单词 | Pascal's Theorem |
释义 | Pascal's Theorem![]() The dual of Brianchon's Theorem. It states that, given a (not necessarily Regular, oreven Convex) Hexagon inscribed in a Conic Section, the three pairs of thecontinuations of opposite sides meet on a straight Line, called the Pascal Line. There are 6! (6! means 6Factorial, where ![]() There are therefore a total of 60 Pascal Lines created by connecting Vertices in any order. These intersect three by three in 20 Steiner Points.See also Braikenridge-Maclaurin Construction, Brianchon's Theorem, Cayley-Bacharach Theorem, ConicSection, Duality Principle, Hexagon, Pappus's Hexagon Theorem, Pascal Line, SteinerPoints
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 73-76, 1967. Ogilvy, C. S. Excursions in Geometry. New York: Dover, pp. 105-106, 1990. Pappas, T. ``The Mystic Hexagram.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 118, 1989. |
随便看 |
|
数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。