The London, Edinburgh and Dublin Philosophical Magazine and Journal of ScienceTaylor & Francis, 1916 - Physics |
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Common terms and phrases
anatase angle apparatus approximately axis boundary bulb c.c. per second cadmium calculated carbon cathode cell coil collisions components constant Corbino effect corresponding crystal curve density determined diameter discharge disk distance electric force electrometer electrons energy equation Eskdalemuir experimental experiments film formula function galvanometer given gives Hall effect heat hydrogen increase integral intensity ionization J. J. Thomson lattice light liquid logarithms magnetic field maximum measured mercury vapour metal method mirror mobility molecular molecules negative ion normal observed obtained oxygen atoms Phil plane plate polarization positive ions potential difference pressure prism quartz quaternion radiation radium radius ratio rays reflexion refractive refractive index refractometer resonance rutile shown solution spectra spectrograph spectrum surface Table temperature tetragonal theory thickness tube variation vector velocity vibration volts wave-length xenotime zero zircon
Popular passages
Page 495 - I myself, when expounding publicly in London their doctrine to my auditors in Gresham College, remarked that it would be much more convenient that 0 should stand for the logarithm of the whole sine, as in the Canon Mirificus, but that the logarithm of the tenth part of the whole sine,
Page 495 - in this manner, that 0 should become the logarithm of unity, and 10,000,000,000 that of the whole sine ; which I could not but admit was by far the most convenient of all. So, rejecting those which I had already prepared, I commenced, under his encouraging counsel, to ponder seriously about the calculation of these tables."
Page 495 - published those he had already prepared, until he could construct tables more convenient, if other weighty matters and his frail health would permit him so to do. But he conceived that the change ought to be effected in this manner, that 0 should become the logarithm of unity, and 10,000,000,000 that of the whole sine
Page 543 - 1916. LIX. On Convection Currents in a Horizontal Layer of Fluid, when the Higher Temperature is on the Under Side. By Lord
Page 554 - of a nearly evanescent n is probably the more practical. In an experiment the temperature gradient could not be established all at once and we may suppose the progress to be very slow. In the earlier stages the equilibrium would be stable, so that no disturbance of importance would occur until n
Page 367 - may be conceived to differ- from the old merely by the introduction of an additional constraint. Springs, without inertia, are supposed to urge the line of the proposed boundary towards its equilibrium position, and gradually to become stiffer. At each step the vibrations become more rapid, until they approach a limit corresponding to infinite stiffness of the springs and absolute fixity of
Page 547 - ff , ... (3) z being measured upwards. In equations (1) p is variable in consequence of variable temperature and variable pressure. But, as Boussinesq * has shown, in the class of problems under consideration the influence of pressure is unimportant and even the variation with temperature may be disregarded except in so far as it modifies the operation of gravity. If we write
Page 2 - There is no difficulty in the first steps for obstacles in the form of spheres or cylinders, and I will detail especially the treatment in the latter case. If U, parallel to 0=0, denote the uniform velocity of the stream at a distance, the velocitypotential for the motion of incompressible fluid is known to be
Page 544 - arising is of interest for more than one reason. In general, when a system falls away from unstable equilibrium it may do so in several principal modes, in each of which the departure at time t is proportional to the small displacement or velocity supposed to be present initially, and to an exponential factor
Page 497 - in the theory of logarithms and the possibility of defining logarithms as exponents were discoveries of a much later day. These two statements, at first sight, seem inconsistent. A word or two regarding Speidell's system will make the matter clearer, and will also confirm the view I have taken above as to Napier's final conception of the logarithm. Speidell's