Osculating Circle of the Lemniscate of Gerono
x = cos t , y = sin t cos t
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Cartesian equation : |
x4=a2(x2-y2) |
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Parametric equation : |
x = cos t , y = sin t cos t |
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Polar equation : |
r 2= sec4t cos2t |
Reference :
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 124-126.
See Also :
Related Page :
from MathWorld :http://mathworld.wolfram.com/EightCurve.html
Famous Curve Index : http://www-groups.dcs.st-and.ac.uk/~history/Curves/Eight.html