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]

{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]


The Collaborative International Dictionary of English. 2000.

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  • 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… …   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

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