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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 503=16, 2009.

Original scientific paper

Entirely circular curves of 4th-order produced by quadratic inversion in the hyperbolic plane

Vlasta Szirovicza ; Faculty of Civil Engineering, University of Zagreb, 10 000 Zagreb, Kaciceva 26, Croatia

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Abstract

This paper gives an overview of all the entirely circular curves of the the 4th -order which can be constructed by the quadratic H-inversion defined on Cayley-Klein model of hyperbolic plane. It is shown that the generating conic can be only H-parabola and H-circle.

Keywords

hyperbolic plane; H-inversion; entirely circular curves of 4th -order

Hrčak ID:

110225

URI

https://hrcak.srce.hr/110225

Publication date:

1.7.2009.

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