MathDB
locus of circumcenters as M in BA, N in AC with BM=CN

Source: Champions Tournament (Ukraine) - Турнір чемпіонів - 2007 Seniors p3

September 6, 2020
geometrycircumcircleLocusequal segmentsChampions Tournament

Problem Statement

Given a triangle ABCABC. Point MM moves along the side BABA and point NN moves along the side ACAC beyond point CC such that BM=CNBM=CN. Find the geometric locus of the centers of the circles circumscribed around the triangle AMNAMN.
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