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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

Katić Žlepalo, Mirela ; Jurkin, Ema Circular cubics and quartics obtained as pedal curves of conics in pseudo-Euclidean plane // The 15th International Conference on Geometry and Graphics (ICGG 2012) - Proceedings / Zsombor-Murray, Paul ; Sprecher, Aaron ; Angeles, Bruno (ur.). Montréal, 2012. str. 341-347

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

Povezanost rada

Matematika