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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