One interesting locus [collinear points and circle]
Source: Moldavian Olympiad
September 30, 2004
geometrygeometric transformationhomothetyprojective geometrygeometry solved
Problem Statement
Let A,B,C be three collinear points and a circle T(A,r).
If M and N are two diametrical opposite variable points on T,
Find locus geometrical of the intersection BM and CN.