Yet, despite the ravages of typhus, the falling away of the German States and the assaults of the allied horse, the retreating host struggled stoutly on towards the Rhine. At Hanau it swept aside an army of Bavarians and Austrians that sought to bar the road to France; and, early in November, 40,000 armed men, with a larger number of unarmed stragglers, filed across the bridge at Mainz. Napoleon had not only lost Germany; he left behind in its fortresses as many as 190,000 troops, of whom nearly all were French; and of the 1,300 cannon with which he began the second part of the campaign, scarce 200 were now at hand for the defence of his Empire. The causes of this immense disaster are not far to seek. They were both political and military. In staking all on the possession of the line of the Elbe, Napoleon was engulfing himself in a hostile land. At the first signs of his overthrow, the national spirit of Germany was certain to inflame the Franconians and Westphalians in his rear, and imperil his communications. In regard to strategy, he committed the same blunder as that perpetrated by Mack in 1805. He trusted to a river line that could easily be turned by his foes. As soon as Austria declared against him, his position on the Elbe was fully as perilous as Mack's lines of the Iller at Ulm. And yet, in spite of the obvious danger from the great mountain bastion of Bohemia that stretched far away in his rear, the Emperor kept his troops spread out from Königstein to Hamburg, and ventured on long and wearying marches into Silesia, and north to Düben, which left his positions in Saxony almost at the mercy of the allied Grand Army.[384] By emerging from the mighty barrier of the Erzgebirge, that army compelled him three times to give up his offensive moves and hastily to fall back into the heart of Saxony. The plain truth is that he was out-generalled by the allies. The assertion may seem to savour of profanity. Yet, if words have any meaning, the phrase is literally correct. His aim was primarily to maintain himself on the line of the Elbe, but also, though in the second place, to keep up his communication with France. Their aim was to leave him the Elbe line, but to cut him off from France. Even at the outset they planned to strike at Leipzig: their attack on Dresden was an afterthought, timidly and slowly carried out. As long, however, as their Grand Army clung to the Erz mountains, they paralyzed his movements to the east and north, which merely played into their hands.