English

Harmonic curves and the beauty of Projective Geometry

History and Overview 2024-10-23 v1

Abstract

The purpose of this paper is to present projective geometry in a synthetic, visual and intuitive style through the central notion of harmonicity which leads to harmonic curves. This presentation includes new results, unpublished proofs of some classic theorems and a slight reformulation of its axiomatics.

Keywords

Cite

@article{arxiv.2410.16667,
  title  = {Harmonic curves and the beauty of Projective Geometry},
  author = {José Luis Abreu and Javier Bracho},
  journal= {arXiv preprint arXiv:2410.16667},
  year   = {2024}
}

Comments

The 11 figures are dynamic and can be viewed at: https://arquimedes.matem.unam.mx/harmonic curves/scenes.html