Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion (CROSBI ID 573678)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Jurkin, Ema ; Kovačević, Nikolina
engleski
Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion
The presentation is an extension of [N. Kovačević, V. Szirovicza, Inversion in Minkowskischer Geometrie. Math. Pann. 21/1 (2010), 89-113.] where the inversions in a pseudo-Euclidean plane with an equiform conic as the fundamental conic and a pole at its center or at an isotropic point have been studied. The type of circularity for the curves has also been introduced. We show that by using these transformations the cubics of all types of circularity can be constructed as images of conics. Unfortunately, the same does not hold for the quartics.
pseudo-Euclidean plane; inversion; circular curve; conic; cubic; quartic
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Podaci o prilogu
2011.
objavljeno
Podaci o matičnoj publikaciji
Abstracts - Conference on Geometry - Theory and Applications, Vorau 2011
Podaci o skupu
Conference on Geometry-Theory and Applications
predavanje
20.06.2011-24.06.2011
Vorau, Austrija