The Triangle Altitudes Theorem in Hyperbolic Plane Geometry
History and Overview
2019-12-30 v1 Metric Geometry
Abstract
We provide a new formulation and proof of the triangle altitudes theorem in hyperbolic plane geometry, together with an easily computed discriminant to distinguish between different basic configurations of the altitudes of such a triangle.
Cite
@article{arxiv.1912.11707,
title = {The Triangle Altitudes Theorem in Hyperbolic Plane Geometry},
author = {Nicholas Phat Nguyen},
journal= {arXiv preprint arXiv:1912.11707},
year = {2019}
}
Comments
15 pages. Keywords: Hyperbolic triangle, triangle altitude, hyperbolic plane. 2010 Mathematics Subject Classification: 51M10, 51M15