Geometric Problems

  • George Pólya
  • Gabor Szegö
Part of the Springer Study Edition book series (SSE)

Abstract

The points of the surface form a closed set of points O from which P is at a certain minimum distance. This minimum distance can be attained only at a point M of the surface such that the direction of every curve element on O emanating from the point M is perpendicular to the straight line MP. Thus M cannot be situated at a corner nor on an edge but must be in the interior of a face of the polyhedron.

Keywords

Peri 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • George Pólya
    • 1
  • Gabor Szegö
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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