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T  ›  theorem
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1828 Definition

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.

1913 Definition
Theorem (theorem)
n.(?)
The"o*rem
[L. theorema, Gr. (?) a sight, speculation, theory, theorem, fr. (?) to look at, (?) a spectator: cf. F. théorème. See Theory.]
  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. 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.

  3. To formulate into a theorem.

1828 dictionary
Noah Says...
An attempt to conduct the affairs of a free government with wisdom and impartiality, and to preserve the just rights of all classes of citizens, without the guidance of Divine precepts, will certainly end in disappointment. God is the supreme moral Governor of the world He has made, and as He Himself governs with perfect rectitude, He requires His rational creatures to govern themselves in like manner. If men will not submit to be controlled by His laws, He will punish them by the evils resulting from their own disobedience.…
 Letter to David McClure :: October 25, 1837 




"Monte from Montana" was born and raised near Glacier National Park. He is a strong, sober mind that likes to solve problems in order to help people. Following in his father's footsteps, he began teaching high school mathematics (BYU: mathematics with minors in Physics and Spanish). The excitement of the dot-com era led Monte to Monterey California where he became a Senior Software Engineer doing web-application development for an Internet Company. Following the bubble-burst, he returned to BYU (MBA: Marketing Research). Monte is concurrently working toward his Ph.D. in Marketing and a M.S. in Statistics at WSU in Pullman, Washington. Generally, he likes to identify innovative statistical techniques that can help solve marketing problems. Specifically, his interests are in Entrepreneurial Innovation, U.S. Patent Data, and Internet Consumer Behavior. Outside of Marketing, Monte enjoys his family, a good game of basketball, golf, and chess.




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