Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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LOWER BOUND OF LENGTH OF TRIANGLE INSCRIBED IN A CIRCLE ON NON-EUCLIDEAN SPACES

  • Chai, Y.D. (Department of Mathematics, SungKyunKwan University) ;
  • Lee, Young-Soo (Department of Mathematics, SungKyunKwan University)
  • Received : 2012.01.09
  • Accepted : 2012.01.25
  • Published : 2012.03.25
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Abstract

Wetzel[5] proved if ${\Gamma}$ is a closed curve of length L in $E^n$, then ${\Gamma}$ lies in some ball of radius [L/4]. In this paper, we generalize Wetzel's result to the non-Euclidean plane with much stronger version. That is to develop a lower bound of length of a triangle inscribed in a circle in non-Euclidean plane in terms of a chord of the circle.

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References

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