She hates her own children and has no pleasure at the sight of them. I fear she may form some new and horrible resolve. For hers is a dangerous mind, and she will not lie down to injury. I know her and she frightens me (lest she make her way stealthily into the palace where his couch is spread and drive a sharp sword into his vitals or even kill both the King and the bridegroom and then incur some greater misfortune). She is cunning. Whoever crosses swords with her will not find victory easy, I tell you.
-- Nurse (Medea paragraph 2)

Importance: This quote foreshadows Medea's revenge against Jason turning to murder and filicide.

Are you only now learning that every man loves himself more than his neighbor? (Some justly, others for profit, as) now for a new bride their father hates these children.
-- Tutor (Medea paragraph 18)

Importance: This quote expresses a pessimistic view of humanity in general...