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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Etymology

Origin of folium

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

Example Sentences

Graph the tangent line along with the folium.

From Textbooks • Mar. 30, 2016

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

OHG. blat, G. blatt, and perh. to L. folium, Gr.

From Webster's Unabridged Dictionary (2nd 100 Pages) by Webster, Noah

Folia ramorum alterna, diametro unciali, trinervia; petiolo folium subaequanti, basi in stipulam subscariosam adnatam dilatato.

From Expedition into Central Australia by Sturt, Charles

Folia radicalia in specimine unico viso defuere; ramos subtendentia abbreviata, vagina aperta ipsum folium superante; floralia subspathiformia sed foliacea nec membranacea.

From Expedition into Central Australia by Sturt, Charles