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Brocard Diameter

The Line Segment $\overline{KO}$ joining the Lemoine 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


where $\Omega$ is the first Brocard Point, $R$ is the Circumradius, and $\omega$ is the Brocard Angle.

See also Brocard Axis, Brocard Circle, Brocard Line, Brocard Points

© 1996-9 Eric W. Weisstein