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Show that the sides of the Morley triangle of T (cf. 10.3.10) lie on three of those lines (notice that each vertex of the Morley triangle is the center of a cardioid lying inside T and tangent to all its sides, one of them twice.)
2013, Dragoslav S. Mitrinovic, J. Pecaric, V. Volenec, Recent Advances in Geometric Inequalities, page 276:
The length of a side of the Morley triangle of a given triangle T is less than one third the length of the smallest side of T. Remark. The Morley triangle of T is the equilateral triangle formed by the intersection in pairs of the angle trisectors of T.
2016, Erik Seligman, Math Mutation Classics, page 27:
There are a total of 18 Morley triangles that can be constructed. One amusing article I spotted on the web was from a math enthusiast who wrote a computer program trying to illustrate the central Morley triangle we started with, but due to a bug actually trisected the exterior angles in come cases... and was surprised to produce equilateral Morley triangles anyway!
