## E506 -- Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali $$\frac{dx}{\sqrt{X}} = \frac{dy}{\sqrt{Y}}$$

(Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation $$\displaystyle \frac{dx}{\sqrt{X}} = \frac{dy}{\sqrt{Y}}$$)

Summary:

According to the records, it was presented to the St. Petersburg Academy on October 16, 1777.

Publication:
• Originally published in Acta Academiae Scientarum Imperialis Petropolitinae 1778, 1780, pp. 20-57
• Opera Omnia: Series 1, Volume 21, pp. 1 - 38
• Reprinted in Institutiones calculi integralis 4, 1794, pp. 465-503 [E506a]; ed. tertia 4, 1845, pp. 465-503 [E506b]
Documents Available:
• Original Publication: E506