How did the Treaty of Calais give England control of Aquitaine?

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The Treaty of Calais (1360) granted England control of Aquitaine as part of a formal peace agreement between Edward III and the French king, John II. Following the failure of the earlier Treaties of London, which the French Estates had refused to ratify, peace negotiations were held at Brétigny and finalized through the Treaties of Calais.12

Under the terms of this agreement, France ceded the whole of the old duchy of Aquitaine to the English in full sovereignty. In exchange for this territory—along with Calais and Guünes—Edward III agreed to renounce his claim to the French crown. The treaty required the French king to formally resign all sovereignty and jurisdiction over these ceded lands by November 30, 1361. Subsequently, in 1362, Edward III transferred the principality of Aquitaine to his son, Edward the Black Prince.12