Different definitions of conic sections in hyperbolic geometry
Metric Geometry
2018-04-11 v2
Abstract
In classical Euclidean geometry, there are several equivalent definitions of conic sections. We show that in the hyperbolic plane, the analogues of these same definitions still make sense, but are no longer equivalent, and we discuss the relationships among them.
Keywords
Cite
@article{arxiv.1603.09285,
title = {Different definitions of conic sections in hyperbolic geometry},
author = {Patrick Chao and Jonathan Rosenberg},
journal= {arXiv preprint arXiv:1603.09285},
year = {2018}
}
Comments
15 pages, 8 figures