A History of Mechanics by René Dugas

By René Dugas

"A amazing paintings with a purpose to stay a record 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, offers with the evolution of the rules of common mechanics chronologically from their earliest roots in antiquity during the heart a long time to the innovative 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 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 drastically inventive 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. partially 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 guidelines of the nice innovators and the texts in their writings. the result's an extremely actual and target account, in particular thorough in its debts 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, entire, replete with penetrating insights, A History of Mechanics is an surprisingly skillful and wide-ranging research that belongs within the library of an individual drawn to the heritage of science.

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Mr. Dugas’ attitude is quite different. A scrupulous historian, he has patiently followed all the vagaries of thought of the great students of the subject, collating their texts carefully and always preserving the strictest objectivity. More impartial than Mach, Mr. Dugas has been helped by the development of historical criticism on the one hand, by the progress of science on the other, and has been able to be more complete. He has given us a much more detailed picture of the efforts that were made and the results obtained in Antiquity and, especially, in the Middle Ages.

Dugas’ attitude is quite different. A scrupulous historian, he has patiently followed all the vagaries of thought of the great students of the subject, collating their texts carefully and always preserving the strictest objectivity. More impartial than Mach, Mr. Dugas has been helped by the development of historical criticism on the one hand, by the progress of science on the other, and has been able to be more complete. He has given us a much more detailed picture of the efforts that were made and the results obtained in Antiquity and, especially, in the Middle Ages.

The proof that we shall analyse now is taken from Book VIII of his Collections (From among the varied and delightful problems of mechanics). Pappus assumes that a certain effort γ is necessary to move a weight α on the horizontal plane μν, and that a power θ is necessary to draw it up the inclined plane μ. 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.

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