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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

Conic Section Integral Curf Parallel Surface Double Root Curve Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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