2002 OIM Problems/Problem 3

Problem

A point $P$ is interior to the equilateral triangle $ABC$ and satisfies that $\angle APC = 120^{\circ}$. Let $M$ be the intersection of $CP$ with $AB$ and $N$ be the intersection of $AP$ with $BC$. Find the locus of the circumcenter of the triangle $MBN$ by varying $P$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also