English

On some extensions of Morley's trisector theorem

History and Overview 2020-05-19 v1 Metric Geometry

Abstract

We establish a simple generalization for the famous theorem of Morley about trisectors in triangle with a purely synthetic proof using only angle chasing and similar triangles. Furthermore, based on the converse construction, another simple extension of Morley's Theorem is created and proven.

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Cite

@article{arxiv.2005.08723,
  title  = {On some extensions of Morley's trisector theorem},
  author = {Nikos Dergiades and Tran Quang Hung},
  journal= {arXiv preprint arXiv:2005.08723},
  year   = {2020}
}

Comments

8 pages, 7 figures

R2 v1 2026-06-23T15:37:39.449Z