Induce
late Middle English (formerly also as enduce ): from Latin inducere ‘lead in’, from in- ‘into’ + ducere ‘to lead’, or from French enduire . Compare with endue.
wiktionary
From Middle English enducen, borrowed from Latin indūcere, present active infinitive of indūcō(“lead in, bring in, introduce”), from in + dūcō(“lead, conduct”). Compare also abduce, adduce, conduce, deduce, produce, reduce etc. Doublet of endue.
etymonline
induce (v.)
formerly also enduce, late 14c., "to lead by persuasions or other influences," from Latin inducere "lead into, bring in, introduce, conduct; persuade; suppose, imagine," from in- "into, in, on, upon" (from PIE root *en "in") + ducere "to lead" (from PIE root *deuk- "to lead"). Meaning "to bring about" in any way (in reference to a trance, a fever, etc.) is from early 15c.; sense of "to infer by reasoning" is from 1560s. Electro-magnetic sense first recorded 1777. Related: Induced; inducing.