Serpentine Curve
x 2y + a2y - bx = 0
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Cartesian Equation : |
x 2y + a2y - bx = 0 |
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Parametric Equation : |
x = a cot t , y = b sin t cos t |
References
J. Dennis Lawrence. A catalog of special plane curves, pp. 111-112.
2d Curves : http://www.2dcurves.com/cubic/cubicse.html
Math World : http://mathworld.wolfram.com/SerpentineCurve.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/Serpentine.html