最終更新日:2022/12/24

{{RQ:Barrow Mathematical Learning|chapter=Lecture XVII. Of the Names and Diversities of the Twofold Kind of Reason or Proportion, viz. Arithmetical and Geometrical|pages=323–324|pageref=324|passage=[I]f two Quantities repreſented by the Numbers 20 and 4 be compared, by dividing the Antecedent 20 by the Conſequent 4, the Quotient is 5; but inverting the Terms, by dividing 4 by 20 the Quotient is tfrac 4 20= tfrac 1 5. By which Quotients are declared the Geometrical Reaſons of the propoſed Quantities, becauſe if the Quotient found be multiplied by the Conſequent, the Product is equal to the Antecedent; for in the former Compariſon 5⨯4=20, in the latter tfrac 1 5⨯20=4; as Things again are referred to Equality.}}

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