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Page 433 - That gravity should be innate, inherent and essential to matter, so that one body may act upon another at a distance through a vacuum, without the mediation of any thing else, by and through which their action and force may be conveyed from one to another, is to me so great an absurdity, that I believe no man who has in philosophical matters a competent faculty of thinking, can ever fall into it.
Page 433 - ... a vacuum, without the mediation of anything else, by and through which, their action and force may be conveyed from one to another, is to me so great an absurdity, that I believe no man who has in philosophical matters a competent faculty of thinking, can ever fall into it. Gravity must be caused by an agent acting constantly according to certain laws ; but whether this agent be material or immaterial, I have left to the consideration of my readers...
Page 337 - ... an end; for a process of degradation cannot be eternal. If we could view the universe as a candle not lit, then it is perhaps conceivable to regard it as having been always in existence ; but if we regard it rather as a candle that has been lit, we become absolutely certain that it cannot have been burning from eternity, and that a time will come when it will cease to burn.
Page 162 - It must be admitted that such a diagram is not quite so simple to draw as one might wish it to be; but then consider what the alternative is if one undertakes to deal with five terms and all their combinations — nothing short of the disagreeable task of writing out, or in some way putting before us, all the 32 combinations involved.
Page 65 - On the Occurrence of Marine Shells of Existing Species at Different Heights above the Present Level of the Sea.
Page 113 - ... the canal. The more approximately nodal character of the tides on the north coast of the English Channel than on the south or French coast, and of the tides on the west or Irish side of the Irish Channel than on the east or English side, is probably to be accounted for on the principle represented by this factor, taken into account along with frictional resistance, in virtue of which the tides of the English Channel may be roughly represented by more powerful waves travelling from west to east,...
Page 159 - ... from 0 to oo , we see that while X is increased from - 1 to 0 the first member of (50) passes an infinite number of times continuously through all real values from - oo to + oo : and that it does the same when X is diminished from + 1 to 0. Hence (50), regarded as a transcendental equation in X, has an infinite number of roots between — 1 and 0 and an infinite number between 0 and + 1. And it has no roots except between — 1 and + 1, because its second member is clearly positive, whatever...
Page 103 - N=3 is illustrated by the annexed diagram (fig. 6), which is repeated from the diagram of VM § 58. If N be not divisible by 3, the three threads run together into one, as illustrated for the case of N= 14 in the annexed diagram (fig. 7). Fig. 6. Fig. 7. Fig. 8.
Page 115 - Fourier-Sturm-Liouville-theory, are the speeds * of the successive fundamental modes, corresponding to the different circular nodal subdivisions of the i diametral divisions implied by the assumed value of i. Thus, by giving to i the successive values 0, 1, 2, 3, &c., and solving the transcendental equation so found for each, we find all the fundamental modes of vibration of the mass of matter in the supposed circumstances. If there is no central island, the solution of (19) which must be taken,...
Page 112 - Finding the corresponding values of u and v, we see what the boundary-conditions must be to allow these tesseral oscillations to exist in a sea of any shape. No bounding-line can be drawn at every part of which the horizontal component velocity perpendicular to it is zero. Therefore to produce or permit oscillations of the simple harmonic type in respect to form, water must be forced in and drawn out alternately all round the boundary, or those parts of it (if not all) for which the horizontal component...