Brocard Circle
The Circle passing through the first and second Brocard Points 
and 
, the LemoinePoint 
, and the Circumcenter 
of a given Triangle. The Brocard Points and are symmetrical about the Line 
, which is called the Brocard Line.The Line Segment 
is called the Brocard Diameter, and it has length
where
is the Circumradius and 
is the Brocard Angle. The distance between either of the Brocard Points and the Lemoine Point is
See also Brocard Angle, Brocard Diameter, Brocard Points
References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, p. 272, 1929.
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