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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                                [Table of logarithmic correction for the whole Swing, continued, is not transcribed]

It was only necessary
in fact to use so much of
this table as is included
between 2.35 and 1.38
for commencing Arc, and
between 0.98 and 0.34
for concluding arc.
Between these limits, a
skeleton table was prepared
for every 0.01 in each
argument, and was
filled up by interpolation
as far as was required
and no further. It is
unnecessary to give it
here, as all the
essentials are contained
in the table which has just been exhibited.
     The application of this number to the logarithm of the
mean Rate of the Detached Pendulum upon the Clock
Pendulum under the actual circumstances gave the
logarithm of mean Rate of the Detached Pendulum
upon the Clock Pendulum, supposing the arc of
vibration of the Detached Pendulum to have been indefinitely
small.
     The Commencing and Concluding Arcs which were used as
Arguments for the table, were those corresponding to the means of
the coincidences retained at the beginning and at the end of the Swing.
                            
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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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