trident of Newton


last updated: 2004-05-01

This was the 66th curve in Newton's classification of cubic curves. The name trident is from the hand of Newton. The curve cuts the axis in one or three points.

Two subsets of this curve can be mentioned:
Descartes studied the trident 1) of Descartes,

which has also been given the name parabola of Descartes (although it is not a parabola).

The other subset is the (ordinary) trident 1):


1) a three-pronged forky form