Difference between revisions of "2005 IMO Problems/Problem 5"
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Revision as of 12:21, 23 August 2020
Let be a fixed convex quadrilateral with and . Let two variable points and lie of the sides and , respectively, and satisfy . The lines and meet at , the lines and meet at , the lines and meet at . Prove that the circumcircles of the triangles , as and vary, have a common point other than .