folium

American  

[foh-lee-uhm] / ˈfoʊ li əm /

noun

folia plural

1. a thin leaflike stratum or layer; a lamella.

2. Geometry. a loop; part of a curve terminated at both ends by the same node. Equation: x 3 + y 3 = 3 axy.

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folium British  

/ ˈfəʊlɪəm /

noun

1. a plane geometrical curve consisting of a loop whose two ends, intersecting at a node, are asymptotic to the same line. Standard equation: x ³ + y ³=3a xy where x = y +a is the equation of the line

2. any thin leaflike layer, esp of some metamorphic rocks

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folium Scientific  

/ fō′lē-əm /

folia plural

1. A thin, leaflike layer or stratum occurring especially in metamorphic rock.

2. A plane cubic curve having a single loop, a node, and two ends asymptotic to the same line.

3. Also called folium of Descartes

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Other Word Forms

Noun Inflected Forms

• folia
  plural

Etymology

Origin of folium

1840–50; < New Latin, Latin: literally, a leaf

Example Sentences

Many plane curves in mathematics are named after the people who first investigated them, like the folium of Descartes or the spiral of Archimedes.

From Textbooks • Mar. 30, 2016

Fibres from white core of folium ending in molecular layer in connexion with the dendrites of the cells of Purkinje.

From Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 4 "Bradford, William" to "Brequigny, Louis" by Various

One suggestion, based on a supposed similar use of Fr. fleuret, literally a “little flower,” for the weapon, is that foil means a leaf, and must be referred in origin to Lat. folium.

From Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 5 "Fleury, Claude" to "Foraker" by Various