A Line from any of the Vertices of a Triangle to the first or second
Brocard Point. Let the Angle at a Vertex also be denoted ,
and denote the intersections of and with as and . Then the Angles involving these points are
The Brocard line, Median , and Lemoine Point are concurrent, with , , and meeting at a point . Similarly, , , and meet at a point which is the Isogonal Conjugate point of (Johnson 1929, pp. 268-269).
See also Brocard Axis, Brocard Diameter, Brocard Points, Isogonal Conjugate, Lemoine Point, Median (Triangle)
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA:
Houghton Mifflin, pp. 263-286, 1929.
© 1996-9 Eric W. Weisstein