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KoG, Vol. 14. No. 14., 2010.

Original scientific paper

Snails in Hyperbolic Plane

Ana Sliepčević ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Ema Jurkin orcid id orcid.org/0000-0002-8658-5446 ; Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Zagreb, Croatia

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Abstract

The properties of the limacon of Pascal in the Euclidean plane are well known. The aim of this paper is to obtain the curves in the hyperbolic plane having the similar properties. That curves are named hyperbolic snails and defined as the circle pedal curves.
It is shown that all of them are circular quartics, while
some of them are entirely circular.

Keywords

limacon of Pascal; hyperbolic plane; entirely circular 4-order curves

Hrčak ID:

62861

URI

https://hrcak.srce.hr/62861

Publication date:

29.12.2010.

Article data in other languages: croatian

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