A Steinmetz curve is a curve of intersection of two perpendicularly placed cylinders of radii 
and 
comprising a Steinmetz solid.
If the vertical cylinder has radius 
and the horizontal cylinder radius 
, then the Steinmetz curves are given by the parametric equations
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
(Gray 1997, p. 204).
