Etymology
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Words related to induce

*en 
Proto-Indo-European root meaning "in."

It forms all or part of: and; atoll; dysentery; embargo; embarrass; embryo; empire; employ; en- (1) "in; into;" en- (2) "near, at, in, on, within;" enclave; endo-; enema; engine; enoptomancy; enter; enteric; enteritis; entero-; entice; ento-; entrails; envoy; envy; episode; esoteric; imbroglio; immolate; immure; impede; impend; impetus; important; impostor; impresario; impromptu; in; in- (2) "into, in, on, upon;" inchoate; incite; increase; inculcate; incumbent; industry; indigence; inflict; ingenuous; ingest; inly; inmost; inn; innate; inner; innuendo; inoculate; insignia; instant; intaglio; inter-; interim; interior; intern; internal; intestine; intimate (adj.) "closely acquainted, very familiar;" intra-; intricate; intrinsic; intro-; introduce; introduction; introit; introspect; invert; mesentery.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit antara- "interior;" Greek en "in," eis "into," endon "within;" Latin in "in, into," intro "inward," intra "inside, within;" Old Irish in, Welsh yn, Old Church Slavonic on-, Old English in "in, into," inne "within, inside."
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*deuk- 
Proto-Indo-European root meaning "to lead."

It forms all or part of: abduce; abducent; abduct; abduction; adduce; aqueduct; circumduction; conduce; conducive; conduct; conductor; conduit; deduce; deduction; dock (n.1) "ship's berth;" doge; douche; ducal; ducat; Duce; duchess; duchy; duct; ductile; duke (n.); educate; education; induce; induction; introduce; introduction; misconduct; produce; production; reduce; reduction; seduce; seduction; subduce; subduction; taut; team (n.); teem (v.1) "abound, swarm, be prolific;" tie (n.); tow (v.); traduce; transducer; tug; zugzwang.

It is the hypothetical source of/evidence for its existence is provided by: Latin dux (genitive ducis) "leader, commander," in Late Latin "governor of a province," ducere "to lead;" Old English togian "to pull, drag," teonteon "to pull, drag;" German Zaum "bridle," ziehen "to draw, pull, drag;" Middle Welsh dygaf "I draw."
endue (v.)
also indue, c. 1400, "invest (with) some gift, quality, or power" (usually passive), from Old French enduire, induire "lead, drive, initiate, indoctrinate" (12c.) and directly from Latin inducere "to lead" (see induce). Related: Endued.
inducement (n.)
1590s, "that which induces," from induce + -ment.
inducive (adj.)
"tending to induce," 1610s, from induce + -ive.
induct (v.)
late 14c., "introduce, initiate, especially into office or employment," from Latin inductus, past participle of inducere "to lead into, introduce" (see induce). Originally of church offices; sense of "draft into military service" is 1917 in American English. Related: Inducted; inducting.
induction (n.)
late 14c., "advancement toward the grace of God;" also (c. 1400) "formal installation of a clergyman," from Old French induction (14c.) or directly from Latin inductionem (nominative inductio) "a leading in, introduction, admission," noun of action from past participle stem of inducere "to lead" (see induce).

As a term in logic (early 15c.) it is from Cicero's use of inductio to translate Greek epagoge "leading to" in Aristotle. Induction starts with known instances and arrives at generalizations; deduction starts from the general principle and arrives at some individual fact. As a term in physics, in reference to electrical influence, 1801; military service sense is from 1934, American English. Related: Inductional.
inductive (adj.)
early 15c., "bringing on, inducing," from Old French inductif or directly from Late Latin inductivus "serving to induce or infer," from induct-, past participle stem of Latin inducere (see induce). As a term in logic, "based on induction" (q.v.), from 1764. Related: Inductively.
inductor (n.)
1650s, "one who initiates," agent noun from Latin stem of induce. Classical Latin inductor meant "one who stirs up, an instigator." Electromagnetic senses are from 1837.