Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 1997.07.01
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Abstract

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.

Keywords

References

  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