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# What Is a Plane in Geometry?

**In geometry, a plane is defined as a flat, infinite surface.** It has infinite length and width but no thickness. A plane is thus a two-dimensional, boundless surface and a subset of space.

A plane is also defined as a set of points. Three noncollinear points, or points that don't lie on a single line, are said to lie in a unique plane. There are infinite points in a plane. A line and a point not lying on this line are also said to lie in a unique plane. In geometry, a plane is often represented as a four-sided figure on paper, which allows for the study of planes. The top of a table, the surface of a book and a page in a book are examples of portions of a plane.

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Q:
## What Is the Flat Surface of a Solid Figure?

A: In geometry, the flat surface of a solid figure is referred to as a "face." A solid figure is a three-dimensional geometric shape that contains "faces," "v... Full Answer >Filed Under: -
Q:
## Who Invented the Cartesian Plane?

A: The French philosopher and mathematician Rene Descartes invented the Cartesian plane in the 17th century. The name Cartesian is derived from Descartes' own... Full Answer >Filed Under: -
Q:
## What Are Two Different Ways to Name a Plane?

A: A plane can be regarded as a single letter, written in upper case and in cursive lettering, such as plane Q. It can also be named by identifying three poin... Full Answer >Filed Under: -
Q:
## What Is Square to Plane As Cube Is To?

A: A square is to a plane as a cube is to a volume. A square, a two-dimensional shape, exists on a plane, which is a two-dimensional space. Similarly, a cube ... Full Answer >Filed Under: