"hyperbolic geometry" meaning in English

{
  "etymology_text": "The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).",
  "forms": [
    {
      "form": "hyperbolic geometries",
      "tags": [
        "plural"
      ]
    }
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
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      ],
      "glosses": [
        "A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L."
      ],
      "id": "en-hyperbolic_geometry-en-noun-KRjpmN5H",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "parallel postulate",
          "parallel postulate#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
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          ],
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        },
        {
          "_dis": "44 56",
          "kind": "other",
          "langcode": "en",
          "name": "Non-Euclidean geometry",
          "orig": "en:Non-Euclidean geometry",
          "parents": [],
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        }
      ],
      "glosses": [
        "A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature"
      ],
      "id": "en-hyperbolic_geometry-en-noun-hamCXW7e",
      "links": [
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          "mathematics",
          "mathematics"
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        [
          "non-Euclidean",
          "non-Euclidean"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "hyperbola",
          "hyperbola"
        ],
        [
          "geodesic",
          "geodesic"
        ],
        [
          "negative",
          "negative"
        ],
        [
          "curvature",
          "curvature"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "_dis1": "46 54",
      "word": "Lobachevsky-Bolyai-Gauss geometry"
    }
  ],
  "wikipedia": [
    "Beltrami–Klein model",
    "Felix Klein",
    "Poincaré disk"
  ],
  "word": "hyperbolic geometry"
}

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    "Pages with entries",
    "en:Non-Euclidean geometry"
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  "etymology_text": "The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).",
  "forms": [
    {
      "form": "hyperbolic geometries",
      "tags": [
        "plural"
      ]
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Geometry"
      ],
      "glosses": [
        "A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L."
      ],
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        [
          "geometry",
          "geometry"
        ],
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          "parallel postulate",
          "parallel postulate#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature"
      ],
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          "mathematics",
          "mathematics"
        ],
        [
          "non-Euclidean",
          "non-Euclidean"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "hyperbola",
          "hyperbola"
        ],
        [
          "geodesic",
          "geodesic"
        ],
        [
          "negative",
          "negative"
        ],
        [
          "curvature",
          "curvature"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Lobachevsky-Bolyai-Gauss geometry"
    }
  ],
  "wikipedia": [
    "Beltrami–Klein model",
    "Felix Klein",
    "Poincaré disk"
  ],
  "word": "hyperbolic geometry"
}