Etymology
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non- 

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].

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non-Euclidean 

"not in accordance with the principles of Euclid," 1874, from non- + Euclidean.

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non-cooperation (n.)

also noncooperation, "failure or refusal to cooperate," 1795, from non- + cooperation.

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non-toxic (adj.)

also nontoxic, "not poisonous," 1892, from non- + toxic.

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non-violence (n.)
also nonviolence, 1831, from non- + violence. Gandhi used it from 1920.
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non-perishable (adj.)

also nonperishable, "not subject to rapid decay or deterioration," 1887, from non- + perishable.

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non-vascular (adj.)

also nonvascular, "lacking vessels for the circulation of fluid," 1815, from non- + vascular.

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non-importation (n.)

also nonimportation, "a refraining from importing," 1770, from non- + importation.

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non-sectarian (adj.)

also nonsectarian, "not involving or relating to a specific religious sect," 1825, from non- + sectarian.

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non-polar (adj.)

also nonpolar, 1840, in chemistry and physics, from non- + polar.

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