Circumcenter of the Fourth Brocard Triangle = Center of the Orthocentroidal circle.

Circumcenter of the Fourth Brocard Triangle = Centroid of the s-Reflection Triangle of the Circumcenter.

Circumcenter of the Fourth Brocard Triangle = Centroid of the Euler Triangle.

Symmedian Point of the Fourth Brocard Triangle = Symmedian Point.

Symmedian Point of the Fourth Brocard Triangle = Centroid of the Pedal Triangle of the Symmedian Point.

Symmedian Point of the Fourth Brocard Triangle = Symmedian Point of the Circumcevian Triangle of the Symmedian Point.

Symmedian Point of the Fourth Brocard Triangle = Circumcenter of the s-Reflection Triangle of the Centroid.

Symmedian Point of the Fourth Brocard Triangle = Centroid of the s-Reflection Triangle of the Symmedian Point.

Symmedian Point of the Fourth Brocard Triangle = Center of the Brocard circle of the s-Reflection Triangle of the First Brocard Point.

Symmedian Point of the Fourth Brocard Triangle = Center of the Brocard circle of the s-Reflection Triangle of the Second Brocard Point.

Symmedian Point of the Fourth Brocard Triangle = Steiner Point of the First Brocard Triangle.

Circumcenter of the Fourth Brocard Triangle = Midpoint of the Centroid and Orthocenter.

Circumcenter of the Fourth Brocard Triangle = Reflection of the Centroid in the Nine-point Center.

Circumcenter of the Fourth Brocard Triangle = Reflection of the Circumcenter in the Centroid.

Circumcenter of the Fourth Brocard Triangle = Internal Similitude Center of the Nine-Point Circle and Nine-Point Circle of the Euler Triangle.

Symmedian Point of the Fourth Brocard Triangle = Perspector of the Symmedial Triangle and Tangential Triangle.

Symmedian Point of the Fourth Brocard Triangle = Perspector of Triangle ABC and Medial Triangle of the Orthic Triangle.

Symmedian Point of the Fourth Brocard Triangle = Complement of the Symmedian Point of the Anticomplementary Triangle.

Symmedian Point of the Fourth Brocard Triangle = Anticomplement of the Symmedian Point of the Medial Triangle.

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

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

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

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

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

Symmedian Point of the Fourth Brocard Triangle = Isotomic Complement of the Orthocenter.

Symmedian Point of the Fourth Brocard Triangle = Isotomic Complement of the Circumcenter of the Anticomplementary Triangle.

Symmedian Point of the Fourth Brocard Triangle = Isotomic Complement of the Orthocenter of the Euler Triangle.

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

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

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

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

Symmedian Point of the Fourth Brocard Triangle = Reflection of the Circumcenter in the Center of the Brocard circle.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the Incenter and Incenter.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the Circumcenter and Orthocenter.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the Gergonne Point and Internal Center of Similitude of Circumcircle and Incircle.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the First Fermat Point and First Isodynamic Point.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the Second Fermat Point and Second Isodynamic Point.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the Kosnita Point and Nine-point Center.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the External Center of Similitude of Circumcircle and Incircle and Nagel Point.

Symmedian Point of the Fourth Brocard Triangle = Yiu Conjugate of the First Brocard Point and Second Brocard Point.