Authors

Leonhard Euler

Enestrom Number

704

Fuss Index

151

Original Language

Latin

Content Summary

Euler begins with a cosine series f(φ) = a0 + a1∙cos(φ) + a2∙cos(2φ) + a3∙cos(3φ) + ... and shows that, for each n≥0, an = 2/π ∙∫ f(φ) dφ, where the integral in question is evaluated with bounds at 0 and π.

Published as

Journal article

Published Date

1798

Written Date

1777

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 11, pp. 114-132.

Opera Omnia Citation

Series 1, Volume 16A, pp.333-354.

Record Created

2018-09-25

Included in

Mathematics Commons

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