Abstract
1. Let any system be composed of as many bodies as desired, which I designate as A, B, C, D, etc. and let us suppose that these bodies are impelled by any forces φ, ψ, π, υ, etc., being A by the force φ, B by the force ψ, etc., and that at any instant these bodies move with velocities V, U, v, u, etc., being A with velocity V, B with velocity U, etc. It is easy to see that these bodies, if they were not impelled by the forces, φ, ψ, π, etc., and besides there was not any obstacle to their movement, they would retain in the next instant the velocities V, U, v, u with same direction.
This is a preview of subscription content, log in via an institution.
Notes
- 1.
“Si potentiæ illæ omnes augeantur aut minuantur in ratione quavis data”. Mss.8. “If all those powers were to increase or decrease in whatever ratio given.”
- 2.
In this article the letter g is used as the initial velocity, while in the preceding and followings articles it is a multiplicative factor. Also the velocity relation at any point is here called z with the same meaning as the former X.
- 3.
Strictly speaking the body mass should be introduced in the formula as, Rdx = − mudu.
- 4.
See Art. 87.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Simón Calero, J. (2018). Principles of Dynamics and Hydrodynamics Necessary for the Understanding of the Subsequent Propositions. 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_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-68000-2_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67999-0
Online ISBN: 978-3-319-68000-2
eBook Packages: HistoryHistory (R0)