Point (geometry): Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Ro Thorpe
mNo edit summary
imported>Miguel Adérito Trigueira
(Added diagrams)
Line 1: Line 1:
{{subpages}}
{{subpages}}
[[Image:Point (geometry).png|frame|Diagram of a point (in blue) called A (with its label in black)]]
[[Image:Point (geometry) circle notation.png|frame|Diagram of a point using an alternative "circle" notation]]


A '''point''' is a mathematical object in [[geometry]] which has a position but no [[length]] or [[breadth]] or [[depth]].  
A '''point''' is a mathematical object in [[geometry]] which has a position but no [[length]] or [[breadth]] or [[depth]].  

Revision as of 03:13, 15 August 2008

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.
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 no length or breadth or 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.