"Klein quadric" meaning in English

{
  "etymology_text": "After German mathematician Felix Klein.",
  "forms": [
    {
      "form": "Klein quadrics",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "Klein quadric (plural Klein quadrics)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "langcode": "en",
          "name": "Shapes",
          "orig": "en:Shapes",
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      "glosses": [
        "The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric."
      ],
      "id": "en-Klein_quadric-en-noun-abqYXVrr",
      "links": [
        [
          "mathematics",
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      "raw_glosses": [
        "(mathematics) The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Felix Klein",
        "Klein quadric"
      ]
    }
  ],
  "word": "Klein quadric"
}

{
  "etymology_text": "After German mathematician Felix Klein.",
  "forms": [
    {
      "form": "Klein quadrics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "Klein quadric (plural Klein quadrics)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English countable nouns",
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        "en:Manifolds",
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        "en:Shapes"
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      "glosses": [
        "The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Felix Klein",
        "Klein quadric"
      ]
    }
  ],
  "word": "Klein quadric"
}