MathDB
17th ibmo - el salvador 2002/q3

Source: Spanish Communities

April 14, 2006
geometrycircumcirclesymmetryperpendicular bisectorgeometry unsolved

Problem Statement

Let PP be a point in the interior of the equilateral triangle △ABC\triangle ABC such that ∢APC=120∘\sphericalangle{APC}=120^\circ. Let MM be the intersection of CPCP with ABAB, and NN the intersection of APAP and BCBC. Find the locus of the circumcentre of the triangle MBNMBN as PP varies.
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