Cevian

Pronunciation: /sɛv.ɛɑn/ Explain

Click on the blue points and drag them to change the figure. A cevian line passes through a vertex of a triangle and through the side opposite the vertex, but not the endpoints. Manipulative 1 - Cevian Created with GeoGebra.

A cevian is any line passing through the vertex of a triangle and the opposite side, but not the endpoints.[2] Some of the common cevians are the medians, angle bisectors and altitudes of a triangle.

References

1. McAdams, David E.. All Math Words Dictionary, cevian. 2nd Classroom edition 20150108-4799968. pg 32. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Coxeter, H.M.S. and Greitzer, S.L.. Geometry Revisited. 1st edition. pp 4-6. The Mathematical Association of America. 1967. Last Accessed 6/25/2018. Buy the book

More Information

• McAdams, David E.. Ceva's Theorem. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/c/cevastheorem.html.

Cite this article as:

McAdams, David E. Cevian. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/cevian.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

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.)
11/21/2008: Initial version. (McAdams, David E.)