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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.


	Contributed by: Jay Warendorff After work by: Alexander Bogomolny

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

Angle Trisection (Wolfram MathWorld)

Concurrent (Wolfram MathWorld)

First Morley Triangle (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Morley's Theorem (Wolfram MathWorld)

"A First Morley Triangle Concurrence" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AFirstMorleyTriangleConcurrence/

Contributed by: Jay Warendorff

After work by: Alexander Bogomolny

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