English

Projective Line Revisited

General Mathematics 2022-05-11 v7

Abstract

This article provides a new perspective on the geometry of a projective line, which helps clarify and illuminate some classical results about projective plane. As part of the same train of ideas, the article also provides a proof of the nine-point circle theorem valid for any affine plane over any field of characteristic different from 2.

Keywords

Cite

@article{arxiv.1804.00639,
  title  = {Projective Line Revisited},
  author = {Nicholas Phat Nguyen},
  journal= {arXiv preprint arXiv:1804.00639},
  year   = {2022}
}

Comments

15 pages (including references). Updated to include some typo corrections

R2 v1 2026-06-23T01:11:50.982Z