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Journal for Geometry and Graphics 08 (2004), No. 2, 225--230
Copyright Heldermann Verlag 2004

Generalized Apollonian Circles

Paul Yiu
Dept. of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, U.S.A.

Given a triangle, we construct a one-parameter family of triads of coaxial circles orthogonal to circumcircle and mutually tangent to each other at a point on the circumcircle. This is a generalization of the classical Apollonian circles which intersect at the two isodynamic points.

Keywords: Apollonian circles, barycentric coordinates, circumconics.

MSC: 51M04

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