On the closest distance between a point and a convex body / O najmniejszej odległości między punktem a ciałem wypukłym

Abstract

On a strictly convex curve we find explicitly a point realizing the shortest distance to a given point lying in the exterior of our curve. The result uses a support function of a strictly convex plane curve and can have practical applications. Moreover, we determine one of tangent lines to a strictly convex curve C passing through a given point lying in the exterior of C.

Authors and Affiliations

Waldemar Cieślak, Witold Mozgowa, Paweł Wlaź

Keywords

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  • EP ID EP316494
  • DOI 10.26485/0459-6854/2017/67.2/2
  • Views 44
  • Downloads 0

How To Cite

Waldemar Cieślak, Witold Mozgowa, Paweł Wlaź (2017). On the closest distance between a point and a convex body / O najmniejszej odległości między punktem a ciałem wypukłym. Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations, 0(2), 21-30. https://europub.co.uk/articles/-A-316494