"biangle" meaning in All languages combined

See biangle on Wiktionary

Noun [English]

IPA: /ˈbaɪˌæŋɡəl/ Forms: biangles [plural]
Etymology: From bi- + angle. Etymology templates: {{af|en|bi-|angle}} bi- + angle Head templates: {{en-noun}} biangle (plural biangles)
  1. A digon or bigon; a two-sided shape (especially in non-Euclidean geometry) Categories (topical): Polygons Synonyms: digon, bigon, diangle

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi-",
        "3": "angle"
      },
      "expansion": "bi- + angle",
      "name": "af"
    }
  ],
  "etymology_text": "From bi- + angle.",
  "forms": [
    {
      "form": "biangles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biangle (plural biangles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Polygons",
          "orig": "en:Polygons",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Shapes in non-Euclidean geometry",
          "orig": "en:Shapes in non-Euclidean geometry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Sphere",
          "orig": "en:Sphere",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1895, W. Burnside, “Kinematics of Non-Euclidean Space”, in Proceedings of the Edinburgh Mathematical Society, page 46:",
          "text": "If n planes be drawn through any axis of the right-vector, each of which makes angles π/n with the planes on either side of it, the whole of space is divided into n congruent figures which may be called biangles, the space between any two adjacent planes being easily seen to be continuous with the vertically opposite space between them.",
          "type": "quote"
        },
        {
          "ref": "1912, Proceedings of the Edinburgh Mathematical Society, volumes 30-32, Scottish Academic Press, page 35:",
          "text": "Then the right biangle CABD and the oblique biangle CPND are equivalent since the triangles API and BNI are congruent.",
          "type": "quote"
        },
        {
          "ref": "2012 December 6, Gerold Prauss, “Kant and the Straight Biangle”, in Enno Rudolph, Ion-Olimpiu Stamatescu, editors, Philosophy, Mathematics and Modern Physics: A Dialogue, page 228:",
          "text": "It is therefore natural to consider whether precisely this concept of a straight line, with which Kant¹¹ too was familiar, is the reason why Kant in the one passage says that the concept of a straight biangle is free of contradiction.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A digon or bigon; a two-sided shape (especially in non-Euclidean geometry)"
      ],
      "id": "en-biangle-en-noun-4~QU0cuC",
      "links": [
        [
          "digon",
          "digon"
        ],
        [
          "bigon",
          "bigon"
        ],
        [
          "two",
          "two"
        ],
        [
          "sided",
          "sided"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "non-Euclidean geometry",
          "non-Euclidean geometry#English"
        ]
      ],
      "synonyms": [
        {
          "word": "digon"
        },
        {
          "word": "bigon"
        },
        {
          "word": "diangle"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈbaɪˌæŋɡəl/"
    }
  ],
  "word": "biangle"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi-",
        "3": "angle"
      },
      "expansion": "bi- + angle",
      "name": "af"
    }
  ],
  "etymology_text": "From bi- + angle.",
  "forms": [
    {
      "form": "biangles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biangle (plural biangles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with bi-",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Polygons",
        "en:Shapes in non-Euclidean geometry",
        "en:Sphere"
      ],
      "examples": [
        {
          "ref": "1895, W. Burnside, “Kinematics of Non-Euclidean Space”, in Proceedings of the Edinburgh Mathematical Society, page 46:",
          "text": "If n planes be drawn through any axis of the right-vector, each of which makes angles π/n with the planes on either side of it, the whole of space is divided into n congruent figures which may be called biangles, the space between any two adjacent planes being easily seen to be continuous with the vertically opposite space between them.",
          "type": "quote"
        },
        {
          "ref": "1912, Proceedings of the Edinburgh Mathematical Society, volumes 30-32, Scottish Academic Press, page 35:",
          "text": "Then the right biangle CABD and the oblique biangle CPND are equivalent since the triangles API and BNI are congruent.",
          "type": "quote"
        },
        {
          "ref": "2012 December 6, Gerold Prauss, “Kant and the Straight Biangle”, in Enno Rudolph, Ion-Olimpiu Stamatescu, editors, Philosophy, Mathematics and Modern Physics: A Dialogue, page 228:",
          "text": "It is therefore natural to consider whether precisely this concept of a straight line, with which Kant¹¹ too was familiar, is the reason why Kant in the one passage says that the concept of a straight biangle is free of contradiction.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A digon or bigon; a two-sided shape (especially in non-Euclidean geometry)"
      ],
      "links": [
        [
          "digon",
          "digon"
        ],
        [
          "bigon",
          "bigon"
        ],
        [
          "two",
          "two"
        ],
        [
          "sided",
          "sided"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "non-Euclidean geometry",
          "non-Euclidean geometry#English"
        ]
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈbaɪˌæŋɡəl/"
    }
  ],
  "synonyms": [
    {
      "word": "digon"
    },
    {
      "word": "bigon"
    },
    {
      "word": "diangle"
    }
  ],
  "word": "biangle"
}

Download raw JSONL data for biangle meaning in All languages combined (2.3kB)


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.