Chat with our AI personalities
The plane that geometry refers to is not an airplane. A plane is a two-dimensional group of points that goes on infinitely in all directions; made up of infinite line. For example, a rectangle is a plane.
Two dimensional geometry is called "plane geometry" meaning that it occurs on a single surface or plane. The objects used in plane geometry are called plane figures.
Hopefully the same thing it means in most other grades of geometry, which is a straight one dimensional object that is infinitely long. It differs from a ray, which has a finite point and extends infinitely from that point in a single direction, and a line segment, which has two finite ends.
A line is related to a surface as a point to a plane. In geometry, a point has no dimensions and defines a location in space, while a plane is a two-dimensional surface that extends infinitely in all directions. Similarly, a line is a one-dimensional figure that extends infinitely in two opposite directions, while a surface is a two-dimensional figure that extends infinitely in all directions.
It is a surface with zero curvature. It is 2-dimensional and in those two dimensions it extends infinitely far.It is a surface with zero curvature. It is 2-dimensional and in those two dimensions it extends infinitely far.It is a surface with zero curvature. It is 2-dimensional and in those two dimensions it extends infinitely far.It is a surface with zero curvature. It is 2-dimensional and in those two dimensions it extends infinitely far.