engleski

A Classification and Construction of Entirely Circular Cubics in the Hyperbolic Plane

If each intersection point of a third order curve with the absolute conic of the hyperbolic plane is a tangential point, this curve will be called an entirely circular cubic. According to this definition a rough classification of such curves is given into four main types and nine sub types. Some of them are constructed by a (1, 2) or (1, 1) mapping and the others are constructed by the generalized quadratic hyperbolic inversion. Thus we extend and complete Palman's paper [5] in a synthetic way.

Geometry; Hiperbolic Plane; Completely Circular Cubic

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