locus of midpoints of segments, circumcircle related
Source: Sharygin Final 2007 9.4
April 30, 2019
geometrycircumcircleLocusLocus problemsmidpoints
Problem Statement
Given a triangle . An arbitrary point is chosen on the circumcircle of triangle ( is the orthocenter of triangle ). Lines and meet the opposite sidelines of the triangle at points and , respectively. Determine the locus of midpoints of segments .