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Longman Dictionary of Contemporary English
quadrilateral
noun
EXAMPLES FROM CORPUS
▪ For emotional resonance, flags are about as potent as a quadrilateral of cloth can be.
▪ The cluster is made up of a small quadrilateral which is distinctive enough, and is very characteristic with × 20.
▪ The cyclic quadrilateral so formed has an important property; its opposite angles add to 180°.
The Collaborative International Dictionary
Quadrilateral

Quadrilateral \Quad`ri*lat"er*al\, n.

  1. (Geom.) A plane figure having four sides, and consequently four angles; a quadrangular figure; any figure formed by four lines.

  2. An area defended by four fortresses supporting each other; as, the Venetian quadrilateral, comprising Mantua, Peschiera, Verona, and Legnano.

    Complete quadrilateral (Geom.), the figure made up of the six straight lines that can be drawn through four points, A, B, C, I, the lines being supposed to be produced indefinitely.

Quadrilateral

Quadrilateral \Quad`ri*lat"er*al\, a. [L. quadrilaterus: cf. F. quadrilat[`e]re, quadrilat['e]ral. See Quadri- and Lateral.] Having four sides, and consequently four angles; quadrangular.

Douglas Harper's Etymology Dictionary
quadrilateral

"four-sided," 1640s, with -al (1) + Latin quadrilaterus, from quadri- "four" (see quadri-) + latus (genitive lateris) "side" (see oblate (n.)). As an adjective from 1650s. Related: Quadrilaterally.

Wiktionary
quadrilateral

a. having four sides. n. 1 A polygon with four sides. 2 An area defended by four fortresses supporting each other.

WordNet
quadrilateral
  1. adj. having four sides [syn: four-sided]

  2. n. a four-sided polygon [syn: quadrangle, tetragon]

Wikipedia
Quadrilateral

In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.

The origin of the word "quadrilateral" is the two Latin words quadri, a variant of four, and latus, meaning "side".

Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.

The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is


A + ∠B + ∠C + ∠D = 360.

This is a special case of the n-gon interior angle sum formula (n − 2) × 180°.

All non-self-crossing quadrilaterals tile the plane by repeated rotation around the midpoints of their edges.

Quadrilateral (disambiguation)

A quadrilateral, in geometry, is a polygon with 4 sides.

Quadrilateral may also refer to:

  • Complete quadrilateral, in projective geometry, a configuration with 4 lines and 6 points
  • Chicago-Lambeth Quadrilateral, a four-point statement of fundamental doctrine, in the Anglican Communion
  • Wesleyan Quadrilateral, the four sources of doctrine in the Methodist Church
  • Golden Quadrilateral, a network of highways in India
  • Quadrilateral Security Dialogue, a strategic alliance of the United States, Japan, Australia and India within Asia.
  • Quadrilateral Treaty, a pact between the Argentine provinces of Buenos Aires, Santa Fe, Entre Ríos and Corrientes, signed on 25 January 1822.
  • Quadrilatero, in the Revolutions of 1848, in the Italian states - an area within the group of fortresses at Mantua, Verona, Peschiera and Legnago
  • In the Battle of the Somme in World War I, the Quadrilateral was a German redoubt near Ginchy

Usage examples of "quadrilateral".

If a campus was a green quadrilateral described by hulking, hederated Gothics, then this was a campus.

The broadest part of Moor Fields, directly before Bedlam, had been outlined with a quadrilateral, and striped with a St.

It was a quadrilateral of the kind the Greeks termed a trapezium, having no side parallel to any other.

The square proved not to be a square, more a deformed cyclic quadrilateral, but it implied all the necessary elements of a public urban space.

Every scrap of land in the town was owned by the Church, and the Holy Surveyors of Rome had (or so Jack phant’sied) come out here and planted Trinitarian transits on the land that had been miraculously reclaimed from Lake Texcoco and hung holy plumb-bobs made of saints’ skulls and stretched cords of spun angels’ hair, driven crucifixes into the ground at strategickal Vertices, and platted the land into quadrilaterals, each one butted snugly against the next.

There were arcs, circles, quadrilaterals of annihilation, growing always, that sank downwards through the basic stone.