E264 -- Demonstratio theorematis et solutio problematis in actis erud. Lipsiensibus propositorum
(Proof of a theorem and solution of a theorem proposed in the Acta Eruditorum of Leipzig)
Euler looks at properties of the elliptic integral. The theorem is: “Semissis ellipseos quaeque ita secatur ut partium
differentia sit geometrice assignabilis.” The problem is: “Constructio geometrica arcus postulatur, qui sit semissis
quadrantis elliptici.” Also see 1754 (E211).
According to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on
February 13, 1755.
According to the records, it was presented to the St. Petersburg Academy on
August 18, 1755.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 7, 1761, pp. 128-162
Opera Omnia: Series 1, Volume 20, pp. 201 - 234
- Original Publication: E264
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