Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion (CROSBI ID 174295)
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Kovačević, Nikolina ; Jurkin, Ema
engleski
Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion
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.
pseudo-Euclidean plane; inversion; circular curve; conic; cubic; quartic
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