . sin. b .-. cos. c = cos. a . cos. b + sin. a . sin. b . cos. C; but cos. C=l — ver. sin. C, (ver. sin. stands for versed sine); * For instance, in finding the Moon's... | |
| Louis Puissant - 1819 - 464 sider
...valeurs de da, l'on trouvera dB- de sîn B tans a ''un autre côté , si l'on différencie l'équation cos c = cos a cos b + sin a sin b cos C, viendra , . » /cos b — cos a cos c\ • , . _ 1n de sm c = da ( -;— j -f- sm « sin b sin Cc?C,... | |
| Louis-Benjamin Francœur - 1828 - 608 sider
..., B^ et le côté compris Cj on trouve les deux autres côtes a, b , par les analogies (A - B) — cos C = cos A cos B — sin A sin B cos c (a3) , cos C = cos A cos B (tang A tang B cos c — i). Comme dans les deux derniers cas, on emploie... | |
| John Radford Young - 1833 - 308 sider
...cos. b cos. c -f- sin. b sin. c cos. A , cos. 4 = cos. a cos. c + sin. a sin. c cos. B > . . . . (A); cos. c = cos. a cos. b + sin. a sin. b cos. C ^ and these equations embody the whole theory of spherical trigonometry and are sufficient to supply... | |
| Charles William Hackley - 1838 - 338 sider
...seems somewhat lengthy. But a shorter method of solution is deducible from the fundamental formula, cos c = cos a cos b + sin a sin b cos c (1). For substituting cos a tan a for its equal sin a it becomes cos c = cos a (cos b + tan a sin b... | |
| John Hymers - 1840 - 386 sider
...SPK = cos /, and applying these values and the fundamental formulas of spherical Trigonometry, viz. cos c = cos a cos b + sin a sin b cos C, cot .4 sin C = cot a sin 6 — cos C cos 6, sin a sin B = sin .4 sin b, (where «, 6, c, A, S, C, represent... | |
| Nathan Scholfield - 1845 - 244 sider
...cos. b cos. c . (*•) cos. A = And, cos. C = sin. b sin. c cos. c — cos-, a cos. b sin. a sin. b cos. c = cos. a cos. b + sin. a sin. b cos. C (2-) Substituting this value of cos. c in Equation (1.) : cos. a — cos. a cos.' b — cos. b sin.... | |
| Nathan Scholfield - 1845 - 894 sider
...cos. a — cos. 6 cos. c cos. A = And, cos. C = sin. b sin. c cos. c — cos. a cos. b sin. a sin. b cos. c = cos. a cos. b + sin. a sin. b cos. C (1.) . . . (2.) Substituting this value of cos. c in Equation (1.) : cos. a — cos. a cos.' b —... | |
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