A

David

Darling

trident of Newton

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 = cx3 + dx2 + ex + f