Eminent
late Middle English: from Latin eminent- ‘jutting, projecting’, from the verb eminere .
wiktionary
From Middle French éminent, from Latin present participle ēminēns, ēminentis, from verb ēmineō(“I project, I protrude”), from ex-(“out of, from”) + mineō, related to mons (English mount). Compare with imminent. Unrelated to emanate, which is instead from mānō(“I flow”).
etymonline
eminent (adj.)
early 15c., "standing or rising above other places; exceeding other things in quality or degree;" from Old French éminent "prominent" (13c.) or directly from Latin eminentem (nominative eminens) "standing out, projecting, prominent, high," figuratively "distinguished, distinctive," present participle of eminere "stand out, project; be prominent, be conspicuous," from assimilated form of ex "out" (see ex-) + -minere, which is related to mons "hill" (from PIE root *men- (2) "to project"). From 1610s, of persons, "distinguished in character or attainments." Related: Eminently.