Third Brocard Point = Brocard Midpoint of the Antipedal Triangle of the Orthocenter.

Third Brocard Point = Complement of the Reflection of the Third Brocard Point in the Brocard Midpoint.

Third Brocard Point = Complement of the Perspector of the Symmedial Triangle and Third Brocard Triangle.

Third Brocard Point = Complement of the Perspector of the Anticomplementary Triangle and Symmedial Triangle.

Third Brocard Point = Complement of the Perspector of the Anticomplementary Triangle and Third Brocard Triangle.

Third Brocard Point = Anticomplement of the Brocard Midpoint.

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

Third Brocard Point = Isotomic Conjugate of the Symmedian Point.

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

Third Brocard Point = Isotomic Conjugate of the Reflection of the Circumcenter in the Center of the Brocard circle.

Third Brocard Point = Isotomic Conjugate of the Perspector of the Anticevian Triangle of the Circumcenter and Half-Altitude Triangle.

Third Brocard Point = Isotomic Conjugate of the Perspector of the Symmedial Triangle and Tangential Triangle.

Third Brocard Point = Isotomic Conjugate of the Perspector of the Half-Altitude Triangle and Medial Triangle.

Third Brocard Point = Isotomic Conjugate of the Perspector of the Second Brocard Triangle and Symmedial Triangle.

Third Brocard Point = Isotomic Conjugate of the Perspector of the Second Brocard Triangle and Tangential Triangle.

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

Third Brocard 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 Anticomplementary Triangle.

Third Brocard 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 Midpoint of the Center of the Orthocentroidal circle and Circumcenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Reflection of the Center of the Orthocentroidal circle in the Nine-point Center.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Reflection of the Orthocenter in the Center of the Orthocentroidal circle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Medial Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Anticomplementary Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Pedal Triangle of the Circumcenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Antipedal Triangle of the Orthocenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Cyclocevian Triangle of the Orthocenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of Triangle ABC and Half-cevian Triangle of the Centroid.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Medial Triangle and Anticomplementary Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Medial Triangle and Antipedal Triangle of the Orthocenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Medial Triangle and Half-cevian Triangle of the Centroid.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Symmedial Triangle and Half-cevian Triangle of the Third Brocard Point.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Intouch Triangle and Half-cevian Triangle of the Nagel Point.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Extouch Triangle and Half-cevian Triangle of the Gergonne Point.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Cevian Triangle of the Third Brocard Point and Half-cevian Triangle of the Symmedian Point.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Anticomplementary Triangle and Pedal Triangle of the Circumcenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Anticomplementary Triangle and Cyclocevian Triangle of the Orthocenter.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Anticomplementary Triangle and Half-cevian Triangle of the Centroid.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Cyclocevian Triangle of the Orthocenter and Half-cevian Triangle of the Centroid.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Cyclocevian Triangle of the Gergonne Point and Half-cevian Triangle of the Nagel Point.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Anticomplementary Triangle and Circum-Medial Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Anticomplementary Triangle and Fourth Brocard Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Circum-Medial Triangle and Medial Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Circum-Medial Triangle and Fourth Brocard Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the First Brocard Triangle and Second Brocard Triangle.

Third Brocard Point = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Fourth Brocard Triangle and Medial Triangle.

Third Brocard Point = Perspector of the Cevian Triangle of the Third Brocard Point and Anticevian Triangle of the Third Brocard Point.

Third Brocard Point = Perspector of the Cevian Triangle of the Third Brocard Point and Circumcevian Triangle of the Third Brocard Point.

Third Brocard Point = Perspector of the Cevian Triangle of the Third Brocard Point and Half-cevian Triangle of the Third Brocard Point.

Third Brocard Point = Perspector of the Cevian Triangle of the Third Brocard Point and First Brocard Triangle.

Third Brocard Point = Perspector of the Anticevian Triangle of the Third Brocard Point and Circumcevian Triangle of the Third Brocard Point.

Third Brocard Point = Perspector of the Anticevian Triangle of the Third Brocard Point and Half-cevian Triangle of the Third Brocard Point.

Third Brocard Point = Perspector of the Anticevian Triangle of the Third Brocard Point and First Brocard Triangle.

Third Brocard Point = Perspector of the Half-cevian Triangle of the Third Brocard Point and First Brocard Triangle.

Third Brocard Point = Perspector of Triangle ABC and Symmedial Triangle of the Medial Triangle.

Third Brocard Point = Perspector of Triangle ABC and Third Brocard Triangle of the Medial Triangle.

The Third Brocard Point lies on the Line defined by the Centroid and Brocard Midpoint.

The Third Brocard Point lies on the Line defined by the Circumcenter and Tarry Point.

The Third Brocard Point lies on the Line defined by the Circumcenter and Steiner Point.

The Third Brocard Point lies on the Line defined by the Tarry Point and Steiner Point.