MathDB
IMO LongList 1967, Socialists Republic Of Czechoslovakia 3

Source: IMO LongList 1967, Socialists Republic Of Czechoslovakia 3

December 16, 2004
geometryincenterangle bisectorLocusLocus problemsIMO ShortlistIMO Longlist

Problem Statement

Circle kk and its diameter ABAB are given. Find the locus of the centers of circles inscribed in the triangles having one vertex on ABAB and two other vertices on k.k.