This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1861 Excerpt: ...density which we have taken, viz. l-100th, might have been chosen larger, and the deflections proportionally increased. For there are many kinds of rock, ag granite, which differ so in density in the different specimens that the difference between the extremes is greater even than 1-10 th of the mean. And if this ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1861 Excerpt: ...density which we have taken, viz. l-100th, might have been chosen larger, and the deflections proportionally increased. For there are many kinds of rock, ag granite, which differ so in density in the different specimens that the difference between the extremes is greater even than 1-10 th of the mean. And if this difference exists at the surface, it does not seem to be improper to suppose that great variations may exist also below, from the effect of the cooling down and solidifying of the crust, even much greater than 1-100 th. FIGURE OF THE EARTH. CHAPTER I. THE FIGURE OF THE EARTH CONSIDERED AS A FLUID MASS, AND THEREFORE CONSISTING OF STRATA NEARLY SPHERICAL. 67. After it was known that the earth is of a globular form, Newton was the first who demonstrated that it is not a perfect sphere. From theoretical considerations and also from the discovery that a pendulum moves slower at the equator than in higher latitudes, he arrived at the conclusion that its form is that of an oblate spheroid. This subject we propose to consider fully in the present Chapter, on the hypothesis that the Earth was a fluid mass when it assumed its present general form. The calculation is one of great difficulty, and would indeed be impracticable did we not know that the figure differs but little from a sphere. As a first approximation we shall inquire whether a homogeneous fluid mass revolving about a fixed axis can be made to maintain a spheroidal form according to the laws of fluid pressure. Prop. A homogeneous mass of fluid in the form of a spheroid revolves with a uniform velocity about an axis: required to determine whether ike equilibrium of the surface left free is possible. 68. Let a and c be the semi-axes of the spheroid referred to three axes of rectangular co-ordinate...
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