property of line connecting tangent points of two circles to a third one
Source: Sharygin 2006 finals 9.1
September 12, 2019
tangent circlescirclesgeometry
Problem Statement
Given a circle of radius . Two other circles, the sum of the radii of which are also equal to , tangent to the circle from the inside. Prove that the line connecting the points of tangency passes through one of the common points of these circles.