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Locus of concyclic points

Source: Sharygin Geometry Olympiad 2012 - Problem 13

April 28, 2012
geometrycircumcirclegeometric transformationhomothetygeometry unsolved

Problem Statement

Points A,BA, B are given. Find the locus of points CC such that CC, the midpoints of AC,BCAC, BC and the centroid of triangle ABCABC are concyclic.
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