Brocard Circle = Circumcircle of the First Brocard Triangle.

Brocard Circle = Circumcircle of the Second Brocard Triangle.

Brocard Circle = Bevan Circle of the Orthic Triangle of the Second Brocard Triangle.

Brocard Circle = Nine-Point Circle of the Excentral Triangle of the First Brocard Triangle.

Brocard Circle = Nine-Point Circle of the Anticomplementary Triangle of the First Brocard Triangle.

Brocard Circle = Nine-Point Circle of the Excentral Triangle of the Second Brocard Triangle.

Brocard Circle = Nine-Point Circle of the Anticomplementary Triangle of the Second Brocard Triangle.

Brocard Circle = Incircle of the Tangential Triangle of the Second Brocard Triangle.

Brocard Circle = Nine-Point Circle of the First Brocard Triangle of the Anticomplementary Triangle.

The Brocard Circle is concentric to the Lemoine Circle.

The Brocard Circle is concentric to the Inverse of the Lemoine Circle in the Brocard Circle.

The Brocard Circle is concentric to the Inverse of the Brocard Circle in the Lemoine Circle.

The Brocard Circle is congruent to the Bevan Circle of the Medial Triangle of the First Brocard Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Orthic Triangle of the First Brocard Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Medial Triangle of the Second Brocard Triangle.

The Brocard Circle is congruent to the Brocard Circle of the Anticomplementary Triangle of the Euler Triangle.

The Brocard Circle is congruent to the Bevan Circle of the First Brocard Triangle of the Medial Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Second Brocard Triangle of the Medial Triangle.

The Brocard Circle is congruent to the Brocard Circle of the Euler Triangle of the Anticomplementary Triangle.

The Brocard Circle is congruent to the Nine-Point Circle of the Second Brocard Triangle of the Anticomplementary Triangle.

The Brocard Circle is congruent to the Bevan Circle of the First Brocard Triangle of the Euler Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Second Brocard Triangle of the Euler Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Euler Triangle of the First Brocard Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Feuerbach Triangle of the First Brocard Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Euler Triangle of the Second Brocard Triangle.

The Brocard Circle is congruent to the Bevan Circle of the Feuerbach Triangle of the Second Brocard Triangle.