2^0- LOGARITHMS. 



sily find as many logarithms as we please, or may speedily- 

 examine any logarithm in the table.* 



Deschiption and Use of the TABLE of 

 LOGARITHMS. 



Integral numbers are supposed to form a geometrical se- 

 ries, increasing from unity toward the left •, but decimals 

 are supposed to form a like series, decreasing from unity 

 toward the" right, and the indices of their logarithms are 

 negative. Thus, -f-i is the logarithm of lo, but — i is 

 the logarithm of -p^-, or 'i ; and -{-2 is the logarithm of 

 loo, but — 2 is the logarithm of ~-^, or 'oi 5 and so on. 



Hence it appears in general, that all numbers, which 

 consist of the same figures^ whether they be integral, or 

 fractional, or m.ixed, will have the decimal parts of their 

 logarithms the same^ 'difFerihg only in the index, which 

 will be more or less, and positive or negative, according to 

 tlie place of the 'first figure of the- liiimber. Thus, the 

 logarithm ot 26^1 being 3*4234097, the logarithm of —-y 



* Many other ingenious methods of finding the logarithms of 

 numbers, and peculiar artifices for constructing an endre table of 

 them, may be seen in Dr. Hutton*s Introducikn to his Tables^ 

 and Baron M4SEres* Scrlptons Logarithmicu 



