 | Karl Klein - Crystallography - 1876 - 504 pages
...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. cos A 4- sin A . cotg B cotg c . sin b — cos b . cos A -t- sin A . cotg C... | |
 | Karl Klein - Crystallography - 1876 - 456 pages
...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 ) In folgender Tabelle sind alle zur Auflösung der schiefwinkeligen Dreiecke nöthigen Formeln, logarithmisch... | |
 | Henry Nathan Wheeler - Trigonometry - 1876 - 218 pages
...• . cos a = cos b cos c + sin b sin c cos A, and similarly cos b = cos c cos a + sin c sin a cos B, ' cos c = cos a cos b + sin a sin b cos C. NOTE. What has been said about the measurement of straight lines in § 2, Plane Trig., will apply equally... | |
 | Harvard University - 1876 - 554 pages
...angle which differs more from 90° than another angle is in the same quadrant as its opposite side. cos C + cos A cos B = sin A sin B cos c. 2. In the spherical oblique triangle MNO, given m, n, M; obtain, by Napier's and Bowditch's rules, formulas... | |
 | Johannes Frischauf - 1876 - 40 pages
...Trigonometrie. 19 sin a s/n ö : «nc = sin A : sin B cos c — cos a cos b sin C cos C •• c — sin a sin b cos C + cos A cos B sin A sin B 3. Aufgaben und Resultate für das Dreieck. B 67° 59/3 116 31.4 63 15.2 63 15.2 4. Ausdrücke für... | |
 | Dublin city, univ - 1876 - 420 pages
...the relation ra cos A + i cos B -fe cos C B a + b + e 3. In a spherical triangle prove the formula cos c = cos a cos b + sin a sin b cos C, and deduce the corresponding formula by aid of the polar triangle. 4. What do the preceding resslts... | |
 | Rehuel Lobatto - Trigonometry - 1877 - 382 pages
...namelijk cos A = — cos B cos C -f- sin B sin C cos a, cos B = — cos A. cos G + sin A sin G cos b , cos C = — cos A cos B -+- sin A sin B cos c, gevende volgens de herleidingen der vorige paragraaf: sin a = | v . , .—cos S cos (S—A) cos - t*... | |
 | Johannes Frischauf - Geometry - 1877 - 216 pages
...Dreieck C'AB ist C'A = b" = 2 Л - b, C'B — «" = 2 R - a, Winkel C' = C. Da a" < R, b" <R ist, so ist cos c = cos a" cos b" + sin a" sin b" cos C', cosc = cos(2Д — a)cos(2Л — b) + sin(2B — a)sin(2.ß — b)cosC, woraus wieder cos c = cos a... | |
 | Benjamin Williamson - Differential calculus - 1877 - 442 pages
...expression for the difference between the other sides, as far as terms of ihe second order in i. Here cos c = cos a cos b + sin a sin b cos C. Let 2 denote the difference in question ; ie c = a - 2 ; then cos a cos 2 + sin a sin 2 = cos « cos... | |
 | Naturforschende Gesellschaft in Zürich - Science - 1877 - 922 pages
...Proportion l Sin vers C Sin a . Sin b Sin vers c — Sin vers (a—b) eben, die eine Umgestaltung von Cos c = Cos a Cos b + Sin a Sin b Cos C ist So wurde 1587 I 29, 4y2h Abends im westlichen -Wimuthe 47° 0' die Holte der Venus 30° 46' erhalten,... | |
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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. 
