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“develop” in Latin

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

develop
Unfold, explicare (unfold, general term, also of leaves, frondes pampinus explicat, Verg.): evolvere (unroll): id quod involutum est, evolvere (Cic.).
To form or perfect gradually, excolere: educare et confirmare (e.g., one’s natural talents, ea, quae sunt orta jam in nobis et procreata). To develop the powers of the mind, animum mentemque excolere: to develop itself, crescere: adolescere (the former only physically; the latter mentally; of a nation, constitution, etc., Cic., Rep., 2, 11, init.). To be developed; Vid: Develop itself, below. To develop the resources of a country, *rempublicam ita moderari, ut opibus firma sit, copiis locuples (after Cic., Att., 8, 11). A country whose resources are developed, respublica or civitas opibus firma, copiis locuples (Cic., Att., 8, 11); respublica adulta, et jam firma atque robusta (Cic.); populus adultus.
To render plain what was perplexed and obscure, explicare: explanare: enodare (to free it, as it were, from knots): aperire (to lay open; cogitationes, consilia, sententiam; fontem sceleris). To develop an idea, animi sui complicatam notionem evolvere; the causes of anything, explicare alicujus rei causas (evolvere causas belli, Enn.): to develop anything in a masterly way, praeclare aliquid ante oculos ponere; diligenter explicare or explanare aliquid; accuratius evolvere aliquid (e.g., totam deliberationem, Cic.): to develop one’s ideas or thoughts with great facility, solutum esse in explicandis sententiis; subtiliter versari de re [☞ for simple explanations, explicare aliquam rem may be used; but for fuller or complete explanations of a subject or question, explicare de re, Krebs]: to develop a subject carefully, accurately, etc., accurate dicere or disputare de re: to develop the nature of things, naturam (omnium rerum) evolvere (Cic.).
To discover and expose, detegere (PROP., and IMPROP.): retegere: revelare. nudare (PROP.): denudare: aperire: patefacere (lay open). To develop a plot, conjurationem patefacere. Developed, nudus, apertus: evolutus integumentis (alicujus rei; figuratively e.g., dissimulationis tuae).
Develop itself, crescere, adolescere (the former only physically; the latter mentally, etc.; also of the constitution of a state; Cic., Rep., 2, 11, init.): patere: planum or manifestum fieri: se aperire (= discover itself; show itself; Nep., Paus., 3, 7): se detegere (to reveal itself): exitum habere, ad exitum venire (have a catastrophe, etc.). The ear (of corn) develops itself, folliculo se exserit spica mollis (Sen., Ep., 124, 11); frux latens, ruptis velamentis, quae folliculos agricolae vocant, adaperitur (Sen., Q.N., 5, 18, 2): his character develops itself, *indoles ejus sese ostendit or clarius conspicitur; mores ejus se detegunt (reveal their nature to a spectator; Quint.): his talents develop themselves more and more, ejus ingenii vires in dies magis elucent.

Quick answer

What is the Latin word for develop?
The usual Latin words for “develop” are explicō, ēvolvō, excolō; also explānō, ēnōdō, aperiō. 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.