2014/01/19 by Kim, Dong-Soo, Shim, Kyu-Chul
#53A04 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1401.4751
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.