Etymology
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truncate (v.)

late 15c., from Latin truncatus "cut off," past participle of truncare "to maim, mutilate, cut off," from truncus "maimed, mutilated," also "trunk of a tree, trunk of the body," of uncertain origin, probably originally "mutilated, cut off," and perhaps from PIE root *tere- (2) "cross over, pass through, overcome." Related: Truncated; truncating.

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truncated (adj.)
late 15c., past-participle adjective from truncate. Originally in heraldry; modern senses are post-1700.
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truncation (n.)

early 15c., from Late Latin truncationem (nominative truncatio), noun of action from past-participle stem of truncare (see truncate).

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*tere- (2)

*terə- Proto-Indo-European root meaning "cross over, pass through, overcome."

It forms all or part of: avatar; caravanserai; nectar; nectarine; nostril; seraglio; thrill; thorough; through; tranche; trans-; transient; transom; trench; truculent; truncate; trunk.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit tirah, Avestan taro "through, beyond;" Latin trans "beyond;" Old Irish tre, Welsh tra "through;" Old English þurh "through."

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