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| 9 | On the shortest line joining two points on a surface |
| 27 | On isoperimetric problems in the widest sense |
| 42 | On the curve of fastest descent in whatever resistent medium |
| 56 | New and easy method of finding curves enjoying a maximal or minimal property |
| 65 | A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense |
| 84 | Observation by Leonhard Euler on sections 83 and following of the preceding book, concerning elastic curves |
| 99 | The solution to a certain problem proposed by the celebrated Daniel Bernoulli |
| 250 | A method for finding infinitely many isoperimetric curves predicated with a common property |
| 296 | The Elements of the Calculus of Variations |
| 297 | Explanation of the analytical method in the maxima and minima |
| 420 | A new and easy method for treating the calculus of variations |
| 444 | On the most rapid (descending) motion of weights along curves of a specified type |
| 501 | Considerations about brachistochrones |
| 727 | A more accurate treatment of the problem of drawing the shortest line on a surface |
| 731 | The solution of a memorable problem by a special artifice of calculation |
| 735 | On an outstanding paradox, which occurs in the analysis of maximums and minimums |
| 740 | De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae |
| 759 | A more accurate investigation into brachistochrones |
| 760 | De vera brachystochrona seu linea celerrimi descensus in medio resistente |
| 761 | De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur |