Bull. Korean Math. Soc. 2014; 51(3): 901-909
Published online May 31, 2014 https://doi.org/10.4134/BKMS.2014.51.3.901
Copyright © The Korean Mathematical Society.
Dong-Soo Kim and Kyu-Chul Shim
Chonnam National University, Chonnam National University
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.
Keywords: triangle, area, parabola, strictly convex curve, plane curvature
MSC numbers: 53A04
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