Witch of Agnesi
x = tan t
y = cos2 t
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Cartesian Equation : |
y(x2 + a2) = a3 |
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Parametrical Equation : |
x = tan t , y = cos2 t |
References
R.C. Yates, Curves and Their Properties, p. 237-238.
T. H. Eagles, M.A. Constructive Geometry of Plane Curves, pp. 313-314.
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 90-92.
2d Curves : http://www.2dcurves.com/cubic/cubicr.html
Math World : http://mathworld.wolfram.com/WitchofAgnesi.html
Jen-Chung Chuan : http://steiner.math.nthu.edu.tw/ne01/tjy/dynamic/contants/FamousCurves-e.html
Famous Curves Index : http://www-gap.dcs.st-and.ac.uk/~history/Curves/Witch.html