Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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AREA OF TRIANGLES ASSOCIATED WITH A CURVE

  • Kim, Dong-Soo (Department of Mathematics Chonnam National University) ;
  • Shim, Kyu-Chul (Department of Mathematics Chonnam National University)
  • Received : 2013.05.28
  • Published : 2014.05.31
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Abstract

It is well known that the area U of the triangle formed by three tangents to a parabola X is half of the area T of the triangle formed by joining their points of contact. In this article, we study some properties of U and T for strictly convex plane curves. As a result, we establish a characterization for parabolas.

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References

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  3. Center of Gravity and a Characterization of Parabolas vol.55, pp.2, 2015, https://doi.org/10.5666/KMJ.2015.55.2.473
  4. Areas associated with a Strictly Locally Convex Curve vol.56, pp.2, 2016, https://doi.org/10.5666/KMJ.2016.56.2.583
  5. AREA OF TRIANGLES ASSOCIATED WITH A STRICTLY LOCALLY CONVEX CURVE vol.37, pp.1, 2015, https://doi.org/10.5831/HMJ.2015.37.1.41
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