The main strategic idea involved the French Navy escaping from the British blockades of Toulon and Brest and threatening to attack the West Indies. In the face of this attack, it was hoped, the British would weaken their defense of the Western Approaches by sending ships to the Caribbean, allowing a combined Franco-Spanish fleet to take control of the channel long enough for French armies to cross and invade.
However, the plan unraveled after the British victory at the Battle of Cape Finisterre in July 1805. French Admiral Villeneuve then retreated to Cádiz instead of linking up with French naval forces at Brest for an attack on the English Channel.
Muhammad Ali's first military campaign was an expedition into the Arabian Peninsula. The holy cities of Mecca and Medina had been captured by the House of Saud, who had recently embraced a literalist Hanbali interpretation of Islam. Armed with their newfound religious zeal, the Saudis began conquering parts of Arabia. This culminated in the capture of the Hejaz region by 1805.
Austrian commander Karl Mack had gathered the greater part of the Austrian army at the fortress of Ulm in Swabia. Napoleon swung his forces to the southeast and the Grande Armée performed an elaborate wheeling movement that outflanked the Austrian positions. The Ulm Maneuver completely surprised General Mack, who belatedly understood that his army had been cut off. After some minor engagements that culminated in the Battle of Ulm, Mack finally surrendered after realizing that there was no way to break out of the French encirclement. For just 2,000 French casualties, Napoleon had managed to capture a total of 60,000 Austrian soldiers through his army's rapid marching.
The Battle of Austerlitz (2 December 1805/11 Frimaire An XIV FRC), also known as the Battle of the Three Emperors, was one of the most important and decisive engagements of the Napoleonic Wars. In what is widely regarded as the greatest victory achieved by Napoleon, the Grande Armée of France defeated a larger Russian and Austrian army led by Emperor Alexander I and Holy Roman Emperor Francis II. The battle occurred near the town of Austerlitz in the Austrian Empire (modern-day Slavkov u Brna in the Czech Republic). Austerlitz brought the War of the Third Coalition to a rapid end, with the Treaty of Pressburg signed by the Austrians later in the month. The battle is often cited as a tactical masterpiece, in the same league as other historic engagements like Cannae or Gaugamela.
At this critical juncture, both Tsar Alexander I and Holy Roman Emperor Francis II decided to engage Napoleon in battle, despite reservations from some of their subordinates. Napoleon sent his army north in pursuit of the Allies, but then ordered his forces to retreat so that he could feign a grave weakness. At the Battle of Austerlitz, in Moravia on 2 December, he deployed the French army below the Pratzen Heights and deliberately weakened his right flank, enticing the Allies to launch a major assault there in the hopes of rolling up the whole French line.
The Allied disaster at Austerlitz significantly shook the faith of Emperor Francis in the British-led war effort. France and Austria agreed to an armistice immediately and the Treaty of Pressburg followed shortly after on 26 December.
The fourth Peace of Pressburg (also known as the Treaty of Pressburg) was signed on 27 December 1805 between Napoleon and Holy Roman Emperor Francis II as a consequence of the French victories over the Austrians at Ulm (25 September – 20 October) and Austerlitz (2 December). A truce was agreed on 4 December, and negotiations for the treaty began. The treaty was signed in Pressburg (today's Bratislava), Hungary, by Johann I Josef, Prince of Liechtenstein, and the Hungarian Count Ignác Gyulay for the Austrian Empire and Charles Maurice de Talleyrand for France.