English

The bridge between Desargues' and Pappus' theorems

History and Overview 2023-05-17 v1

Abstract

In this paper, we investigate the configuration theorems of Desargues and Pappus in a synthetic geometric way. We provide a bridge between the two configurations with a third one that can be considered a specification for both. We do not use the theory of collineations or the analytic description of the plane over a ternary ring.

Keywords

Cite

@article{arxiv.2305.08859,
  title  = {The bridge between Desargues' and Pappus' theorems},
  author = {Ákos G. Horváth},
  journal= {arXiv preprint arXiv:2305.08859},
  year   = {2023}
}

Comments

10 pages,10 figures

R2 v1 2026-06-28T10:35:02.718Z