English Title

On the shortest line joining two points on a surface

Authors

Leonhard Euler

Enestrom Number

9

Fuss Index

403

Original Language

Latin

English Summaries

This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked Euler to find the shortest line between two points on a surface. This work provided some of the first analytical foundations for the calculus of variations.

Published as

Journal article

Published Date

1732

Written Date

1730

Content Summary

This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked Euler to find the shortest line between two points on a surface. This work provided some of the first analytical foundations for the calculus of variations.

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 3, pp. 110-124.

Opera Omnia Citation

Series 1, Volume 25, pp.1-12.

Record Created

2018-09-25

Included in

Mathematics Commons

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