English Title

On the movement of bodies on movable surfaces


Leonhard Euler

Enestrom Number


Original Language


Content Summary

Euler looks at the motion of bodies that are constrained to move on a rigid curve that is either in free or rigid motion. Note that E826, E827, E828, and E829 all contain his earlier treatments of special cases of this problem. In this work, he uses a mathematically complex principle that is general in principle to solve some extremely difficult cases of this problem. For example, he solves the problem when a particle is free to move within a curved tube that is free in space. In addition, he foreshadows his theory of rigid bodies by looking at the case of a particle that is free to move in a tube that is given an assigned motion. (Based on Clifford Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances.)

Published as

Collection article

Published Date


Written Date


Original Source Citation

Opuscula varii argumenti, Volume 1, pp. 1-136.

Opera Omnia Citation

Series 2, Volume 6, pp.75-174.

Record Created


E086.intro.pdf (280 kB)
E086.I.pdf (1862 kB)
E086.II.pdf (4656 kB)
E086.III.pdf (1401 kB)
E086.intro.pdf (280 kB)

E086.I.pdf (1862 kB)

E086.II.pdf (4656 kB)

E086.III.pdf (1401 kB)

Included in

Mathematics Commons