MathDB

14

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

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

Source: Sharygin 2006 IX- XI CR 14

8/23/2019
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.
geometrydiameterLocusLocus problemsorthocenter