then

a + c + e : b + d + f = a : b.

Prop. 13. If

a : b = c : d and c : d > e : f,

then

a : b > e : f.

Prop. 14. If

a : b = c : d, and a > c, then b > d.

Prop. 15. Magnitudes have the same ratio to one another that their equimultiples have—

ma : mb = a : b.