A History of Mechanics by René Dugas PDF

By René Dugas

ISBN-10: 0486656322

ISBN-13: 9780486656328

"A awesome paintings in order to stay a record of the 1st rank for the historian of mechanics." — Louis de Broglie
In this masterful synthesis and summation of the technology of mechanics, Rene Dugas, a number one student and educator on the famed Ecole Polytechnique in Paris, offers with the evolution of the foundations of common mechanics chronologically from their earliest roots in antiquity during the heart a while to the progressive advancements in relativistic mechanics, wave and quantum mechanics of the early twentieth century.
The current quantity is split into 5 components: the 1st treats of the pioneers within the learn of mechanics, from its beginnings as much as and together with the 16th century; the second one part discusses the formation of classical mechanics, together with the enormously artistic and influential paintings of Galileo, Huygens and Newton. The 3rd half is dedicated to the eighteenth century, during which the association of mechanics reveals its climax within the achievements of Euler, d'Alembert and Lagrange. The fourth half is dedicated to classical mechanics after Lagrange. partly 5, the writer undertakes the relativistic revolutions in quantum and wave mechanics.
Writing with nice readability and sweep of imaginative and prescient, M. Dugas follows heavily the information of the good innovators and the texts in their writings. the result's a really exact and target account, specifically thorough in its bills of mechanics in antiquity and the center a while, and the real contributions of Jordanus of Nemore, Jean Buridan, Albert of Saxony, Nicole Oresme, Leonardo da Vinci, and plenty of different key figures.
Erudite, complete, replete with penetrating insights, A History of Mechanics is an strangely skillful and wide-ranging research that belongs within the library of an individual drawn to the background of science.

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Example text

From this starting point, the following propositions derive in a logical sequence. — If a surface is intersected by a plane which always passes through the same point and if the section is a circumference (of a circle) having this fixed point as its centre, the surface is that of a sphere. —The surface of any fluid at rest is spherical and the centre of this surface is the same as the centre of the Earth. This result had already, as we have seen, been enunciated by Aristotle. —If a body whose weight is equal to that of the same volume of a fluid (α) is immersed in that fluid, it will sink until no part of it remains above the surface, but will not descend further.

If the fluid is at rest, parts which are equivalently placed will be similarly compressed. Then the fluid contained by each of the surfaces XO and OP is compressed by an equal weight. But, if the body BHTC is excluded, the weight of fluid in the first pyramid is equal, with the exclusion of the fluid RSQY, to the weight of fluid in the second pyramid. Therefore it is clear that the weight of the body EHTF is equal to the weight of the fluid RSQY. From which it follows that a volume of fluid equal to that of the body which is immersed has the same weight as the whole body.

But the weight of the fluid contained between MN and OP is less than the combined heaviness of the fluid between LM and XO and the solid. For the solid RSQY is smaller than the solid EHTF—RSQY is equal to BHTC—and it has been assumed that the body immersed has, volume for volume, the same heaviness as the fluid. If therefore one takes away the parts which are equal to each other, the remainder will be unequal. Consequently it is clear that the part of the fluid contained in the surface OP will be driven along by the part of the fluid contained in the surface XO, and that the fluid will not remain at rest.

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A History of Mechanics by René Dugas


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