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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                                were formed, and the mean of the differences was
taken. In this manner there were formed, for every
group, <s>a</s> mean corresponding times of Shelton (the
upper clock) and Earnshaw (the lower clock); the
differences of these, from group to group, gave the
corresponding changes of clock-indications by the two
<s>d</s> clocks during the same period of absolute time:
and the quotient 
Earnshaw's change of indication/
Shelton's change of indication   gave
the apparent ratio of rates. The logarithm of this
ratio was formed, by means of Callet's Logarithms,
to eight decimals.
27<s>29</s>. A very cursory examination of these ratios
showed that there was a considerable personal equation
in the observation of the galvanometer-signals. Though
(from the nature of the combination to be hereafter described)
this scarcely produces an appreciable effect on the
ultimate result. I thought it desirable to ascertain
approximately its magnitude and to apply the corresponding
correction. I proceeded as follows. In every instance in
which the signal-observations at the beginning and at the
                            
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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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