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locus of P: APB+CPD=180

Source: ItaMO 2012, P5

May 21, 2012
geometrycircumcirclegeometric transformationreflectionsymmetrygeometry proposed

Problem Statement

ABCDABCD is a square. Describe the locus of points PP, different from A,B,C,DA, B, C, D, on that plane for which APB^+CPD^=180āˆ˜\widehat{APB}+\widehat{CPD}=180^\circ
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