An extension of Blaschke's theorem in the plane (Q1179123)
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scientific article; zbMATH DE number 23948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of Blaschke's theorem in the plane |
scientific article; zbMATH DE number 23948 |
Statements
An extension of Blaschke's theorem in the plane (English)
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26 June 1992
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For a convex body \(K\) let \(r\), \(w\) denote inradius and width. Blaschke's theorem asserts in the 2-dimensional case \(w/r\leqq 3\). If \(K\) is contained in a trapezium whose parallel edges have ratio \(t(0\leqq t\leqq 1)\), then it is shown that \(w/r+t\leqq 3\).
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convex body
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inradius
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width
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0.7672379016876221
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0.7467532157897949
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