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Titlebook: An Introduction to the History of Structural Mechanics; Part I: Statics and Edoardo Benvenuto Book 1991 Springer-Verlag New York Inc. 1991

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https://doi.org/10.1007/978-3-322-98864-5 measured except by its effects. If the first way can be differentiated from the second, the distinction must be an essential one, for the first way is alien to the language of mathematics. “Frankly,” Carnot adds,
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Wesen und Entwicklung des Staatesata are also different. He is interested not in motion, but in equilibrium; not in the causes of velocity, but in the effects of a weight suspended at the end of a balance arm, that is, at a distance from a fixed point.
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The Law of the Leverata are also different. He is interested not in motion, but in equilibrium; not in the causes of velocity, but in the effects of a weight suspended at the end of a balance arm, that is, at a distance from a fixed point.
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Methodological Preliminariesnement of mathematical (or non-mathematical) formalization. Someone asks a question, which leads to the development of the techniques needed to approach the question. We harvest the data and come up with a rule, a relation, a law, a generalization. Then we get on with the next question. This pattern
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The Law of the Leverid’s for geometry. In our discussion of his work, we shall confine our attention to a few passages in his treatise . (Περί’Επιπέδων ’Ισορροπι.ν). While Aristotle relates mechanics to a physical theory, aiming for a universal synthesis, Archimedes thinks of statics as a rational and autonomous scienc
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The Parallelogram of Forcesas a theory of forces, that is, of causes that provoke movements. The second considers it as a . in themselves.”. We know that Carnot unquestionably preferred the second, because the first “has the disadvantage of being based on a metaphysical and obscure notion, that is, .” —a cause which cannot be
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Galileo and His “Problem”parts: the first one concerns the power of acting or moving, the other the power of reacting or resisting, that is, the strength of bodies.”. According to Leibniz, therefore, the resistance of bodies is not merely one chapter of the many which make up mechanics; it is half of the entire discipline.
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The Initial Growth of Galileo’s Problemning to a less definite end. But the ideas presented in the Second Day had a less clear-cut fate. Their history is characterized by fragmentation; instead of a highway, we have dozens of footpaths, weaving all over the terrain, sometimes parallel, sometimes intersecting, never straightforward.
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