528 MR SANG'S NEW TABLE OF LOGARITHMS TO 200 000. 



were themselves much lessened, while those of distribution, twenty or thirty 

 times as numerous, were entirely removed. 



The other change was in taking two electrotypes of each page, one set to be 

 used for printing, the other set to be reserved for the sole purpose of repro- 

 ducing working plates. In this way, as any errors which may be detected are 

 to be corrected in the reserved as well as in the working plates, the table will 

 eventually come to be entirely freed from faults. 



It is now two centuries and a half since the logarithmic table was completed 

 to 100 000. The want of a greater extension has been felt by the few com- 

 puters engaged in researches requiring great precision; and in 1819 a proposal 

 was made in the House of Commons, that our Government should join with 

 that of France in the publication of new Logarithmic and Trigonometric tables. 

 No actual progress, however, was made. 



It is then worth while to record the extension of the seven-place tables to 

 twice the usual length; particularly when that is accompanied by the finished 

 calculations for one-ninth part of the million table. Which ninth part really 

 implies more than one half of the calculations needed to reach the next step in 

 the denary scale. 





