"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
    Sense id: en-Petersen-Morley_theorem-en-name-pzfY7Dnu Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences
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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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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). 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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