# Curves

### Kappa Curve

Cartesian equation:
$y^{2}(x^{2} + y^{2}) = a^{2}x^{2}$

### Description

The kappa curve is also called Gutschoven's curve. It was first studied by G. van Gutschoven around 1662.

The curve was studied by Newton and, some years later, by Johann Bernoulli.

### Associated Curves

Definitions of the Associated curves