Chord and area properties of strictly convex curves

Chord and area properties of strictly convex curves

Ellipses have a lot of interesting geometric properties. It is quite natural to ask whether such properties of ellipses and some related ones characterize ellipses. In this paper, we study some chord properties and area properties of ellipses. As a result, using the curvature and the support functio...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2021, 36(4), , pp.801-815
Hauptverfasser: 김동수, 김인천
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:Ellipses have a lot of interesting geometric properties. It is quite natural to ask whether such properties of ellipses and some related ones characterize ellipses. In this paper, we study some chord properties and area properties of ellipses. As a result, using the curvature and the support function of a strictly convex curve, we establish four characterization theorems of ellipses and hyperbolas centered at the origin. KCI Citation Count: 1
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c200314