The Collaborative International Dictionary of English v.0.48:

Eminence \Em"i*nence\, n. [L. eminentia, fr. eminens eminent:
   cf. F. ['e]minence.]
   1. That which is eminent or lofty; a high ground or place; a
      height.
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            Without either eminences or cavities. --Dryden.
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            The temple of honor ought to be seated on an
            eminence.                             --Burke.
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   2. An elevated condition among men; a place or station above
      men in general, either in rank, office, or celebrity;
      social or moral loftiness; high rank; distinction;
      preferment. --Milton.
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            You 've too a woman's heart, which ever yet
            Affected eminence, wealth, sovereignty. --Shak.
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   3. A title of honor, especially applied to a cardinal in the
      Roman Catholic Church.
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WordNet (r) 3.0 (2006):

eminence
    n 1: high status importance owing to marked superiority; "a
         scholar of great eminence" [syn: eminence, distinction,
         preeminence, note]
    2: a protuberance on a bone especially for attachment of a
       muscle or ligament [syn: tuberosity, tubercle,
       eminence]