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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 spherical geometry?

A: Spherical geometry is the branch of mathematics that deals with figures placed on the surface of a sphere. It can also be defined as a three-dimensional vi... Full Answer >Filed Under: -
Q:
## What is a tessellation maker?

A: A tessellation maker is an application that allows the user to form a tessellation, which is a repeating pattern of polygons covering a plane, leaving no g... 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:
## Why do some shapes tessellate and others not?

A: Tessellations occur when a shape is repeated in an interlocking pattern that fully covers a flat surface, or plane, like the pieces of a puzzle. Some shape... Full Answer >Filed Under: