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单词 sesquiplicate
释义

sesquiplicate

English

Etymology

Surface form sesqui- (one and a half) + plicate (fold); by analogy with duplicate.

Adjective

sesquiplicate (not comparable)

  1. Magnified by one and one-half; in a ratio of three to two.
  • sesquialteral, sesquialterate: sesquialteral ratio = ratio of 3 to 2
  • sesquiplicate proportion
  • sesquiplicate ratio
  • subsesquiplicate: subsesquiplicate ratio = 2/3rd power of the ratio

Coordinate terms

  • duplicate – two times
  • triplicate – three times

See also

  • half again

Quotations

1729: And all astronomers agree that their periodic orbits are in the sesquiplicate proportion of the semi-diameters of their orbits; and so it manifestly appears from the following table. Andrew Motte, translating Isaac Newton's Philosophiae Naturalis Principia Mathematica

Note: "in the sesquiplicate proportion" (ratio) means increasing as the square root of the cube, that is, as x3/2, just as "in the duplicate ratio" would mean increasing as the square.
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