LATIN DICTIONARYLexicon Latīnum
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“farm” in Latin

The English word farm itself goes back to Latin firma, through ferma.

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

farm s.
rusticum praedium (the proper word; opposed to urbanum praedium = property in houses): fundus (an estate usually with one or more buildings attached to it): villa (the country-house, with or without land): ager: rus (PROP., country, opposed to town; hence, by metonymy = landed estate. In this meaning, as well as in that of country, rus, rure are mostly without a preposition [☞ Plaut., Merc., 3, 3, 25; Capt., 1, 1, 10] unless they have an adjective or possessive pronoun with them, when the preposition is mostly, but not always, expressed; cum in rura sua venerunt, Cic.; in Albense rus, Plin.; in Veliterno rure, Plin.; but also nugari rure paterno, Hor.; rure dapes parat ille suo, Ov.). A farm near the town, praedium suburbanum: a small farm, praediolum, agellus; also hortuli (☞ Cic., Eclog., p. 157): a farm-house, villa: a small farm-house, villula: to go about one’s farms, fundos obire: to till a farm, praedium colere or colere et tueri: the profits of a farm, fructus praedii.
farm v.
To cultivate a farm, agrum colere (general term). To be very fond of farming, voluptatibus agricolarum incredibiliterdelectari (Cic.): a treatise on farming, liber de rebus rusticis, or de agricultura, scriptus.
To give a certain sum for tolls, taxes, etc., in the hope of making profit by them, conducere (general term): redimere (with the intention of re-letting them in small portions). To farm the taxes, vectigalia redimere: to wish to farm them, ad vectigalia accedere.
To lease or let (the revenues, etc.): locare: elocare (e.g., gentem Judaeorum = ejus vectigalia, Cic., Flacc., 28, fin.).

Quick answer

What is the Latin word for farm?
The usual Latin words for “farm” are fundus, vīlla, ager; also rūs, praedĭŏlum, redimō. 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.