He promises Ariel his freedom after his next duty but never freeze him
Because Ferdinand disobeyed Prospero.
Ferdinand stacking wood for Prospero (Apex)
A conversation between Prospero and Caliban shares the details of how Caliban came to be his servant.
In the end of the Tempest, Prospero forgives his enemies,Antonio and the king of Naples then Miranda and Prospero return to their homeland,Miranda marries Ferdinand,Prospero gets his properties and his title back,he buries his magic books in his island.
In Shakespeare's "The Tempest", Miranda (daughter of Prospero) comments this line to Ferdinand, in Act 1 Scene 2, line 461.
Because Ferdinand disobeyed Prospero.
Ferdinand stacking wood for prospero
he was very rude to him
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Prospero is Miranda's father and their relationship is very significant. Prosepero is very protective over Miranda. He is against Caliban in the ply as he once tried to rape Miranda. Prospero wishes for Miranda to have the right man and for her to be happy. When she meets Ferdinand, Prospero creates a masque for them.
He promises Ariel his freedom after his next duty but never frees him.
Ferdinand stacking wood for Prospero (Apex)
Prospero's manipulation of the other characters through using his magic to control their actions and emotions, particularly with Ariel and Caliban, demonstrates his manipulative nature. Additionally, his orchestration of the events on the island to achieve his desired outcome further emphasizes his manipulative tendencies.
He questions Prospero about when he will be freed.
Prospero's manipulation is most clearly seen in how he orchestrates events on the island to bring his enemies under his control. For example, he uses Ariel and his magic to create illusions and control the actions of others, such as causing the shipwreck that brings his enemies to the island. Prospero's treatment of Caliban also displays his manipulative nature, as he asserts dominance over Caliban by promising him freedom only to maintain control over him.
He promises Ariel his freedom after his next duty but never frees him.
He wishes Ferdinand and Miranda to marry as part of his plot to restore himself (and Miranda) to their rightful place in the Duchy of Milan. In engineering Ferdinand and Miranda's romance, Prospero realises that "too light winning" (getting Miranda's hand too easily) will "make the prize light" (he'll get bored and take her for granted, and move onto his next conquest.) So Prospero is rude and obnoxious to Ferdinand, making him into a servant and pretending to think he's a spy, in order to make him work for Miranda's affection, so he was to win her hand through great hardship and effort - therefore wanting to keep her. So in summary: he's rude to Ferdinand because he understands male psychology! - and he wants Ferdinand not to have to work to earn Miranda's love.