The line segment (K O)^_ joining the symmedian point K and circumcenter O of a given triangle. It is the diameter of the triangle's Brocard circle, and lies along the Brocard axis. The Brocard diameter has length (O K)^_ | = | ((O Ω)^_)/(cos ω) | = | (Rsqrt(1 - 4sin^2 ω))/(cos ω) | = | (2R sqrt(a^4 + b^4 + c^4 - (a^2 b^2 + a^2 c^2 + b^2 c^2)))/(a^2 + b^2 + c^2),

Brocard axis | Brocard circle | Brocard line | Brocard points | circumcenter | first Brocard point | second Brocard point | symmedian point