"Petersen-Morley theorem" meaning in English

See Petersen-Morley theorem in All languages combined, or Wiktionary

Proper name

Forms: the Petersen-Morley theorem [canonical]
Etymology: Named after Johannes Trolle Petersen (later Johannes Hjelmslev) and Frank Morley. Head templates: {{en-prop|def=1}} the Petersen-Morley theorem
  1. (geometry) A theorem stating that, if a, b, c are three general skew lines in space, if a′, b′, c′ are the lines of shortest distance respectively for the pairs (b,c), (c,a) and (a,b), and if p, q and r are the lines of shortest distance respectively for the pairs (a,a′), (b,b′) and (c,c′), then there is a single line meeting at right angles all of p, q, and r. Wikipedia link: Johannes Hjelmslev Categories (topical): Geometry

Download JSON data for Petersen-Morley theorem meaning in English (2.1kB)

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        "A theorem stating that, if a, b, c are three general skew lines in space, if a′, b′, c′ are the lines of shortest distance respectively for the pairs (b,c), (c,a) and (a,b), and if p, q and r are the lines of shortest distance respectively for the pairs (a,a′), (b,b′) and (c,c′), then there is a single line meeting at right angles all of p, q, and r."
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        "(geometry) A theorem stating that, if a, b, c are three general skew lines in space, if a′, b′, c′ are the lines of shortest distance respectively for the pairs (b,c), (c,a) and (a,b), and if p, q and r are the lines of shortest distance respectively for the pairs (a,a′), (b,b′) and (c,c′), then there is a single line meeting at right angles all of p, q, and r."
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{
  "etymology_text": "Named after Johannes Trolle Petersen (later Johannes Hjelmslev) and Frank Morley.",
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      ],
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      "wikipedia": [
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  "word": "Petersen-Morley theorem"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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