Download e-book for iPad: A History of Mechanics by René Dugas

By René Dugas

ISBN-10: 0486656322

ISBN-13: 9780486656328

"A outstanding paintings so that it will stay a rfile of the 1st rank for the historian of mechanics." — Louis de Broglie
In this masterful synthesis and summation of the technological know-how of mechanics, Rene Dugas, a number one pupil and educator on the famed Ecole Polytechnique in Paris, bargains with the evolution of the rules of basic mechanics chronologically from their earliest roots in antiquity during the center 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 elements: the 1st treats of the pioneers within the examine 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 inventive and influential paintings of Galileo, Huygens and Newton. The 3rd half is dedicated to the eighteenth century, during which the association of mechanics unearths 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 nice innovators and the texts in their writings. the result's a really actual and target account, specifically thorough in its debts of mechanics in antiquity and the center a long time, 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, finished, replete with penetrating insights, A History of Mechanics is an strangely skillful and wide-ranging research that belongs within the library of a person drawn to the background of science.

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2 Concerning the natural motion of falling bodies, Aristotle maintained in Book I of the Treatise on the Heavens that the “relation which weights have to each other is reproduced inversely in their durations of fall. If a weight falls from a certain height in so much time, a weight which is twice as great will fall from the same height in half the time. ” In his Physics (Part V), Aristotle remarked on the acceleration of falling heavy bodies. A body is attracted towards its natural place by means of its heaviness.

Suppose that there is, in the fluid, another solid RSQY which is made of the fluid and is equal and similar to BHTC, that part of the body EHTF which is immersed in the fluid. The portions of the fluid which are contained by the surface XO in the first pyramid and the surface OP in the second pyramid are equally placed and continuous with each other. But they are not equally compressed. For the portions of the fluid contained in XO are compressed by the body EHTF and also by the fluid contained by the surfaces LM, XO and those of the pyramid.

He sets out to determine the relation between γ and θ. The weight α on the plane μ has the form of a sphere with centre ε. Pappus reduces the investigation of the equilibrium of this sphere on the inclined plane to the following problem. A balance supported at λ carries the weight α at ε and the weight β which is necessary to keep it in equilibrium at η—the end of the horizontal radius εη. The law of the angular lever, which Pappus borrows from Archimedes’ Πε ζυγν or from Hero’s Mechanics, provides the relation On the horizontal plane where the power necessary to move α is γ, the power necessary to move along β will be Pappus then assumes that the power θ that is able to move the weight α on the inclined plane μ will be the sum of the powers δ and γ, that is Fig.

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A History of Mechanics by René Dugas

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