Is “Quadrature” a Scrabble word?

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Yes
QUADRATURE
Valid in at least one Scrabble dictionary

Valid in these dictionaries

SOWPODS / CSW
Scrabble UK & International
Valid
TWL / NWL
Scrabble North America
Valid
Large English Dictionary
General English word list
Valid

Meaning of Quadrature

/-t͡ʃə(ɹ)/

noun
  1. 1.The process of making something square; squaring.

  2. 2.The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.

  3. 3.(numerical analysis) The calculation of a definite integral by numerical means.