English Title

On the shortest line joining two points on a surface

Authors

Leonhard Euler

Enestrom Number

9

Fuss Index

403

Original Language

Latin

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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