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A, 4 cos 6 = cos c cos a + sin c sin a cos B, > (1) . , "cos c = cos a cos b + sin a sin b cos C. J Whence . cos a — cos b...
Anleitung zu rechnungen der geodäsie - Page 10
by Friedrich Theodor Poselger - 1831 - 57 pages

## A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - Plane trigonometry - 1819 - 264 pages
...supplemental triangle ; then, if a, b', c are its sides, A', B', C', its angles, we have, by the form [l], cos. a — cos. b' cos. c cos. A' — sin. b' . sin. c but cos. A' — cos. (180° — a) = — cos. a cos. a = cos. (180° — A)— — cos. A cos. b' =...

## An Elementary Treatise on Plane and Spherical Trigonometry and on the ...

Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...cos a, cos B = — cos A cos C -f- sin A sin C cos 6, cos C = — cos A cos B -f- sin A sin B cos c, cos A -\- cos B cos C cos a = sin B sin C 7 cos B -f- cos ^4 cos C cos £> = ~— f-. — ^ , sm A sin C cos C + cos A cos B cos c = -' . —...

## Problems in the Different Branches of Philosophy: Adapted to the Course of ...

Miles Bland - Astronomy - 1830 - 394 pages
...C. 50. If A, B, C be three angles, which together make up an odd number of right angles, shew that cos A. cos B. cos C = cos A. sin B. sin C + cos /?. sin A. sin C+ cos C. sin A. sin 5. 51. On the same supposition, shew that cos 2 A + cos 2...

## Neue Jahrbücher für Philologie und Paedagogik, Volume 3

Classical education - 1831 - 496 pages
...(p cot 9 = cos « tang ß , also cos a = • . ist ; substituirt man diesen Werth in der Gleichung cos a = cos b cos c + cos a sin b sin c, so erhält man nach gehöriger Reduktion sin (c-fiy) cos a sin <p = — -j- — . Endlich bemerken...

## Neue Jahrbucher fur Philologie und Paedagogik

Dr. Gottfried Seebode - 1831 - 572 pages
...dass cot tp cot tp = cos a tang ß, also cos a = r ist; substituirtman diesen Werth in der Gleichung cos a = cos b cos c + cos a sin b sin c, so erhält man nach gehöriger Reduktion sin (c + <p) cos a sin tp = r — . Endlich bemerken wir noch...

## Elements of Spherical Trigonometry

Augustus De Morgan - Spherical trigonometry - 1833 - 40 pages
...developed, will be seen to be cos. a sin. a sin. b sin. c , or cos. a sin. B sin. C, from <>., have then cos. A + cos. B cos. C = cos. a sin. B sin C, — cos. A = cos. B cos. C — sin. B sin. C cos. «. 'or cos. A write its equal, — cos. (/r —...

## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...cos. A=2 — 2 sec. c sec. 6 cos. a OT, sin-c t cos. c ' cos. b cos. A= cos. A =!_ cos. c ' cos, b cos. a — cos. b cos. c cos. a sin. b sin. c Similarly we shall have, •n COS. & — COS. a COS. C cos. B= — ; cos. C= sin. a sin. c cos. c —...

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...of a side of a spherical triangle in terms of the sines and cosines of the angles. By (/?) we have, cos. A + cos. B cos. C cos- a= sin. B sin. C .'. 1+cos. a= cos. A+cos. B cos. C+sin. B sin. C sin. B sin. C Cos. A+cos. (B—C) sin. B sin. C A+B—...