Theorem of the Equal Incircles
Theorem of the Equal Incircles
Take three adjacent triangles with a common base that have incircles with the same radius. Then the incircles of both double triangles also have the same radius. With four or more triangles, the equality propagates sidewards and upwards, so as to pile up in a pyramid of incircles, all equal in the same horizontal layer.
Details
Details
D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, London: Penguin, 1991 p. 67.
External Links
External Links
Permanent Citation
Permanent Citation
Claude Fabre
"Theorem of the Equal Incircles"
http://demonstrations.wolfram.com/TheoremOfTheEqualIncircles/
Wolfram Demonstrations Project
Published: March 7, 2011