Find the locus of point
Source: IberoAmerican Mathematical Olympiad 2004, Problem 2
May 23, 2007
geometrycircumcircleinductionratiogeometric transformationreflectionpower of a point
Problem Statement
In the plane are given a circle with center and radius and a point outside the circle. For any point on the circle, let be the diametrically opposite point. Find the locus of the circumcenter of triangle when describes the circle.