On a geometric inequality (Q5966357)
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scientific article; zbMATH DE number 4161570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a geometric inequality |
scientific article; zbMATH DE number 4161570 |
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On a geometric inequality (English)
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1990
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The following is proved: If the points P,Q,R divide the closed convex curve c into equal parts, then the parameter of the triangle PQR is \(\geq | c|\) (\(| c|\) denotes the length of c). Equality is attained iff c is an equilateral triangle and P,Q,R are midpoints of its sides.
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convex curve
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