E605  De miris proprietatibus curvae elasticae sub aequatione \(y = \int\!\frac{xx\,dx}{\sqrt{1x^4}}\) contentae
(On the remarkable properties of the elastic curves under the equation \(\displaystyle y = \int\!\frac{xx\,dx}{\sqrt{1x^4}}\))
Summary:
According to the records, it was presented to the St. Petersburg Academy on September 4, 1775.
Publication:

Originally published in Acta Academiae Scientarum Imperialis Petropolitinae 1786, 1786, pp. 3461

Opera Omnia: Series 1, Volume 21, pp. 91  118
Documents Available:
 Original Publication: E605
 German Translation (Artur Diener and Alexander Aycock): E605
 The Euler Archive attempts to monitor current scholarship for articles and books that may be of interest to Euler Scholars. Selected references we have found that discuss or cite E605 include:
 Almkvist G, Berndt B., “Gauss, Landen, Ramanujan, the arithmeticgeometric mean, ellipses, pi, and the ladiesdiary.” American Mathematical Monthly, 95 (7), pp. 585608 (AugSep 1988).
 Moll VH, Neill PA, Nowalsky JL, Solanilla L.,
" A property of Euler's elastic curve ."
 Moll VH, Nowalsky JL, Solanilla L.,
"The story of Landen, the hyperbola,
and the ellipse."
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