
Journal for Geometry and Graphics 24 (2020), No. 2, 197205 Copyright Heldermann Verlag 2020 On some Extensions of Morley’s Trisector Theorem Nikos Dergiades Thessaloniki, Greece ndergiades@yahoo.gr Tran Quang Hung High School for Gifted Students, Vietnam National University at Hanoi, Hanoi, Vietnam tranquanghung@hus.edu.vn 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. Keywords: Morley's trisector theorem, Morley's triangle, equilateral triangle, perspective triangle. MSC: 51M04; 5103 [ Fulltextpdf (866 KB)] 