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The Intersection of Circumcircles of Medial Triangles

Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, PAB, PBC, and PCA are concurrent.

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"The Intersection of Circumcircles of Medial Triangles" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheIntersectionOfCircumcirclesOfMedialTriangles/
Contributed by: Jay Warendorff
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