locus of midpoints of chords, 2 intersecting equal circles related
Source: Sharygin 2005 VIII-IX CR 3
August 18, 2019
geometryLocusmidpointchordequal circles
Problem Statement
Given a circle and a point inside it. An arbitrary circle equal to the given one and passing through the point has a common chord with the given circle. Find the geometric locus of the midpoints of these chords.