Three Tangent Lines


Problem

Draw three circles C1,C2,and C3 so that each circle has different radius. Select C1 and C2, then draw two tangent lines of those circles as below. Repeat the same process for (C2 and C3) and (C3 and C1).
Find the relation among three intersection points.

How to use the applet

To move circle, drag the centerpoints. To change the radius, drag the circle.

Applet