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" 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:: BC : AB, and sin B :... "
Dictionary of the Mathematical and Physical Sciences, According to the ... - Page 508
edited by - 1823 - 576 pages
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College Physics

Arthur Lee Foley - Physics - 1947 - 732 pages
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Introduction to Engineering Problems

Robert Quixote Brown - Engineering - 1948 - 216 pages
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Practical Shop Mathematics: Elementary

John H. Wolfe, E. R. Phelps - Mathematics - 1958 - 424 pages
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Technical Shop Mathematics

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...
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Excursions in Geometry

Charles Stanley Ogilvy - Mathematics - 1990 - 190 pages
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Machinery

Mechanical engineering - 1898 - 492 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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