"biangle" meaning in English

{
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    {
      "args": {
        "1": "en",
        "2": "bi-",
        "3": "angle"
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      "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"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Polygons",
          "orig": "en:Polygons",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "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": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "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"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
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        "English terms with quotations",
        "en:Polygons",
        "en:Shapes in non-Euclidean geometry",
        "en:Sphere"
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      "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": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "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"
}