 | Carl Maximilian von Bauernfeind, Karl Maximilian von Bauernfeind - 1862 - 874 Seiten
...findet folglich den Winkel A',CB'=C' = y' aus der bekannten Grundformel der sphärischen Trigonometrie: cos c = cos a cos b + sin a sin b cos C, wenn man darin a = 90° — /#, b = 90° — a, c = y und C = y' setzt. Nach dieser Substitution und... | |
 | William Thomas Read - 1862 - 144 Seiten
...triangle, and the included angle, to find the third side. Let a, b, and angle C be given. Kg. 21. Since cos c = cos a cos b + sin a sin b . cos C, and cos C = (2 cos2 -^ — 1); therefore, Q cos c = cos a cos b + sin a sin b . (2 cos2 -~ 1) 0 = cos... | |
 | Isaac Todhunter - 1863 - 182 Seiten
...To shew thai cot a sin b = cot A sin C + cos b cos C. "We have cos a = cos 6 cos c + sin b sin c cos A, cos c = cos a cos b + sin a sin b cos C, sin C sin c = sm a Substitute the values of cos c and sin c in the first equation ; thus , . . , ~... | |
 | Benjamin Greenleaf - 1863 - 504 Seiten
...the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b -\- sin a sin b cos 17; and by means of (147), sin C sin c = s1n a sin A' / />\ / i sin a sin A cos -4 sin C cosa=(cosacosft-)-sma... | |
 | Benjamin Greenleaf - 1863 - 502 Seiten
...the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b -|- sin a sin b cos (7; and by means of (147), sin c sm a sin C sin A* , . ^ 7 sin a sin b cos A sin C cos a = (cos a cos... | |
 | Saturnino Montojo - 1865 - 302 Seiten
...siguientes cos a = cos b cos c + sin b sin c cos A \ cos b = cos c cos a + sin c sin a cos B > («, „) cos c = cos a cos b + sin a sin b cos C ,• en las cuales como se hallen relacionados entre sí t<w dos los elementos del triángulo en toda... | |
 | Albrecht Schrauf - 1866 - 762 Seiten
...cotg v» 2. Bekannt ab G sin c sin B = sin ft sin C sin c cos J? = sin a cos b — cos a sin b cos (7 cos c = cos a cos b -\- sin a sin b cos C cotg a sin ft — cos b cos C „ cotg b sin a — cos a cos C B = - ! - ; - f= -- sin G ÜUS /2 -A... | |
 | Benjamin Greenleaf - 1867 - 188 Seiten
...the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -{- sin b sin c cos A, cos c = cos a cos b -)- sin a sin b cos (7; and by means of (147), sin c sin C sin a -. — j. sin A Substituting these values of cos c and... | |
 | Jean Marie C. Duhamel - 1868 - 966 Seiten
...équations suivantes : ' cosa =cosicosc -f- sine sine cos A, cos b = cos « cos c + sin a sin c cos B, cos c — cos a cos b -+- sin a sin b cos C. On les démontre d'abord dans le cas où l'angle est plus petit que deux droits, et les côtés qui... | |
 | William Rossiter - 1868 - 186 Seiten
...are repeated here for convenience of reference. ,-, ч sin A _ sin В _ sin С sin a sin b sin c (2.) cos c = cos a cos b + sin a sin b cos C. (3.) cot a sin c = cos c cos В + s ¿re В cot A. (4.) <(i»±+I=«*С «*(?=»> 2 2 ras J (»t +... | |
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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. 
