a plane figure having four angles and four sides, as a square.
a square or quadrangular space or court that is surrounded by a building or buildings, as on a college campus.
the building or buildings around such a space or court.
the area shown on one of the standard topographic map sheets published by the U.S. Geological Survey: approximately 17 miles (27 km) north to south and from 11 to 15 miles (17 to 24 km) east to west.

1400–50; late Middle English < Late Latin quadrangulum, noun use of neuter of Latin quadrangulus, quadriangulus four-cornered. See quadr-, angle

quadrangled, adjective
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
quadrangle (ˈkwɒdˌræŋɡəl)
1.  geometry a plane figure consisting of four points connected by four lines. In a complete quadrangle, six lines connect all pairs of points
2.  Often shortened to: quad a rectangular courtyard, esp one having buildings on all four sides
3.  the building surrounding such a courtyard
[C15: from Late Latin quadrangulum figure having four corners]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

c.1430, from O.Fr. quadrangle (13c.), from L.L. quadrangulum "four-sided figure," prop. neut. of L. adj. quadrangulus "having four quarters," from L. quattuor "four" (see four) + angulus "angle." The shortened form quad for "quadrangle of a college," is first recorded 1820 in Oxford slang.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The university is organizing a walking meditation on the quadrangle during that half hour.
The architects organized the complex around a double-height, skylight-covered quadrangle.
As the romantic quadrangle plays itself out in chases and tugs of war, the four end up partly undressed.
Laboriously lettered signs welcome visitors into the quadrangle where a host of animated figures surround them on all sides.
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