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The Collaborative International Dictionary
Anacoenosis

Anacoenosis \An`a*c[oe]*no"sis\, n. [Gr. ?, fr. ?, to communicate; ? up + ? to make common, ? common.] (Rhet.) A figure by which a speaker appeals to his hearers or opponents for their opinion on the point in debate.
--Walker.

Wiktionary
anacoenosis

n. (context rhetoric English) A rhetorical device by which a speaker appeals to his/her hearers or opponents for their opinion on the point in debate.

Wikipedia
Anacoenosis

Anacoenosis is a figure of speech in which the speaker poses a question to an audience in a way that demonstrates a common interest.