Apollonius problem

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The problem of constructing, in a given plane, a circle tangent to three given circles. The problem is solved by the method of inversion. The circle representing the solution of this problem is known as the Apollonius circle. The problem was named after Apollonius (3rd century B.C.).


[1] , Encyclopaedia of elementary mathematics , 1 , Moscow-Leningrad (1951–1963) (In Russian)
[a1] H.F. Baker, "Principles of geometry" , 4 , F. Ungar (1963)
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Apollonius problem. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article