What an Aliquot Part Is, and a Non-aliquot Part

We must note that the Mathematicians name an Aliquot part that quantity which, taken as many times as it can be in any greater quantity, renders exactly the whole of its total: whence the Binary is called an aliquot part of the Senary, since, taken three times, it renders exactly its whole, which is 6. This, by Campanus [of Novara], is called a Multiplicative part, because it entirely numbers and measures its Whole.

The Non-aliquot part, then, we call that which, taken as many times as it can be, does not render exactly its whole, but rather renders more or less; just as the Binary is called a non-aliquot part of 5, since, taken twice, it renders 4, and taken three times, it renders 6. Whence such a part is, by the same Campanus, named Aggregative; for, added to another quantity, it renders its whole, just as 4 added to unity renders 5. And this is called a “part” not properly, but indeed improperly.