Pronunciation: /pɔɪnt/ Explain

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. Translated by Casey, John, LL.D. F.R.S.. www.archive.org. Hodges, Figgis & Co.. 1890. Last Accessed 1/2/2010. http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/4/mode/1up/search/point. Buy the book
  2. Euclid. Elements. book 1, def 1. Translated by D. Joyce. Elements. Last Accessed 12/5/2009. http://babbage.clarku.edu/~djoyce/java/elements/bookI/defI1.html.

More Information

  • McAdams, David E.. Dimension. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/d/dimension.html.

Cite this article as:

McAdams, David E. Point. 8/7/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/point.html.

Revision History

8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/21/2009: Added reference to http://dictionary.reference.com/browse/dimension and dimensionless (McAdams, David E.)
8/20/2007: Initial version. (McAdams, David E.)

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