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英文字典中文字典相关资料:


  • Sylvesters triangle problem - Wikipedia
    Sylvester's theorem or Sylvester's formula describes a particular interpretation of the sum of three pairwise distinct vectors of equal length in the context of triangle geometry It is also referred to as Sylvester's (triangle) problem in literature, when it is given as a problem rather
  • Sylvesters Problem
    I am trying to find a proof of the theorem: Given n points in a plane, there is a line that contains exactly two points There are hundreds of books and papers that would provide a proof The result is referred to as Sylvester's Problem Two proofs are given in Introduction to Geometry by HSM Coxeter, pages 65-66 and 181-182
  • Sylvester’s theorem - PlanetMath. org
    Suppose the line l l contained more than two points Then at least two of them, say B B and C C, would lie on the same side of the perpendicular from p p to l l But then either d(AB,C) d (A B, C) or d(AC,B) d (A C, B) would be smaller than the distance d(A,l) d (A, l) which contradicts the minimality of d(A,l) d (A, l) ∎
  • Sylvesters Triangle Problem -- from Wolfram MathWorld
    Sylvester's Triangle Problem The resultant of the vectors represented by the three radii from the center of a triangle's circumcircle to its polygon vertices is the segment extending from the circumcenter to the orthocenter
  • Generalizations of a theorem of Sylvester
    Theorem of Sylvester: The resultant of three equal forces OA, OB and OC acting on the circumcentre O of a triangle ABC, is the force represented by OH, where H is the orthocentre of the triangle (hence, the resultant OH = 3OG)





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