Pascal's theorem

Pascal's theorem
the theorem that the lines joining adjacent vertices of a hexagon intersect the same straight line if alternate vertices lie on two intersecting straight lines.
[named after PASCAL]

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Universalium. 2010.

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  • Pascal's theorem — In projective geometry, Pascal s theorem (aka Hexagrammum Mysticum Theorem) states that if an arbitrary hexagon is inscribed in any conic section, and opposite pairs of sides are extended until they meet, the three intersection points will lie on …   Wikipedia

  • Pascal's theorem — Geom. the theorem that the lines joining adjacent vertices of a hexagon intersect the same straight line if alternate vertices lie on two intersecting straight lines. [named after PASCAL] …   Useful english dictionary

  • Pascal (disambiguation) — Pascal or PASCAL may refer to:People* Pascal (name), a given name or surname * Blaise Pascal (1623–1662), French mathematician and philosopherFictional characters* Pascal, the main character in the film The Red Balloon * Pascal, a character in… …   Wikipedia

  • Pascal — Contents 1 People 2 Things named after Blaise Pascal 3 Fictional characters …   Wikipedia

  • Pascal, Blaise — (1623 1662)    mathematician, physicist, philosopher    Considered one of the great minds of Western intellectual history, Blaise Pascal was born in Clermont Ferrand. His father, who had early recognized his exceptional gifts, oversaw his… …   France. A reference guide from Renaissance to the Present

  • Pascal's triangle — The first six rows of Pascal s triangle In mathematics, Pascal s triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician, Blaise Pascal. It is known as Pascal s triangle in much of the …   Wikipedia

  • Theorem der endlos tippenden Affen — Durch zufälliges Tippen von unendlicher Dauer auf einer Schreibmaschine werden mit Sicherheit alle Texte Shakespeares oder diverser Nationalbibliotheken entstehen. Das Infinite Monkey Theorem (v. engl. infinite „unendlich“; monkey „Affe“; theorem …   Deutsch Wikipedia

  • Satz von Pascal — Der Satz von Pascal (nach Blaise Pascal) ist eine Aussage der projektiven Geometrie und besagt: Liegen die Eckpunkte eines willkürlich gewählten Sechsecks auf einem Kegelschnitt, so liegen die Schnittpunkte der drei gegenüberliegenden Seitenpaare …   Deutsch Wikipedia

  • Pascal's pyramid — In mathematics, Pascal s pyramid is a three dimensional generalization of Pascal s triangle. Just as Pascal s triangle gives coefficients for the terms of a binomial expansion, so Pascal s pyramid gives coefficients for a trinomial expansion.… …   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

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