Category:Folium of Descartes

This category contains results about Folium of Descartes.
Definitions specific to this category can be found in Definitions/Folium of Descartes.

Cartesian Form

The folium of Descartes is the locus of the equation:

$x^3 + y^3 - 3 a x y = 0$

Parametric Form

The folium of Descartes is the locus of the equation given in parametric form as:

$\begin {cases} x = \dfrac {3 a t} {1 + t^3} \\ y = \dfrac {3 a t^2} {1 + t^3} \end {cases}$