Kappa Curve
r = cot t
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Cartesian Equation : |
y2(x2+y2) = a2x2 |
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Parametric Equation : |
x = a cos t cot t , y = a cos t |
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Polar Equation : |
r = cot t |
References
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 139-141.
2d Curves : http://www.2dcurves.com/quartic/quartick.html
Math World : http://mathworld.wolfram.com/KappaCurve.html
Jen-Chung Chuan : http://steiner.math.nthu.edu.tw/ne01/tjy/dynamic/contants/FamousCurves-e.html
Famous Curves Index : http://www-groups.dcs.st-and.ac.uk/~history/Curves/Kappa.html