engleski

Snails in the Hyperbolic Plane

This work has two start points. The first is a curve known as the limacon of Pascal and the second is the classification of the entirely circular curves of fourth order in the hyperbolic plane. The properties of the limacon of Pascal in the Euclidean plane are well known. Our aim is to obtain curves in the hyperbolic plane that have similar properties. That curves we have named hyperbolic snails and defined as circle pedal curves. It is shown that only some of them are entirely circular, but all of them are at least bicircular.

limacon of Pascal; hyperbolic plane; entirely circular 4-order curves

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