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Snails in Hyperbolic Plane

Ana Sliepčević ; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ema Jurkin orcid.org/0000-0002-8658-5446 ; Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska

Sažetak

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.

Ključne riječi

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

Hrčak ID:

62861

URI

https://hrcak.srce.hr/62861

Datum izdavanja:

29.12.2010.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.540 *