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Theoretical Mechanics: An Introductory Treatise on the Principles of Dynamics (Classic Reprint)
by:A. E. H. Love
PRELIMINARY. CHAPTER I. INTRODUCTORY, 1. Mechanics is a Natural Science; its data are facts of experience, its principles are generalisations from experience. The possibility of Natural Science depends on a principle which is itself derived from multitudes of particular experiences-the " Principle of the Uniformity of Nature." This principle may be stated...
PRELIMINARY. CHAPTER I. INTRODUCTORY, 1. Mechanics is a Natural Science; its data are facts of experience, its principles are generalisations from experience. The possibility of Natural Science depends on a principle which is itself derived from multitudes of particular experiences-the " Principle of the Uniformity of Nature." This principle may be stated as follows-Natural events take place in invariable sequences. The object of Natural Science is the description of the facts of nature in terms of the rules of invariable sequence which natural events arc observed to obey. These rules of sequence, discovered by observation, suggest to our minds certain general notions in terms of which it is possible to state the rules in abstract forms. Such abstract formulas for the rules of sequence which natural events obey we call the " Laws of Nature." When any rule has been established by observation, and the corresponding Law formulated, it becomes possible to predict a certain kind of fTable of Contents CONTENTS; PRELIMINARY CHAPTER I; abts pases; 1 Nature of the subject 1-2; 2-6 Position, Time, arid Motion Frame of Reference 2-7; CHAPTER II; 7-13 Definition of a Vector Composition and Resolution of; Vectors 8-15; 14-27 Localised Vectors, Moments, and Couples Reduction of a; system of Vectors 16-29; CHAPTER III; 28-33 Definitions of Displacement, Velocity, and Acceleration SO-34; 34-38 Notation and Formula for Acceleration Circular Motion 34-88; 39, 40 Relative Motion 39-41; CHAPTER IV; 41-44 Uniformly Accelerated Motion Gravity 42-44; 45, 46 Parabolic Motion 44-47; 47-49 Simple Harmonic Motion 47-51; 50-52 Central Orbits 51-54; 63-57 Elliptic Motion Law of Inverse Square 54-59 58-62 Radial and Transversal Accelerations Differential Equation of Central Orbits 60-64; 63-66 Apses Stability of Circular Orbits 65-68; Exam
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