POLYA030:  Congruent circles tangent to BAC and BIC (proposed by Antreas P. Hatzipolakis, 11/13/01).
Given triangle ABC with incenter I, construct two congruent circles tangent to angles BAC and BIC respectively, and to each other. What is their common radius?

Discussion.

[PY, 8/12/02]: I have just received a detailed solution of 16 typing pages from Herr Volkard Schindler from Berlin, Germany. I shall study the solution and write a summary here later. Herr Schindler, please give me your email address.

Bibliography.

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