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In my view, the Christian religion is the most important and one of the first things in which all children, under a free government ought to be instructed... No truth is more evident to my mind than that the Christian religion must be the basis of any government intended to secure the rights and privileges of a free people.
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1828 Noah Webster Dictionary
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1828.mshaffer.com › Word [theorem]

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theorem

THE'OREM, n. [Gr. to see.]

1. In mathematics, a proposition which terminates in theory,and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem, extends to any quantity without restriction.

A particular theorem, extends only to a particular quantity.

A negative theorem, expresses the impossibility of any assertion.

A local theorem, is that which relates to a surface.

A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.



Evolution (or devolution) of this word [theorem]

1828 Webster1844 Webster1913 Webster

THE'OREM, n. [Gr. to see.]

1. In mathematics, a proposition which terminates in theory,and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem, extends to any quantity without restriction.

A particular theorem, extends only to a particular quantity.

A negative theorem, expresses the impossibility of any assertion.

A local theorem, is that which relates to a surface.

A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.


THE'O-REM, n. [Fr. theoreme; Sp. and It. teorema; Gr. θεωρημα, from θεωρεω, to see.]

  1. In mathematics, a proposition which terminates in theory, and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together. A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done. Day.
  2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols. Cyc. A universal theorem, extends to any quantity without restriction. A particular theorem, extends only to a particular quantity. A negative theorem, expresses the impossibility of any assertion. A local theorem, is that which relates to a surface. A solid theorem, is that which considers a space terminated by a solid, that is, by any of the three conic sections.

The"o*rem
  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. To formulate into a theorem.
  3. A statement of a principle to be demonstrated.

    * 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.

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Theorem

THE'OREM, noun [Gr. to see.]

1. In mathematics, a proposition which terminates in theory, and which considers the properties of things already made or done; or it is a speculative proposition deduced from several definitions compared together.

A theorem is a proposition to be proved by a chain of reasoning. A theorem is something to be proved; a problem is something to be done.

2. In algebra or analysis, it is sometimes used to denote a rule, particularly when that rule is expressed by symbols.

A universal theorem extends to any quantity without restriction.

A particular theorem extends only to a particular quantity.

A negative theorem expresses the impossibility of any assertion.

A local theorem is that which relates to a surface.

A solid theorem is that which considers a space terminated by a solid, that is, by any of the three conic sections.

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Word of the Day

importance

IMPORT'ANCE, n.

1. Weight; consequence; a bearing on some interest; that quality of any thing by which it may affect a measure, interest or result. The education of youth is of great importance to a free government. A religious education is of infinite importance to every human being.

2. Weight or consequence in the scale of being.

Thy own importance know.

Nor bound thy narrow views to things below.

3. Weight or consequence in self-estimation.

He believes himself a man of importance.

4. Thing implied; matter; subject; importunity. [In these senses, obsolete.]

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undiscernibleness

UNDISCERN'IBLENESS, n. The state or quality of being undiscernible.

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