"Poincaré disk" meaning in All languages combined

See Poincaré disk on Wiktionary

Noun [English]

Forms: Poincaré disks [plural]
Etymology: After Henri Poincaré. Head templates: {{en-noun}} Poincaré disk (plural Poincaré disks)
  1. The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines. Categories (topical): Circle, Shapes Synonyms: Poincaré disc Translations (hyperbolic plane): Poincarén kiekko (Finnish), disco de Poincaré [masculine] (Spanish)

Inflected forms

Alternative forms

Download JSONL data for Poincaré disk meaning in All languages combined (2.2kB)

{
  "etymology_text": "After Henri Poincaré.",
  "forms": [
    {
      "form": "Poincaré disks",
      "tags": [
        "plural"
      ]
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  ],
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      "args": {},
      "expansion": "Poincaré disk (plural Poincaré disks)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Circle",
          "orig": "en:Circle",
          "parents": [
            "Curves",
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
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          "name": "Non-Euclidean geometry",
          "orig": "en:Non-Euclidean geometry",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Shapes",
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          "parents": [
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            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines."
      ],
      "id": "en-Poincaré_disk-en-noun-9vySU5uO",
      "links": [
        [
          "hyperbolic plane",
          "hyperbolic plane"
        ],
        [
          "Euclidean",
          "Euclidean"
        ],
        [
          "line",
          "line"
        ],
        [
          "perpendicular",
          "perpendicular"
        ]
      ],
      "synonyms": [
        {
          "word": "Poincaré disc"
        }
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "hyperbolic plane",
          "word": "Poincarén kiekko"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "hyperbolic plane",
          "tags": [
            "masculine"
          ],
          "word": "disco de Poincaré"
        }
      ]
    }
  ],
  "word": "Poincaré disk"
}
{
  "etymology_text": "After Henri Poincaré.",
  "forms": [
    {
      "form": "Poincaré disks",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "Poincaré disk (plural Poincaré disks)",
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  "pos": "noun",
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        "English terms spelled with É",
        "English terms spelled with ◌́",
        "English terms with non-redundant non-automated sortkeys",
        "Terms with Finnish translations",
        "Terms with Spanish translations",
        "en:Circle",
        "en:Non-Euclidean geometry",
        "en:Shapes"
      ],
      "glosses": [
        "The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines."
      ],
      "links": [
        [
          "hyperbolic plane",
          "hyperbolic plane"
        ],
        [
          "Euclidean",
          "Euclidean"
        ],
        [
          "line",
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        ],
        [
          "perpendicular",
          "perpendicular"
        ]
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Poincaré disc"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "hyperbolic plane",
      "word": "Poincarén kiekko"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "hyperbolic plane",
      "tags": [
        "masculine"
      ],
      "word": "disco de Poincaré"
    }
  ],
  "word": "Poincaré disk"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-07-01 from the enwiktionary dump dated 2024-06-20 using wiktextract (e79c026 and b863ecc). 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.