Orthocentric Centroid

The centroid of the four points constituting an orthocentric system is the center of the common nine-point circle (Johnson 1929, p. 249). This fact automatically guarantees that the centroid of the incenter and excenters of a triangle is located at the circumcenter.

Explore with Wolfram|Alpha


Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, 1929.

Referenced on Wolfram|Alpha

Orthocentric Centroid

Cite this as:

Weisstein, Eric W. "Orthocentric Centroid." From MathWorld--A Wolfram Web Resource.

Subject classifications