 | August Leopold Crelle, Carl Wilhelm Borchardt, Leopold Kronecker, Lazarus Fuchs, Kurt Hensel, Helmut Hasse, Friedrich Schottky - 1913 - 348 pàgines
...Kante a und den Halbierungslinien von ß , y als Kanten, in welcher u dem a gegenüberliegt, liefert cos a' = cos £ ß cos £ y + sin ^ ß sin £ y cos a = 0 , also «'=90° und ebenso /?'=90°, y' =90°. *) ZB BaUzer, Eiern, der Math., 3. Aufl., Trig.... | |
 | George Neander Bauer, William Ellsworth Brooke - 1917 - 344 pàgines
...remaining parts. Let a, ß, a be the given parts. First. To find y. The relation between u, ß, a, and y is cos a = — cos ß cos y + sin ß sin y cos a. (1) Let m sin M= cos ß, (2) and m cos M = sin ß cos a. (3) Then cos « = msin(y — M~). (4) From... | |
 | Heinrich Behnke, F. Bachmann, K. Fladt - 1974 - 708 pàgines
...cos a = Taking interior angles and permuting cyclically, we obtain the cosine theorems for the angles cos a = —cos ß cos y + sin ß sin y cos a, cos ß = —cos y cos a + sin y sin a cos b, cos y = —cos a cos ß + sin a sin /Î cos c, and similarly... | |
 | Werner Fenchel - 1989 - 248 pàgines
...y ' and (6) yields cos a = cos b cos c + sin b sin c cos a , and the analogues for cos b and cos c, cos a = — cos ß cos y + sin ß sin y cos a , and the analogues for cos ß and cos y. VI.4 Determination of a hexagon by three of its sides that... | |
 | Albrecht Unsöld, Bodo Baschek - 2001 - 586 pàgines
...hold: sin a : sin b : sin c = sin a : sin ß : sin y cos a = cos b + cos c + sin b sin c • cos a cos a — - cos ß cos y + sin ß sin y • cos a . 2. Resolving Power and Brightness (Sects. 3.4 and 5.1) The apparent visual magnitude of Jupiter's... | |
 | Miles Reid, Balazs Szendroi - 2005 - 218 pàgines
...the side lengths of a spherical triangle Ò.PQR and a, h, c the opposite angles. Use the main formula cos a = cos ß cos y — sin ß sin y cos a to prove that \ß — y\ < a < ß + y and o? + ß + y <2n. Prove that every triple with a, ß, y <... | |
 | Ernst Sommerfeldt - 1906 - 292 pàgines
...sin a cos ß , sowie dualistisch : cos y = cos « cos ß — sin er sin ß cos c . . («i P, y sind cos a = cos ß cos y - sin ß sin y cos a AußenVinkel\ Literatur- und Formelverzeichnis. 135 Nr. 100. Drei Unbekannte r, r, r", welche in drei... | |
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... cos y. cos a = — cos ß - cos y + sin ß - sin y - cos a. cos ß = — cos y - cos a + sin y - sin a - cos b, cos y = - cos a - cos ß + sin a - sin ß - cos c. 
