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Prove that there is a point E on AB

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October 7, 2010
geometry proposedgeometry

Problem Statement

AA circle γ\gamma is drawn and let ABAB be a diameter. The point CC on γ\gamma is the midpoint of the line segment BDBD. The line segments ACAC and DODO, where OO is the center of γ\gamma, intersect at PP. Prove that there is a point EE on ABAB such that PP is on the circle with diameter AE.AE.
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