The equation of the folium of Descartes is x3 + y3 = 3axy.
fo·li·um
(fō′lē-əm)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.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
folium
(ˈfəʊlɪəm)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]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
fo•li•um
(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]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
| Noun | 1. | folium - a thin layer or stratum of (especially metamorphic) rock geological formation, formation - (geology) the geological features of the earth |
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