E481 -- De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu

(English Translation of Title)


Summary:
(based on C. Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances)
Euler considers general linear continua, where the body in question is an unknown curve but is described with respect to a known reference curve. In this case, Euler interprets the integral as integration along the reference curve. Together with E410, Euler brings the elastica and catenary together in one conceptual framework.

According to the records, it was presented to the St. Petersburg Academy on October 31, 1774.

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