Yes.
Athens. You answered your question already.
Aegeus, after whom the Aegean Sea is called, became king of Athens and father of Theseus.
Aegeus, king of Athens.
Yes, he slayed the Minoutar Thesus was the son of King Aegeus. He was also the King of Athens and cousin of Hercules.
Theseus was the greatest hero of Athens. When king Aegeus of Athens wanted children he went to Delphi to consult the oracle about it, but did not understand the answer. He then went to the wise king Pittheus in Troezen, who instead of telling Aegeus what the answer meant gave him his daughter Aethra. She had been seduced by Poseidon the same night, and the child, Theseus, she had was therefore considered both Aegeus and Poseidon's son.
In Euripides' play "Medea," Medea asks Aegeus, the King of Athens, for sanctuary and protection in his city after she has committed her violent acts. She seeks his promise that he will allow her to stay in Athens and not hand her over to her enemies. In return, she offers to help him with a solution to his childlessness. Aegeus agrees, providing her with the refuge she desperately needs.
No. Theseua is a founder-king of Athens, son of Aethra (daughter of King Pittheus of Troezen) and fathered by Aegeus (King of Athens) and Poseidon (God-King of the Sea), both of whom Aethra lay with in one night.
Medea makes a deal with Aegeus, the king of Athens, to provide him with a cure for his childlessness in exchange for sanctuary in Athens after she escapes from Corinth. Aegeus agrees to protect her and offer her refuge, not knowing fully the extent of her past actions. This arrangement highlights Medea's cunning and resourcefulness as she seeks safety and a new life after her revenge on Jason.
King Aegeus was one of the two fathers of Theseus. The other father of Theseus was the sea god Poseidon.
The grandfather of Theseus was Aegeus, the king of Athens. Aegeus was the son of Pandion, making Pandion Theseus's great-grandfather. According to mythology, Aegeus played a crucial role in Theseus's life by leaving behind a sword and sandals under a rock for him to claim when he was old enough to lift them. This act set in motion Theseus's journey to Athens and his eventual rise to heroism.
According to some sources, the father of Theseus may have been King Aegeus of Athens.
She doesn't want Aegeus to recognize his son, Theseus, because Aegeus would then reinstate Theseus's position as heir and he would inherit the throne of Athens after Aegeus dies. Medea wants her own son, Medus, to rule Athens after Aegeus dies - she wants to remove Theseus so that this can happen.