Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy
These different slices, it may be remarked, correspond to equal <s>slices</s> surfaces on the sphere; and upon these it is not im- probable that the irregularities may mainly depend. 55. In much of the preceding reasoning, it will be remarked, I have tacitly assumed that large continental elevations or large marine depressions, as we findthem on the earth, do not interfere materially with the general law of attraction based on the spherical distribution of matter. For the reasons which seem to sustain this assumption, I would refer<s>s</s> to a paper by me (printed in the Philosophical Transactions 1855)on the Attractions of Mountain Masses. It will also be remarked that I have not introduced the consideration of the earth's rotation. I conceive its effects to be extremely insignificant: but the formulae applying to it are so unmanageable that I have not pursued it to details. Considering now that it is sufficiently shown that, on the supposition that the surface in the neighbourhood of U is truly spherical, we may use the method of article 2, with no other uncertainty than that explained in article 53: I shall proceed with the corrections for the irregularities of the surface near U. 56. <s>[?]</s> First, I shall investigate the attraction of the matter included between two horizontal planes, figure 3, upon points U and I in those planes, whose distance or the separation of the planes is equal to the distance UI in figure 2.
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Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy, 1855. From The Royal Society, PT/54/5
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