A Six-Point Ceva-Menelaus Theorem

2014/03/03 by Blue McConnell, B. D. S. "Blue" McConnell, McConnell, B. D. S. "Blue"
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.MG

paper · pdf · doi:10.48550/arxiv.1403.0478

5 pages, 8 figures

arxiv created 2014/03/03 · openalex publication_date 2014/03/03 · arxiv updated 2014/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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