configuration of pappus

  • 1Pappus 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… …

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  • 2Pappus graph — infobox graph name = Pappus graph image caption = The Pappus graph, a Levi graph with 18 vertices formed from the Pappus configuration. namesake = Pappus of Alexandria vertices = 18 edges = 27 chromatic number = chromatic index = properties =… …

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  • 3Pappus'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. ( …

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  • 4Pappus 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… …

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  • 5Configuration (geometry) — Configurations (4362) (a complete quadrangle, at left) and (6243) (a complete quadrilateral, at right). In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of …

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  • 6Théorème de Pappus —  Ne doit pas être confondu avec Théorème de Pappus Guldin. Le théorème de Pappus est un théorème de géométrie projective plane qui possède plusieurs déclinaisons en géométrie affine. En géométrie projective Il s énonce uniquement en termes d …

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  • 7Theoreme de Pappus — Théorème de Pappus Sommaire 1 Introduction 2 Énoncé du théorème 3 Démonstration à l aide des applications projectives 4 Notions connexes …

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  • 8Théorème de pappus — Sommaire 1 Introduction 2 Énoncé du théorème 3 Démonstration à l aide des applications projectives 4 Notions connexes …

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  • 9Graphe de Pappus — Le graphe de Pappus Nombre de sommets 18 Nombre d arêtes 27 Distribution des degrés 3 régulier Rayon 4 Diamètre …

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  • 10Möbius configuration — Example of Möbius configuration; the face planes of red tetrahedron are shown on the top of the image; the blue one on the bottom. The vertex coordinates of the red tetrahedron are: (0,0,0),(0,0,1),(0,1,0),(1,0,0). The vertex coordinates of the… …

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