Curve shortening makes convex curves circular.
M.E. Gage (1984)
Inventiones mathematicae
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M.E. Gage (1984)
Inventiones mathematicae
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Tudor Zamfirescu (1987)
Monatshefte für Mathematik
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Al-Rashed, Abdallah M., Zaheer, Neyamat (1987)
International Journal of Mathematics and Mathematical Sciences
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Andrzej Miernowski (2008)
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Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
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Rade Živaljević (1979)
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Siniša Vrećica (1981)
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Josip E. Pečarić (1980)
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Zyskowski, Janusz (2015-11-13T12:11:38Z)
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Moussafir, J.-O. (2000)
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Hüsseinov, F. (1999)
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P.R. Goodey (1984)
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