Parametric equation (source code)

= Parametric equation
{wiki}

A <parametric equation> expresses coordinates as <functions> of one or more independent parameters. For example, $x=\cos t$, $y=\sin t$ describes a <circle>; multiple parameters describe surfaces. A <smooth curve> is a differentiable single-parameter realization. A <reparametrization> changes the parameter without changing the geometric image.