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.
The differential equation of the curve is:
Its parametric equation is:
where is the elliptic modulus and is the incomplete [elliptic integral of the second kind] and sn, cn and dn are Jacobi's elliptic functions.
The surface of revolution is the nodoid constant mean curvature surface.