Therefore, if M

m is, then M

m

M

is; that is, if M

x080

be of a greater multiple than O

is a greater multiple of than

be greater than mo, then

will be greater than mo; in the same manner

PROP. D. THEO.

If the first be to the second as the third to the fourth, and if the first be a multiple, or a part of the second; the third is the same multiple, or the same part of the fourth.

and of the second and fourth, we have taken equimultiples,

PROP. VII. THEO.

Equal magnitudes have the same ratio to the same magnitude, and the same has the same ratio to equal magnitudes.