An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 89
Erespectively. 72 THE INSCRIBED AND ESCRIBED The inscribed and escribed circles. 126. The internal bisectors of the angles of a triangle areconcuiTent (§ 100, Ex. 1). It is evident that the point in whichthey meet is equidistant from the sides of the triangle. Thereforethe circle which has this… … B L C If L, M, N be the points of contact of the sides, we haveAM=AN, BL = BN, CL = CM. Hence, denoting the lengths of the sides by a, b, c, and theperimeter by 2s, we have AM = AN=s-a,BL =^B]V = s-b,CL =CM = s-c. 127. The internal bisector of the angle BAG, and the externalbisectors of the angles…
Geometry
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