English Title

On progressions of arcs of circles, of which the accompanying tangents proceed by a certain law

Authors

Leonhard Euler

Enestrom Number

280

Fuss Index

147

Original Language

Latin

Published as

Journal article

Published Date

1764

Written Date

1758

Archive Notes

According to Jacobi, a treatise with this title was read to the Berlin Academy on November 23, 1758. According to St. Petersburg Academy records, it was presented to that Academy on October 15, 1759.

Content Summary

Euler converts arctangents of reciprocals of quadratics into continued fractions and then gets some angles as continued fractions of quadratics. Faber says this is related to E74.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 9, pp. 40-52.

Opera Omnia Citation

Series 1, Volume 15, pp.16-30.

Record Created

2018-09-25

Included in

Mathematics Commons

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