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fixed point for circumcircles - - VI Soros Olympiad 1999-00 Round 1 10.10

Source:

May 21, 2024
geometryfixedFixed point

Problem Statement

Take an arbitrary point DD on side BCBC of triangle ABCABC and draw a circle through point DD and the centers of the circles inscribed in triangles ABDABD and ACDACD. Prove that all circles obtained for different points DD of side BCBC have a common point.
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