Isoptic curves to parabolas in the hyperbolic plane

Csima, Géza and Szirmai, Jenő (2012) Isoptic curves to parabolas in the hyperbolic plane. Pollack Periodica, 7 (Supple). pp. 55-64. ISSN 1788-1994

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Abstract

In this paper we study the isoptic curves on the hyperbolic plane. This topic is widely investigated in the Euclidean geometry, but in the hyperbolic geometry there are only a few result. In [13] we have developed a method to investigate the isoptic curves in the hyperbolic geometry and we have applied it to line segments and ellipses.Our goal in this work is to determine the isoptic curves of parabolas in the hyperbolic plane by the above procedure. We use for the computations the classical Beltrami-Cayley-Klein model which is based on the projective interpretation of the hyperbolic geometry and in this manner the isoptic curves can be visualized on the Euclidean screen of computer.

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