Trisectors and Circumcircles

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If the angular trisectors of a triangle are produced to the circumcircle, then the chords of adjacent trisectors form an equilateral triangle (in yellow) with sides parallel to the Morley triangle (in black). By moving the orange vertices around a fixed circumcircle these equilateral triangles can be seen as the result of intersecting the corresponding trisectors lines (in purple) and chords (in yellow).

External Links

Circumcircle (Wolfram MathWorld)
Morley's Theorem (Wolfram MathWorld)
Morley's Theorem

Permanent Citation

Jaime Rangel-Mondragon
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​"Trisectors and Circumcircles"​
​http://demonstrations.wolfram.com/TrisectorsAndCircumcircles/​
​Wolfram Demonstrations Project​
​Published: November 2, 2010