Abstract
Under this title three type of motions are included, the flow in a vessel, the river currents and the jet against a plate; they all are somewhat related to the general theory. Furthermore we add the motion by plane sections, although we have found it difficult to classify.
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Notes
- 1.
Instead of dθ/dt = g, it is dθ/dt = 1, and θ = 1.
- 2.
It was published in Memoirs of the Berlin Academy, vol. XVI, 1767. The date of presentation was given by Jacobi.
- 3.
Grimberg [1998], p. 73–75.
- 4.
Simón Calero [2008], p. 137-ss.
- 5.
Jean-Baptiste du Hamel in his Regiæ Scientarum Academiæ Historia Parisiis, quoted experiments in 1669.
- 6.
Comm. Acad. Petrop. Vol. VIII, “De legibus quibusdam mechanicis…, 1736 (1741).
- 7.
Comm. Acad. Petrop., “Vi venæ aquæ contra planum incurrentis experiment”, Vol. VIII, 1736 (1741).
- 8.
Ibid.
- 9.
Traité de l’équilibre, §.10.
- 10.
In terms of xy, \( \frac{ds}{dx}=\sqrt{1+y{\prime}^2} \) and \( \frac{d^2s}{d{x}^2}=\frac{y^{\prime }{y}^{{\prime\prime} }}{2\sqrt{1+y{\prime}^2}} \).
Bibliography
Secondary Sources
Grimberg, Gérard. 1998. D’Alembert et les équations aux dérivées partielles en hydrodynamique. Doctoral thesis, University of París 7, Denis Diderot.
———. 2008. The Genesis of the Fluid Mechanics, 1640–1780. Dordrecht: Springer.
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Simón Calero, J. (2018). Other Motions. In: Calero, J. (eds) Jean Le Rond D'Alembert: A New Theory of the Resistance of Fluids. Studies in History and Philosophy of Science, vol 47. Springer, Cham. https://doi.org/10.1007/978-3-319-68000-2_20
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