The midpoint of the first and second Brocard
points
and
.
It has equivalent triangle center functions
(1)
| |||
(2)
|
where
is the Brocard angle. It is Kimberling
center
(Kimberling 1998, p. 73).
The Brocard midpoint lies on the Brocard axis and is the center of the Gallatly, half-Moses, and Moses circles.