English Title
Research on the largest and the smallest which are found in the action of forces
Enestrom Number
145
Fuss Index
534
Original Language
French
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.)
Published as
Journal article
Published Date
1750
Written Date
1748
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