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amplitude angle angular attracted particle attracted point attracting mass axes axis calculation Cape Comorin centre centrifugal force Clairaut's Theorem co-ordinates coefficient compartments cos2 crust Damargida deflection depth difference distance dr d0 earth earth's surface effect element ellipsoid ellipticity equal equilibrium expanded find the attraction formula frustum geodetic arc gravity height Hence Himalayas homogeneous horizontal attraction hypothesis Indian Arc infinite integration Kaliana Laplace's Equation Laplace's Functions last Article latitude law of attraction length longitude lune mean density mean ellipse mean radius measured Mechanical Philosophy meniscus miles mountains nearly spherical neglected observed obtained ocean Ordnance Survey parallel pendulum plane plumb-line pole precession prism Prop Proposition quantities ratio result sea-level semi-axes series of Laplace's sin2 sphere spherical cap spheroid square station station-level strata stratum substituted suppose term thickness tion vertical attraction zone
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 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