detriment (n.)

early 15c., from Middle French détriment or directly from Latin detrimentum "a rubbing off; a loss, damage, defeat," from past participle stem of detere "to wear away," figuratively "to weaken, impair," from de- "away" (see de-) + terere "to rub, wear" (from PIE root *tere- (1) "to rub, turn").

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