E73 -- Solutio Problematis geometrici circa lunulas a circulis formatas
(The solution to a geometric Problem about circles shaped as moons)
In this paper, Euler presents his solution, invovling the arcsine function, to a problem of Daniel Bernoulli (that Euler heard about through Goldbach) that is related to dissecting certain circles into pieces, all of which have equal area.
According to the records, it was presented to the St. Petersburg Academy on September 16, 1737.
Originally published in Commentarii academiae scientiarum Petropolitanae 9, 1744, pp. 207-221
Opera Omnia: Series 1, Volume 26, pp. 1 - 14
- A handwritten French translation of this treatise can be found in the library of the observatory in
Uccle, near Brussels.
Return to the Euler Archive