# locus

Locus (from Latin locus ‘’) is a set of points satisfying a certain condition and such that no point outside the set satisfies this condition.

For example, in the plane the locus of such point that is at a fixed distance^{} $r$ from a fixed point $O$ is the circle with centre $O$ and radius $r$; the locus of such point which is equidistant from both ends of a line segment^{} is the perpendicular bisector^{} of this line segment.

In general, the loci in the plane are geometric curves; thus one may speak of locus curves.

Title | locus |
---|---|

Canonical name | Locus |

Date of creation | 2013-03-22 17:07:52 |

Last modified on | 2013-03-22 17:07:52 |

Owner | pahio (2872) |

Last modified by | pahio (2872) |

Numerical id | 7 |

Author | pahio (2872) |

Entry type | Definition |

Classification | msc 51N05 |

Related topic | SetMembership |

Defines | locus |

Defines | loci |