Source : Webster's Revised Unabridged Dictionary (1913)

Ideat \I*de"at\, Ideate \I*de"ate\, n. [LL. ideatum. See
   {Idea}.] (Metaph.)
   The actual existence supposed to correspond with an idea; the
   correlate in real existence to the idea as a thought or
   existence.

Ideate \I*de"ate\, v. t.
   1. To form in idea; to fancy. [R.]

            The ideated man . . . as he stood in the intellect
            of God.                               --Sir T.
                                                  Browne.

   2. To apprehend in thought so as to fix and hold in the mind;
      to memorize. [R.]

Source : WordNet®

ideate
     v : form a mental image of something that is not present or that
         is not the case; "Can you conceive of him as the
         president?" [syn: {imagine}, {conceive of}, {envisage}]