**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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