Geodesic
On the Relative Widths of Coverings by Convex Bodies
Canadian mathematical bulletin, Tome 1 (1958) no. 3, p. 154

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The purpose of this note is to give an elementary proof of a special case of a theorem suggested by Th. Bang (2; 3) and proved by Lee et al (5; see also 1; 4; 6; 7; 8). 
Moser, W.O.J. On the Relative Widths of Coverings by Convex Bodies. Canadian mathematical bulletin, Tome 1 (1958) no. 3, p. 154. doi: 10.4153/CMB-1958-015-9
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[5] 5. Lee, Tzer-Yee et al, A solution of Bang’s “plank problem” J. Chinese Math. Soc., 2 (1953), 139-143; M. R. 17, 185. Google Scholar

[6] 6. Ohmann, D., Eine Abschatzung fur die Dicke bei Uberdeckung durch konvexe Korper J. Reine angew. Math.. 190 (1952), 195-128; M.R. 14, 788. Google Scholar

[7] 7. Ohmann, D., Kurzer Beweis einer Abschatzung fur die Breite bei Uberdeckung durch konvexe Korper Arch. Math.. 8 (1957), 150-152. Google Scholar

[8] 8. Straszewics, S., Un thorme sur la largeur des ensembles convexes, Ann. Soc. Polon. Math.. 21 (1948), 90-93; M.R. 10, 205. Google Scholar

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