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

See solution below

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.


Geometry Problem 1379 Solution(s)