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underftood to exceed 3) be denoted by the fador x—i, when 

 the number next lefs is meafured by 3 ; or by the fador x — 2, 

 when the number next greater is meafured by 3. 



Of the four different fadors, two are always even and two 

 odd, the number whofe logarithm is fought being odd, there 

 can be but one odd number greater than the given one, whofe 

 logarithm it is neceffary to be previoufly acquainted with, in 

 order to find the logarithm required. This number exceeds the 

 given one by 2, when the given one is denoted by x— i ; 

 by 4 when it is denoted hy x— 2 ; Co that this odd fador, greater 

 than that which reprefents the number whofe logarithm is fought, 

 will be meafured by 3, if the given number be reprefented by 

 X— ly and at the fame time, the number next lefs be meafured 

 by 3 ; or if the given number be reprefented by x—2, and 

 the number next greater be meafured by 3 ; we then (liall have all 

 the fadors, except the number whofe logarithm is fought, com- 

 pofite. That their component parts will be lefs than that num- 

 ber, is evident from the nature of the fadors. 



If any one wifhes rather conflantly to ufe the fime notation, 

 which may perhaps be defirable, in conitruding a table of 

 logarithms, for the fake of avoiding confufion ; when a prime 

 fador occurs greater than tliat whofe logarithm is fought, fo 

 that the logarithm cannot be found immediately, let the logarithm 



of 



