Quadrilateral

Definition: Quadrilateral

Quadrilateral

Adjective

1. Having four sides.

Noun

1. A four-sided polygon.

Date "quadrilateral" was first used in popular English literature: sometime before 1642. (references)

Domain	Definition
Literature	Quadrilateral The four fortresses of Peschiera and Mantua on the Mincio, with Verona and Legnago on the Adigë. Now demolished. The Prussian Quadrilateral. The fortresses of Luxemburg, Coblentz, Sarrelouis, and Mayence. Source: Brewer's Dictionary.
Mathematics	A figure bounded by four straight lines. Source: European Union. (references)
Mining	A four-sided plane figure of any shape, having an area equal to the product of the diagonals multiplied by half the sine of the angle betweenthem. (references)
Source: compiled by the editor from various references; see credits.

In geometry, a quadrilateral is a polygon with four sides and four vertices. Quadrilaterals, and polygons in general, are broadly divided into two groups: convex and concave polygons. Convex quadrilaterals are further classified as follows:

Trapezoid or trapezium (Brit. Eng): one pair of opposite sides are parallel.
Trapezium (Amer. Eng.): no sides are parallel.
Isosceles trapezium (Brit. Eng.) or isosceles trapezoid (Amer. Eng.): two of the opposite sides are parallel, the two other sides are equal, and the two ends of each parallel side have equal angles. This implies that the diagonals have equal length.
Parallelogram: both pairs of opposite sides are parallel. This implies that opposite sides have equal length, and that opposite angles are equal.
Kite: two adjacent sides have equal length, the other two sides have equal length. This implies that one set of opposite angles is equal, and that diagonals are perpendicular.
Rhombus: four sides have equal length. This implies that opposite sides are parallel, opposite angles are equal, and the diagonals are perpendicular.
Rectangle: each angle is a right angle. This implies that opposite sides are parallel and have equal length, and the diagonals have equal length.
Square (regular quadrilateral): four sides have equal length, and each angle is a right angle. This implies that opposite sides are parallel, and the diagonals are both perpendicular and equal length.

Quadrilateral is also the name of a group of fortresses in Italy and of the southern part of Dobrudja, ceded by Romania to Bulgaria in the opening month of World War II (see Romania during World War II).

Synonyms: Quadrilateral

Synonyms: four-sided (adj), quadrangle (n), tetragon (n). (additional references)

Context	Synonyms within Context (source: adapted from Roget's Thesaurus).
Angularity	Triangle, trigon, wedge; rectangle, square, lozenge, diamond; rhomb, rhombus; quadrangle, quadrilateral; parallelogram; quadrature; polygon, pentagon, hexagon, heptagon, octagon, oxygon, decagon.
	Fusiform, wedge-shaped, cuneiform; cuneate, multangular, oxygonal; triangular, trigonal, trilateral; quadrangular, quadrilateral; foursquare; rectangular, square, multilateral; polygonal; Noun: cubical, rhomboid, rhomboidal, pyramidal.
Laterality	Many sided; multilateral, bilateral, trilateral, quadrilateral.
Source: adapted from Roget's Thesaurus.

Crosswords: Quadrilateral

English words defined with "quadrilateral": Corvus, crow ♦ Deltohedron ♦ gaff, gaff-headed sail, gaffsail ♦ parallelogram ♦ Quadrilateralness ♦ serratus posterior inferior, serratus posterior superior, shear ♦ tetragonal, Tetragonal trisoctahedron, trapezium, trapezoid. (references)

Specialty definitions using "quadrilateral": Ichthyosis, Lamellar ♦ triakistetrahedron, trigonal tristetrahedron ♦ weiss quadrilateral. (references)

Non-English Usage: "Quadrilateral" is also a word in the following language with the English translation in parentheses.

Portuguese (quadrilateral).

Domain	Title
Books	Dynkin Graphs and Quadrilateral Singularities (reference) (more book examples)
Source: compiled by the editor from various references; see credits.

"Quadrilateral" is generally used as a noun (singular) -- approximately 73.33% of the time. "Quadrilateral" is used about 15 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted)

Parts of Speech	Percent	Usage per 100 Million Words	Rank in English
Noun (singular)	73.33%	11	106,044
Adjective (general or positive)	26.67%	4	175,879
Total	100.00%	15	N/A

Expression using "quadrilateral": Complete quadrilateral. Additional references.
Source: compiled by the editor from various references; see credits.

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.

