E9  De linea brevissima in superficie quacunque duo quaelibet puncta jungente
(On the shortest line joining two points on a surface)
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." Together with a paper
that Euler later published based on this homework assignment, this laid the first analytical
foundations for the calculus of variations. For a more detailed look at this paper, see
Ed Sandifer's
notes.
Publication:

Originally published in Commentarii academiae scientiarum Petropolitanae 3, 1732, pp. 110124

Opera Omnia: Series 1, Volume 25, pp. 1  12
 Reprinted in Comment. acad. sc. Petrop. 3, ed. nova, Bononiae 1742, pp. 99111 + 1 diagram
[E9a]
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