njemački

Die projektive Erzeugung der vollstandig zirkularen Kurven 3. Ordnung in der isotropen Ebene

Under the adequate selection of settings elements the product of projectivity between the pencil of circles and the pencil of lines is the entirely circular cubic. The type of generated cubic is determined by the type of the pencil of circles: a touching pencil generates a divergent parabola, an osculation pencil generates a cubic parabola and a hiperosculation pencil generates a tridens curve. It is given a normal form with respect to the group B3 of isotropic plane. This paper also contains a construction for each of these curves at the finit model of isotropic plane.

Geometrie; Zirkulare Kubiken; Isotrope Ebene

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