'Theorem of Pappus' definitions:

Definition of 'Theorem of Pappus'

From: GCIDE
  • 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]

Definition of 'theorem of Pappus'

From: GCIDE
  • 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]
  • 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. [1913 Webster]