Aplane is a perfectly flat surface extending in all directions. It can be thought of as the ceiling of a room, only extended into all directions infinitely. A plane has two dimensions:length andwidth. All planes are flat surfaces. If a surface is not flat, it is called acurved surface.
The toolplane can be used to create a flat, level surface like the mathematical plane—hence the name.
Aplane figure is part of a plane. It is named by the capital letters (such as A, B, C, ...X, Y, Z) that are put at itscorners. Sometimes, a single capitalpi is also used to refer to a plane.[2] A plane can also be named after three points that are not all on the same line.[3]
Inmathematics, aplane is a fundamentaltwo-dimensional object. Intuitively, it looks like a flat infinite sheet of paper. There are several definitions of the plane. They are equivalent in the sense ofEuclidean geometry, but they can be extended in different ways to define objects in other areas ofmathematics. The only two-dimensional figure in our three-dimensional world is ashadow.
In some areas of mathematics, such asplane geometry or 2Dcomputer graphics, the whole space in which the work is carried out is a single plane. In such situations, the definite article is used:the plane. Many fundamental tasks ingeometry,trigonometry and graphing are performed in the two dimensional space, or in other words, in the plane.
A plane is asurface such that, given any three distinctpoints on the surface, the surface also contains all of thestraight lines that pass through any two of them.One can introduce aCartesian coordinate system on a given plane in order to label every point on it with a unique ordered pair, which is composed of two numbers and is the coordinate of the point.
Within anyEuclidean space, a plane is uniquely determined by any of the following combinations:
