| George Albert Wentworth - Plane trigonometry - 1896 - 272 pages
...obtain, in the same way, b sin B e sin C a о sin C Hence the Law of Sines, which may be thus stated : The sides of a, triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it will be evident... | |
| Sir Richard Glazebrook - Hydrostatics - 1896 - 204 pages
...forces P, Q, R are proportional to the sides BC, CA and AB of the triangle ABC respectively. Moreover the sides of a triangle are proportional to the sines of the opposite angles. Thus the forces are proportional to the sines of the angles of the triangle which are opposite to them.... | |
| George Albert Wentworth - Trigonometry - 1896 - 344 pages
...the same way, b sin B a sin A с sin C a с sin C Hence the Law of Sines, which may be thus stated : The sides of a triangle are proportional to the sines of the opposite tin g les. If we regard these three equations as proportions, and take them by alternation, it will... | |
| George William Jones - Trigonometry - 1896 - 216 pages
...regarded as relating to a spherical triangle, it may be written : The sines of the sides of a spherical triangle are proportional to the sines of the opposite angles ; and the law of cosines may be expressed in like form. QUESTIONS. If ABC be any spherical triangle, then : 1.... | |
| Robert Henry Smith - Calculus - 1897 - 250 pages
...'sin (y - a) sin (y - a) and (y - a), are the three angles between b and c, a arid b, c and a. Since the sides of a triangle are proportional to the sines of the opposite angles, it follows immediately that these three angles be, ab, and ca, to which the three branches are to be... | |
| Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...cos( — A) =cos A, cot ( — A) = — cot A. 13. sin {A — B) = sin A cos В — cos A sin B. 14. The sides of a triangle are proportional to the sines of the opposite angles. 15. The area of a parallelogram is equal to the product of any two adjacent sides by the sine of the... | |
| English language - 1897 - 726 pages
...either acute angle 8 Solution of oblique triangles. The relation of the three angles of a triangle. The sides of a triangle are proportional to the sines of the opposite angles. That is, a : b = sin A : sin B The sum of two sides of a triangle is to their difference as the tangent... | |
| George Albert Wentworth - Logarithms - 1897 - 384 pages
...the same way, b sin B a sin A e sin C a e sin C Hence the Law of Sines, which may be thus stated : The sides of a triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it will be evident... | |
| George Albert Wentworth - Logarithms - 1897 - 266 pages
...obtain, in the same way, sin.В siu C a e sin^í sin C Hence the Law of Sines, which may be thus stated : The sides of a triangle are proportional to the sines of the opposite anales. If we regard these three equations as proportions, and take them by alternation, it will be... | |
| Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...regarded as relating to a spherical triangle, it may be written : The sines of the sides of a spherical triangle are proportional to the sines of the opposite angles ; and the law of cosines may be expressed in like form. QUESTIONS. If ABC be any spherical triangle, then : 1.... | |
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