# cevian

A *cevian* of a triangle^{}, is any line segment^{} joining a vertex with a point of the opposite side.

$AD$ is a cevian of $\mathrm{\u25b3}ABC$.

If $D$ is the midpoint^{} of $BC$, then the cevian $AD$ is a *median*. If $AD$ is perpendicular^{} to $BC$, then the cevian is a *height*.

Title | cevian |

Canonical name | Cevian |

Date of creation | 2013-03-22 12:10:57 |

Last modified on | 2013-03-22 12:10:57 |

Owner | CWoo (3771) |

Last modified by | CWoo (3771) |

Numerical id | 9 |

Author | CWoo (3771) |

Entry type | Definition |

Classification | msc 51M99 |

Related topic | Triangle |

Related topic | CevasTheorem |

Related topic | ProofOfApolloniusTheorem2 |

Related topic | TrigonometricVersionOfCevasTheorem |

Related topic | Median |

Related topic | HeightOfATriangle |