From Wikipedia, the free encyclopedia
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:
.
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.
[1]
The surface of revolution is the
nodoid
constant mean curvature surface.
References
- ^
a
b John Oprea, Differential Geometry and its Applications, MAA 2007. pp. 147–148