Definition:Divisor/Part

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Definition

A more old-fashioned term for divisor is part:

As Euclid defined it:

A magnitude is a part of a magnitude, the less of the greater, when it measures the greater.

(The Elements: Book V: Definition $1$)

... and again:

A number is a part of a number, the less of the greater, when it measures the greater;

(The Elements: Book VII: Definition $3$)


The alert student will notice the circular definition: a part is defined in terms of measuring another quantity, and measurement is defined in terms of divisors, that is, parts.

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