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locus of orthocenters of APB where P is fixed, AB diameter of fixed circle

Source: Sharygin 2006 IX- XI CR 14

August 23, 2019
geometrydiameterLocusLocus problemsorthocenter

Problem Statement

Given a circle and a fixed point PP not lying on it. Find the geometrical locus of the orthocenters of the triangles ABPABP, where ABAB is the diameter of the circle.
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