Etymology
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coordination (n.)

also co-ordination, c. 1600, "orderly combination," from French coordination (14c.) or directly from Medieval Latin coordinationem (nominative coordinatio), noun of action from past-participle stem of Latin coordinare "to set in order, arrange," from co- "with, together" (see com-) + ordinatio "arrangement," from ordo "row, rank, series, arrangement" (see order (n.)). Meaning "action of setting in order" is from 1640s; that of "harmonious adjustment or action," especially of muscles and bodily movements, is from 1855.

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*ar- 

also arə-, Proto-Indo-European root meaning "to fit together."

It forms all or part of: adorn; alarm; aristarchy; aristo-; aristocracy; arm (n.1) "upper limb of the body;" arm (n.2) "weapon;" armada; armadillo; armament; armature; armilla; armistice; armoire; armor; armory; army; art (n.) "skill as a result of learning or practice;" arthralgia; arthritis; arthro-; arthropod; arthroscopy; article; articulate; artifact; artifice; artisan; artist; coordination; disarm; gendarme; harmony; inert; inertia; inordinate; ordain; order; ordinal; ordinance; ordinary; ordinate; ordnance; ornament; ornate; primordial; subordinate; suborn.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit irmah "arm," rtih "manner, mode;" Armenian arnam "make," armukn "elbow;" Greek arti "just," artios "complete, suitable," artizein "to prepare," arthron "a joint;" Latin ars (stem art-) "art, skill, craft," armus "shoulder," artus "joint," arma "weapons;" Old Prussian irmo "arm;" German art "manner, mode."

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timing (n.)

mid-13c., "a happening," verbal noun from time (v.). From 1590s as "the noting or recording of time;" 1915 as "coordination of moving parts in a machinery."

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coordinate (adj.)

1640s, "of the same order, belonging to the same rank or degree," from Medieval Latin coordinatus, past participle of coordinare "to set in order, arrange," from assimilated form of com "with, together" (see com-) + ordinatio "arrangement," from ordo "row, rank, series, arrangement" (see order (n.)). Meaning "involving coordination" is from 1769. Related: Coordinance.

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organic (adj.)

1510s, "serving as a means or instrument," from Latin organicus, from Greek organikos "of or pertaining to an organ, serving as instruments or engines," from organon "instrument" (see organ). The sense of "from or characteristic of organized living beings" (objects that have organs) is attested from 1778. The sense of "forming a whole with a systematic arrangement or coordination of parts" is by 1817. The meaning "free from pesticides and fertilizers" is attested by 1942. Organic chemistry is attested from 1831. Earlier was organical "relating to the body or its organs" (mid-15c.) and Middle English had organik, of body parts, "composed of distinct substances, possessing distinct properties" (c. 1400).

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