Philosophical Magazine (Google eBook)

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Taylor & Francis., 1887 - Science
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Page 475 - But we may distinguish rest and motion, absolute and relative, one from the other by their properties, causes, and effects. It is a property of rest that bodies really at rest do rest in respect to one another.
Page 487 - Newton's law is in contradiction to the only system of consistent doctrine about space and time which the mind has been able to form
Page 30 - F. ; consequently, the low strata of air are much the less dense, and an almost horizontal ray of light passing over the summit must be refracted upwards and suffer total internal reflection, as in an ordinary mirage.
Page 487 - Why, then, should we have any change of method when we pass on from kinematics to abstract dynamics ? Why should we find it more difficult to endow moving figures with mass than to endow stationary figures with motion ? The bodies we deal with in abstract dynamics are just as completely known to us as the figures in Euclid. They have no properties whatever except those which we explicitly assign to them.
Page 30 - ... in the form of a gigantic pyramid of shadow. Distant objects, a hill or a river (or even Colombo itself, at a distance of 45 miles), may be distinctly seen through it, lighted up by the sunlight, diffused most probably by the surrounding illuminated atmosphere ; so that the shadow is not really a shadow on the land, but a veil of darkness suspended between the observer and the low country. All this time it is rapidly rising and approaching, and each instant becoming more distinct, until suddenly...
Page 255 - It might be thought that the result of this collision is a " vortex-sheet," which, in virtue of its instability, gets drawn out and mixed up indefinitely, and is carried away by the fluid further and further from the globe. A definite amnout of kinetic energy would thus be practically annulled in a manner which I hope to explain in an early communication to the Royal Society of Edinburgh. But it is impossible, either in our ideal inviscid incompressible fluid, or in a real fluid such as water or...
Page 529 - The condition for steady motion of an incompressible inviscid fluid filling a finite fixed portion of space (that is to say, motion in which the velocity and direction of motion continue unchanged at every point of the space within which the fluid is placed) is that, with given vorticity, the energy is a thorough maximum, or a thorough minimum, or a minimax. The further condition of stability is secured, by the consideration of energy alone, for any case of steady motion for which the energy is a...
Page 304 - ... wood is made around the back of the plate with a ring screwed to the centre, so that the whole can be hung up with the zinc and copper elements below. When required for use, lower so as to dip the tips of the elements into a pan of water and hang up again. The space between the elements being -j^ inch, will hold a drop of water which will not evaporate for possibly an hour.
Page 120 - The rear of a wholly free procession of waves may be quite readily studied after the constitution of the front has been fully investigated, by superimposing an annulling surfacepressure upon the originating pressure represented by (12) above [this is a case of (173) of our present paper], after the originating pressure has been continued so long as to produce a procession of any desired number of waves.
Page 70 - ... from the mouth of the cave, and its contents must have shown some evidence of having been sorted by the sea. He considered that the greater part of the material that blocked the upper entrance of the upper cave belonged to the surface-drifts described under II. (iii.), and were, as they stood, almost all subaerial. He further pointed out that, so far as...

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