Brocard Midpoint = Third Brocard Point of the Medial Triangle.

Brocard Midpoint = Third Brocard Point of the Pedal Triangle of the Circumcenter.

Brocard Midpoint = Circumcenter of the Pedal Triangle of the First Brocard Point.

Brocard Midpoint = Circumcenter of the Pedal Triangle of the Second Brocard Point.

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

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

Brocard Midpoint = Complement of the Third Brocard Point.

Brocard Midpoint = Complement of the Perspector of Triangle ABC and First Brocard Triangle.

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

Brocard Midpoint = Isotomic Complement of the Symmedian Point.

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

Brocard Midpoint = Isotomic Complement of the Reflection of the Circumcenter in the Center of the Brocard circle.

Brocard Midpoint = Isotomic Complement of the Perspector of the Anticevian Triangle of the Circumcenter and Half-Altitude Triangle.

Brocard Midpoint = Isotomic Complement of the Perspector of the Symmedial Triangle and Tangential Triangle.

Brocard Midpoint = Isotomic Complement of the Perspector of the Half-Altitude Triangle and Medial Triangle.

Brocard Midpoint = Isotomic Complement of the Perspector of the Second Brocard Triangle and Symmedial Triangle.

Brocard Midpoint = Isotomic Complement of the Perspector of the Second Brocard Triangle and Tangential Triangle.

Brocard Midpoint = Isotomic Conjugate of the Isogonal Conjugate of the Perspector of the Symmedial Triangle and Anticevian Triangle of the Brocard Midpoint.

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

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

Brocard Midpoint = Perspector of the Medial Triangle and Half-cevian Triangle of the Symmedian Point.

Brocard Midpoint = Perspector of the Cevian Triangle of the Brocard Midpoint and Anticevian Triangle of the Brocard Midpoint.

Brocard Midpoint = Perspector of the Cevian Triangle of the Brocard Midpoint and Circumcevian Triangle of the Brocard Midpoint.

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

Brocard Midpoint = Perspector of the Anticevian Triangle of the Brocard Midpoint and Circumcevian Triangle of the Brocard Midpoint.

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

Brocard Midpoint = Perspector of the Pedal Triangle of the Circumcenter and Half-cevian Triangle of the Symmedian Point.

Brocard Midpoint = Perspector of the Cyclocevian Triangle of the Orthocenter and Half-cevian Triangle of the Symmedian Point.

Brocard Midpoint = Perspector of Triangle ABC and Medial Triangle of the Symmedial Triangle.

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

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

The Brocard Midpoint lies on the Brocard Axis.

The Brocard Midpoint lies on the Line defined by the Circumcenter and First Isodynamic Point.

The Brocard Midpoint lies on the Line defined by the Circumcenter and Second Isodynamic Point.

The Brocard Midpoint lies on the Line defined by the Circumcenter and Center of the Brocard circle.

The Brocard Midpoint lies on the Line defined by the Circumcenter and Center of the Apollonius Circle.

The Brocard Midpoint lies on the Line defined by the Symmedian Point and First Isodynamic Point.

The Brocard Midpoint lies on the Line defined by the Symmedian Point and Second Isodynamic Point.

The Brocard Midpoint lies on the Line defined by the Symmedian Point and Center of the Brocard circle.

The Brocard Midpoint lies on the Line defined by the Symmedian Point and Center of the Apollonius Circle.

The Brocard Midpoint lies on the Line defined by the First Isodynamic Point and Second Isodynamic Point.

The Brocard Midpoint lies on the Line defined by the First Isodynamic Point and Center of the Brocard circle.

The Brocard Midpoint lies on the Line defined by the First Isodynamic Point and Center of the Apollonius Circle.

The Brocard Midpoint lies on the Line defined by the Second Isodynamic Point and Center of the Brocard circle.

The Brocard Midpoint lies on the Line defined by the Second Isodynamic Point and Center of the Apollonius Circle.

The Brocard Midpoint lies on the Line defined by the First Brocard Point and Second Brocard Point.

The Brocard Midpoint lies on the Line defined by the Center of the Brocard circle and Center of the Apollonius Circle.