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Geometry |
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Authors: Harun Abdul Rohman
We refine the symmetric mean integral method for estimating the perimeter of an ellipse by restricting the integration limits to [0,π/4]. This approach allows the application of the squeeze theorem by leveraging the extremal behavior of the integrand, yielding explicit upper and lower bounds. The results provide a foundation for further research to derive improved perimeter estimates for ellipses.
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[v1] 2025-04-24 20:47:51
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