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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                                and in distant regions.

51. Now if there are sensible irregularities near the
upper station, it will be impossible to satisfy the first
and second conditions at the same time. For, the
demonstration of the evanescence of shell-attraction at
the lower station rests upon this: that if chords be
drawn through the point I, <s>(</s>Plate [ ] figure 1<s>)</s>, included within
the solid angle aIb, as cIFC, the portion FC
must be equal to Ic: and therefore if in the surface
ab (which may be a very minute field) there be an
elevation of depression, there must be a corresponding
elevation of depression over the <s>whole</s>whole AB (which will
be, in extent, a large continent): and this will
disturb the second condition. It will be better
therefore in the first instance to give no attention to the
local irregularities near the upper station: to assume
that the surface there is spherical: to find with this
assumption how we can satisfy the three conditions: and
afterwards to make allowance for the effect of the irregularities
near the upper station.
                            
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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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