e·duce 
(ĭ-ds, ĭ-dys)
(ĭ-ds, ĭ-dys)tr.v. e·duced, e·duc·ing, e·duc·es
1. To draw or bring out; elicit. See Synonyms at evoke.
2. To infer or work out from given facts: educe principles from experience.
[Middle English educen, to direct the flow of, from Latin ēdūcere : ē-, ex-, ex- + dūcere, to lead; see deuk- in the Appendix of Indo-European roots.]
e·duci·ble adj.
e·duction (ĭ-dŭkshən) n.