I have not yet read any notification of the fact that in stead of inside trisectors also outside trisectors can be used. The equilateral triangle you get from the outside trisectors and the one you get from the inside trisectors are reflections of each other over the circumcenter.
Best regards, Floor van Lamoen.
Den Roussel wrote: > > While investigating the Morley triangle, I came upon this theorem which > some might find interesting. > > If the Angular trisectors of a triangle > are produced to the Circumcircle , then the Chords of adjacent > trisectors form an Equilateral triangle. > > It has been suggested that this result might follow from Morleys > theorem. So far, I have been unable to make this connection. Any > thoughts ? > > Den Roussel