English Title

Research on the largest and the smallest which are found in the action of forces

Authors

Leonhard Euler

Enestrom Number

145

Fuss Index

534

Original Language

French

Published as

Journal article

Published Date

1750

Written Date

1748

Content Summary

Euler shows that any discrete system obeys the Maupertuis principle; from this result, he derives the general equation for the balance of moments in a plane elastica, which includes the general catenary as a special case. He also proves that Daniel Bernoulli's principle for the elastica that is free of distributed loads is also a special case of this general equation. (Based on Clifford Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances.)

Original Source Citation

Mémoires de l'académie des sciences de Berlin, Volume 4, pp. 149-188.

Opera Omnia Citation

Series 2, Volume 5, pp.1-37.

Record Created

2018-09-25

Included in

Mathematics Commons

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