"hyperbolic plane" meaning in English

See hyperbolic plane in All languages combined, or Wiktionary

Noun

Forms: hyperbolic planes [plural]
Head templates: {{en-noun}} hyperbolic plane (plural hyperbolic planes)
  1. (mathematics) A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric. Wikipedia link: hyperbolic plane Categories (topical): Mathematics, Surfaces Translations (topological space): breiðger slétta [feminine] (Icelandic)

Inflected forms

Download JSON data for hyperbolic plane meaning in English (1.9kB)

{
  "forms": [
    {
      "form": "hyperbolic planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperbolic plane (plural hyperbolic 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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Non-Euclidean geometry",
          "orig": "en:Non-Euclidean geometry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Shapes in non-Euclidean geometry",
          "orig": "en:Shapes in non-Euclidean geometry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Surfaces",
          "orig": "en:Surfaces",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Topological spaces",
          "orig": "en:Topological spaces",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric."
      ],
      "id": "en-hyperbolic_plane-en-noun-wvfzPjGx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "homeomorphic",
          "homeomorphic"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "open",
          "open"
        ],
        [
          "disk",
          "disk"
        ],
        [
          "hyperbolic",
          "hyperbolic"
        ],
        [
          "metric",
          "metric"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "topological space",
          "tags": [
            "feminine"
          ],
          "word": "breiðger slétta"
        }
      ],
      "wikipedia": [
        "hyperbolic plane"
      ]
    }
  ],
  "word": "hyperbolic plane"
}
{
  "forms": [
    {
      "form": "hyperbolic planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperbolic plane (plural hyperbolic planes)",
      "name": "en-noun"
    }
  ],
  "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:Mathematics",
        "en:Non-Euclidean geometry",
        "en:Shapes in non-Euclidean geometry",
        "en:Surfaces",
        "en:Topological spaces"
      ],
      "glosses": [
        "A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "homeomorphic",
          "homeomorphic"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "open",
          "open"
        ],
        [
          "disk",
          "disk"
        ],
        [
          "hyperbolic",
          "hyperbolic"
        ],
        [
          "metric",
          "metric"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hyperbolic plane"
      ]
    }
  ],
  "translations": [
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "topological space",
      "tags": [
        "feminine"
      ],
      "word": "breiðger slétta"
    }
  ],
  "word": "hyperbolic plane"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.