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Pairs of sets of constant relative width

✍ Scribed by G. Thomas Sallee

Book ID: 112501545
Publisher: Springer
Year: 1987
Tongue: English
Weight: 410 KB
Volume: 29
Category: Article
ISSN: 0047-2468
DOI: 10.1007/bf01234983

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In this paper we prove the following result: THEOREM. Let K be a planar set of constant width 6; if {Bt, B2, B3} is a cover of K, in which the diameters d (Bi), where i = 1, 2, 3, are smaller than ~, then d(nl The proof is an immediate consequence of the three lemmas of Section 2. 1. NOTATION