The allies had, however, sixty pieces of cannon against fifty of the Imperialists.
The allies advanced to Freiburg and offered battle, but the Archduke Leopold, who commanded the Imperialists, declined to come out of the great intrenchments he had thrown up round his camp.
Turenne then marched towards the Maine, and, halting ten leagues from Mayence, sent for the infantry, of which he had left a portion there, to join him.

The whole force of the allies was now united, and took many towns.

As, however, they were still inferior in force to the Imperialists, Turenne refused to weaken himself by placing garrisons in these places, contenting himself with blowing up the fortifications of some and carrying off the principal inhabitants of others as hostages.
The Imperialist army still remained inactive, and Turenne was able therefore to turn his attention to Bavaria.

Crossing the Rhine at Donauwurth he besieged Augsburg and Rain.

The latter place was captured, but the former, being reinforced by fifteen hundred men, held out stoutly, and it was necessary to open trenches and proceed in regular form against it.