Point (geometry)

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Revision as of 02:13, 15 August 2008 by imported>Miguel Adérito Trigueira (Added diagrams)
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Diagram of a point (in blue) called A (with its label in black)
Diagram of a point using an alternative "circle" notation

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.