1907-8.] 
191 
Dr Edward Sang’s Tables. 
Nos. 7, 8, 9, 10, 11. Logarithms 10, 11, 12, 13, 14 
{Nos. 100,000 to 150,000). 
The logarithms given in these five volumes are restricted to 15 places. 
Those of the majority of the composite numbers were got by addition 
from vols. 0 and 1 ; the intermediates having been filled in by inter- 
polation of second differences. This work had been done on scroll paper, 
and thence copied on the actual pages. 
Nos. 12, 13, 14, 15, 16. Logarithms 10, 11, 12, 13, 14 
(Nos. 100,000 to 150,000). 
In order to remove the risk of detached errors in copying, the last two 
figures of the second differences were alone copied into their places from the 
previous volumes, and from these the complete second differences, the first 
differences, and the logarithms were re-computed by integration. (Also in 
transfer duplicate.)* 
Nos. 17, 18, 19, 20, 21. Logarithms 15, 16, 17, 18, 19 
(Nos. 150,000 to 200,000). 
The logarithms in these five volumes were got by interpolating two 
terms between the even numbers of the preceding volumes, adding the 
logarithm of 1*5. The interpolation was done on paper-aside, using only 
the last two figures of the second differences. These last two figures were 
then copied into their places on the actual pages, and the work finished by 
integration. (Also in transfer duplicate.) 
Nos. 22-38. Logarithms 20-36 (Nos. 200,000 to 370,000). 
In these seventeen volumes, the logarithms have been found by inter- 
polating one term between the terms of the preceding volumes from 10, 
adding the logarithm of 2 ; the work having been done by integration as 
before, and the results tested by addition at least twice in each decade. 
(Also in transfer duplicate.) 
No. 39. Logarithms. Auxiliary Table. 
This volume shows the last 10 figures of the logarithms of numbers 
from 1 00000 0000 to 1 00000 9999, and from 1 00000 0000 to 99999 0000, 
which are used for computing the logarithms of numbers consisting of 
more than six effective places. (Also in transfer duplicate.) 
No. 40. Sines. 
This is the record of all the articulate steps in the calculation, to 33 
places, of the sines of arcs differing by the 2000th part of the quadrant. 
* The volumes in transfer duplicate have been placed in the library of the University of 
Edinburgh. 
