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Preferred term

half-space  

Definition

  • In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space. If the space is two-dimensional, then a half-space is called a half-plane (open or closed). A half-space in a one-dimensional space is called a half-line or ray.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Half-space_(geometry))

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http://data.loterre.fr/ark:/67375/PSR-KMWHCHWV-L

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