Geodesic
On some Extensions of Morley’s Trisector Theorem
Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 197-205.

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We establish a simple generalization for the famous theorem of Morley about trisectors in a triangle with a purely synthetic proof using only angle chasing and similar triangles. Furthermore, based on the converse construction, some other extensions of Morley's Theorem are created and proven.
Classification : 51M04, 51-03
Mots-clés : Morley's trisector theorem, Morley's triangle, equilateral triangle, perspective triangle 
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     author = {N. Dergiades and T. Q. Hung },
     title = {On some {Extensions} of {Morley{\textquoteright}s} {Trisector} {Theorem}},
     journal = {Journal for geometry and graphics},
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     year = {2020},
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N. Dergiades; T. Q. Hung . On some Extensions of Morley’s Trisector Theorem. Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 197-205. http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a4/