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-  2010 

Snails in Hyperbolic Plane

Keywords: limacon of Pascal, hyperbolic plane, entirely circular 4-order curves

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Abstract:

Sa?etak The properties of the limacon of Pascal in the Euclidean plane are well known. The aim of this paper is to obtain the curves in the hyperbolic plane having the similar properties. That curves are named hyperbolic snails and defined as the circle pedal curves. It is shown that all of them are circular quartics, while some of them are entirely circular

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