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Prove that P lies on line BE.

Source: Austrian Mathematical Olympiad 2002, Part 2, D1, P3

June 25, 2011
geometrycircumcirclegeometry proposed

Problem Statement

Let ABCDABCD and AEFGAEFG be two similar cyclic quadrilaterals (with the vertices denoted counterclockwise). Their circumcircles intersect again at point PP. Prove that PP lies on line BEBE.
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