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.
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© 1976 Springer-Verlag Berlin Heidelberg
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Pólya, G., Szegö, G. (1976). Geometric Problems. In: Problems and Theorems in Analysis. Springer Study Edition. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6292-1_12
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DOI: https://doi.org/10.1007/978-1-4757-6292-1_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90291-3
Online ISBN: 978-1-4757-6292-1
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