MULTIPLE

, Multiplex, a number which com- prehends some other number several times. Thus, 6 is a Multiple of 2, this being contained in 6 just 3 times. Also 12 is a common Multiple of 6, 4, and 3; comprehending the first twice, the second thrice, and the third four times.

Multiple Ratio or Proportion, is that which is between Multiple numbers &c. If the less term of a ratio be an aliquot part of the greater, the ratio of the greater to the less is called Multiple; and that of the less to the greater Submultiple.

A Submultiple number, is that which is contained in the Multiple. Thus, the numbers 2, 3, and 4 are Submultiples of 12 and 24.

Duple, triple, &c ratios; as also subduples, subtriples, &c, are so many species of Multiple and Submultiple ratios.

Multiple Superparticular Proportion, is when one number or quantity contains another more than once, and a certain aliquot part; as 10 to 3, or 3 1/3 to 1.

Multiple Superpartient Proportion, is when one number or quantity contains another several times, and some parts besides; as 29 to 6, or 4 5/6 to 1.