Osculating Circle of Kampyle of Eudoxus
r = sec 2 t
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Cartesian equation : |
x4=a(x2+y2) |
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Parametric equation : |
x = a sec t , y = a tan t sec t |
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Polar equation : |
r = sec 2 t |
During Construction :
r = sec 2 t
r' = 2 sec2t tan t
r" = 4 sec2 t tan2 t + 2sec4t
v = ( r ', r )
a = ( r"- r , 2r' )
See Also :
Related Page :
from MathWorld : http://mathworld.wolfram.com/KampyleofEudoxus.html
Famous Curve Index : http://www-groups.dcs.st-and.ac.uk/~history/Curves/Kampyle.html