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Note on a conjecture of L. A. Santaló
Published online by Cambridge University Press: 26 February 2010
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Let be a plane bounded convex set whose width in the direction φ is . It has been shown by L. A. Santaló that
is invariant under unimodular affine transformations. Santaló [1] established a number of properties of this invariant and conjectured that if the area of is A() then and that equality characterizes triangles. In this note Santaló's conjecture is shown to be true.
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