Coplanar

Pronunciation: /koʊˈpleɪ nər/ Explain

Click on any part of the graph that does not contain an object and drag it to rotate the view. The green shaded part represents plane a.

Note that point C and line f always show in the plane. They are coplanar with plane a. Line g and point F do not always show in the plane. They are not coplanar with plane a.
Manipulative 1 - Coplanar Created with GeoGebra.

Mathematical objects such as points and lines are coplanar if the lie in the same plane.[1] In manipulative 1, lines A and B are coplanar with each other and with point C. Point D and line E are not coplanar with A, B, and C. Objects that are not in the same plane are called non-coplanar.

The grey parallelogram in manipulative 1 represents a portion of a plane. Click on the yellow points in manipulative 1 and drag them to change the figure. The yellow point labeled 'rotate' rotates the plane.

References

  1. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pg 118, def 8. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 8/6/2018. http://www.archive.org/stream/mathengineer00kellrich#page/118/mode/1up/search/coplanar. Buy the book
  2. Beman, Wooster Woodruff and Smith, David Eugene. Solid Geometry. pp 245-246. www.archive.org. Ginn & Company. 1903. Last Accessed 8/6/2018. http://www.archive.org/stream/solidgeometry00bema#page/245/mode/1up/search/coplanar. Buy the book

More Information

  • McAdams, David E.. Plane. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. http://www.allmathwords.org/en/p/plane.html.

Cite this article as:

McAdams, David E. Coplanar. 6/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/coplanar.html.

Image Credits

Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/6/2010: Added "References". (McAdams, David E.)
4/30/2008: Initial version. (McAdams, David E.)

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