The second Brocard circle is the circle having center at the circumcenter 
of the reference
triangle and radius
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the circumradius. It has circle
function
 |
(3)
|
which corresponds to the symmedian point 
.
The (first) Brocard circle and second Brocard circle meet in the first and second Brocard points.
The second Brocard circle also passes through the points 
for 
and 1671.
