"real projective plane" meaning in All languages combined

{
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    {
      "form": "real projective planes",
      "tags": [
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      "expansion": "real projective plane (plural real projective planes)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "langcode": "en",
          "name": "Geometry",
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      "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",
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        [
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          "field",
          "field"
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        [
          "real number",
          "real number"
        ],
        [
          "linear subspace",
          "linear subspace"
        ],
        [
          "antipodal",
          "antipodal"
        ],
        [
          "great circle",
          "great circle"
        ]
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      "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”."
      ],
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        "mathematics",
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      ],
      "wikipedia": [
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  ],
  "word": "real projective plane"
}

{
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    {
      "form": "real projective planes",
      "tags": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      ],
      "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”."
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        "(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”."
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  "word": "real projective plane"
}