folium

American  

[foh-lee-uhm] / ˈfoʊ li əm /

noun

plural

folia

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 /

plural

folia

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

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

Graph the tangent line along with the folium.

From Textbooks • Mar. 30, 2016

The plants most limited were Papaveracea, Aconitum folium aconitoideum, Saxif. reniformis, Primula purpuria, Euphorbia radians, Rhododendron cereum, mentioned above, and another at 9,800 feet with similar leaves, but normal flowers, Abelia, Cerasus, Trillii sp.,

From Journals of Travels in Assam, Burma, Bhootan, Afghanistan and the Neighbouring Countries by Griffith, William

Bis denum Rutæ folium, salis et breve granum, Juglandesque duas, totidem cum corpore ficus; Hæc oriente die, parco conspersa Lycæo, Sumebat, metuens dederat quæ pocula mater.

From Curiosities of Medical Experience by Millingen, J. G. (John Gideon)

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

From Expedition into Central Australia by Sturt, Charles