Isotomic Conjugate of the Centroid = Centroid.

Isotomic Conjugate of the Symmedian Point = Third Brocard Point.

Isotomic Conjugate of the Gergonne Point = Nagel Point.

Isotomic Conjugate of the Nagel Point = Gergonne Point.

Isotomic Conjugate of the Third Brocard Point = Symmedian Point.

Isotomic Conjugate of the Centroid of the Medial Triangle = Centroid.

Isotomic Conjugate of the Symmedian Point of the Intouch Triangle = Nagel Point.

Isotomic Conjugate of the Incenter of the Anticomplementary Triangle = Gergonne Point.

Isotomic Conjugate of the Centroid of the Anticomplementary Triangle = Centroid.

Isotomic Conjugate of the Symmedian Point of the Anticomplementary Triangle = Orthocenter.

Isotomic Conjugate of the Mittenpunkt of the Anticomplementary Triangle = Nagel Point.

Isotomic Conjugate of the Centroid of the First Brocard Triangle = Centroid.

Isotomic Conjugate of the Symmedian Point of the Fourth Brocard Triangle = Third Brocard Point.