"harmonic division" meaning in All languages combined

See harmonic division on Wiktionary

Noun [English]

Forms: harmonic divisions [plural]
Head templates: {{en-noun}} harmonic division (plural harmonic divisions)
  1. (mathematics, geometry) The configuration of four ordered collinear points such that their cross-ratio is -1. Categories (topical): Geometry, Mathematics
    Sense id: en-harmonic_division-en-noun-WT~K0AIu Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

Inflected forms

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      ],
      "glosses": [
        "The configuration of four ordered collinear points such that their cross-ratio is -1."
      ],
      "id": "en-harmonic_division-en-noun-WT~K0AIu",
      "links": [
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        ],
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          "configuration",
          "configuration"
        ],
        [
          "four",
          "four"
        ],
        [
          "ordered",
          "ordered"
        ],
        [
          "collinear",
          "collinear"
        ],
        [
          "point",
          "point"
        ],
        [
          "cross-ratio",
          "cross-ratio"
        ]
      ],
      "raw_glosses": [
        "(mathematics, geometry) The configuration of four ordered collinear points such that their cross-ratio is -1."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
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        "en:Geometry",
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        "The configuration of four ordered collinear points such that their cross-ratio is -1."
      ],
      "links": [
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          "geometry",
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          "cross-ratio",
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        "(mathematics, geometry) The configuration of four ordered collinear points such that their cross-ratio is -1."
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Download raw JSONL data for harmonic division meaning in All languages combined (1.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.