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The equation of the folium of Descartes is x3 + y3 = 3axy.


n. pl. fo·li·a (-lē-ə)
1. Geology A thin, leaflike layer or stratum occurring especially in metamorphic rock.
2. Mathematics A plane cubic curve having a single loop, a node, and two ends asymptotic to the same line.

[Latin, leaf; see bhel- in Indo-European roots.]


n, pl -lia (-lɪə)
1. (Mathematics) a plane geometrical curve consisting of a loop whose two ends, intersecting at a node, are asymptotic to the same line. Standard equation: x3 + y3=3axy where x=y+a is the equation of the line
2. (Geological Science) any thin leaflike layer, esp of some metamorphic rocks
[C19: from Latin, literally: leaf]


(ˈfoʊ li əm)

n., pl. -li•a (-li ə)
1. a thin leaflike stratum or layer.
2. Geom. part of a curve terminated at both ends by the same node. Equation: x3 + y3= 3 axy.
[1840–50; < New Latin, Latin: literally, a leaf]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.folium - a thin layer or stratum of (especially metamorphic) rock
geological formation, formation - (geology) the geological features of the earth