| 释义 |
Brocard LineA 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
 | (1) |
 | (2) |
 | (3) |
 and  are given by
 | (4) |
 | (5) |
 | (6) |
 is the Brocard Angle (Johnson 1929, pp. 267-268).
The Brocard line, Median  , and Lemoine Point  are concurrent, with ,  , and  meeting at a point  . Similarly, ,  , and  meet at a pointwhich 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)
References
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.
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