8 citations · 10 across the 15 of their papers we have counts for
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math.MG2016
Constructive curves in non-Euclidean planes
Ákos G. Horváth
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…
math.MG2016
On the non-Paschian ordered planes
Ákos G. Horváth
We give a non-Paschian plane based on the property of betweenness which cannot be derived from an ordering of the points of a line. In this model there is no possibility to define…
math.MG2016
On the volume growth of the hyperbolic regular -simplex
Ákos G. Horváth
In this paper we give lower and upper bounds for the volume growth of a regular hyperbolic simplex, namely for the ratio of the -dimensional volume of a regular simplex and the…