Elements of Trigonometry

Cover Elements of Trigonometry
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Prolong the sides AB and AC of triangle ABC. Bisect angles A, B, and CBC }, these bisectors meeting at and 0^ The point is the center of the incircle which touches the sides of the triangle in A, B Q, and x i y\ = c which give which give a; = ^LB = -4^0 = s *a, x l AB l = Ad = s, Zl = CA l =CB l =s-b.
Now the two triangles AOC and AOid are similar be- cause their sides are respectively parallel; and the two triangles BOCo and BOid are similar because their sides are respectively perpendicular
...; hence OC^_Ad Qr r = s - a } r^ s OC _BC or s-b.

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