E448 -- Nova series infinita maxime convergens perimetrum ellipsis exprimens
(A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly)
According to the records, it was presented to the St. Petersburg Academy on May 18, 1772.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 18, 1774, pp. 71-84
Opera Omnia: Series 1, Volume 20, pp. 357 - 370
- Original publication: E448
- German translation (Artur Diener and Alexander Aycock): E448
- 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 E448 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).
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