Abstract
We prove that, for every simple polygon P having k ≥ 1 reflex vertices, there exists a point q ε P such that every half-polygon that contains q contains nearly 1/2(k + 1) times the area of P. We also give a family of examples showing that this result is the best possible.
Original language | English |
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Pages (from-to) | 29-35 |
Number of pages | 7 |
Journal | Journal of Geometry |
Volume | 100 |
Issue number | 1-2 |
DOIs | |
State | Published - 1 Apr 2011 |
Keywords
- Centerpoint Theorem
- Polygons
- Winternitz' Theorem
ASJC Scopus subject areas
- Geometry and Topology