Etymology
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coil (v.)

1610s, "to wind, gather into rings one above the other" (trans.), from French coillir "to gather, pick," from Latin colligere "to gather together" from assimilated form of com "together" (see co-) + legere "to gather," from PIE root *leg- (1) "to collect, gather." Intransitive sense "to form rings or spirals" is by 1798. Related: Coiled; coiling.

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coil (n.)

1620s, "length of rope or cable," a specialized nautical sense from coil (v.). General sense "ring or series of rings in which a pliant body is wound" is from 1660s; hence, such a form forced onto a non-pliant body (1826). Specific sense "electrical conductor wound in a coil" is from 1849. Related: Coils.

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uncoil (v.)
1713 (transitive), from un- (2) "reverse, opposite of" + coil (v.). Related: Uncoiled; uncoiling.
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*leg- (1)

Proto-Indo-European root meaning "to collect, gather," with derivatives meaning "to speak" on the notion of "to gather words, to pick out words."

It forms all or part of: alexia; analects; analogous; analogue; analogy; anthology; apologetic; apologue; apology; catalogue; coil; colleague; collect; college; collegial; Decalogue; delegate; dialect; dialogue; diligence; doxology; dyslexia; eclectic; eclogue; elect; election; epilogue; hapax legomenon; homologous; horology; ideologue; idiolect; intelligence; lectern; lectio difficilior; lection; lector; lecture; leech (n.2) "physician;" legacy; legal; legate; legend; legible; legion; legislator; legitimate; lesson; lexicon; ligneous; ligni-; logarithm; logic; logistic; logo-; logogriph; logopoeia; Logos; -logue; -logy; loyal; monologue; neglect; neologism; philology; privilege; prolegomenon; prologue; relegate; sacrilege; select; syllogism; tautology; trilogy.

It is the hypothetical source of/evidence for its existence is provided by: Greek legein "to say, tell, speak, declare; to count," originally, in Homer, "to pick out, select, collect, enumerate;" lexis "speech, diction;" logos "word, speech, thought, account;" Latin legere "to gather, choose, pluck; read," lignum "wood, firewood," literally "that which is gathered," legare "to depute, commission, charge," lex "law" (perhaps "collection of rules"); Albanian mb-ledh "to collect, harvest;" Gothic lisan "to collect, harvest," Lithuanian lesti "to pick, eat picking;" Hittite less-zi "to pick, gather."

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spiral (adj.)

1550s, from French spiral (16c.), from Medieval Latin spiralis "winding around a fixed center, coiling" (mid-13c.), from Latin spira "a coil, fold, twist, spiral," from Greek speira "a winding, a coil, twist, wreath, anything wound or coiled," from PIE *sper-ya-, from base *sper- (2) "to turn, twist." Related: Spirally. Spiral galaxy first attested 1913.

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chignon (n.)

"knot or coil of hair worn at the back of the neck," 1783, from French chignon "nape of the neck," from Old French chaignon "iron collar, shackles, noose" (12c.), from Vulgar Latin *catenionem (nominative *catenio), from Latin catena "chain, fetter, restraint" (see chain (n.)). Popular 1780s, 1870s, 1940s. Form influenced in French by tignon "coil of hair."

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tesla (n.)
"unit of magnetic flux density," 1960, from Nikola Tesla (1856-1943), Croatian-born U.S. engineer. Tesla coil is attested from 1896.
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spiro- 
word-forming element meaning "twisted, spiraled, whorled," from combining form of Latin spira "a coil, twist," from Greek speira (see spiral (adj.)).
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hank (n.)
late 13c., "a loop of rope" (in nautical use), probably from a Scandinavian source such as Old Norse hönk "a hank, coil," hanki "a clasp (of a chest);" ultimately related to hang (v.). From 1550s as a length of yarn or thread.
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spirochete (n.)
1877, from Modern Latin Spirochæta, the genus name, from spiro- Modern Latin combining form of Greek speira "a coil" (see spiral (adj.)) + Greek khaite "hair" (see chaeto-).
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