Geometry Problem 1393: Monge's Circle Theorem, Three Circles and Three Pair of Common Tangents, Collinearity

Proposition

For any three external circles in a plane, the intersection points of each of the three pairs of external tangents are collinear.
Gaspard Monge (1746 - 1818) was a French mathematician, the inventor of descriptive geometry

Geometry Problem 1393: Monge's Circle Theorem, Three Circles and Three Pair of Common Tangents, Collinearity
 

See solution below


Flyer of Monge's Circle Theorem using iPad Apps

Flyer of Monge's Circle Theorem using iPad Apps, Tutor


Geometry Problem 1393 Solution(s)