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
 

See solution below


Geometric Art of problem 1394: Circular Patterns using iPad Apps


Geometric Art of problem 1394: Circular Patterns using iPad Apps

Geometric Art using 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.


Geometry Problem 1394 Solution(s)