Curve studied by Diocles, 180 BC; Fermat; Huygens. From the Greek Kissos: ivy, probably in reference to the nervures... Diocles (2nd century BC): Greek mathematician. |
Polar equation: . Cartesian equation: (the curve is studied here). Rational circular cubic with a cuspidal point. Rational Cartesian parametrization: , i.e. (where t = tanq). Cartesian tangential angle: . Curvilinear abscissa: , . Radius of curvature: . Area between the curve and its asymptote: . |
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