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Books Bücher 1 - 10 von 165 in A. {cos a = cos b cos c + sin b sin c cos A. cos b = cos a cos c + sin a sin c cos...
" A. {cos a = cos b cos c + sin b sin c cos A. cos b = cos a cos c + sin a sin c cos B. cos c = cos a cos b + sin a sin b cos C. "
Der Ingenieur: Sammlung von Tafeln, Formeln und Regeln der Arithmetik, der ... - Seite 251
von Julius Ludwig Weisbach - 1868 - 864 Seiten
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A Course of Mathematics: For the Use of Academies as Well as Private ..., Band 2

Charles Hutton - 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 - 1816 - 244 Seiten
...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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Traité de géodosie, Band 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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A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - 1819 - 264 Seiten
...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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The Principles of Analytical Geometry ...

Henry Parr Hamilton - 1826 - 326 Seiten
...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 - 1828 - 575 Seiten
..., 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 - 1833 - 208 Seiten
...= 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...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - 1833 - 264 Seiten
...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 +...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 Seiten
...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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The Elements of the Theory of Astronomy

John Hymers - 1840 - 354 Seiten
...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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