# First use of the term and principle of dynamic pressure — Daniel Bernoulli?

I have read in several places that both the developed concept and the term for dynamic pressure as it pertain to fluid dynamics was first published in Hydrodynamica by Daniel_Bernoulli, but I can not find any direct evidence of this. Assuming it is there, I assume that it would be in the original latin. Is there a linkable source where I could see it as originally written and defined? Either the original latin, or a scholarly translation into a different language if necessary.

If not a linkable source, even a screen shot of the relevant passage would also be helpful.

below: HYDRODYNAMICA, Danielis Bernoulli, from here.

The experiment described in Section 12, § 7 of the "Hydrodynamica" and depicted in the appendix (second picture from above on the left part of the page), can be described as follows: water flows out of a perforated tube and rises to the height of the water in a nearby manometer, thus establishing the equality of hydrostatic and hydrodynamic pressure. See also Mikhailov in: Grattan-Guinness, "Landmark Writings in Western Mathematics 1640-1940", Elsevier 2005.

Daniel's as well as Johann Bernoulli's treatises on hydraulics were translated into English by Carmody and Kobus.

See also the introduction to Leonardo Euleri Opera Omnia, Ser. II, Vol. 12, written by Clifford Truesdell.

• OK I'm enjoying these links very much, thank you! I wonder if there is any place in Hydrodynamica where at least the $v^2$ behavior of the dynamic pressure is shown. The simple form of the Bernoulli equation should have something that looks at least a bit like $v^2\rho/2 + p_{static}$ I'll keep reading...
– uhoh
Jul 18, 2017 at 6:17
• I don't think so. Daniel was not as good a mathematician as his father Johann, his reasoning was more verbal. In Johann's work Hydraulica, published in 1742, you will find more formulas and also the terms "vis hydrostatica" and "vis hydraulica" (see next page). Jul 18, 2017 at 19:39
• You've opened my eyes to the Bernoullis and their wide-ranging contributions, and to the idea that when researching something like Bernoulli's Equation, one doesn't necessarily find an explicit sentence such as "...and so my equation is:..." Thanks for your help!
– uhoh
Jul 23, 2017 at 6:52