대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권3호
  • /
  • Pages.679-683
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

AN ESTIMATE OF THE AREA OF CONSTANT BREADTH CURVES

  • Chai, Y.D. (Department of Mathematics, Sung Kyun Kwan University) ;
  • Kim, Yong-Il (Department of Mathematics, Sung Kyun Kwan University)
  • 발행 : 1997.07.01
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초록

We obtain new upper bound of the area of a constant breath curve. We estimate the area of a constant breadth curve in terms of its breadth and minimal radius and the arc length of its pedal curve.

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참고문헌

  1. Convexity and its applications Convex bodies of constant width G. D. Chakerian;H. Groemer;P. M. Gruber(ed.);J. M. Wills(ed.)
  2. Modern differential geometry of curves and surfaces A. Gray
  3. Handbook of convex geometry P. M. Gruber;J. M. Wills
  4. Amer. Math. Monthly v.64 Curves with a kind of constant width Paul J. Kelly
  5. Integral geometry and geometric probability L. A. Santalo
  6. Convex figures I. M. Yaglom;V. G. Boltyanskii