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" 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. "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 138
by Nathan Scholfield - 1845 - 232 pages
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Traité élémentaire de trigonométrie rectiligne et sphérique, et d ...

Silvestre François Lacroix - Geometry, Analytic - 1810 - 550 pages
...cos A •=. — cos B cos C -\- sin B sin Ç cos et ." cos B = — cos A cos C -f- sin A sin C cos b '• cos C = — cos A cos B -\- sin A sin B cos e cos A + cos B cos C cos<z = cosi = cosc = sin fi sin 4J cos B -f- cos A cos C sin A sin C' cos C...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812 - 632 pages
...— 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 - 276 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 - Plane trigonometry - 1819 - 264 pages
...<•. Second Method. 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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A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - Geometrical optics - 1819 - 264 pages
...of the side c . Second Method. o- r> cos. c — cos. a . cos. b . 0_ Since cos. C = : : , page 139, sin. a • sin- b .-. Cos. c = cos. a .cos. b + sin. a . sin. I .cos. C; but cos. C=l — ver. sin. C, (ver. sin. stands for versed sine); * For instance;, in finding...
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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 - 608 pages
...angles A , 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 - Astronomy - 1833 - 314 pages
...B as equa. (1) sin. (A + B + C) = sin. (A + B) cos. C + cos. (A + B) sin. C = (sin. A cos. B + cos. A sin. B) cos. C + (cos. A cos. B — sin. A sin. B) sin. CJ cos. ( A + B + C) = cos. (A + B) cos. C — sin. (A + B) sin. C = (cos. A cos. B — sin....
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 307 pages
...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...
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