Question

Who wants to check a geometry proof?

1)Given three mutually externally tangent circles. Prove that the three tangents to each pair of circles intersect at the same point.
PF:
1. Construct centers to the circles name them A,B,C.
2. Form triangle ABC. Label the radii a,b,c.
3. Label the intersection points of the circles with ∆ABC.
4.By Ceva's thm. The tangents intersect at one pt.