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Harmonic curves and the beauty of Projective Geometry

Authors :
Abreu, José Luis
Bracho, Javier
Publication Year :
2024

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 This presentation includes new results, unpublished proofs of some classic theorems and a slight reformulation of its axiomatics.<br />Comment: The 11 figures are dynamic and can be viewed at: https://arquimedes.matem.unam.mx/harmonic curves/scenes.html

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2410.16667
Document Type :
Working Paper