Isotomic Conjugate of the Isogonal Conjugate of the Centroid = Third Brocard Point.

Isotomic Conjugate of the Isogonal Conjugate of the Symmedian Point = Centroid.

Isotomic Conjugate of the Isogonal Conjugate of the Internal Center of Similitude of Circumcircle and Incircle = Nagel Point.

Isotomic Conjugate of the Isogonal Conjugate of the External Center of Similitude of Circumcircle and Incircle = Gergonne Point.

Isotomic Conjugate of the Isogonal Conjugate of the Apollonius Point = Second Feuerbach Point.

Isotomic Conjugate of the Isogonal Conjugate of the Centroid of the Medial Triangle = Third Brocard Point.

Isotomic Conjugate of the Isogonal Conjugate of the Centroid of the Orthic Triangle = Nine-point Center.

Isotomic Conjugate of the Isogonal Conjugate of the Centroid of the Anticomplementary Triangle = Third Brocard Point.

Isotomic Conjugate of the Isogonal Conjugate of the Centroid of the Tangential Triangle = de Longchamps Point.

Isotomic Conjugate of the Isogonal Conjugate of the Centroid of the First Brocard Triangle = Third Brocard Point.

Isotomic Conjugate of the Isogonal Conjugate of the Symmedian Point of the Fourth Brocard Triangle = Centroid.