E410 -- Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum

(Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic.)

(based on C. Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances)
Euler introduces the idea of resultant shear, and he derives the general differential equations for a deformable line bent in its own plane. Together with E481, Euler brings the elastica and catenary together in one conceptual framework.

According to the records, it was presented to the St. Petersburg Academy on January 14, 1771.

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