Another Solution of Apollonius Tenth Problem

نویسندگان

  • Marina Gavrilova
  • Jon G. Rokne
چکیده

We provide a new solution for the famous Apollonius Tenth Problem. The problem is to construct a circle tangent to three given circles in the plane. An equivalence between analytical and geometric approaches to the solution is explored. A new analytical solution for the problem is presented and a step by step geometrical interpretation of this solution is provided. We show that this interpretation can be constructed using only ruler and compass. We prove that the result of this geometrical construction is a circle tangent to given three circles, thus providing new geometrical solution to the Apollonius Tenth Problem.

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تاریخ انتشار 2000