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What is a quadrangle?

What is a quadrangle? Here are some definitions.

Noun
  1. (geometry) A geometric shape with four angles and four straight sides; a four-sided polygon.
  2. A courtyard which is quadrangular.
  3. The buildings forming the border of such a courtyard.
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Examples
The younger two were allowed into the inner quadrangle so that we could all be photographed together afterwards.
They had just passed into the central quadrangle when young Brown returned at a run.
The small complex now forms a quadrangle that celebrates the gallery as the treasure it is.
Oak Day is held in the central quadrangle and marks their royal founder's birthday.
The Beckham convoy pulled up at the grand entrance, usually reserved for royalty and visiting heads of state, inside the palace quadrangle.
The L-shaped administration building and annex, along with the library, form Xavier's original campus quadrangle.

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