Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A CHARACTERIZATION OF CONIC SECTIONS

  • Kim, Dong-Soo (Department of Mathematics, Chonnam National University) ;
  • Kang, Seung-Hee (Department of Mathematics, Chonnam National University)
  • Received : 2011.06.06
  • Accepted : 2011.06.29
  • Published : 2011.09.25
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Abstract

We study some properties of tangent lines of conic sections. As a result, we establish a characterization of conic sections.

Keywords

References

  1. Chen, B.-Y., Kim, D.-S. and Kim, Y. H., New characterizations of W-curves, Publ. Math. Debrecen 69(2006), 457-472.
  2. Eisenhart, Luther P., A treatise on the differential geometry of curves and surfaces, Dover Publications, Inc., New York, 1960.
  3. Kim, D.-S. and Kim, Y. H., A characterization of ellipses, Amer. Math. Monthly 114/1(2007), 65-69.
  4. Kim, D.-S., Kim, Y. H. and Park, J. H. Some properties of tangent lines of parabolas, submitted.
  5. Rademacher, H.; Toeplitz, O., The enjoyment of mathematics, Translated from the second (1933) German edition and with additional chapters by H. Zuckerman. Princeton Science Library, Princeton University Press, Princeton, NJ, 1994.
  6. Simmons, George F., Calculus with analytic geometry, 2nd ed., The McGraw-Hill Companies, Inc., New York, 1996.
  7. Stenlund, M., On the tangent lines of a parabola, College Math. J. 32 (2001), no. 3, 194-196. https://doi.org/10.2307/2687469
  8. Yu, Y. and Liu, L., A characterization of parabola, Bull. Korean Math. Soc. 45 (2008), No. 4, 631-634. https://doi.org/10.4134/BKMS.2008.45.4.631

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