Nodary

In physics and geometry, the nodary is the curve that is traced by the focus of a hyperbola as it rolls without slipping along the axis, a roulette curve.

[1] The differential equation of the curve is:

is the incomplete elliptic integral of the second kind and sn, cn and dn are Jacobi's elliptic functions.

[1] The surface of revolution is the nodoid constant mean curvature surface.

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