Etymology
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skive (v.1)
"split or cut into strips, pare off, grind away," 1825, from a Scandinavian source such as Old Norse skifa "to cut, split," from Proto-Germanic *skif-, from PIE root *skei- "to cut, split." Related: Skived; skiving.
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skive (v.2)
"evade duty," usually with off, 1919, probably from earlier sense "move lightly and quickly, dart" (1854), of unknown origin. Related: Skived; skiving.
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shive (n.)
early 13c., "slice of bread; thin piece cut off," perhaps from an unrecorded Old English *scifa, cognate with Old Saxon sciva, Middle Dutch schive, Dutch schijf, Old High German sciba, German Scheibe; see skive (v.1). From 1869 as "thin, flat cork for a bottle."
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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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