Etymology
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Words related to *oi-no-

unary (adj.)
1923, from Latin unus "one" (from PIE root *oi-no- "one, unique") on model of binary, etc.
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une (v.)
"to unite," c. 1400, from Late Latin unire "to make into one" (transitive), from unus "one" (from PIE root *oi-no- "one, unique").
uni- 
word-forming element meaning "having one only," from Latin uni-, combining form of unus "one" (from PIE root *oi-no- "one, unique").
Uniate 
"pertaining to an Eastern Christian church that acknowledges the supremacy of the Pope," 1833, from Russian uniyat, from unia "unity, union," from Latin unus "one" (from PIE root *oi-no- "one, unique").
unilateral (adj.)

1802, from Modern Latin unilateralis, from unum, neuter of unus "one" (from PIE root *oi-no- "one, unique") + latus (genitive lateralis) "the side, flank of humans or animals, lateral surface," a word of uncertain origin. Jeremy Bentham (1748-1832) may have been the first to use it in the legal sense of "made or entered into by one party." Related: Unilaterally. Unilateral disarmament is recorded from 1929.

It is useless for the sheep to pass resolutions in favor of vegetarianism, while the wolf remains of a different opinion. [William Ralph Inge, "Outspoken Essays," 1919]
uncial (adj.)
1640s, "pertaining to an ounce," from Latin uncialis "of an inch, of an ounce," from uncia "a twelfth part" (see inch (n.1)). In reference to letters, it is attested from 1712, from Late Latin litterae unciales (Jerome), probably meaning "letters an inch high," from Latin uncialis "of an inch, inch-high." As a noun, "an uncial letter," from 1775.
unicorn (n.)

early 13c., from Old French unicorne, from Late Latin unicornus (Vulgate), from noun use of Latin unicornis (adj.) "having one horn," from uni- "one" (from PIE root *oi-no- "one, unique") + cornus "horn" (from PIE root *ker- (1) "horn; head").

The Late Latin word translates Greek monoceros, itself rendering Hebrew re'em (Deuteronomy xxxiii.17 and elsewhere), which probably was a kind of wild ox. According to Pliny, a creature with a horse's body, deer's head, elephant's feet, lion's tail, and one black horn two cubits long projecting from its forehead. Compare German Einhorn, Welsh ungorn, Breton uncorn, Old Church Slavonic ino-rogu. Old English used anhorn as a loan-translation of Latin unicornis.

union (n.)
early 15c., "action of joining one thing to another," also "agreement, accord," also "state of matrimony," from Anglo-French unioun, Old French union (12c.), from Late Latin unionem (nominative unio) "oneness, unity, a uniting," also in Latin meaning "a single pearl or onion," from unus "one," from PIE root *oi-no- "one, unique."

Sense of "action of uniting into one political body" is attested from 1540s. Meaning "group of people or states" is from 1650s. Short for trade union, it is recorded from 1833. U.S. political sense is attested from 1775; used especially during the Civil War, in reference to the remainder of the United States after the Southern secession.
unique (adj.)

c. 1600, "single, solitary," from French unique (16c.), from Latin unicus "only, single, sole, alone of its kind," from unus "one" (from PIE root *oi-no- "one, unique"). Meaning "forming the only one of its kind" is attested from 1610s; erroneous sense of "remarkable, uncommon" is attested from mid-19c. Related: Uniquely; uniqueness.

unison (n.)

1570s, "note having the same pitch as another; identity in pitch of two or more sounds; interval between tones of the same pitch," especially the interval of an octave, from French unisson "unison, accord of sound" (16c.) or directly from Medieval Latin unisonus "having one sound, sounding the same," from Late Latin unisonius "in immediate sequence in the scale, monotonous," from Latin uni- "one" (from PIE root *oi-no- "one, unique") + sonus "sound" (from PIE root *swen- "to sound"). Figurative sense of "harmonious agreement" is first attested 1640s.

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