Displaying similar documents to “Several identities and inequalities involving Jordan closed curves.”

Minkowskian rhombi and squares inscribed in convex Jordan curves

Horst Martini, Senlin Wu (2010)

Colloquium Mathematicae

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We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.