A generalized Winternitz Theorem
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- 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.
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- Citation
- Bose, P, Carmi, P. (Paz), Hurtado, F. (Ferran), & Morin, P. (2011). A generalized Winternitz Theorem. Journal of Geometry, 100(1-2), 29–35. doi:10.1007/s00022-011-0076-0
- Date Created
- 2011-04-01
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winternitz-submitted-1-.pdf | 2022-08-26 | Public | Download |