MathDB
Intersecting circles

Source: Finnish Mathematics Competition 1999, Final Round, Problem 4

November 14, 2011
geometrycircumcircleratiogeometry unsolved

Problem Statement

Three unit circles have a common point O.O. The other points of (pairwise) intersection are A,BA, B and CC. Show that the points A,BA, B and CC are located on some unit circle.
Back to ProblemsView on AoPS