Locus of intersection of (A_1BC_2) and (A_2BC_1)
Source: Oral Moscow Geometry Olympiad 2024, 10-11.5
September 3, 2024
geometryparallelogram
Problem Statement
From point of parallelogram were drawn an arbitrary line , intersecting the segment and the line at points and , respectively, and an arbitrary line intersecting the segment and the line at the points and , respectively. Find the locus of the intersection points of the circles and (other than point ).