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

(1) |

(2) |

(3) |

(4) |

(5) |

(6) |

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).

**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.

© 1996-9

1999-05-26