THEOREM
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Traducere: română
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The"o*rem (?), n. [L. theorema, Gr. &unr_; a sight, speculation, theory, theorem, fr. &unr_; to look at, &unr_; a spectator: cf. F. théorème. See Theory.] 1. That which is considered and established as a principle; hence, sometimes, a rule.
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Not theories, but theorems (&unr_;), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.
Coleridge.
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By the theorems,
Which your polite and terser gallants practice,
I re-refine the court, and civilize
Their barbarous natures.
Massinger.
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2. (Math.) A statement of a principle to be demonstrated.
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&hand_; A theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols; as, the binomial theorem; Taylor's theorem. See the Note under Proposition, n., 5.
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Binomial theorem. (Math.) See under Binomial. -- Negative theorem, a theorem which expresses the impossibility of any assertion. -- Particular theorem (Math.), a theorem which extends only to a particular quantity. -- Theorem of Pappus. (Math.) See Centrobaric method, under Centrobaric. -- Universal theorem (Math.), a theorem which extends to any quantity without restriction.
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The"o*rem, v. t. To formulate into a theorem.
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