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locus of circumcenters of IXY where I is incenter of ABC

Source: Sharygin Geometry Olympiad 2016 First Round P10 grades 8-9

July 25, 2018
geometrycircumcircleincenterLocus

Problem Statement

Point XX moves along side ABAB of triangle ABCABC, and point YY moves along its circumcircle in such a way that line XYXY passes through the midpoint of arc ABAB. Find the locus of the circumcenters of triangles IXYIXY , where I is the incenter of ABC ABC.
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