Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 60
rm, sin A sin B sin O Each of these equal ratios has a simple geometrical mean-ing which will appear if the Law of Sines is proved as follows : Circumscribe a circle about the triangle ABC (Fig. 32),and draw the radii OA, OB, 00;these radii divide the triangle intothree isosceles triangles. Let… … Fig. 32. 2B = sin A sinB sin C That is : TJie ratio of ar\y side of a triangle to the sine of theopposite angle is numerically equal to the diameter of the cir*cumscribed circle. 52 TRIGONOMETRY. Ir § 37. Law of Cosines. This law gives the value of one side of a triangle in termsof the other two…
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