Harmonic curves and the beauty of Projective Geometry
Jos\'e Luis Abreu, Javier Bracho
TL;DR
This paper introduces harmonic curves within projective geometry, emphasizing a synthetic and visual approach, and presents new results, proofs, and reformulations to deepen understanding of the subject.
Contribution
It offers a novel, intuitive presentation of projective geometry centered on harmonicity, including new results and reformulated axioms.
Findings
Unpublished proofs of classic theorems
New results on harmonic curves
Reformulation of projective geometry axioms
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 This presentation includes new results, unpublished proofs of some classic theorems and a slight reformulation of its axiomatics.
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Taxonomy
TopicsMathematics and Applications · Algebraic Geometry and Number Theory · Computational Geometry and Mesh Generation