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LAMÉ CUBIC


Cartesian equation: .
In the frame OXY derived from Oxy by rotation of -p/4: .
Elliptic cubic.

The Lamé cubic is the Lamé curve.
It looks like the witch of Agnesi, but one is rational while the other one is not.
The equation in the frame OXY shows that it is a special case of cubic hyperbola.
 
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© Robert FERRÉOL  2017