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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                                on which the correction may be supposed to depend, and the
logarithmic correction as taken from the last table.

[Table of Range of Arc through half hour not transcribed.]

Suppose now that we wished to find the logarithmic correction for a <s>series of</s> Swing whose
first arc was 1.97 and whose last arc was 0.98. This Swing extends over four equal
intervals of time, for which the log corrections are respectively 579, 402, 287, 205. The
log correction therefore applicable to the whole time will be the mean of these four
corrections or 368. In a similar manner, we may obtain the correction with any other
beginning and concluding arcs among those in the table above, and thus the next table if formed.

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