The isogonal mittenpunkt is the isogonal conjugate of the mittenpunkt. It is the homothetic center of the excentral and contact triangles (Gallatly 1913, pp. 17-18). It has equivalent triangle center functions
(1)
| |||
(2)
|
and is Kimberling center (Kimberling 1998, p. 75).
lies on the line joining the circumcenter with the incenter of a triangle (Gallatly 1913, pp. 17-18), as well as on the line passing through the triangle centroid , Gergonne point Ge, and mittenpunkt of (Gallatly 1913, p. 22).