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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 473 - 484 (12page)
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초록· 키워드
오류제보하기
Archimedes determined the center of gravity of a parabolic section as follows.
For a parabolic section between a parabola and any chord AB on the parabola, let us denote by P the point on the parabola where the tangent is parallel to AB and by V the point where the line through P parallel to the axis of the parabola meets the chord AB.
Then the center G of gravity of the section lies on PV called the axis of the parabolic section with PG = 3 5PV . In this paper, we study strictly locally convex plane curves satisfying the above center of gravity properties. As a result, we prove that among strictly locally convex plane curves, those properties characterize parabolas.
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등록된 정보가 없습니다.
참고문헌 (25)
참고문헌 신청
Bae J. -S. / 2003 / A characterization of the unit sphere / Amer. Math. Monthly 110 (9) : 830 ~ 833
B´enyi ´A. / 2000 / Archimedean properties of parabolas / Amer. Math. Monthly 107 : 945 ~ 949
B´enyi ´A. / 2003 / A generalized Archimedean property / Real Anal. Exchange 29 (4) : 881 ~ 889
Chen B. -Y. / 2006 / New characterizations of W-curves / Publ. Math. Debrecen 69 (4) : 457 ~ 472
Dong-Soo Kim / 2015 / Area of triangles associated with a curve II / 대한수학회보 52 (1) : 275 ~ 286
B´enyi ´A. / 2000 / Archimedean properties of parabolas / Amer. Math. Monthly 107 : 945 ~ 949
B´enyi ´A. / 2003 / A generalized Archimedean property / Real Anal. Exchange 29 (4) : 881 ~ 889
Chen B. -Y. / 2006 / New characterizations of W-curves / Publ. Math. Debrecen 69 (4) : 457 ~ 472
Dong-Soo Kim / 2015 / Area of triangles associated with a curve II / 대한수학회보 52 (1) : 275 ~ 286
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