English Title

Thoughts on a nautical problem, proposed by the illustrious Royal Academy of Sciences in Paris

Authors

Leonhard Euler

Enestrom Number

4

Fuss Index

601

Original Language

Latin

Published as

Paris prize article

Published Date

1728

Written Date

1726

Content Summary

Euler uses mechanics to design ships. He adopts Newton's law of resistance (which says that the pressure exerted by a fluid acting against a plane surface is proportional to the square of the speed, neglecting back pressure) by interpreting it as a statement about differential elements of surface. He calls this assumption "the common hypothesis" and uses it to calculate the total resistance, via integration. In this way, he arrives at definite answers (often in elegant, explicit forms) that allow for both quantitative and qualitative conclusions that he develops and interprets clearly. (Based on Clifford Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances.)

Original Source Citation

Pièce qui ont remporté le prix de l'académie royale des sciences, Volume 1727, pp. 1-48.

Opera Omnia Citation

Series 2, Volume 20, pp.1-35.

Record Created

2018-09-25

Included in

Mathematics Commons

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