# Covering of a Reduced Spherical Body by a Disk

@article{Musielak2018CoveringOA,
title={Covering of a Reduced Spherical Body by a Disk},
author={Michał Musielak},
journal={Ukrainian Mathematical Journal},
year={2018},
volume={72},
pages={1613 - 1624}
}
• M. Musielak
• Published 11 June 2018
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• Ukrainian Mathematical Journal
We prove the following theorems: (1) every spherical convex body W of constant width ΔW≥π2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varDelta (W)\ge \frac{\uppi}{2}$$\end{document} can be covered by a disk of radius ΔW+arcsin233cosΔW2−π2;\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym…
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