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“detriment” in Latin

The English word detriment itself goes back to Latin terō, through detrimentum.

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

detriment
detrimentum (a loss one has suffered; opposed to emolumentum): damnum (a loss for which one has to blame one’s self; opposed to lucrum): jactura (a voluntary loss). To cause, occasion, etc., detriment to anybody or anything, alicui or alicui rei detrimentum ferre, inferre; alicui rei detrimentum importare (e.g., reipublicae, Cic.): aliquem detrimento afficere: to suffer detriment, detrimentum facere, accipere, capere [☞ never detrimentum pati, which would be to bear it]: to inflict detriment on anybody’s reputation, auctoritatem alicujus minuere: without detriment to your honour, sine imminutione dignitatis tuae: if anything has suffered any detriment, si aliqua res aliquid detrimenti ceperit: to see that the state suffers no detriment, videre or curare ne quid respublica detrimenti capiat (the charge given to the consuls, etc., in times of public danger): not without great detriment to anything; or, to the great detriment of anything, non sine magno alicujus rei detrimento (Cic.).

Quick answer

What is the Latin word for detriment?
The usual Latin words for “detriment” are dētrīmentum, damnum, iaciō; also īnferō, rēspūblica, accipiō. 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.