Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2020.08.20
  • Accepted : 2020.11.23
  • Published : 2021.10.31
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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.

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References

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