Cartesian equation:
(x2 + y2)(y2 + x(x + a)) = 4axy2
Polar equation:
r = a cosθ (4sin2θ - 1)
Click below to see one of the Associated curves.
There are three special forms of the folium, the simple folium, the double folium and the trifolium. These correspond to the cases
The graph plotted above is the trifolium. There are separate entries for the simple folium and the double folium.
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The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Curves/Trifolium.html