MathDB
TOT 311 1991 Autumn O S1 2 tangent circles, tangent to an angle

Source:

June 9, 2024
geometrytangent circles

Problem Statement

Two circles with centres AA and BB lie inside an angle. They touch each other and both sides of the angle. Prove that the circle with the diameter ABAB touches both sides of the angle.
(V. Prasolov)