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On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body: The Second Part of a New Edition of a Treatise on Dynamics (Classic Reprint) - Softcover
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Excerpt from On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body: The Second Part of a New Edition of a Treatise on Dynamics
I have also modified, in some measure, the statement of the principles introduced in this volume. The only place in which any new principles are needed, in addition to those which are contained in the former part of the work, is in the problems respecting the motion of a rigid body. I have now presented the fundamental principle on which the solution of all such problems must depend, as an extension of the third law of motion: this is, I conceive, the true nature of this principle, in whatever way it be stated - whether as an as sertion of the equivalence of the impressed and effective forces, or of the equality of action and reaction, or of the equilibrium of forces lost, or in whatever other manner.
For the purpose of making the present volume more inde pendent, and also with the hope of pointing out the logical connexion of the fundamental principles of mechanics, I will place at the end of this preface a brief statement, Of these principles.
It will be found that in this statement they are made to depend upon certain general principles respecting cause and effect, action and reaction. To some persons it may appear that any reference to such general notions as these must necessarily be vague and barren; but to this we may reply, that the generality of these notions is the condition and foun dation of the generality of our scientific knowledge; that if we did not recognize the universal truth of the axioms concerning cause and effect, action and reaction, it would be impossible for us to have any knowledge concerning the laws by which force and matter are universally governed. Particular facts could not produce general knowledge, if it were not that the constitution of our minds leads us to apprehend particulars as cases of generals; and this constitution exhibits itself in the notions of cause and effect, action and reaction.
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On the Motion of Points Constrained and Resisted (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book belongs to the field of dynamics, a branch of physics that deals with the motion of bodies. It delves into the intricate relationship between force, mass, and motion. With the utilization of differential calculus, a mathematical tool introduced by Newton, the author approaches this subject from a new angle, refining and expanding upon the foundational principles established by the great physicist. His work in this field contributed to the development of calculus as a whole. The applications of this synergy between dynamics and calculus are vast; they range from analyzing the movement of celestial bodies to comprehending the behavior of earthly objects under the influence of various forces. This book is a testament to the profound insights gained when these two disciplines are combined, uniting the abstract elegance of mathematics with the practical understanding of the physical world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332618149_0
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On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body The Second Part of a New Edition of a Treatise on Dynamics Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332618149
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On the Motion of Points Constrained and Resisted, and on the Motion of a Rigid Body The Second Part of a New Edition of a Treatise on Dynamics Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332618149
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