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locus of centers of equilateral triangles, 3 points lie on 3 lines of triangle

Source: 2007 Sharygin Geometry Olympiad Correspondence Round P10

April 26, 2019
geometryLocusEquilateralEquilateral TriangleLocus problems

Problem Statement

Find the locus of centers of regular triangles such that three given points A,B,CA, B, C lie respectively on three lines containing sides of the triangle.