The second Brocard Cevian triangle is the Cevian triangle of the second Brocard point. It has area

where is the area of the reference triangle, which is the same as not only the first Brocard Cevian triangle, but also of the symmedial triangle.

The second Brocard Cevian triangle is the Cevian triangle of the second Brocard point. It has area

where is the area of the reference triangle, which is the same as not only the first Brocard Cevian triangle, but also of the symmedial triangle.

Weisstein, Eric W. "Second Brocard Cevian Triangle."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/SecondBrocardCevianTriangle.html