"real projective plane" meaning in English

{
  "forms": [
    {
      "form": "real projective planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "real projective plane (plural real projective planes)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Surfaces",
          "orig": "en:Surfaces",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”."
      ],
      "hypernyms": [
        {
          "word": "projective plane"
        }
      ],
      "id": "en-real_projective_plane-en-noun-TxgQtljt",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "linear subspace",
          "linear subspace"
        ],
        [
          "antipodal",
          "antipodal"
        ],
        [
          "great circle",
          "great circle"
        ]
      ],
      "raw_glosses": [
        "(geometry) A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "vector space",
          "tags": [
            "feminine"
          ],
          "word": "płaszczyzna rzutowa rzeczywista"
        }
      ],
      "wikipedia": [
        "real projective plane"
      ]
    }
  ],
  "word": "real projective plane"
}

{
  "forms": [
    {
      "form": "real projective planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "real projective plane (plural real projective planes)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "projective plane"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Polish translations",
        "en:Geometry",
        "en:Surfaces"
      ],
      "glosses": [
        "A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "linear subspace",
          "linear subspace"
        ],
        [
          "antipodal",
          "antipodal"
        ],
        [
          "great circle",
          "great circle"
        ]
      ],
      "raw_glosses": [
        "(geometry) A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”. Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "real projective plane"
      ]
    }
  ],
  "translations": [
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "vector space",
      "tags": [
        "feminine"
      ],
      "word": "płaszczyzna rzutowa rzeczywista"
    }
  ],
  "word": "real projective plane"
}