Theorem
Theorem The"o*rem, n. [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th['e]or[`e]me. See {Theory}.] 1. That which is considered and established as a principle; hence, sometimes, a rule. [1913 Webster]

Not theories, but theorems (?), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively. --Coleridge. [1913 Webster]

By the theorems, Which your polite and terser gallants practice, I re-refine the court, and civilize Their barbarous natures. --Massinger. [1913 Webster]

2. (Math.) A statement of a principle to be demonstrated. [1913 Webster]

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. [1913 Webster]

{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. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Synonyms:
(to be demonstrated), , ,


Look at other dictionaries:

  • Theorem — The o*rem, v. t. To formulate into a theorem. [1913 Webster] …   The Collaborative International Dictionary of English

  • Theorēm — (griech.), soviel wie Lehrsatz …   Meyers Großes Konversations-Lexikon

  • Theorem — Theorēm (grch.), Lehrsatz …   Kleines Konversations-Lexikon

  • Theorem — Theorem, griech. (das Wort mit allen damit verwandten Ausdrücken hat seine Wurzel in einem griech. Zeitworte, welches bedeutet: anschauen, besonders: innerlich, geistig anschauen, in seinen letzten Gründen etwas schauen), der Lehrsatz; t. atisch …   Herders Conversations-Lexikon

  • theorem — index inference, postulate, prescription (directive), principle (axiom), supposition Burton s Legal Thesaurus. William …   Law dictionary

  • Theorem — Theorem,das:⇨Lehrsatz …   Das Wörterbuch der Synonyme

  • theorem — (n.) 1550s, from M.Fr. théorème, from L.L. theorema, from Gk. theorema spectacle, speculation, in Euclid proposition to be proved, from theorein to consider (see THEORY (Cf. theory)) …   Etymology dictionary

  • theorem — *principle, axiom, fundamental, law …   New Dictionary of Synonyms

  • theorem — [n] explanation based on hypothesis and experiments assumption, axiom, belief, deduction, dictum, doctrine, formula, fundamental, law, postulate, principium, principle, proposition, rule, statement, theory, thesis; concepts 529,688,689 Ant. fact …   New thesaurus

  • theorem — ► NOUN 1) Physics & Mathematics a general proposition not self evident but proved by a chain of reasoning. 2) Mathematics a rule expressed by symbols or formulae. ORIGIN Greek the r ma speculation, proposition …   English terms dictionary

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