locus of circumcenters - VI Soros Olympiad 1999-00 Round 1 9.8
Source:
May 21, 2024
geometrycircumcircle
Problem Statement
Given a line and a ray on a plane with its origin on this line. Two fixed circles (not necessarily equal) are constructed, inscribed in the two formed angles. On ray , point is taken so that the tangents from to the given circles, different from , intersect line at points and , and at the same time triangle contains the given circles. Find the locus of the centers of the circles inscribed in triangle (as moves).