 | William Chauvenet - 1852 - 268 pages
...positions of the lines of the diagram. 5. In a spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the continued product of the sines of those sides and the cosine of the included angle. Let the plane B'A'С',... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...= cos. ACD : cos.BCD. PROPOSITION VII. The cosine of any side of a spherical triangle, is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides multiplied by the cosine of the included angle. Let ABC be a spherical triangle,... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...(147) (148) (149) TRIGONOMETRY. 149. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let A BC be any spherical triangle,... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...is still equal to the sine of G. 149. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical triangle,... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the sine of C. 7* TRIUONOMETRY. 1 49. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let ABC be any spherical triangle,... | |
 | Edward Olney - Trigonometry - 1885 - 222 pages
...for the general student] 143- Prop- — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos c... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...for the general student] 143. Prop. — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos c... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...for the general student.] 143. Prop. — In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos с... | |
 | Edward Olney - Trigonometry - 1872 - 216 pages
...for the general student.] 143. Prop. — In a Svherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle; that is, (1) cos a — cos b cos... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...the sine of G. 7» TRIGONOMETRY. 149. In any spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those two sides into the cosine of their included angle. Let A В C be any spherical triangle,... | |
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In a spherical triangle the cosine of any side is equal to the product of the cosines of the other two sides plus the product of the sines of these two sides and the cosine of their included angle. 
