Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 8)

96 
REVIEW OF PINETO’S “ TABLES DE LOGARITHMES &C.” 
[501 
5< 
1 
the principal table, and seeking for the corresponding number, this is = number 
having B for its logarithm: that is, the required number is = M times the number 
obtained as above. Of course as regards the principal Table, the proportional parts 
are employed in the usual manner; the tabulation of them to hundredths (instead of 
tenths) facilitates the interpolation; for better securing the accuracy of the last figure, 
directions are given in regard to the 11th and 12th figures. An example of the 
determination of a logarithm is as follows: 
tr= 3*14159 26536 
M =32 
Mtt= 100-53096 49152 
log ~ = 8-49485 00216.80 - 10 
log = 2 00229 95705.75' 
2764.80 
64 
91 
- D = 4320 
52 
log 7T = 0-49714 98726.88 
(correct value of last two figures = 94). 
The labour saved by the small bulk of the Tables goes far to balance that 
occasioned by the additional steps in the calculation. 
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a 
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thj 
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