"projective plane" meaning in All languages combined

{
  "forms": [
    {
      "form": "projective planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "projective plane (plural 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": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Manifolds",
          "orig": "en:Manifolds",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Surfaces",
          "orig": "en:Surfaces",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2004, David S. Dummit with Richard M. Foote, chapter 6, in Abstract Algebra, page 210",
          "text": "Generally, a projective plane of \"order\" N has N²+N+1 points, and the same number of lines.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point."
      ],
      "hypernyms": [
        {
          "word": "projective space"
        }
      ],
      "hyponyms": [
        {
          "word": "Fano plane"
        },
        {
          "word": "real projective plane"
        }
      ],
      "id": "en-projective_plane-en-noun-f-103-0s",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "plane",
          "plane#English"
        ],
        [
          "distinct",
          "distinct#English"
        ],
        [
          "points",
          "point#English"
        ],
        [
          "line",
          "line#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "projective plane"
      ]
    }
  ],
  "word": "projective plane"
}

{
  "forms": [
    {
      "form": "projective planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "projective plane (plural projective planes)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "projective space"
    }
  ],
  "hyponyms": [
    {
      "word": "Fano plane"
    },
    {
      "word": "real 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",
        "en:Geometry",
        "en:Infinity",
        "en:Manifolds",
        "en:Surfaces"
      ],
      "examples": [
        {
          "ref": "2004, David S. Dummit with Richard M. Foote, chapter 6, in Abstract Algebra, page 210",
          "text": "Generally, a projective plane of \"order\" N has N²+N+1 points, and the same number of lines.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "plane",
          "plane#English"
        ],
        [
          "distinct",
          "distinct#English"
        ],
        [
          "points",
          "point#English"
        ],
        [
          "line",
          "line#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "projective plane"
      ]
    }
  ],
  "word": "projective plane"
}