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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                                quicker or slower than the clock pendulum: in fact
it always vibrated slower.
31.<s>33.</s> Several coincidences were always observed
<s>[?]</s> at the beginning of a swing, and several at the
end. These gave the Interval of Coincidences nearly enough
to enable me to fix upon the number of intervening
coincidences. In general, some of the observed
coincidences were rejected, so that from two to five
coincidences were retained at the beginning, and a
number at the end so corresponding that the difference of
their means would represent an integral number of
intervals (thus there might be 3 at the beginning and
5 at the end, or 4 at the beginning and 2 at the end).
The mean of the first retained and the last retained being
taken, the differences of means divided by the number of intervals
gave a very exact value of Mean Interval.
    In the interval, the detached pendulum lost
two vibrations on the clock pendulum. If then <s>[?]</s>
the times of the first and last mean <s>w</s> be taken <u>from the clock face</u>,
and if n be the number of seconds, referred to the clock,
in the mean interval, the rate of the detached
pendulum on the clock pendulum will be n-2/n.
The following tables contain all the values of log n-2/n
which are required here. For estimating the effect of any
                            
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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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