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From Biology-Online Dictionary | Biology-Online Dictionary
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1. To drive out or away; to expel. They deposed, exterminated, and deprived him of communion. (Barrow)

2. To destroy utterly; to cut off; to extirpate; to annihilate; to root out; as, to exterminate a colony, a tribe, or a nation; to exterminate error or vice. To explode and exterminate rank atheism. (Bentley)

3. (Science: mathematics) to eliminate, as unknown quantities.

Origin: L. Exterminatus, p. P. Of exterminare to abolish, destroy, drive out or away; ex out _ terminus boundary, limit. See term.