remark 31.27 What the 1738 source contains

open in the book · parts/03-classical-mechanics/14-fluid-dynamics.tex:765 · p. 1049

remark -- no derivation owed by its kind

Rests on

depends_on phenomenon 31.25 Pressure falls where the flow speeds up ¶
- depends_on theorem 31.24 Bernoulli ¶
  - depends_on equation 31.4 eq:fluid-lamb-identity ¶
  - depends_on theorem 31.22 Euler's equations of motion ¶
    - depends_on definition 31.21 Ideal fluid ¶
      - depends_on definition 31.1 Fluid ¶
    - depends_on lemma 31.11 Transport theorem for a material volume ¶
      - depends_on definition 31.4 Material derivative ¶
      - depends_on theorem 7.133 Gauss ¶
      - proves proof ch:14-fluid-dynamics@proof-4 ¶
    - depends_on theorem 30.21 Cauchy's equation of motion ¶
      - depends_on theorem 7.133 Gauss ¶ ↺
      - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
      - proves proof ch:13-continuum-elasticity@proof-9 ¶
    - proves proof ch:14-fluid-dynamics@proof-11 ¶
  - proves proof ch:14-fluid-dynamics@proof-12 ¶
- proves proof ch:14-fluid-dynamics@proof-13 ¶

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type	direction	node	provenance	where
`cites` (history)	→	Hydrodynamica, sive de viribus et motibus fluidorum commentarii	derived	parts/03-classical-mechanics/14-fluid-dynamics.tex:767
`cites` (history)	→	Principes généraux du mouvement des fluides	derived	parts/03-classical-mechanics/14-fluid-dynamics.tex:773
`depends_on`	→	Pressure falls where the flow speeds up	declared	parts/03-classical-mechanics/14-fluid-dynamics.tex:778