**Cartesian equation: **

*y*^{2}(*x*^{2} + *y*^{2}) = *a*^{2}*x*^{2}

**Polar equation: ** *r* = *a* cot(*θ*)

**Click below to see one of the Associated curves.**

Click THIS LINK to experiment interactively with this curve and its associated curves.

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.

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JOC/EFR/BS January 1997

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/Curves/Kappa.html