Inequalities for the perimeter of an ellipse

@article{Jameson2014InequalitiesFT,
  title={Inequalities for the perimeter of an ellipse},
  author={G. J. O. Jameson},
  journal={The Mathematical Gazette},
  year={2014},
  volume={98},
  pages={227 - 234}
}
  • G. Jameson
  • Published 1 July 2014
  • Mathematics
  • The Mathematical Gazette
The perimeter of the ellipse x 2/a 2 + y 2/b 2 = 1 is 4J (a, b), where J (a, b) is the ‘elliptic integral’ This integral is interesting in its own right, quite apart from its application to the ellipse. It is often considered together with the companion integral Of course, we may as well assume that a and b are non-negative. 
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