"shoelace formula" meaning in English

See shoelace formula in All languages combined, or Wiktionary

Proper name

Forms: the shoelace formula [canonical]
Etymology: So called because the constant cross-multiplying for the coordinates making up the polygon is analogous to the threading of shoelaces. Head templates: {{en-prop|head=the shoelace formula}} the shoelace formula
  1. (mathematics) An algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. Categories (topical): Mathematics Synonyms: Gauss's area formula, surveyor's formula
    Sense id: en-shoelace_formula-en-name-Wl2Rbfts Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Download JSON data for shoelace formula meaning in English (1.4kB)

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  "etymology_text": "So called because the constant cross-multiplying for the coordinates making up the polygon is analogous to the threading of shoelaces.",
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      "glosses": [
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      "raw_glosses": [
        "(mathematics) An algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane."
      ],
      "synonyms": [
        {
          "word": "Gauss's area formula"
        },
        {
          "word": "surveyor's formula"
        }
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  "word": "shoelace formula"
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{
  "etymology_text": "So called because the constant cross-multiplying for the coordinates making up the polygon is analogous to the threading of shoelaces.",
  "forms": [
    {
      "form": "the shoelace formula",
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      "glosses": [
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        "(mathematics) An algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane."
      ],
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          "word": "Gauss's area formula"
        },
        {
          "word": "surveyor's formula"
        }
      ],
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        "sciences"
      ]
    }
  ],
  "word": "shoelace formula"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.