folium of Descartes

cubic

last updated: 2003-08-01

 

The curve is is symmetric with respect to the line y = x, being a direct result of the polar equation:
Descartes was the first to examine this curve, in 1638. He (incorrectly) believed that the shape was repeated in each quadrant.
Roberval gave the curve the name of the fleur de jasmin, also the result of a incorrect understanding of the shape of the curve. This name was later replaced by the curve's existing name.
In French the curve is sometimes called the 'noeud de ruban' 1).

 



notes

1) that means: knot of ribbons. Is this true, isn't here a confusion with the strophoid?