MathDB

P10

Part of 2016 Sharygin Geometry Olympiad

Problems(1)

locus of circumcenters of IXY where I is incenter of ABC

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

7/25/2018
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.
geometrycircumcircleincenterLocus