A First Morley Triangle Concurrence

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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 (March 2011)
After work by: Alexander Bogomolny
Open content licensed under CC BY-NC-SA


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Details

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



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