Pronunciation: /pɔɪnt/ ?

A point has no width, length or height[1]. An object that has no width, length or height is called dimensionless. Since it is dimensionless, the only property a point can have is a location.

A fixed point is a point that does not move.

In his book Elements[2], Euclid gave the definition of a point as "That which has no part", meaning that a point can not be divided into smaller parts. A point is the fundamental part in Euclidean Geometry, and all other objects are made from points. For example, a line consists of an infinite number of points in a row.


  1. Casey, John, LL.D., F.R.S.. The First Six Books of the Elements of Euclid, pg 4. Casey, John, LL.D. F.R.S.. Hodges, Figgis & Co., 1890. (Accessed: 2010-01-02). http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/4/mode/1up/search/point.
  2. Euclid. Elements, book 1, def 1. D. Joyce. Elements. (Accessed: 2009-12-05). http://babbage.clarku.edu/~djoyce/java/elements/bookI/defI1.html.
  3. Dimension. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=point&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

More Information

  • McAdams, David. Dimension. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Dimension.

Cite this article as:

Point. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/point.html.


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Revision History

2009-12-21: Added reference to http://dictionary.reference.com/browse/dimension and dimensionless (McAdams, David.)
2007-08-20: Initial version (McAdams, David.)

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