Which battle is known as Napoleon's triumph over Russia and Austria in 1805?

The Battle of Austerlitz, fought on December 2, 1805, is renowned as one of Napoleon's most significant victories, often referred to as the Battle of the Three Emperors. In this battle, Napoleon's forces achieved a decisive triumph against the combined armies of Russia and Austria, effectively cementing his dominance over Europe.

Austerlitz showcased Napoleon's exceptional military strategy and ability to outmaneuver larger opposing forces. By luring the Allied troops into a vulnerable position, he was able to capitalize on the terrain and the composition of his own troops, leading to a rout of the enemy. The victory had profound implications, including the dissolution of the Third Coalition against France and the establishment of French hegemony in Europe for several years.

In contrast, the other options reflect different historical battles that do not pertain to this specific conflict. The Battle of Waterloo marked Napoleon's final defeat in 1815, the Battle of Leipzig, also known as the Battle of Nations, was a significant defeat for him in 1813, and the Battle of Borodino occurred in 1812 during the French invasion of Russia, representing a costly engagement without a clear victory for Napoleon.