Brune defeated the Austrians on the Mincio, and advanced within a few miles of Venice.

Macdonald occupied the mountains of the Tyrol, and was prepared to reinforce either the army of Italy or that of the Rhine, as might be desired.

Moreau, finally, advanced into the heart of Germany, and was met by the Archduke John of Austria, who obtained considerable advantages in an affair at Haag.

The Archduke, elated by this success, determined on a general engagement, and appeared in front of the French on the evening of the 2nd December, at Hohenlinden, between the Inn and the Iser.[40] At seven, on the morning of the 3rd, the conflict began.
The deep snow had obliterated the tracks of roads; several Austrian columns were bewildered; and either came not at all into their positions, or came too late.

Yet the battle was obstinate and severe: 10,000 Imperialists were left dead on the field: and Moreau, improving his success, marched on immediately, and occupied Salzburg.
The Austrian capital now lay exposed to the march of three victorious armies; and the Emperor was at last compelled to release himself from his English obligations, and negotiate in sincerity for a separate peace.