Difference between revisions of "Plane"
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In [[mathematics]], a '''plane''' is any flat, two-[[dimensional]] [[surface]]. A plane is the two dimensional analogue of a [http://en.wikipedia.org/wiki/Point_(geometry) point] (zero-dimensions), a [http://en.wikipedia.org/wiki/Line_(geometry) line] (one-dimension) and a [[space]] (three-dimensions). Planes can arise as subspaces of some higher dimensional space, as with the walls of a room, or they may enjoy an independent [[existence]] in their own right, as in the setting of [http://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry]. | In [[mathematics]], a '''plane''' is any flat, two-[[dimensional]] [[surface]]. A plane is the two dimensional analogue of a [http://en.wikipedia.org/wiki/Point_(geometry) point] (zero-dimensions), a [http://en.wikipedia.org/wiki/Line_(geometry) line] (one-dimension) and a [[space]] (three-dimensions). Planes can arise as subspaces of some higher dimensional space, as with the walls of a room, or they may enjoy an independent [[existence]] in their own right, as in the setting of [http://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry]. | ||
| − | When [[working]] in two-dimensional Euclidean space, the definite article is used, the plane, to refer to the whole [[space]]. Many [[fundamental]] tasks in [http://en.wikipedia.org/wiki/Geometry geometry], [http://en.wikipedia.org/wiki/Trigonometry trigonometry], and graphing are performed in two-dimensional space, or in other [[words]], in the plane. A lot of mathematics can be and has been performed in the plane, notably in the areas of geometry, trigonometry, graph theory and graphing. | + | |
| + | When [[working]] in two-dimensional Euclidean space, the definite article is used, the plane, to refer to the whole [[space]]. Many [[fundamental]] tasks in [http://en.wikipedia.org/wiki/Geometry geometry], [http://en.wikipedia.org/wiki/Trigonometry trigonometry], and graphing are performed in two-dimensional space, or in other [[words]], in the plane. A lot of mathematics can be and has been performed in the plane, notably in the areas of geometry, trigonometry, graph theory and graphing.[http://en.wikipedia.org/wiki/Plane_%28geometry%29] | ||
==External Links== | ==External Links== | ||
*[http://mathworld.wolfram.com/Plane.html Plane] | *[http://mathworld.wolfram.com/Plane.html Plane] | ||
*[http://easyweb.easynet.co.uk/~mrmeanie/plane/planes.htm Polygons & the Plane Equation] | *[http://easyweb.easynet.co.uk/~mrmeanie/plane/planes.htm Polygons & the Plane Equation] | ||
Revision as of 00:42, 12 February 2010
In mathematics, a plane is any flat, two-dimensional surface. A plane is the two dimensional analogue of a point (zero-dimensions), a line (one-dimension) and a space (three-dimensions). Planes can arise as subspaces of some higher dimensional space, as with the walls of a room, or they may enjoy an independent existence in their own right, as in the setting of Euclidean geometry.
When working in two-dimensional Euclidean space, the definite article is used, the plane, to refer to the whole space. Many fundamental tasks in geometry, trigonometry, and graphing are performed in two-dimensional space, or in other words, in the plane. A lot of mathematics can be and has been performed in the plane, notably in the areas of geometry, trigonometry, graph theory and graphing.[1]
