 Fought at the junction of the east @-@ west and north @-@ south roads on the eastern side of the Black Forest , the day @-@ long battle at Stockach and Engen pitted the two armies against each other for the second time in seven days . The Austrians still had the numerical superiority , but this time it was closer to two @-@ to @-@ one , instead of almost three @-@ to @-@ one . Jourdan had consolidated his force over a shorter line , and had the full Army of the Danube under his direct command . Charles , likewise , had shortened his line ; although Hotze had not yet caught up with the archduke , he and his 10 @,@ 000 men were approaching from the Austrians ' left rear . 
