E111 -- Scientia Navalis, volume 2
(Naval Science, volume 2)
Originally published with the full title: Scientia navalis seu tractatus de construendis ac dirigendis navibus Pars posterior in qua
rationes ac praecepta navium construendarum et gubernandarum fusius exponuntur auctore
Leonhardo Euler prof. honorario academiae imper. scient. et directore acad. reg. scient.
Borussicae. Instar supplementi ad tom. I. novorum commentar. acad. scient. imper. Petropoli
typis academiae scientiarum MDCCXLIX.
(based on C. Truesdell's An idiot's fugitive essays on science: methods, criticisms, training,
circumstances and his introduction of Opera Omnia Series II, Volume 12)
This is the second volume of a book enunciating for the first time the principles of
hydrostatics. See the first volume, E110,
for a general description of this book. In this volume, Euler looks at the rules and precepts
for constructing and steering ships. In chapter 4, given an arbitrary floating body in various modes of
oscillation, he calculates the length of an equivalent pendulum. This technique has become a part of
More specifically, he considers
- ships in general;
- the equilibrium of ships;
- the stability of equilibrium;
- the oscillations of ships;
- inclination under the influence of arbitrary forces;
- the effect of rudders;
- the effect of oars;
- the construction of rowed ships;
- the force exerted by the wind on a sail;
- masting of sailing ships;
- a ship on a skew course.
Originally published as a book in 1749
Opera Omnia: Series 2, Volume 19
- A handwritten French translation of this treatise can be found in the library of the observatory in
Uccle, near Brussels.
- Original Document: To reduce the size of each file, E111 is archived in several parts:
- E111 is discussed in Ed Sandifer's How Euler Did It February
2004 column published online by the MAA.
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