Define the first Brocard point as the interior point Ω of a triangle for which the angles ∠Ω A B, ∠Ω B C, and ∠Ω C A are equal to an angle ω. Similarly, define the second Brocard point as the interior point Ω' for which the angles ∠Ω' A C, ∠Ω' C B, and ∠Ω' B A are equal to an angle ω'. Then ω = ω', and this angle is called the Brocard angle.

Abi-Khuzam inequality | Brocard circle | Brocard line | Brocard triangles | equi-Brocard center | Fermat points | Neuberg circles | Yff conjecture