Geometry Problem 1379: Common External Tangents. Circles, Secant, Congruent Chords.

Proposition

In the figure below, CD and EF are the common external tangents to the circles A and B. CF 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 1379: Common External Tangents. Circles, Secant, Congruent Chords

Art of Geometry Problem 1379 using Mobile Apps. Circle Patterns

 

Art of problem 1379 patterns, using mobile apps, iPad, iPhone


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.

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