Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy

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                                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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Manuscript details

Author
George Biddell Airy
Reference
PT/54/5
Series
PT
Date
1855
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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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