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By the end of the first day (1 September 1870) of the Battle of Sedan, the French position seemed hopeless, prompting Emperor Napoleon III to raise a white flag and send General Reille out to deliver a letter of surrender to the Prussians. When the arranged truce expired the following morning, the Prussians briefly renewed their attacks before General Emmanuel Félix de Wimpffen formally agreed to surrender the remaining 104,000 men of the Army of Châlons to Generalfeldmarschall Helmut von Moltke and the Prussian king William I. Napoleon himself spent the rest of the war in captivity in Schloss Wilhelmshöhe, Kassel, after which he lived out the remaining two years of his life in exile in England.in wikipedia
On 4 September 1870, when news reached Paris of Emperor Napoleon III’s capture at Sedan, the French government proclaimed the end of the Second Empire and the formation of a republic (the French Third Republic). Under the leadership of Léon Gambetta, the provisional Government of National Defense was established to continue the war against Prussia and its German allies, but was disbanded in January 1871 following the fall of Paris. Even so, the Third Republic would ultimately survive under successive governments until July 1940, when it was defeated by another German invasion.in wikipedia
Following their victory at Sedan, Prussia and its allies advanced rapidly west towards Paris, which they encircled and besieged on 19 September 1870. The siege—which pitted 240,000 German troops against 200,000 French regulars and another 200,000 militia—lasted for four months until January 1871, when the French, facing both starvation and heavy bombardment, agreed to surrender.in wikipedia