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. |
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Mathematical objects such as points and lines are coplanar
if the lie in the same
plane.[2]
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.
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References
- McAdams, David E.. All Math Words Dictionary, coplanar. 2nd Classroom edition 20150108-4799968. pg 48. Life is a Story Problem LLC. January 8, 2015. Buy the book
- 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 6/25/2018. http://www.archive.org/stream/mathengineer00kellrich#page/118/mode/1up/search/coplanar. Buy the book
- Beman, Wooster Woodruff and Smith, David Eugene. Solid Geometry. pp 245-246. www.archive.org. Ginn & Company. 1903. Last Accessed 6/25/2018. 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. https://www.allmathwords.org/en/p/plane.html.
Cite this article as:
McAdams, David E. Coplanar. 4/18/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/coplanar.html.
Image Credits
Revision History
4/16/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
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.)