Poster of Geometry Problem 1380: Common Internal Tangents. Circles, Secant, Congruent Chords, iPad Apps

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.

 

See solution below

See also:
Original problem 1380.

Geometric Art using iPad or Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.