"spherical excess" meaning in All languages combined

See spherical excess on Wiktionary

Noun [English]

Head templates: {{en-noun|?}} spherical excess
  1. (geometry) The amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle.
    Sense id: en-spherical_excess-en-noun-ICCLNm56 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Geometry Topics: geometry, mathematics, sciences
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        "The amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle."
      ],
      "id": "en-spherical_excess-en-noun-ICCLNm56",
      "links": [
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          "geometry",
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        [
          "sum",
          "sum"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "spherical triangle",
          "spherical triangle"
        ],
        [
          "right angle",
          "right angle"
        ],
        [
          "proportional",
          "proportional"
        ],
        [
          "area",
          "area"
        ],
        [
          "triangle",
          "triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) The amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
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        "The amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle."
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          "area",
          "area"
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        "(geometry) The amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle."
      ],
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        "geometry",
        "mathematics",
        "sciences"
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Download raw JSONL data for spherical excess meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-05 from the enwiktionary dump dated 2025-06-01 using wiktextract (5ee713e 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.