Etymology
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incarceration (n.)

"fact of being imprisoned," 1530s, from Medieval Latin incarcerationem (nominative incarceratio), noun of action from past-participle stem of incarcerare "to imprison," from in- "in" (from PIE root *en "in") + carcer "prison, an enclosed space," from Proto-Italic *kar-kr(o)-, which is of uncertain origin.

It seems best to connect carcer with other IE words for 'circle, round object', such as [Latin] curvus, [Greek] κιρκος 'ring', [Old Norse] hringr, although not all of these have a good IE etymology. The reduplication in Latin carcer could be iconic; thus, the original meaning would have been 'enclosure'. [de Vaan]

The word appears earlier in English in an obsolete medical sense of "retention of pus" (early 15c.).

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incarcerate (v.)
"imprison, shut up in jail," 1550s, a back-formation from incarceration (q.v.), or else from Medieval Latin incarceratus, past participle of incarcerare "to imprison." Related: Incarcerated; incarcerating.
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carceral (adj.)
"pertaining to prisons or a prison," 1570s, from Latin carceralis, from carcer "prison, jail; starting place in a race course, enclosed space," from Proto-Italic *kar-kr(o)-, which is of uncertain origin (see incarceration).
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cancel (v.)
late 14c., "cross out with lines, draw lines across (something written) so as to deface," from Anglo-French and Old French canceler, from Latin cancellare "to make like a lattice," which in Late Latin took on especially a sense "cross out something written" by marking it with crossed lines, from cancelli, plural of *cancellus (n.) "lattice, grating," diminutive of cancer "crossed bars, a lattice," a variant of carcer "prison" (see incarceration).

Figurative use, "to nullify (an obligation, etc.)" is from mid-15c. Related: Canceled (also cancelled); cancelling.
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