See biangle in All languages combined, or Wiktionary
{ "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" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.
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