1. Area Properties of Strictly Convex Curves
- Author
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Dong-Soo Kim, Young Ho Kim, and Yoon-Tae Jung
- Subjects
Archimedes ,level curve ,chord ,conic section ,strictly convex plane curve ,curvature ,equiaffine transformation ,Mathematics ,QA1-939 - Abstract
We study functions defined in the plane E 2 in which level curves are strictly convex, and investigate area properties of regions cut off by chords on the level curves. In this paper we give a partial answer to the question: Which function has level curves whose tangent lines cut off from a level curve segment of constant area? In the results, we give some characterization theorems regarding conic sections.
- Published
- 2019
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