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Latin word mene comes from Proto-Indo-European *(e)me-n-, Latin -met, and later Latin mihi (Dative form of ego, indirect object form.)
*(e)me-n- (Proto-Indo-European)
me
-met (Latin)
An intensifier of substantive and less frequently adjective personal pronouns, it is usually followed by "ipse".
mihi (Latin)
Dative form of ego, indirect object form.
mene (Latin)