A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth

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Macmillan, 1871 - Earth (Planet) - 245 pages
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Page 1 - teaches us, that every particle of matter in the universe attracts every other particle of matter, with a force varying directly as the mass
Page 235 - There is no doubt that the solid parts of the earth's crust beneath the Pacific Ocean must be denser than in the corresponding parts on the opposite side, otherwise the ocean would flow away to the other parts of the earth.
Page 235 - There must, therefore, be some excess of matter in the solid parts of the earth between the Pacific Ocean and the earth's centre which retains the water in its place. This effect may be produced in an infinite variety of ways ; and therefore, without data, it is useless to speculate regarding the arrangement of matter which actually exists in the solid parts below.
Page 201 - fluid state commenced at the surface, the amount of contraction in the solid parts beneath the surface of the mountain-region has been less than in the parts beneath the sea-bed. In fact, it is this unequal contraction which appears to have caused the hollows in the external surface which have become the basins into which the waters have flowed to form the ocean.
Page 1 - with a force varying directly as the mass of the attracting particle and inversely as the square of the distance between the
Page 3 - C in the same manner as if the whole mass were collected at its centre. PROP. To find the attraction of a homogeneous spherical shell of small thickness on
Page 142 - that the increase of gravity in passing from the equator to the poles varies as the square of the sine of the latitude, and that a certain relation must necessarily
Page 241 - The phenomena of precession and nutation introduce a new element to our consideration, namely, the moment of inertia of the earth about an equatorial axis. The observation of these phenomena enables us to determine the numerical value of the
Page 202 - less than before. It is not likely that expansion and contraction in the solid crust would affect the arrangement of matter in any other way. That changes of level do take place, by the
Page 4 - The calculation is the same as in the last Article, except that the limits of y are r — c and r + c : ,'. attraction

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