Point (geometry)

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Revision as of 21:51, 1 May 2007 by imported>Catherine Woodgold (A point has position. Some statements are not true in some other geometries. etc.)
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A point is a mathematical object in geometry which has a position but no length or breadth or depth. A point is made up of no other parts. The extremities of a line segment are points. In Euclidean geometry: A line is made up of an infinite number of points. Any line can be completely defined by two distinct points. Any plane can be completely defined by three distinct points that are not all part of the same line. Any two lines that lay on a single plane and are not parallel will intersect at a single point. Any three planes such that no plane is parallel to either of the other two will intersect at a single point.