The Collaborative International Dictionary of English v.0.48:
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.
See what regard will be paid to the pedigree which
deduces your descent from kings and conquerors.