English Title

On the most rapid (descending) motion of weights along curves of a specified type

Authors

Leonhard Euler

Enestrom Number

444

Fuss Index

472

Original Language

Latin

Content Summary

One problem Euler treats in this paper, as described by Homer White: Given two points A (higher) and B (lower), to find, among all semi-ellipses whose axes lie along the line AB, that semi-ellipse which permits the most rapid descent of a weight from A to B.

Published as

Journal article

Published Date

1773

Written Date

1772

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 17, pp. 488-504.

Opera Omnia Citation

Series 1, Volume 25, pp.236-249.

Record Created

2018-09-25

Included in

Mathematics Commons

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