At five or soon after, two brigades of Alten’s 3d British division arrived, and gave Wellington an equality, perhaps even a slight superiority in force. Ney, on the other hand, had not been reinforced either by d’Erlon or by Kellermann’s two divisions of cavalry, all which troops had been placed at his disposal by the Emperor, and all which he had been, by the last order which he had received from Marshal Soult, expressly directed to employ in the movement upon Quatre Bras. That is to say, as late as five o’clock, when the battle had been in progress for three hours, Ney had not got his command together, had not, in fact, assembled one-half of it on the field. Where were these missing troops? (See Map 7.) Take, first, the case of the 1st Corps. We have seen that the division of the 2d Corps, which was the last to arrive, arrived on the field of battle at or shortly before 3 P.M. Quatre Bras is distant from Frasnes about two miles and a half, and the field of battle, therefore, was about two miles beyond Frasnes. Since Jerome arrived on the field at 3 o’clock, he must have left Frasnes about or soon after 2 o’clock. If Durutte, who commanded the leading division of the 1st Corps, had followed Jerome promptly from Jumet, which is not over a mile and a half to the south of Gosselies, he would have reached Frasnes before 3 o’clock. The other two divisions, which were ordered to Frasnes, should have arrived certainly in the course of the next hour and a half; so that by 4 or 4.30 P.M. Ney should have had the three divisions of the 1st Corps which he had ordered to Frasnes, ready for use there.