# Curves

### Plateau Curves

Parametric Cartesian equation:
$x = a \sin(m + n)t/\sin(m - n)t, y = 2a \sin(mt)\sin(nt)/\sin(m - n)t$

### Description

This curve was studied by the Belgium physicist and mathematician Joseph Plateau.

If $m = 2n$ the Plateau curves become a circle, centre (1, 0) and radius 2.

The particular curves drawn above are with the parameters $m = 5, n = 3$.

### Associated Curves

Definitions of the Associated curves