DICT.TW Dictionary Taiwan

 The·o·rem n.
 1. That which is considered and established as a principle; hence, sometimes, a rule.
    Not theories, but theorems (░), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.   --Coleridge.
 By the theorems,
 Which your polite and terser gallants practice,
 I re-refine the court, and civilize
 Their barbarous natures.   --Massinger.
 2. Math. A statement of a principle to be demonstrated.
 Note: ☞ 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.
 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.

 Cen·tro·bar·ic a.  Relating to the center of gravity, or to the process of finding it.
 Centrobaric method Math., a process invented for the purpose of measuring the area or the volume generated by the rotation of a line or surface about a fixed axis, depending upon the principle that every figure formed by the revolution of a line or surface about such an axis has for measure the product of the line or surface by the length of the path of its center of gravity; -- sometimes called theorem of Pappus, also, incorrectly, Guldinus's properties. See Barycentric calculus, under Calculus.
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