Language		Translations for "quadrilateral"; alternative meanings/domain in parentheses.
Albanian		katërkëndësh (four-cornered, quad, quadrangle, quadrangular, quadrate, tetragon, tetragonal, tetrahedron, trapezium). (various references)

Arabic		‏رباعي الأضلاع (quadrangle, tetragonal), ‏رباعي (fourfold, quadruple, quaternary). (various references)

Bulgarian		четириъгълник (quad, quadrangle, tetragon), четиристранен (quadrate). (various references)

Chinese		方 (direction, just, square), 四方形. (various references)

Czech		ètyřstranný (foursquare), ètyřboký, ètyřúhelník (quadrangle, tetragon). (various references)

Danish		firkant (square). (various references)

Dutch		vierhoek (quadrangle). (various references)

Farsi		مربوطبه چهارگوش , چهارگوش (Quadrangle, Quadrant), چهارضلعی . (various references)

Finnish		nelikulmio (quadrangle). (various references)

French		quadrilatère (quadrangle). (various references)

German		vierseitig (four sided, four-sided, quadripartite), Viereck (four-sided figure, quad, quadrangle, square). (various references)

Greek		τετράπλευρο (quadrangle). (various references)

Hungarian		négyszögletes idom, négyszög (quad, quadrangle, quadrant, Square, tetragon), négyoldalú. (various references)

Italian		quadrilatero (four sided, quad, quadrangle). (various references)

Japanese Kanji		四辺形 , 四�'形 (quadrangle, square). (various references)

Japanese Katakana		しかくけい (quadrangle, square), しかっけい (quadrangle, square), しへ�"けい. (various references)

Korean		사변형. (various references)

Manx		kiare-lhiatteean, kiare-lhiatteeagh (four-sided). (various references)

Pig Latin		adrilateralquay

Portuguese		quadrilátero (quadrangle, tetragon). (various references)

Romanian		patrulater (quadrangle, tetragon). (various references)

Russian		четырехсторонний (quadruple), четырехугольник (quadrangle, Square, tetragon). (various references)

Serbo-Croatian		četvorougli, četvorougao (foursquare, tetragon). (various references)

Spanish		cuadrilátero (boxing ring, prize ring, quad, quadrangle, ring). (various references)

Swedish		fyrsiding, fyrkantig (quadrangular, Square), fyrkant (square). (various references)

Thai		ที่มีสี่�"้าน, รูปสี่เหลี่ยม (tetragon). (various references)

Turkish		dörtkenarlı, dörtgen (quad, quadrangle, Square, tetragon), dört kenarlı şekil. (various references)

Ukrainian		чотирикутник (quad, quadrangle), чотирибічний. (various references)

Vietnamese		có bốn cạnh bốn bên. (various references)
Source: compiled by the editor from various translation references.

Derivations
	Words beginning with "quadrilateral": quadrilaterals. (additional references)
Misspellings
	"Quadrilateral" is suggested in spellcheckers for the following: quadralateral, quadrilat, quadrillage, quaerilateral, quzdrilateral. (additional references)
Source: compiled by the editor, based on several corpora (additional references).

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "a-a-a-d-e-i-l-l-q-r-r-t-u"
	-4 letters: quadrille.
	-5 letters: adularia, aquarial, arillate, arterial, lariated, liquated, quadrate, quarried, quartile, requital, ruralite, tailleur, ultrared.
	Words containing the letters "a-a-a-d-e-i-l-l-q-r-r-t-u"
	+1 letter: quadrilaterals.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Expression	Frequency per Day
quadrilateral	18
golden quadrilateral	5
area quadrilateral	5
quadrilateral wesleyan	4
inequality law quadrilateral	4
quadrilateral shape	3
definition quadrilateral	2
Source: compiled by the editor from various references; see credits.

Quadrilateral

Definition: Quadrilateral

Quadrilateral

Adjective

Noun

Specialty Definition: Quadrilateral

Specialty Definition: Quadrilateral

Synonyms: Quadrilateral

Synonyms within Context: Quadrilateral

Angularity

Laterality

Crosswords: Quadrilateral

Commercial Usage: Quadrilateral

Books

Usage Frequency: Quadrilateral

Expression: Quadrilateral

Frequency of Internet Keywords: Quadrilateral

Modern Translation: Quadrilateral

Albanian

Arabic

Bulgarian

Chinese

Czech

Danish

Dutch

Farsi

Finnish

French

German

Greek

Hungarian

Italian

Japanese Kanji

Japanese Katakana

Korean

Manx

Pig Latin

Portuguese

Romanian

Russian

Serbo-Croatian

Spanish

Swedish

Thai

Turkish

Ukrainian

Vietnamese

Derivations & Misspellings: Quadrilateral

Derivations

Misspellings

Anagrams: Quadrilateral

Scrabble® Enable2K-Verified Anagrams

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