| International Correspondence Schools - Civil engineering - 1899 - 814 pages
...method, however, is the following: In higher works on trigonometry, it has been demonstrated that, **in any triangle, the sines of the angles are proportional to the** lengths of the sides opposite to them. In other words, sin A : sin B :: BC : AC; or, sin A : sin C::... | |
| University of Sydney - 1901 - 646 pages
...1. Prove the formula for expanding sinfA+B1) and .simplify Bin(A+90°), cos(— A— 180°), tt 2. **In any triangle the sines of the angles are proportional to the** opposite sides. 3. If AD be drawn perpendicular to BG in the triangle ABO, prove that BD— CI>—fi... | |
| International Correspondence Schools - Cartography - 1903 - 846 pages
...method, however, is the following: In higher works on trigonometry, it has been demonstrated that, **in any triangle, the sines of the angles are proportional to the** lengths of the sides opposite to them. In other words, sin A : sin B : : BC : AC; or, sin A : sin C... | |
| John G. Anderson - Shop mathematics - 1983 - 554 pages
...lies opposite the smallest angle. In trigonometry, this relationship is developed into the Sine Law: **In any triangle, the sines of the angles are proportional to the** lengths of the opposite sides. In Fig. 16-12, an acute oblique triangle ABC is shown. An altitude BD... | |
| Mechanical engineering - 1898 - 498 pages
...by Mr. Darcy E. Lewellen, of Columbus, Ind. Problem 6.— Since angle BDC — 90 degrees, and since **in any triangle the sines of the angles are proportional to the sides** oppo site, and since sides DA and DB are equal, the opposite angles must be equal. Since the sum of... | |
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