A First Morley Triangle Concurrence

In a triangle, join the points of intersection of successive angle trisectors to get three points (Morley's first triangle). Join the vertices to those three points along the trisectors to form six triangles. The lines joining the opposite incenters of those triangles are concurrent.

Details

A. Bogomolny, "Circles in Morley's Triangles," Interactive Mathematics Miscellany and Puzzles.

External Links

Angle Trisection (Wolfram MathWorld)

Concurrent (Wolfram MathWorld)

First Morley Triangle (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Morley's Theorem (Wolfram MathWorld)

Permanent Citation

Jay Warendorff, Alexander Bogomolny

"A First Morley Triangle Concurrence"
http://demonstrations.wolfram.com/AFirstMorleyTriangleConcurrence/
Wolfram Demonstrations Project
Published: March 7, 2011