Inhaltsangabe
PREFACE. I N the first edition of this treatise the subject of Attractions wru; presented only in its gravitational aspect. '!'his limi tation was formerly customary, when electricity was less studied than now, but the result has become somewhat unsatisfa.ctory. When lecturing on the subject the Author found that some of the most striking examples of Attraction were. those derived from the theory of electricity. While it Wa.9 impo!Sible wholly to pass these over, it appeared that the interest in them was sensibly diminished if they were discussed without explanations of their meaning. Examples on the attractions of thin layers of matter, subject to what appeared to be arbitrary laws, seemed to have no real applications. For these reasons a selection has been made of those propositions in Ma.gnetism and Electl'icity which appea.red most forcibly to illustrate the theory of Attraction. These havo been joined together, with brief introductions, so as to form a. 000-
Table of Contents
CONTENTS; ATTRACTIONS; I ntroductoryremct·rks; JJaw of attr!lction, unit~ and maguitude; Law of the direct distance; i1ttmction of Rods, Discs, &:c; Components and resultant attroction; Attraction of an infinite eylinder; Eumples and theorems on rods; Curvilinear rods Examples !lnd theorems; Some inverse problems; Circular disc Infinite plato Young's rule; Attraction of cylinders; Attraotion of a lamina PlayCair's rule ; Solid of greatest attr!lction; Attr:lction of mountains i density or the e!lrth; The Pot6ntial; Relations of force to potential; Work and potential ; Level surfaces, VBrlOna theorems; Potentials of rodi! Rl!ctiljnear lamina, with confocal lovel; snrfaces See also Art 253; Circle of parallel rodl! A discontinuity; Dil)C8 and cyllcders ; Attraction of & homogeneous cylindrical ahell at (1) an internal,; (2) an external, point; A heteogeJH10UB CyliDdriC!l1 shell; Systems oC particles, mutual work •; fAG);!;; 1
Reseña del editor
PREFACE. I N the first edition of this treatise the subject of Attractions wru; presented only in its gravitational aspect. '!'his limi tation was formerly customary, when electricity was less studied than now, but the result has become somewhat unsatisfa.ctory. When lecturing on the subject the Author found that some of the most striking examples of Attraction were. those derived from the theory of electricity. While it Wa.9 impo!Sible wholly to pass these over, it appeared that the interest in them was sensibly diminished if they were discussed without explanations of their meaning. Examples on the attractions of thin layers of matter, subject to what appeared to be arbitrary laws, seemed to have no real applications. For these reasons a selection has been made of those propositions in Ma.gnetism and Electl'icity which appea.red most forcibly to illustrate the theory of Attraction. These havo been joined together, with brief introductions, so as to form a. 000-
Table of Contents
CONTENTS; ATTRACTIONS; I ntroductoryremct·rks; JJaw of attr!lction, unit~ and maguitude; Law of the direct distance; i1ttmction of Rods, Discs, &:c; Components and resultant attroction; Attraction of an infinite eylinder; Eumples and theorems on rods; Curvilinear rods Examples !lnd theorems; Some inverse problems; Circular disc Infinite plato Young's rule; Attraction of cylinders; Attraotion of a lamina PlayCair's rule ; Solid of greatest attr!lction; Attr:lction of mountains i density or the e!lrth; The Pot6ntial; Relations of force to potential; Work and potential ; Level surfaces, VBrlOna theorems; Potentials of rodi! Rl!ctiljnear lamina, with confocal lovel; snrfaces See also Art 253; Circle of parallel rodl! A discontinuity; Dil)C8 and cyllcders ; Attraction of & homogeneous cylindrical ahell at (1) an internal,; (2) an external, point; A heteogeJH10UB CyliDdriC!l1 shell; Systems oC particles, mutual work ·; fAG);!;; 1
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