Plane (geometry)
From The Art and Popular Culture Encyclopedia
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In mathematics, a plane is a flat surface. 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 have been performed in the plane, notably in the areas of geometry, trigonometry, graph theory and graphing. All two-dimensional figures are assumed to be on a plane, even on the plane, unless otherwise specified.
See also
- Half-plane
- Hyperplane
- Line-plane intersection
- Plane of rotation
- Point on plane closest to origin
- Projective plane