Constructive curves in non-Euclidean planes
Metric Geometry
2016-11-17 v2
Abstract
In this paper we overview the theory of conics and roulettes in four non-Euclidean planes. We collect the literature about these classical concepts, from the eighteenth century to the present, including papers available only on arXiv. The comparison of the four non-Euclidean planes, in terms of the known results on conics and roulettes, reflects only the very subjective view of the author.
Cite
@article{arxiv.1610.00473,
title = {Constructive curves in non-Euclidean planes},
author = {Ákos G. Horváth},
journal= {arXiv preprint arXiv:1610.00473},
year = {2016}
}
Comments
21 pages 7 figures. arXiv admin note: text overlap with arXiv:1504.06450 by other authors