English Title

A specimen of a singular algorithm

Authors

Leonhard Euler

Enestrom Number

281

Fuss Index

92

Original Language

Latin

Published as

Journal article

Published Date

1764

Written Date

1757

Archive Notes

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.

Content Summary

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.

Record Created

2018-09-25

Included in

Mathematics Commons

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