Circumcentre
From Citizendium, the Citizens' Compendium
This is a lemma article, containing just a definition. Click here to create the metadata page if you want to expand this into a full-fledged article.
Circumcentre:
The centre of the circle that goes through the vertices of a triangle or a cyclic polygon.
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.

