Constructive curves in non-Euclidean planes

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.

arXiv comment21 pages 7 figures. arXiv admin note: text overlap with arXiv:1504.06450 by other authors