Origin: 1350–1400; Middle English so(b)duen, so(b)dewen < Anglo-French *soduer to overcome, Old French soduire to deceive, seduce < Latin subdūcere to withdraw (see subduct); meaning in E (and Anglo-French ) < Latin subdere to place beneath, subdue
late 14c., "to conquer," from O.Fr. souduire "deceive, seduce," from L. subducere "draw, lead away, withdraw" (see subduce). The sense seems to have been taken over in Anglo-Fr. from L. subdere. Subduct in the sense of "subtract" is from 1570s.