"lemniscate of Bernoulli" meaning in All languages combined

See lemniscate of Bernoulli on Wiktionary

Noun [English]

Forms: lemniscates of Bernoulli [plural]
Etymology: From the name of Swiss mathematician Jakob Bernoulli. Head templates: {{en-noun|lemniscates of Bernoulli|head=lemniscate of Bernoulli}} lemniscate of Bernoulli (plural lemniscates of Bernoulli)
  1. (mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²). Wikipedia link: lemniscate of Bernoulli Translations (Translations): lemniscate de Bernoulli [feminine] (French), lemniscata de Bernoulli [feminine] (Portuguese), lemniscata de Bernoulli [feminine] (Spanish)

Inflected forms

{
  "etymology_text": "From the name of Swiss mathematician Jakob Bernoulli.",
  "forms": [
    {
      "form": "lemniscates of Bernoulli",
      "tags": [
        "plural"
      ]
    }
  ],
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      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
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        },
        {
          "kind": "other",
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        {
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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        }
      ],
      "glosses": [
        "Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²)."
      ],
      "id": "en-lemniscate_of_Bernoulli-en-noun-H9jpQJsm",
      "links": [
        [
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        [
          "curve",
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        ],
        [
          "Cartesian",
          "Cartesian"
        ],
        [
          "equation",
          "equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "lemniscate de Bernoulli"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "lemniscata de Bernoulli"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "lemniscata de Bernoulli"
        }
      ],
      "wikipedia": [
        "lemniscate of Bernoulli"
      ]
    }
  ],
  "word": "lemniscate of Bernoulli"
}
{
  "etymology_text": "From the name of Swiss mathematician Jakob Bernoulli.",
  "forms": [
    {
      "form": "lemniscates of Bernoulli",
      "tags": [
        "plural"
      ]
    }
  ],
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      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English entries with incorrect language header",
        "English eponyms",
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        "English multiword terms",
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        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with French translations",
        "Terms with Portuguese translations",
        "Terms with Spanish translations",
        "Translation table header lacks gloss",
        "en:Curves",
        "en:Mathematics"
      ],
      "glosses": [
        "Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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        ],
        [
          "Cartesian",
          "Cartesian"
        ],
        [
          "equation",
          "equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "lemniscate of Bernoulli"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "lemniscate de Bernoulli"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "lemniscata de Bernoulli"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "lemniscata de Bernoulli"
    }
  ],
  "word": "lemniscate of Bernoulli"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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.