English Title

An easy method for computing the natural and artificial sines and tangents of angles

Authors

Leonhard Euler

Enestrom Number

128

Fuss Index

328

Original Language

Latin

Published as

Journal article

Published Date

1750

Written Date

1739

Content Summary

Euler considers a kind of "shifted" sum of reciprocal squares, 1/(1±p) ± 1/(4±p) ± 1/(9±p) ± 1/(16±p) ± .... He uses this to evaluate some sines, cosines, log sines, log cosines, tangents, and cotangents to 20 decimal places.

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 11, pp. 194-230.

Opera Omnia Citation

Series 1, Volume 14, pp.364-406.

Record Created

2018-09-25

Included in

Mathematics Commons

Share

COinS