Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal for Geometry and Graphics 24 (2020), No. 2, 197--205
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, 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; 51-03

[ Fulltext-pdf  (866  KB)]