Now, since, as A is to B, so is C to D,
and of A, C equimultiples M, G have been taken, and of B, D other, chance, equimultiples N, K,
therefore, if M is in excess of N, G is also in excess of K,
if equal, equal, and if less, less. [V. Def. 5]
But G is in excess of K;
therefore M is also in excess of N.
But H is not in excess of L;
and M, H are equimultiples of A, E, and N, L other, chance, equimultiples of B, F;
therefore A has to B a greater ratio than E has to F. [V. Def. 7]