Midpoint of the Incenter and Nagel Point = Spieker Center.

Midpoint of the Centroid and Orthocenter = Center of the Orthocentroidal circle.

Midpoint of the Circumcenter and Orthocenter = Nine-point Center.

Midpoint of the Circumcenter and Symmedian Point = Center of the Brocard circle.

Midpoint of the Orthocenter and de Longchamps Point = Circumcenter.

Midpoint of the Nagel Point and de Longchamps Point = Bevan Point.

Midpoint of the Bevan Point and Incenter = Circumcenter.

Midpoint of the Bevan Point and Orthocenter = Spieker Center.

Midpoint of the First Brocard Point and Second Brocard Point = Brocard Midpoint.

Midpoint of the Steiner Point and Tarry Point = Circumcenter.

Midpoint of the Center of the Orthocentroidal circle and Centroid = Nine-point Center.

Midpoint of the Center of the Orthocentroidal circle and Circumcenter = Centroid.