Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 54
vident that they may be written inthe symmetrical form a b c sin A sin B sin C Each of these equal ratios has a simple geometrical meaningwhich will appear if the LaAv of Sines is proved as follows: Circumscribe a circle about thetriangle ABC (Fig. 55), and drawthe radii OB, OC. Let it denotethe… … Fig. 55 2R = c sin A sin B sin C That is : The ratio of any side of a triangle to the sine ofthe opposite angle is numerically equal to the diameter of thecircumscribed circle. 66 PLANE TRIGONOMETRY SECTION XXXV LAW OF COSINES This law gives the value of one side of a triangle in termsof the other…
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