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sesquialterate

From Wiktionary, the free dictionary

English

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Alternative forms

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Etymology

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From Latin sesquialter (one and a half times) +‎ -ate (adjective-forming suffix), from sesqui- (a half and a) +‎ alter (another, a second).

Pronunciation

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  • IPA(key): /sɛskwɪˈaltərət/

Adjective

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sesquialterate (not comparable)

  1. (mathematics, archaic) In a ratio of 3 to 2 or 1½ times to 1.
    Synonyms: sesquialteral, sesquialter, sesquialteran, sescuple
    • 1818, Iamblichus, translated by Thomas Taylor, Life of Pythagoras[1], page 328:
      [] the ratio of 3 to 2, which is sesquialter, forms the symphony diapente []
    • 1859, Frances Power Cobbe, An Essay on Intuitive Morals: Being an Attempt to Popularize Ethical Science, page 84:
      People ignorant of geometry did not know the sesquialterate ratio of the sphere, cylinder, and cone, and therefor no man could know it []
    • 1888, Sir Isaac Newton, Portsmouth Collection of Books and Papers Written or Belonging to Sir Isaac Newton (page xviii)
      from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced []
    9 and 6 are in a sesquialterate ratio.
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Translations

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References

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