MathDB

2007.3

Part of Champions Tournament Seniors - geometry

Problems(1)

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

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

9/6/2020
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.
geometrycircumcircleLocusequal segmentsChampions Tournament