de·duce / diˈd(y)oōs/ • v. [tr.] arrive at (a fact or a conclusion) by reasoning; draw as a logical conclusion: it can be deduced from these figures | we deduce that the fish died because of pollution. DERIVATIVES: de·duc·i·ble / -səbəl/ adj.

deduce †bring, convey; †derive; trace the course of; draw as a conclusion XV; †deduct XVI. — L. dēdūcere, f. DE- 2 + dūcere lead.
So deduct take away, subtract XV; †derive; †trace out; deduce by reasoning XVI. f. dēduct-, pp. stem of L. dēdūcere. deduction subtraction, abatement XV; †detailed account; deducing a conclusion, inference by reasoning XVI. — (O)F. — L.