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The Columbia Encyclopedia, Sixth Edition | 2008 | The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information) Copyright

plane in mathematics, flat surface of infinite extent but no thickness. An example of a plane, or more exactly of a bounded portion of a plane, is the surface forming one face, or side, of a cube. A plane is determined, or defined, by any of the following: (1) three points not in a straight line; (2) a straight line and a point not on the line; (3) two intersecting lines; or (4) two parallel lines. Two straight lines in space do not usually lie in the same plane. For a given plane in space, a line can either lie outside and parallel to it, intersect the plane in a single point, or lie entirely in the plane; if more than one point of a straight line lies in the plane, then the entire line must lie in the plane.

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plane

The Concise Oxford Dictionary of English Etymology | 1996 | | © The Concise Oxford Dictionary of English Etymology 1996, originally published by Oxford University Press 1996. (Hide copyright information) Copyright

plane4 level, flat. XVII. refash. of PLAIN adj. after F. plan, fem. plane.

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T. F. HOAD. "plane." The Concise Oxford Dictionary of English Etymology. 1996. Encyclopedia.com. 21 Dec. 2009 <http://www.encyclopedia.com>.

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A Dictionary of Architecture and Landscape Architecture | 2000 | | © A Dictionary of Architecture and Landscape Architecture 2000, originally published by Oxford University Press 2000. (Hide copyright information) Copyright

plane. Flat surface, e.g. a wall or a floor.

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JAMES STEVENS CURL. "plane." A Dictionary of Architecture and Landscape Architecture. Oxford University Press. 2000. Encyclopedia.com. 21 Dec. 2009 <http://www.encyclopedia.com>.

JAMES STEVENS CURL. "plane." A Dictionary of Architecture and Landscape Architecture. Oxford University Press. 2000. Encyclopedia.com. (December 21, 2009). http://www.encyclopedia.com/doc/1O1-plane.html

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