dauphin vs prince

dauphin and prince both are nouns.

Word	Noun	Adjective	Verb	Adverb
dauphin	Yes	No	No	No
prince	Yes	No	No	No

As nouns, prince is a hypernym of dauphin; that is, prince is a word with a broader meaning than dauphin:

dauphin: formerly, the eldest son of the King of France and direct heir to the throne
prince: a male member of a royal family other than the sovereign (especially the son of a sovereign)

dauphin (noun)	prince (noun)
formerly, the eldest son of the King of France and direct heir to the throne	a male member of a royal family other than the sovereign (especially the son of a sovereign)