MathDB
Similar with Simson's line !

Source:

February 4, 2015
geometrycircumcircle

Problem Statement

Let ABCABC be an equilateral triangle , and PP be a point on the circumcircle of the triangle but distinct from AA ,BB and CC. The lines through PP and parallel to BCBC , CACA , ABAB intersect the lines CACA , ABAB , BCBC at MM , NN and QQ respectively .Prove that MM , NN and QQ are collinear .
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