Circumcentre

From Citizendium
Revision as of 22:44, 17 February 2009 by imported>Chris Day
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Circumcentre [r]: The centre of the circle that goes through the vertices of a triangle or a cyclic polygon. [e]

This article contains just a definition and optionally other subpages (such as a list of related articles), but no metadata. Create the metadata page if you want to expand this into a full article.

In triangle geometry, the circumcentre of a triangle is a point which represents the centre of the circumcircle, the circle containing the three vertices; and the point common to the three perpendicular bisectors of the three sides.

More generally, if a polygon is cyclic, so that the vertices lie on a circle, the centre of that circle is the circumcentre.