AREA OF TRIANGLES ASSOCIATED WITH A CURVE

作者:Kim Dong Soo*; Shim Kyu Chul
来源:Bulletin of the Korean Mathematical Society, 2014, 51(3): 901-909.
DOI:10.4134/BKMS.2014.51.3.901

摘要

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.

  • 出版日期2014-5