Natural SciencesComputer ScienceMathematicsGeometrySet TheoryConvex AnalysisConvex GeometryConvex HullsConvex Sets
This paper collects together known inequalities relating the area, perimeter, width, diameter, inradius and circumradius of planar convex sets. Also, a technique for finding new inequalities is stated and illustrated.
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Robert Osserman · Bulletin of the American Mathematical Society · 1978 · 882 citations · Full text
SETS OF CONSTANT WIDTH AND INEQUALITIES
P. R. Scott · The Quarterly Journal of Mathematics · 1981 · 25 citations