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http://dx.doi.org/10.4134/CKMS.c200314

CHORD AND AREA PROPERTIES OF STRICTLY CONVEX CURVES  

Kim, Dong-Soo (Department of Mathematics Chonnam National University)
Kim, Incheon (Department of Mathematics Chonnam National University)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.4, 2021 , pp. 801-815 More about this Journal
Abstract
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.
Keywords
Chord; area; ellipse; hyperbola; curvature function; support function; strictly convex curve;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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