E605 -- De miris proprietatibus curvae elasticae sub aequatione y = ∫ (xx dx)/√(1-x4) contentae
(On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x4))
Summary:
According to the records, it was presented to the St. Petersburg Academy on September 4, 1775.
Publication:
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Originally published in Acta Academiae Scientarum Imperialis Petropolitinae 1786, 1786, pp. 34-61
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Opera Omnia: Series 1, Volume 21, pp. 91 - 118
Documents Available:
- Original Publication: 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 arithmetic-geometric mean, ellipses, pi, and the ladies-diary.” American Mathematical Monthly, 95 (7), pp. 585-608 (Aug-Sep 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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