Bernoulli's Hanging Chain Problem/Historical Note
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Historical Note on Bernoulli's Hanging Chain Problem
This problem was first discussed by Daniel Bernoulli around the year $1732$.
In $1781$ Leonhard Paul Euler took up the problem, and found a solution for the special case: $u \dfrac {\d^2 y} {\d u^2} + \dfrac {\d y} {\d u} + y = 0$
Sources
- 1732: Daniel Bernoulli: Theoremata de oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae (Commentarii Acad. Sci. Imp. Pet. Vol. 6: pp. 108 – 122)
- 1781: Leonhard Paul Euler: De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit (Acta Academiae Scientiarum Imperialis Petropolitanae Vol. 1777: pp. 159 – 182)
- 1922: Andrew Gray and G.B. Mathews: A Treatise on Bessel Functions (2nd ed.) ... (previous): Chapter $\text{I}$: Introductory: $\S 1$. Bernoulli's Problem