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... Apollo. quin et Atridas duce te...

The definitions given are for "quin" as a subordinate conj. with the subj. in a clause of hindering or prohibition; here it's an adverb with "et" and the indicative meaning "why even," and furthermore." "Quin" as an adverb with the subj. can also introduce deliberative questions. "Quin ego hoc rogem?" "Why shoudn't I ask this?"