 | Ferdinand Kraft, Hermann Grassmann - 1893 - 276 pàgines
...ergiebt sich aus (3) und sodann durch Buchstabenvertauschung cos b = cos c cos a — sin c sin a cos b,, cos c = cos a cos b — sin a sin b cos c,, cos a = cos b cos c — sin b sin c cos a,, welche Formeln den zweiten Fundamentalsatz der sphärischen... | |
 | 1894 - 576 pàgines
...C, these three points lie on a straight line, because the ordinary formula for a spherical triangle cos c= cos a cos b + sin a sin b cos C is easily transformed to cos a— b _ cosa + b — cose ~r-(-i) i-(-cdsC) ' So that if a square be... | |
 | Alexander Macfarlane - 1894 - 60 pàgines
...When A, B, C, are used to denote the external angles between the sides, the above equation is written cos C = — cos A cos B — sin A sin B cos c. Apply the same rule of change to the Sine part, and we obtain Sin (TT— £17) = — cos(ir— ££)... | |
 | 1894 - 448 pàgines
...C, these three points lie on a straight line, because the ordinary formula for a spherical triangle cos c= cos a cos b + sin a sin b cos C is easily transformed to cosa + b — cos a — b _ cos a + b — cose i— (— l) i— ( — cos... | |
 | Alexander Macfarlane - 1894 - 244 pàgines
...trigonometry is, c denoting the angle between the arcs A and B, and (7 denoting the opposite side. cos C = cos A cos B + sin A sin B cos c. A + B FIG. 1. Fio. 2. But suppose that the angle B of Fig. 1 is tilted up, and let c denote the angle... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pàgines
...that OA', OB', OC' bisect the angles of the polar triangle A'B'C'. (35.) 29. EStablish the formula cos c = cos a cos b + sin a sin b . cos C for any spherical triangle ABC. Show that — _ /I _ : V 1 + sin r, _ /I _ cos n cos // cos i• sin... | |
 | John Bascombe Lock - 1896 - 244 pàgines
...angle. cos a = cos b cos c + sin b sin c cos 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 cos c cos A = ; ; , sin b sin c cos b — cos c cos a cosB = cos С —... | |
 | Frederick Anderegg, Edward Drake Roe - 1896 - 134 pàgines
...— b As a check use § 79. If the side c alone is desired, it may be found from the formula, § 77, cos c = cos a cos b + sin a sin b cos C, which may be adapted to logarithmic computation by the aid of an auxiliary angle, as follows : cos... | |
 | George Albert Wentworth - 1899 - 392 pàgines
...cos С' + sin Ь" sin С' cos a'; and similarly, cos B' = — cos A' cos С' + sin A' sin С' cos6'; cos C' = — cos A' cos B' + sin A' sin B' cos c'. EXERCISE XXXV. PAGE 157. 1. Write formulas for finding, by Napier's Rules, the side a when b, c, and... | |
 | Hendrik Antoon Lorentz - 1900 - 516 pàgines
...man cos A = — cos B cos C + sin B sin C cos al cos B— — cos C cos A + sin C sin A cos b \ (22) cos C = — cos A cos B + sin A sin B cos c . \ § 41. Aus den Formeln (20) ergeben sich unmittelbar die Werte der Winkel, wenn die der Seiten... | |
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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. 
