KoG, Vol. 14. No. 14., 2010.
Izvorni znanstveni članak
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
Datum izdavanja:
29.12.2010.
Posjeta: 2.052 *