- Volume 51 Issue 3
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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
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.
triangle;area;parabola;strictly convex curve;plane curvature
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