Etymology
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take (v.)

late Old English tacan "to take, seize," from a Scandinavian source (such as Old Norse taka "take, grasp, lay hold," past tense tok, past participle tekinn; Swedish ta, past participle tagit), from Proto-Germanic *takan- (source also of Middle Low German tacken, Middle Dutch taken, Gothic tekan "to touch"), from Germanic root *tak- "to take," of uncertain origin, perhaps originally meaning "to touch."

As the principal verb for "to take," it gradually replaced Middle English nimen, from Old English niman, from the usual West Germanic verb, *nemanan (source of German nehmen, Dutch nemen; see nimble).

OED calls take "one of the elemental words of the language;" take up alone has 55 varieties of meaning in that dictionary's 2nd print edition. Basic sense is "to lay hold of," which evolved to "accept, receive" (as in take my advice) c. 1200; "absorb" (take a punch) c. 1200; "choose, select" (take the high road) late 13c.; "to make, obtain" (take a shower) late 14c.; "to become affected by" (take sick) c. 1300.

Take five is 1929, from the approximate time it takes to smoke a cigarette. Take it easy is recorded by 1880; take the plunge "act decisively" is from 1876; take the rap "accept (undeserved) punishment" is from 1930. Phrase take it or leave it is recorded from 1897. To take (something) on "begin to do" is from late 12c. To take it out on (someone or something) "vent one's anger on other than what caused it" is by 1840.

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take (n.)
1650s, "that which is taken," from take (v.). Sense of "money taken in" by a single performance, etc., is from 1931. Movie-making sense is recorded from 1927. Criminal sense of "money acquired by theft" is from 1888. The verb sense of "to cheat, defraud" is from 1920. On the take "amenable to bribery" is from 1930.
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on- 

the preposition and adverb on used as a prefix; Old English on-, an-.

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-on 
subatomic particle suffix, from ion.
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on (prep., adv.)

"in a position above and in contact with; in such a position as to be supported by;" also noting the goal to which some action is or has been directed; "about, concerning, regarding; in a position to cover;" as an adverb, "in or into a position in contact with and supported by the top or upper part of something; in or into place; in place for use or action; into movement or action; in operation," Old English on, unstressed variant of an "in, on, into," from Proto-Germanic *ana "on" (source also of Dutch aan, German an, Gothic ana "on, upon"), from PIE root *an- (1) "on" (source also of Avestan ana "on," Greek ana "on, upon," Latin an-, Old Church Slavonic na, Lithuanian nuo "down from").

Also used in Old English in many places where we now would use in. From 16c.-18c. (and still in northern England dialect) often reduced to o'. Phrase on to "aware" is from 1877.

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double-take (n.)

"exaggerated reaction to surprise," 1922, from double (adj.) + take (n.). Originally in stage comedy acting.

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out-take (n.)

also outtake, "rejected part of a film," 1960, from out- + take (n.) in the movie sense. Related: Out-takes.

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clip-on (adj.)

"held on by means of a clip," 1909, from the verbal phrase; see clip (v.2) + on (adv.).

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hang on (v.)
1860, "to remain clinging," 1860, especially "cling fondly to" (1871); see hang (v.) + on (adv.). As a command to be patient, wait a minute, from 1936, originally in telephone conversations.
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give-and-take (n.)
1769, originally in horse-racing, referring to races in which bigger horses were given more weight to carry, lighter ones less; from give (v.) + take (v.). General sense attested by 1778. Give and take had been paired in expressions involving mutual exchange from c. 1500. Give or take as an indication of approximation is from 1958.
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