LATIN DICTIONARYLexicon Latīnum
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“introduction” in Latin

The English word introduction itself goes back to Latin intrōdūcō, through intrōdūctiōnem.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

introduction
Act of introducing, (1) introductio (only in the literal sense; e.g., of introducing armed men into the circus, introductio armatorum): inductio (the introducing a character into a dialogue, ficta personae inductio): invectio (the introduction of goods into a country; importation). (2) For introduction of customs, etc., by circumlocution with inducere, introducere, etc. [Vid: INTRODUCE.] (3) Act of making a person known to another; by circumlocution with verbs in INTRODUCE (= to make a person known to another). Letter of introduction, litterae commendaticiae (Cic., Fam., 5, 5, recommendatory letters), or commendatio only (recommendation): to give anybody a letter of introduction to anybody, ad aliquem de aliquo scribere (diligentissime): anybody has brought a letter of introduction to me, aliquem sibi commendatum habere (anybody has been recommended to my notice whether by letter or orally).
Introductory preface, aditus: introītus: ingressio: ingressus (general term, mode of entering upon or beginning one’s subject; introduction to a speech, poem, etc.; introītus only, perhaps in introitus defensionis, Cic., pro Coel., 2, 3, Krebs): principium (beginning; of a speech or letter): exordium (beginning of, or introduction to a speech or writing, as part of it): prooemium (προοίμιον, litterally, “prelude;” also introduction to a speech, history, poem): praefatio (oral introduction to a discussion, etc.; not introduction to a book till Quint. and Plin.). Perhaps prolegomena (προλεγόμενα) may be retained for a long introduction, separate from the work itself; so Krebs. If = prologue, Vid: To make a long introduction, multa praefari: after a short introduction, pauca praefatus: to make an introduction to one’s speech (of an orator), aditum ad causam facere. Sometimes vestibulum (threshold = introduction; Cic., Or., 15, 50; ☞ Quint., 9, 4, 10, quodam quasi vestibulo). To say anything by way of introduction, dicere aliquid ante rem: to commence one’s speeches by a graceful (brilliant, tec.) introduction, vestibula honesta atque aditus ad causam illustres facere (Cic.).

Quick answer

What is the Latin word for introduction?
The usual Latin words for “introduction” are intrōductiō, inductiō, invectiō; also adeō, introitus, ingressiō. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.