"arithmetic spiral" meaning in All languages combined

See arithmetic spiral on Wiktionary

Noun [English]

Forms: arithmetic spirals [plural]
Etymology: It is a spiral whose equation in polar coordinates is linear, which would thus, when quantized, yield an arithmetic progression. Head templates: {{en-noun}} arithmetic spiral (plural arithmetic spirals)
  1. (mathematics) A spiral that increases in distance from the point of origin at a constant rate. Categories (topical): Curves, Mathematics Synonyms: Archimedean spiral, spiral of Archimedes

Inflected forms

Download JSON data for arithmetic spiral meaning in All languages combined (2.1kB)

{
  "etymology_text": "It is a spiral whose equation in polar coordinates is linear, which would thus, when quantized, yield an arithmetic progression.",
  "forms": [
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      "form": "arithmetic spirals",
      "tags": [
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      "expansion": "arithmetic spiral (plural arithmetic spirals)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
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        {
          "text": "The Parker spiral is the shape of the Sun's magnetic field as it extends through the solar system. Unlike the familiar shape of the field from a bar magnet, the Sun's extended field is twisted into an arithmetic spiral by the magnetohydrodynamic influence of the solar wind.",
          "type": "example"
        }
      ],
      "glosses": [
        "A spiral that increases in distance from the point of origin at a constant rate."
      ],
      "id": "en-arithmetic_spiral-en-noun-~spf13Q9",
      "links": [
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      "raw_glosses": [
        "(mathematics) A spiral that increases in distance from the point of origin at a constant rate."
      ],
      "synonyms": [
        {
          "word": "Archimedean spiral"
        },
        {
          "word": "spiral of Archimedes"
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      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "arithmetic spiral"
}
{
  "etymology_text": "It is a spiral whose equation in polar coordinates is linear, which would thus, when quantized, yield an arithmetic progression.",
  "forms": [
    {
      "form": "arithmetic spirals",
      "tags": [
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        }
      ],
      "glosses": [
        "A spiral that increases in distance from the point of origin at a constant rate."
      ],
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        "(mathematics) A spiral that increases in distance from the point of origin at a constant rate."
      ],
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  ],
  "synonyms": [
    {
      "word": "Archimedean spiral"
    },
    {
      "word": "spiral of Archimedes"
    }
  ],
  "word": "arithmetic spiral"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.