Theorem of Pappus
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.

### Look at other dictionaries:

• theorem of Pappus — Centrobaric Cen tro*bar ic, a. [Gr. (?) ? a treatise of Archimedes on finding the center of gravity, fr. ? gravitating toward the center; ? center + ? weight.] Relating to the center of gravity, or to the process of finding it. [1913 Webster]… …   The Collaborative International Dictionary of English

• 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]… …   The Collaborative International Dictionary of English

• Pappus of Alexandria — (Greek polytonic|Πάππος ὁ Ἀλεξανδρεύς) (c. 290 ndash; c. 350) was one of the last great Greek mathematicians of antiquity, known for his Synagoge or Collection (c. 340), and for Pappus s Theorem in projective geometry. Nothing is known of his… …   Wikipedia

• Pappus's hexagon theorem — (attributed to Pappus of Alexandria) states that given one set of collinear points A , B , C , and another set of collinear points a , b , c , then the intersection points x , y , z of line pairs Ab and aB , Ac and aC , Bc and bC are collinear. ( …   Wikipedia

• Pappus's centroid theorem — (also known as the Guldinus theorem, Pappus Guldinus theorem or Pappus s theorem) is the name of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution.The theorem is attributed to Pappus of… …   Wikipedia

• Pappus's theorem — ▪ geometry  in mathematics, theorem named for the 4th century Greek geometer Pappus of Alexandria that describes the volume of a solid, obtained by revolving a plane region D about a line L not intersecting D, as the product of the area of D and… …   Universalium

• Pappus configuration — In projective geometry, the Pappus configuration consists of a pair (( A , B , C ), ( D , E , F )) of triplets of points, which pair is located either on a pair of lines or on two sides of a conic section, with a hexagon AECDBF defined on the… …   Wikipedia

• Binomial 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… …   The Collaborative International Dictionary of English

• Negative 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… …   The Collaborative International Dictionary of English

• Particular 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… …   The Collaborative International Dictionary of English