Circular cubics and quartics obtained as pedal curves of conics in pseudo-Euclidean plane (CROSBI ID 588720)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Katić Žlepalo, Mirela ; Jurkin, Ema
engleski
Circular cubics and quartics obtained as pedal curves of conics in pseudo-Euclidean plane
We are analyzing pedal curves of conics in pseudo-euclidean plane. The aim of this paper is to determine the conditions that the generating conic has to fulfill in order to obtain a circular cubic or quartic of a certain type. We intend to show that whenever a quartic is obtained as a pedal curve of a conic, it can only be with the type of circularity (2, 2) while a cubic can be either with the type (2, 1) or (1, 1). The emphasis will be put on the curves with no analogue in the Euclidean plane.
pseudo-Euclidean plane; pedal curve; circular curve; conic; cubic; quartic
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Podaci o prilogu
341-347.
2012.
objavljeno
Podaci o matičnoj publikaciji
The 15th International Conference on Geometry and Graphics (ICGG 2012) - Proceedings
Zsombor-Murray, Paul ; Sprecher, Aaron ; Angeles, Bruno
Montréal:
978-0-7717-0717-9
Podaci o skupu
The 15th International Conference on Geometry and Graphics
predavanje
01.08.2012-05.08.2012
Montréal, Kanada