A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE

DOI10.1093/qmath/3.1.296zbMath0048.16604OpenAlexW2058157438MaRDI QIDQ5814436

H. G. Eggleston

Publication date: 1952

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/3.1.296

zbMATH Keywords

metric geometry, convex geometry, integral geometry

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A doubly monotone flow for constant width bodies in ℝ³ ⋮ A generalization of the Blaschke-Lebesgue problem to a kind of convex domains ⋮ Body of constant width with minimal area in a given annulus ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ Stability of the isodiametric problem on the sphere and in the hyperbolic space ⋮ On a measure of asymmetry for Reuleaux polygons ⋮ On the isoperimetric inequalities for Reuleaux polygons ⋮ A direct proof of a theorem of Blaschke and Lebesgue.

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