In the battle of Mosskirch the Austrians lost in killed, wounded, and prisoners, about five thousand men; the French, about three thousand. In this battle both sides fought fiercely, but neither gained a decided success. Nevertheless, Kray saw the necessity of retreating; for St. Cyr, who had taken no part in the battle, was now about to join Moreau; and Ste. Suzanne was pushing rapidly forward towards Mosskirch by way of Tuttlingen. In other words, Kray, with less than fifty thousand men, could not expect to hold his own in a second battle at Mosskirch against the united French corps. Kray crossed the Danube at Sigmaringen, and, being joined by the two corps of his right wing, retired towards Ulm by way of Rietlingen and Biberach. He was followed by Moreau. Lecourbe marched by way of Memmingen, St. Cyr by way of Biberach, and Ste. Suzanne descended the Danube towards Ulm. At Biberach Kray attempted to make a stand, in order to save the Austrian magazines there, but was defeated with considerable loss. Lecourbe also defeated an Austrian garrison occupying Memmingen, and captured the place. On the 11th of May Kray continued his retreat on Ulm, which, through the foresight of the Archduke Charles in the preceding year, had been converted into a strongly intrenched camp. At Ulm Kray sought and found safety for his army. Here he collected the shattered remains of his defeated forces, and for several weeks made a successful stand against Moreau. Here, eyeing each other with suspicion, these two armies remained for a time, each ready to take advantage of any false movement of the other, while more stirring operations and greater deeds were happening in the valley of the Po. It is difficult to estimate accurately the losses sustained by the contending armies in these operations. Probably the loss of the Austrians was about twenty thousand men; that of the French, about fifteen thousand. At the opening of hostilities, Kray's forces, not counting the left wing under the Prince de Reuss, since it took no part in the active operations, numbered ninety-five thousand men. At Ulm Kray had seventy-five thousand. On the other hand, Moreau had crossed the Rhine with one hundred and four thousand soldiers, and had reached Ulm with nearly ninety thousand; but he was about to send fifteen thousand men into Italy, which would leave the opposing armies about equal in numbers. The time had arrived for the commander of the Army of the Rhine to carry out the agreement entered into between himself and the First Consul. In fact, since the battle of Engen, Bonaparte had awaited anxiously for Moreau to start the promised re-enforcements towards Italy. Fearing that Moreau might still delay in the matter, the First Consul had sent Carnot, the French minister of war, to Moreau's headquarters, in order to make the necessary arrangements, and to insist that the troops should be detached and ordered forward at the earliest possible moment.