## ::Plane (geometry)

### ::concepts

In mathematics, a **plane** is a flat, two-dimensional surface. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. 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 exclusively in two-dimensional Euclidean space, the definite article is used, so, *the* plane refers to the whole space. Many fundamental tasks in mathematics, geometry, trigonometry, graph theory and graphing are performed in a two-dimensional space, or in other words, in the plane.

**Plane (geometry) sections**

Intro Euclidean geometry Planes embedded in 3-dimensional Euclidean space Planes in various areas of mathematics Topological and differential geometric notions See also Notes References External links

PREVIOUS: Intro | NEXT: Euclidean geometry |

<< | >> |

In mathematics, a **plane** is a flat, two-dimensional surface. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. 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 exclusively in two-dimensional Euclidean space, the definite article is used, so, *the* plane refers to the whole space. Many fundamental tasks in mathematics, geometry, trigonometry, graph theory and graphing are performed in a two-dimensional space, or in other words, in the plane.

**Plane (geometry) sections**

Intro Euclidean geometry Planes embedded in 3-dimensional Euclidean space Planes in various areas of mathematics Topological and differential geometric notions See also Notes References External links

PREVIOUS: Intro | NEXT: Euclidean geometry |

<< | >> |