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Subject

Chord and area properties of strictly convex curves
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논문 기본 정보

Type
Academic journal
Author
Dong-Soo Kim (전남대학교) Incheon Kim (전남대학교)
Journal
대한수학회 대한수학회논문집 대한수학회논문집 제36권 제4호 KCI Accredited Journals
Published
2021.10
Pages
801 - 815 (15page)
DOI
10.4134/CKMS.c200314

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Chord and area properties of strictly convex curves
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Abstract· Keywords

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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.

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