Aliquot Quotes

Let as many Numbers, as you please, be proposed to be Combined: Suppose Five, which we will call a b c d e. Put, in so many Lines, Numbers, in duple proportion, beginning with 1. The Sum (31) is the Number of Sumptions, or Elections; wherein, one or more of them, may several ways be taken. Hence subduct (5) the Number of the Numbers proposed; because each of them may once be taken singly. And the Remainder (26) shews how many ways they may be taken in Combination; (namely, Two or more at once.) And, consequently, how many Products may be had by the Multiplication of any two or more of them so taken. But the same Sum (31) without such Subduction, shews how many Aliquot Parts there are in the greatest of those Products, (that is, in the Number made by the continual Multiplication of all the Numbers proposed,) a b c d e. (John Wallis)

All is more or less proper to serve as a common measure, in proportion as it is more or less in general use, of a more similar quality, and more easy to be divided into aliquot parts.

Anne Robert Jacques Turgot

All is more or less proper to serve as a common measure, in proportion as it is more or less in general use, of a more similar quality, and more easy to be divided into aliquot parts. All is more or less applicable for the purpose of a general pledge of exchange, in proportion as it is less susceptible of decay or alteration in quantity or quality.

Anne Robert Jacques Turgot