Construct Kampyle of Eudoxus
|
Cartesian equation : |
x4=a(x2+y2) |
|
Parametric equation : |
x = a sec t , y = a tan t sec t |
|
Polar equation : |
r = sec 2 t |
Reference :
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 141-143.
http://www.math.hmc.edu/~gu/math142/mellon/curves_and_surfaces/curves/kampyle.html
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