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Constructive curves in non-Euclidean planes

2016/10/03 by Horváth, Ákos G.
#46B20 #51M05 #52A21 #53A17 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1610.00473

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.

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