"hyperplane" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "plane"
      },
      "expansion": "hyper- + plane",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + plane",
  "forms": [
    {
      "form": "hyperplanes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperplane (plural hyperplanes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with hyper-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "id": "en-hyperplane-en-noun-v1dseEti",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "affine",
          "affine"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "split",
          "split"
        ],
        [
          "point",
          "point"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "related": [
        {
          "word": "hypersurface"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "nadrovina"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "masculine"
          ],
          "word": "hyperplan"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "Hyperebene"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "an n-dimensional generalization of a plane",
          "word": "hipersík"
        },
        {
          "code": "kk",
          "lang": "Kazakh",
          "roman": "giperjazyqtyq",
          "sense": "an n-dimensional generalization of a plane",
          "word": "гипержазықтық"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "giperplóskostʹ",
          "sense": "an n-dimensional generalization of a plane",
          "tags": [
            "feminine"
          ],
          "word": "гиперпло́скость"
        }
      ],
      "wikipedia": [
        "hyperplane"
      ]
    }
  ],
  "word": "hyperplane"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "plane"
      },
      "expansion": "hyper- + plane",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + plane",
  "forms": [
    {
      "form": "hyperplanes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperplane (plural hyperplanes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "hypersurface"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with hyper-",
        "en:Geometry"
      ],
      "glosses": [
        "An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "affine",
          "affine"
        ],
        [
          "subspace",
          "subspace"
        ],
        [
          "split",
          "split"
        ],
        [
          "point",
          "point"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(geometry) An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hyperplane"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "nadrovina"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "masculine"
      ],
      "word": "hyperplan"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "Hyperebene"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "an n-dimensional generalization of a plane",
      "word": "hipersík"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "giperjazyqtyq",
      "sense": "an n-dimensional generalization of a plane",
      "word": "гипержазықтық"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "giperplóskostʹ",
      "sense": "an n-dimensional generalization of a plane",
      "tags": [
        "feminine"
      ],
      "word": "гиперпло́скость"
    }
  ],
  "word": "hyperplane"
}