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A,B,C on a circle, B,C fixed, A moving, find locus of incenters of ABC

Source: Mexican Mathematical Olympiad 1988 OMM P6

July 27, 2018
geometryLocuscircleincenter

Problem Statement

Consider two fixed points B,CB,C on a circle ww. Find the locus of the incenters of all triangles ABCABC when point AA describes ww.