Abstract
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.
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Sliepčević, A., Szirovicza, V. A classification and construction of entirely circular cubics in the hyperbolic plane. Acta Mathematica Hungarica 104, 185–202 (2004). https://doi.org/10.1023/B:AMHU.0000036282.85233.d6
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DOI: https://doi.org/10.1023/B:AMHU.0000036282.85233.d6