Exact Equation of Ellipse Perimeter by Analytical Method

Abolfazl Soltani

doi:10.33774/coe-2022-rskdp-v5

Mathematics

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Exact Equation of Ellipse Perimeter by Analytical Method

15 July 2022, Version 5

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Working Paper

Abolfazl Soltani

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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

As you know, we do not have any exact equation for calculating the perimeter of an ellipse. In this article, we obtain this equation analytically. This is the equation we have been looking for, at least since Leonhard Euler. In this article we will find a way for derivation of the solution of Elliptic integral in terms of elementary functions.

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