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An isoperimetric inequality for the thread problem
Published online by Cambridge University Press: 17 April 2009
Extract
Given a fixed curve C0 in Rn of length L0 and a variable curve C of fixed length L ≤ L0, the thread problem seeks a least-area surface bounded by C0 + C. We show that an extreme case is a circular arc and its chord. We provide some counterexamples and generalisations to higher dimensions.
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- Research Article
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- Copyright © Australian Mathematical Society 1997
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