# Clélie

(Redirected from Clélies)
${\displaystyle x=a\sin(m\theta )\cos(\theta )}$
${\displaystyle y=a\sin(m\theta )\sin(\theta )}$
${\displaystyle z=a\cos(m\theta )}$
A curve of this type is confined to the surface of a sphere of radius ${\displaystyle a}$,[2] as is obvious from the parametric equations for the surface of a sphere. When ${\displaystyle m=1}$, this is Viviani's curve.