mathworld.wolfram.com

Folium -- from Wolfram MathWorld

  • ️Weisstein, Eric W.
Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld

The term folium means "leaf" in Latin and refers and refers to a plane curve having "leaf-shaped" rounded lobes. There are a number of different sorts of folia, including Kepler's folium, the folium of Descartes, Dürer folium, and the rose curves.

When used without qualification, the term "folium" commonly refers to Kepler's folium (Lawrence 1972, pp. 152-153; MacTutor).

The rose curve with parameter n is folium with n petals (for n odd) or 2n petals (for n even).

See also

Bifolium, Dürer folium, Epitrochoid, Fish Curve, Folium of Descartes, Kepler's Folium, Quadrifolium, Rose Curve, Trefoil Curve, Trifolium

Explore with Wolfram|Alpha

References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 152-153, 1972.MacTutor History of Mathematics Archive. "Folium." http://www-groups.dcs.st-and.ac.uk/~history/Curves/Folium.html.

Cite this as:

Weisstein, Eric W. "Folium." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Folium.html

Subject classifications