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Page 473 - 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 472 - Complete sets (in Numbers) may be obtained at the following prices :— The First Series, in 20 volumes, from 1838 to 1847. Price £10. The Second Series, in 20 volumes, from 18-18 to 1857.
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 527 - ... 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 thorough maximum or a thorough minimum ; because when the...
Page 255 - 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 air, to • Communicated bv the Author, having been read at the Meeting of the Royal Society, 3rd February, 1887.
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 255 - TAKE the simplest case: let the moving solid be a globe, and let the fluid be of infinite extent in all directions. Let its pressure be of any given value, P, at infinite distances from the globe, and let the globe be kept moving with a given constant velocity, V. If the fluid keeps everywhere in contact with the globe, its velocity relatively to the globe at the equator (which is the place of greatest relative velocity) is %V.
Page 289 - The known relations between temperature, pressure, and density for the ideal " perfect gas," when condensed or allowed to expand in a cylinder and piston of material impermeable to heat, aref (8), (9); where k denotes the ratio of the thermal capacity of the gas, pressure constant, to its thermal capacity, volume constant, which is approximately equal to 1*41 or 1'40 (we shall take it 1'4) for all gases, and all temperatures, densities, and pressures ; and T denotes the temperature corresponding...
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 sub-aerial. He further pointed out that, so far as...