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.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

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

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.