Point (geometry)

From Citizendium, the Citizens' Compendium

	Main Article	Talk	Related Articles  [?]	Bibliography  [?]	External Links  [?]
	This is a draft article, under development and not meant to be cited but you can help to improve it. These unapproved articles are subject to a disclaimer. [edit intro]

Diagram of a point (in blue) called A (with its label in black)

Diagram of a point using an alternative "circle" notation

A point is a mathematical object in geometry which has a position but neither length nor breadth nor depth. A point is made up of no other parts. The extremities of a line segment are points.

In Euclidean geometry:

A line is made up of an infinite number of points. Any line can be completely defined by two distinct points. Any plane can be completely defined by three distinct points that are not all part of the same line. Any two lines that lay on a single plane and are not parallel will intersect at a single point. Any three planes such that no plane is parallel to either of the other two will intersect at a single point.