de·duce 
(dĭ-ds, -dys)
(dĭ-ds, -dys)tr.v. de·duced, de·duc·ing, de·duc·es
1. To reach (a conclusion) by reasoning.
2. To infer from a general principle; reason deductively: deduced from the laws of physics that the new airplane would fly.
3. To trace the origin or derivation of.
[Middle English deducen, from Latin dēdūcere, to lead away or down : dē-, de- + dūcere, to lead; see deuk- in the Appendix of Indo-European roots.]
de·duci·ble adj.