Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 127
les touches each of three other circles,the radical centre of the three circles will I?e a centre of simili-tude of the two circles. 96. Problem. To draw a circle tangent to three givencircles. Construction. Let L, TIf and Wbe the three circles.Find their radical centre, (7, and an axis of… … The circle through the three points l, m, n will be one ofthe tangent circles required, and the circle through the threepoints Vy m, n will be the other. Proof. The axis of similitude 8 is the radical axis ofsome pair of circles touching the three given circles (§ 95,Cor. 1), and C is one of their…
Geometry, Analytic
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