Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion

izvorni znanstveni rad

izvorni znanstveni rad

Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2011
Časopis Mathematica Pannonica
Nadređena publikacija Mathematica Pannonica
Volumen 22
Svesčić 2
Stranice str. 199-218
ISSN 0865-2090
Status objavljeno

Sažetak

This paper is an extension of [4] 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 have shown that by using these transformations the rational cubics of all types of circularity can be constructed as images of conics. Unfortunately, the same does not hold for the quartics.

Ključne riječi

pseudo-Euclidean plane; inversion; circular curve; conic; cubic; quartic