On Mannheim partner curve in dual space.
Özkaldi, Siddika, İlarslan, Kazim, Yayli, Yusuf (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Özkaldi, Siddika, İlarslan, Kazim, Yayli, Yusuf (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Özyilmaz, Emin, Yilmaz, Süha (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Stanislav Šmakal (1973)
Czechoslovak Mathematical Journal
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Petrović-Torgašev, Miroslava, Šućurović, Emilija (2001)
Matematichki Vesnik
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Amiran, Edoh Y. (1997)
The New York Journal of Mathematics [electronic only]
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Akyigit, M., Ersoy, S., Özgür, İ., Tosun, M. (2011)
Mathematical Problems in Engineering
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Dirk Siersma (1999)
Banach Center Publications
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This paper studies the smoothness and the curvature of conflict sets of the distance function in the plane. Conflict sets are also well known as 'bisectors'. We prove smoothness in the case of two convex sets and give a formula for the curvature. We generalize moreover to weighted distance functions, the so-called Johnson-Mehl model.
V. Jurdjevic (2009)
Annales de l'I.H.P. Analyse non linéaire
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Andrzej Miernowski (2008)
Annales UMCS, Mathematica
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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.
Ahmad T. Ali (2012)
Matematički Vesnik
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