A specimen of a singular algorithm
According to Jacobi, a treatise with this title was read to the Berlin Academy on July 21, 1757. According to St. Petersburg Academy records, it was presented to that Academy on October 15, 1759.
Euler presents elementary properties of continued fractions and convergents. This paper is related to E323, the solution to the Pell equation, and the Euclidean algorithm. It is also related to E454.
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 9, pp. 53-69.
Opera Omnia Citation
Series 1, Volume 15, pp.31-49.