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locus of third vertices of equilateral triangles

Source: 1994 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p2

January 27, 2020
geometryLocusEquilateral

Problem Statement

A line gg and a point AA outside gg are given in a plane. A point PP moves along gg. Find the locus of the third vertices of equilateral triangles whose two vertices are AA and PP.
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