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Books Books 1 - 10 of 165 on B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos....  
" B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G. "
Elements of trigonometry, plane and spherical: adapted to the present state ... - Page 201
by Charles William Hackley - 1838 - 307 pages
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812
...— 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...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...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...
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A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - Trigonometry - 1819 - 264 pages
...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...
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Traité de géodosie, Volume 1

Louis Puissant - 1819
...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,...
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The principles of analytical geometry ...

Henry Parr Hamilton - Geometry, Analytic - 1826 - 326 pages
...Zx'z be an arc of 90° passing through x', and meeting xy in z. Then, since in any spherical triangle cos c = cos a cos b + sin a sin b cos C, we have (1) In the triangle x'xt, cos x', x = cos t, x cos t, x' + sin t, x sin t, x' cos x'y , xy...
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Uranographie: ou, Traité élémentaire d'astronomie, à l'usage des personnes ...

Louis-Benjamin Francœur - Astronomy - 1828 - 575 pages
..., 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...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Trigonometry - 1833 - 264 pages
...(10 — p) — (10 — ?), we have log. tan. = 10 + y — p. \Vhen, in the case we are considering, the only part required happens to be the side opposite...solution is deducible from the fundamental formula, cos. с = cos. a cos. b + sin. a sin. 6 соя. С .... (1). For substituting cos. a tan. a for its equal...
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The Elements of the Theory of Astronomy

John Hymers - 1840
...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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...angle of the triangle. By (a) \ve have, 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...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...cos. a — 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. i + sin. a sin. b cos. C - - - (2.) Substituting this value of cos. c in Equation (1.)...
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