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Original Articles

On a Classic Problem in the Calculus of Variations: Setting Straight Key Properties of the Catenary

Pages 103-115 | Received 17 Jul 2020, Accepted 19 Oct 2020, Published online: 07 Feb 2022

References

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  • Goldschmidt, C. W. B. (1831). Determinatio superficiei minimae rotatione curvae data duo puncta jungentis circa datum axem ortae, G öttingen Prize Essay. Göttingen: Typis Dieterichianis.
  • Kot, M. (2014). A First Course in the Calculus of Variations. Providence, RI: American Mathematical Society.
  • MacNeish, H. F. (1906). On the determination of a catenary with given directrix and passing through two given points, Ann. Math. 7(2): 65–71.
  • MacNeish, H. F. (1906). Concerning the discontinuous solution in the problem of the minimum surface of revolution, Ann. Math. 7(2): 72–80.
  • Sagan, H. (1992). Introduction to the Calculus of Variations. New York: Dover Publications.
  • Weinstock, R. (1974). Calculus of Variations. New York: Dover Publications.

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