Mittenpunkt

The mittenpunkt (also called the middlespoint) of a triangle is the symmedian point of the excentral triangle, i.e., the point of concurrence of the lines from the excenters through the corresponding triangle side midpoints . It is commonly denoted or , has equivalent triangle center functions

			(1)
			(2)

and is Kimberling center (Kimberling 1998, p. 66).

The mittenpunkt is collinear with the Gergonne point and