Osculating Circle of the 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 |
Reference :
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 124-126.
See Also :
Related Page :
from MathWorld : http://mathworld.wolfram.com/KappaCurve.html
Famous Curve Index : http://www-groups.dcs.st-and.ac.uk/~history/Curves/Kappa.html