 | August Ferdinand Möbius - Mathematics - 1886 - 722 pages
...Gleichungen (I), .. (IV) statt at, i, , c, die Winkel A, B, C einführt , (I) sin b sin C = sin c sin B , (u) cos c — cos a cos b — sin a sin b cos C , (III) sin a cotg b — sin C cotg B + cos a cos C , (IV) cos C + cos A cos B = sin A sin B cos c... | |
 | Rogier Diederik Marius Verbeek - Dutch - 1886 - 638 pages
...alors par les formules: cos B cos N tang M = cos c tang B; N = A — M; cos C = -- ; cos M on a aussi : cos C =. cos A cos B + Sin A sin B cos c, mais c«tte formule ne se prête pas au calcul par togarithmes. 3§7. Le mille géographique est pris... | |
 | Webster Wells - Trigonometry - 1887 - 200 pages
...(Art. 144) . tan rWhence, In like mauner we have, cos b = cos c cos a + sin c sin a cos B, (88) and cos c = cos a cos b + sin a sin b cos C. (89) 157. Let ABC and A'B'C' be a pair of polar triangles. Applying the theorem of Art. 156 to the... | |
 | 1891 - 718 pages
...sin 20 + £ x3 sin 39 + 10. Resolve cos 6 into factors. Prove that 113 6 4?r c°S 5 11. Prove that in any spherical triangle cos c = cos a cos b + sin a sin b cos C, Prove that in any equilateral spherical triangle sec A = 1 + sec a. PUEE MATHEMATICS.— PART I. SECOND... | |
 | G. Lion - Crystallography, Mathematical - 1891 - 170 pages
...b sin c cos A \ entre les trois (2) cos b = cos a cos c. -j- sin a sin c cos B > côtés et un (3) cos c = cos a cos b + sin a sin b cos C ) angle. sin a sin b sine ) entre deux côtés et les angles * sin A sinB sin C' l opposés. Si dans... | |
 | George Albert Wentworth - 1891 - 286 pages
...have an oblique spherical triangle with three sides given to find the angle C. Now from Formula [44], cos c = cos a cos b + sin a sin b cos C; then by substituting, cos d= cos (90°- 1) cos (90° - 1') + em(90°-Z) x sin (90°- 1') cos (m - m')... | |
 | 1891 - 644 pages
...4tA sin 6 A 9. Given cos a = cos b cos c + sin b sin c cos A , sin a sin c and — ~ sm A sin C prove cos c — cos a cos b ± sin a sin b cos C. 10. State the different combinations of data from among the four sides and the four angles of a quadrilateral... | |
 | Sir George Greenhill - Elliptic functions - 1892 - 386 pages
...vs ; so that o = am(/rt;1, l//c), 6 = am(xn;2, l//c), c = am(»c'U3, l//c). The fundamental formula cos c = cos a cos b + sin a sin b cos c now leads to the formula of § 121, dn va = dn i>jdn r, +/c2sn VjSn v2 en i>3, In the degenerate case... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...cos A + sin C sin A cos b. * From the nature of projections (Plane and Solid Geom., Art. 326). 13. cos C = — cos A cos B + sin A sin B cos c. 14. cot a sin b = cot A sin C + cos C cos b . . (Art. 193) 15. cot a sin с = cot A sin B + cos B cos... | |
 | Ferdinand Kraft, Hermann Grassmann - Ausdehnungslehre - 1893 - 276 pages
...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... | |
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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. 
