# general position

In projective geometry^{}, a set of points is said to be in *general position ^{}* iff any $d+2$ of them do not lie on a $d$-dimensional plane, i.e., 4 points are in general position iff no three of them are on the same line.

Dually a set of $d$-dimensional planes is said to be in general position iff no $d+2$ of them meet in the same point, i.e., 4 lines are in general position iff no three of them meet in the same point.

Title | general position |
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Canonical name | GeneralPosition |

Date of creation | 2013-03-22 13:37:31 |

Last modified on | 2013-03-22 13:37:31 |

Owner | jgade (861) |

Last modified by | jgade (861) |

Numerical id | 8 |

Author | jgade (861) |

Entry type | Definition |

Classification | msc 14A99 |