English

A Six-Point Ceva-Menelaus Theorem

Metric Geometry 2014-03-04 v1

Abstract

We provide a companion to the recent Benyi-Curgus generalization of the well-known theorems of Ceva and Menelaus, so as to characterize both the collinearity of points and the concurrence of lines determined by six points on the edges of a triangle. A companion for the generalized area formula of Routh appears, as well.

Keywords

Cite

@article{arxiv.1403.0478,
  title  = {A Six-Point Ceva-Menelaus Theorem},
  author = {B. D. S. "Blue" McConnell},
  journal= {arXiv preprint arXiv:1403.0478},
  year   = {2014}
}

Comments

5 pages, 8 figures

R2 v1 2026-06-22T03:19:08.367Z