Geometry Problem 1394: Three Circles and Three Pair of Common Internal Tangents, Concurrency

Proposition

The figure below shows three external circles A, B, and C in a plane, D, E, and F are the intersections of the common internal tangents of circles A,B, A,C and B,C, respectively. Prove that AF, BE, and CD are concurrent.

Geometry Problem 1394: Three Circles and Three Pair of Common Internal Tangents, Concurrency, Tutor
 

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