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English word doc comes from Latin doceo, Latin instrumentum, Latin docere, and later Latin documentum (Instruction. Lesson. Warning.)
doceo (Latin)
(drama) I rehearse, present on stage. I teach, instruct; tell, inform; show, demonstrate.
instrumentum (Latin)
(collective) supply, provision. (general) paraphernalia, equipment. An instrument, tool, utensil. Records, documents.
docere (Latin)
documentum (Latin)
Instruction. Lesson. Warning.
document (English)
To furnish with documents or papers necessary to establish facts or give information.. To record in documents. (computing) A file that contains text.. (obsolete) An example for instruction or warning.. (obsolete) That which is taught or authoritatively set forth; precept; instruction; dogma.. An original or official paper used as the basis, proof, or support of anything else, including any [...]
doc (English)
(informal, usually plural) A document, especially (in professional jargon) a piece of technical documentation or legal evidence.