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A characterization of parabola
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초록
In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.
Abstract
In this paper, the parabola will be characterized as the plane curve whose curvature function and support function satisfy a condition, where we define the support function as the distance from origin to the tangent line.
참고문헌 (2)
- M. P. Do Carmo, "Differential Geometry of Curves and Surfaces" (1976), Prentice-Hall
- D.-S. Kim, "A characterization of ellipses", American Math Monthly, 114(1), pp.66~70 (2007)
관련 논문AI추천
Some Characterizations of Parabolas김동수, 김영호, 박종호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호Center of Gravity and a Characterization of Parabolas김동수, 김영호, 박숙희경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호Chord and area properties of strictly convex curves김동수, 김인천대한수학회 · 대한수학회논문집2021 · 제36권 제4호Area of triangles associated with a curve김동수, 심규철대한수학회 · 대한수학회보2014 · 제51권 제3호Areas associated with a Strictly Locally Convex Curve김동서, 김동수, 김영호, 배현선경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Some characterizations of conics and hypersurfaces with centrally symmetric hyperplane sections김동서, 김동수, 김원용, 방신옥대한수학회 · 대한수학회논문집2024 · 제39권 제1호
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