Baltimore Lectures on Molecular Dynamics and the Wave Theory of Light

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C.J. Clay and Sons, 1904 - 703 pages
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Page 496 - The only assumption which is necessary for the direct proof is that the system, if left to itself in its actual state of motion, will, sooner or later, pass through every phase which is consistent with the equation of energy.
Page 597 - ... begin with about an inch of amplitude, and a couple of inches long ; they enlarge as the velocity or duration of the wave increases; by and by conterminal waves unite; the ridges increase, and if the wind increase the waves become cusped, and are regular waves of the second order. They continue enlarging their dimensions; and the depth to which they produce the agitation increasing simultaneously with their magnitude, the surface becomes extensively covered with waves of nearly uniform magnitude.
Page 668 - It is also wonderful how much towards explaining the crystallography and elasticity of solids, and the thermo-elastic properties of solids, liquids, and gases, we find without assuming more than one transition from attraction to repulsion.
Page 9 - In the first place we must not listen to any suggestion that we must look upon the luminiferous ether as an ideal way of putting the thing. A real matter between us and the remotest stars I believe there is, and that light consists of real motions of that matter, motions just such as are described by Fresnel and Young, motions in the way of transverse vibrations. If I knew what the...
Page 103 - It is evident that such a medium, on being agitated, would give out the note above mentioned ; while, on the other hand, if that note were sounded in air at a distance, the incident vibrations would throw the strings into vibration, and consequently would themselves be gradually extinguished, since otherwise there would be a creation of vis viva. The optical application of this illustration is too obvious to need comment.
Page 527 - Even if we regard the atoms as mere points, whose "rotation means nothing, there must still exist energy of the " last-mentioned kind, and its amount (according to law) should " not be inferior. " We are here brought face to face with a fundamental difficulty, " relating not to the theory of gases merely, but rather to general " dynamics. In most questions of dynamics, a condition whose "violation involves a large amount of potential energy may be "treated as a constraint. It is on this principle...
Page 264 - ... and potential energy, of the disturbance in a certain space traversed by it ; and from all we know of the mechanical theory of undulations, it seems certain that this velocity must be a very small fraction of the velocity of propagation in the most intense light or radiant heat which is propagated according to known laws. Denoting this velocity for the case of sunlight at the earth's distance from the sun by v, and calling W the mass in...
Page 578 - Dr Tyndall finds that when a cylinder of ice is placed between two slabs of box-wood, and subjected to gradually increasing pressure, a dim cloudy appearance is observed, which he finds is due to the melting of small portions of the ice in the interior of the mass. The...
Page 468 - electro-magnetic theory of light " does not cut away this foundation from the old undulatory theory of light. It adds to that primary theory an enormous province of transcendent interest and importance ; it demands of us not merely an explanation of all the phenomena of light and radiant heat by transverse vibrations of an elastic solid called ether, but also the inclusion of electric currents, of the permanent magnetism of steel and lodestone, of magnetic force, and of electrostatic force, in a...
Page 667 - Boscovichian foundation for the elasticity of solids with no inter-molecular vibrations is the subject of §§ 62 — 71 below. A few preliminary remarks here may be useful. § 18. Every infinite homogeneous assemblage* of Boscovich atoms is in equilibrium. So, therefore, is every finite homogeneous assemblage, provided that extraneous forces be applied to all within influential distance of the frontier, equal to the forces which a homogeneous continuation of the assemblage through influential distance...

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