# trident of Newton

The trident of Newton is a curve investigated and named 'trident' by Isaac Newton as part of his systematic study of cubic
equations. René Descartes also studied
it and it is sometimes called the **parabola of Descartes**,
although it isn't a parabola. It has the Cartesian equation

*xy* = *cx*^{3} + *dx*^{2} + *ex* + *f*