Tangent of the Serpentine Curve
|
x = a cot |
|
y = b sin t cos t |
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Cartesian equation : |
y = (abx) / (x2+a2) |
|
Parametric equation : |
x = a cot , y = b sin t cos t |
Reference :
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 111-112.
See Also :
Related Page :
from MathWorld : http://mathworld.wolfram.com/SerpentineCurve.html
Famous Curve Index : http://www-groups.dcs.st-and.ac.uk/~history/Curves/Serpentine.html