engleski

Projectively linked pencils of conics in pseudo-Euclidean and isotropic plane

A curve of order four can be obtained as a locus of the intersections of corresponding conics of projectively linked pencils of conics. The conditions that the pencils and the projectivity in the pseudo-Euclidean and isotropic plane have to fulfill in order to obtain a circular quartic of a certain type have already been determined analytically. In this paper we construct all types of entirely circular quartics.

pseudo-Euclidean plane; isotropic plane; entirely circular quartic; projectivity; pencils of conics

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