# octant

The coordinate planes ($yz$-plane, $zx$-plane, $xy$-plane) the space ${\mathbb{R}}^{3}$ into eight trihedral angles, which are called the *octants* of the space. The magnitude of each octant as a solid angle is $\frac{\pi}{2}$.

Any coordinate of a point moving in a certain octant preserves its sign (http://planetmath.org/SignumFunction). One calls the octant, where all three coordinates are nonnegative, *the first octant*. The other octants have no agreed numbering; see still http://de.wikipedia.org/wiki/Oktant_(Geometrie)Wikipedia.

Title | octant |
---|---|

Canonical name | Octant |

Date of creation | 2013-03-22 18:51:53 |

Last modified on | 2013-03-22 18:51:53 |

Owner | pahio (2872) |

Last modified by | pahio (2872) |

Numerical id | 5 |

Author | pahio (2872) |

Entry type | Definition |

Classification | msc 51N20 |

Related topic | Quadrant^{} |

Defines | first octant |