Source : Webster's Revised Unabridged Dictionary (1913)

Deduce \De*duce"\, v. t. [imp. & p. p. {Deduced}; p. pr. & vb.
   n. {Deducing}.] [L. deducere; de- + ducere to lead, draw. See
   {Duke}, and cf. {Deduct}.]
   1. To lead forth. [A Latinism]

            He should hither deduce a colony.     --Selden.

   2. To take away; to deduct; to subtract; as, to deduce a part
      from the whole. [Obs.] --B. Jonson.

   3. To derive or draw; to derive by logical process; to obtain
      or arrive at as the result of reasoning; to gather, as a
      truth or opinion, from what precedes or from premises; to
      infer; -- with from or out of.

            O goddess, say, shall I deduce my rhymes From the
            dire nation in its early times?       --Pope.

            Reasoning is nothing but the faculty of deducing
            unknown truths from principles already known.
                                                  --Locke.

            See what regard will be paid to the pedigree which
            deduces your descent from kings and conquerors.
                                                  --Sir W.
                                                  Scott.

Source : WordNet®

deduce
     v 1: reason by deduction; establish by deduction [syn: {infer}, {deduct},
           {derive}]
     2: conclude by reasoning; in logic [syn: {infer}]