Geometry Problem 1380: Common Internal Tangents. Circles, Secant, Congruent Chords.

Proposition

In the figure below, CD and EF are the common internal tangents to the circles A and B. CF extended intersects the circles A and B at G and H, respectively. Prove that the chords CG and HF are congruent.

This entry contributed by Markus Heisss, Wurzburg, Bavaria. Published in: "Die Wurzel - Zeitschrift fur Mathematik", Dec. 2005, www.wurzel.org.

 

Geometry Problem 1380: Common Internal Tangents. Circles, Secant, Congruent Chords
 

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