Folium \Fo"li*um\, n.; pl. E. {Foliums}, L. {Folia}. [L., a leaf.] 1. A leaf, esp. a thin leaf or plate. [1913 Webster] 2. (Geom.) A curve of the third order, consisting of two infinite branches, which have a common asymptote. The curve has a double point, and a leaf-shaped loop; whence the name. Its equation is x^{3} + y^{3} = axy. [1913 Webster] Folk