See trisection point on Wiktionary
{ "forms": [ { "form": "trisection points", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "trisection point (plural trisection points)", "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": "Entries with translation boxes", "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": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "text": "The centroid of a triangle is, by definition, the point of intersection of the three medians: moreover, it is a trisection point of each of the medians.", "type": "example" }, { "text": "1959 [Doubleday], William R. Gondin, Bernard Sohmer, Intermediate Algebra & Analytic Geometry Made Simple, 1967, W. H. Allen, page 147,\nFind the trisection points of the line P_4P_5 in the same diagram." }, { "text": "1965, Paul A. White, Vector Analytic Geometry, Dickenson Publishing Company, page 73,\nIn triangle ABC, let E be the midpoint of BC and D the trisection point of AC nearest C." }, { "text": "1998, Paul J. Nahin, An Imaginary Tale: The Story of √, Princeton University Press, 2010, paperback, page 88,\nAnd if λ=2, then P is a trisection point of P_1P_2 and\nz=(z_1+2z_2)/3.\nNotice that this trisection point is closer to P_2 than it is to P_1. The other trisection point, the one that is closer to P_1 than it is to P_2, occurs for λ= tfrac 1 2, which gives\nz=(2z_1+z_2)/3." } ], "glosses": [ "Either of two points which trisect a given line segment." ], "id": "en-trisection_point-en-noun-P-vI1gSM", "links": [ [ "geometry", "geometry" ], [ "point", "point" ], [ "trisect", "trisect" ], [ "line segment", "line segment" ] ], "raw_glosses": [ "(geometry) Either of two points which trisect a given line segment." ], "related": [ { "word": "trisector" } ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "trisection point" }
{ "forms": [ { "form": "trisection points", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "trisection point (plural trisection points)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "trisector" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with usage examples", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "en:Geometry" ], "examples": [ { "text": "The centroid of a triangle is, by definition, the point of intersection of the three medians: moreover, it is a trisection point of each of the medians.", "type": "example" }, { "text": "1959 [Doubleday], William R. Gondin, Bernard Sohmer, Intermediate Algebra & Analytic Geometry Made Simple, 1967, W. H. Allen, page 147,\nFind the trisection points of the line P_4P_5 in the same diagram." }, { "text": "1965, Paul A. White, Vector Analytic Geometry, Dickenson Publishing Company, page 73,\nIn triangle ABC, let E be the midpoint of BC and D the trisection point of AC nearest C." }, { "text": "1998, Paul J. Nahin, An Imaginary Tale: The Story of √, Princeton University Press, 2010, paperback, page 88,\nAnd if λ=2, then P is a trisection point of P_1P_2 and\nz=(z_1+2z_2)/3.\nNotice that this trisection point is closer to P_2 than it is to P_1. The other trisection point, the one that is closer to P_1 than it is to P_2, occurs for λ= tfrac 1 2, which gives\nz=(2z_1+z_2)/3." } ], "glosses": [ "Either of two points which trisect a given line segment." ], "links": [ [ "geometry", "geometry" ], [ "point", "point" ], [ "trisect", "trisect" ], [ "line segment", "line segment" ] ], "raw_glosses": [ "(geometry) Either of two points which trisect a given line segment." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "trisection point" }
Download raw JSONL data for trisection point meaning in All languages combined (1.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.