Etymology
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*sek- 

Proto-Indo-European root meaning "to cut." It forms all or part of: bisect; dissect; hacksaw; insect; intersect; resect; saw (n.1) "cutting tool;" Saxon; scythe; secant; secateurs; sect; section; sector; sedge; segment; skin; skinflint; skinny; transect.

It is the hypothetical source of/evidence for its existence is provided by: Hittite shakk- "to know, pay attention to;" Latin secare "to cut," sectio "a cutting, cutting off, division;" Old Church Slavonic seko, sešti "to cut," sečivo "ax, hatchet," Russian seč' "to cut to pieces;" Lithuanian įsėkti "to engrave, carve;" Albanian šate "mattock;" Old Saxon segasna, Old English sigðe "scythe;" Old English secg "sword," seax "knife, short sword;" Old Irish doescim "I cut."

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*tem- 
also *temə-, Proto-Indo-European root meaning "to cut."

It forms all or part of: anatomy; atom; contemplate; contemplation; diatom; dichotomy; -ectomy; entomolite; entomology; entomophagous; epitome; phlebotomy; temple (n.1) "building for worship;" tmesis; tome; -tomy; tonsorial; tonsure.

It is the hypothetical source of/evidence for its existence is provided by: Greek temnein "to cut," tomos "volume, section of a book," originally "a section, piece cut off;" Old Church Slavonic tina "to cleave, split;" Middle Irish tamnaim "I cut off," Welsh tam "morsel."
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*skei- 
Proto-Indo-European root meaning "to cut, split," extension of root *sek- "to cut."

It forms all or part of: abscissa; conscience; conscious; ecu; escudo; escutcheon; esquire; nescience; nescient; nice; omniscience; omniscient; plebiscite; prescience; prescient; rescind; rescission; science; scienter; scilicet; sciolist; scission; schism; schist; schizo-; schizophrenia; scudo; sheath; sheathe; sheave (n.) "grooved wheel to receive a cord, pulley;" shed (v.) "cast off;" shin (n.) "fore part of the lower leg;" shingle (n.1) "thin piece of wood;" shit (v.); shive; shiver (n.1) "small piece, splinter, fragment, chip;" shoddy; shyster; skene; ski; skive (v.1) "split or cut into strips, pare off, grind away;" squire.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit chindhi, chinatti "to break, split up;" Avestan a-sista- "unsplit, unharmed," Greek skhizein "to split, cleave, part, separate;" Latin scindere "to cut, rend, tear asunder, split;" Armenian c'tim "to tear, scratch;" Lithuanian skiesti "to separate, divide;" Old Church Slavonic cediti "to strain;" Old English scitan, Old Norse skita "to defecate;" Old English sceað, Old High German sceida "sheath;" Old Irish sceid "to vomit, spit;" Welsh chwydu "to break open."
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*kerp- 

Proto-Indo-European root meaning "to gather, pluck, harvest."

It forms all or part of: carpe diem; carpel; carpet; carpo- (1) "fruit;" excerpt; harvest; scarce; scarcity.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit krpana- "sword," krpani "shears;" Greek karpos "fruit," karpizomai "make harvest of;" Latin carpere "to cut, divide, pluck;" Lithuanian kerpu, kirpti "to cut;" Middle Irish cerbaim "cut;" Old English hærfest "autumn."

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*keg- 
Proto-Indo-European root meaning "hook, tooth."

It forms all or part of: hacek; hack (v.1) "to cut roughly, cut with chopping blows;" hake; Hakenkreuz; heckle; hook; hooker.

It is the hypothetical source of/evidence for its existence is provided by: Russian kogot "claw;" Old English hoc "hook, angle."
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*kes- 
Proto-Indo-European root meaning "to cut."

It forms all or part of: caret; cashier (v.) "dismiss;" cassation; caste; castellan; castellated; Castile; castle; castigate; castrate; castration; chaste; chastity; chateau; chatelaine; Chester; forecastle; incest; quash (v.) "make void, annul."

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit sastra- "knife, dagger;" Greek keazein "to split;" Latin carere "to be cut off from," cassus "empty, void;" Old Church Slavonic kosa "scythe."
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*pau- (2)

Proto-Indo-European root meaning "to cut, strike, stamp."

It forms all or part of: account; amputate; amputation; anapest; berate; compute; count (v.); depute; deputy; dispute; impute; pave; pavement; pit (n.1) "hole, cavity;" putative; rate (v.1) "to scold;" reputation; repute.

It is the hypothetical source of/evidence for its existence is provided by: Latin pavire "to beat, ram, tread down," putare "to prune;" Greek paiein "to strike;" Lithuanian pjauti "to cut," pjūklas "saw."

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*sker- (1)

also *ker-, Proto-Indo-European root meaning "to cut."

It forms all or part of: bias; carnage; carnal; carnation; carnival; carnivorous; carrion; cenacle; charcuterie; charnel; corium; cortex; crone; cuirass; currier; curt; decorticate; excoriate; incarnadine; incarnate; incarnation; kirtle; scabbard; scar (n.2) "bare and broken rocky face of a cliff or mountain;" scaramouche; scarf (n.2) "connecting joint;" scarp; score; scrabble; scrap (n.1) "small piece;" scrape; screen; screw; scrimmage; scrofula; scrub (n.1) "low, stunted tree;" scurf; shard; share (n.1) "portion;" share (n.2) "iron blade of a plow;" sharp; shear; shears; sheer (adj.) "absolute, utter;" shirt; shore (n.) "land bordering a large body of water;" short; shrub; skerry; skirmish; skirt.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit krnati "hurts, wounds, kills," krntati "cuts;" Hittite karsh- "to cut off;" Greek keirein "to cut, shear;" Latin curtus "short;" Lithuanian skiriu, skirti "to separate;" Old English sceran, scieran "to cleave, hew, cut with a sharp instrument;" Old Irish scaraim "I separate;" Welsh ysgar "to separate," ysgyr "fragment."

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*peig- 

also *peik-, Proto-Indo-European root meaning "to cut, mark by incision," hence "embroider, paint."

It forms all or part of: depict; file (n.2) "metal tool for abrading or smoothing;" paint; pictogram; pictograph; pictorial; picture; picturesque; pigment; pimento; pint; pinto.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit pimsati "to carve, hew out, cut to measure, adorn;" Greek pikros "bitter, sharp, pointed, piercing, painful," poikilos "spotted, pied, various;" Latin pingere "to embroider, tattoo, paint, picture;" Old Church Slavonic pila "file, saw," pegu "variegated," pisati "to write;" Lithuanian piela "file," piešiu, piešti "to write;" Old High German fehjan "to adorn."

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*skribh- 
*skrībh-, Proto-Indo-European root meaning "to cut, separate, sift;" an extended form of root *sker- (1) "to cut."

It forms all or part of: ascribe; ascription; circumscribe; conscript; conscription; describe; description; festschrift; inscribe; inscription; manuscript; postscript; prescribe; prescription; proscribe; sans-serif; scribble; scribe; script; scriptorium; scripture; scrivener; serif; shrift; shrive; subscribe; superscribe; superscript; transcribe; scarification; scarify.

It is the hypothetical source of/evidence for its existence is provided by: Greek skariphasthai "to scratch an outline, sketch;" Latin scribere "to write" (to carve marks in wood, stone, clay, etc.); Lettish skripat "scratch, write;" Old Norse hrifa "scratch."
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