PREFAi ix 



of most of the four-place tallies so that tin- second page begins with 



5.0 instead of the OUStomaiy 4.5. Tin- frequent occurrence of cor 



Diction ; iiging from i.o to i.i, renders tlii> 



: the most frequently used part of tin- table : while at the same 



Hi account of the large tabular differences, interpolation i> 



here the mo>t laborious The insertion of logs, cologs. and recipro- 



:om i.o to i.i with increments of o.ooi and o.oooi, respec- 



and tive-pla- this interpolation. 



les of ai ;are roots the addition would he of little 



In the tables of logarithms and of square roots, h- 

 ias been used at apparently scattered points throughout the 

 'dies. These points, in the live-place logarithm tables, 

 for instance, are where the lirst two li^ures in the mantissa change 

 ly one unit in the second place, i-.tj. oo, 01. The obvious 



service of this is to aid the eye in Hnding any desired manti 

 working the table backward to obtain the antilo;^or number corre- 

 ;nr, r . 'I'iie oiij.-ct is. of course, the same in the other tables 



to the wisdom of departing from the usual custom of omitting 

 il points entirely from logarithm tables, the author believes. 

 lie retention of the point promotes clearness of compreh. 

 tables by beginners, and lessens mental effort in more e 

 . computers, especially when associated with ti :on by 



kfl in the explanations here given. It seems imfortu- 



Mmple n< o useful in computation and so 



i in the explanation of numerical relation.^, is not univ 



into arithmetical instruction. 



rules for the employment of logarithms and of the tables 



prepared especial ; the nerd of tho>e entirely 



unfamiliar with the j.rinciples of logarithms, although they would 



;inner. It is thought, how- 

 .nid instructions given may pro\e an aid 

 '> those who are a with the subject. 



I,\lin|>. \TOKY ) 

 MA8SACHU8KTI ><;Y. 



. IK*. 



