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).
