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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