THE COMMON LOGARITHM, Sec. 



Calculation Cont'iimed. 



7» 



1-379348 



413804 



96554 

 12414 



415 



55 



1.902600 

 1. 712340 



3805 

 1141 



Xbya" 



= 3.619886 



3-257897 

 7240 

 2172 



Xby<j' 



a'S" =6.887195 



2.066158 



482104 



61985 



2066 



275 



5S 



Xbya* 



• = 9-499838 



379993 



9500 



190 



«"' =9.889521 



* = 1.0010597 J , „„„^„, 

 _...,, , -"^j- =d= 1.000007 

 Divided by r' = 1.001 0523 



7 



The quotient d, is now fo fmall that it is not 

 necelTary to proceed further in this way, for the 

 decimals of c, divided by the decimals oi.d will 

 give the power required, viz. 75. 



Mailing a compound fraftion, as before direft- 

 ed, with the feveral powers of the divjfors ia the 

 order they Hand we have, i 



228 



9J- 



Which reduced 

 Gives the 



Simple fraflion 



75 



75 



151 =75X2 + 1 



1434= 151X9 + 75 

 327103 = 1434X228 + 151 



log. of 99. true to 

 the 9th place, and 

 3 too much In the 

 loth. 



328537=327103X1+1434 

 Denominator NNumerator/ 



328537 ) 327103.0 f -995635 194-8- The 

 / 2956833 \ decimal part of the 



3H1970 

 2956833 , 

 1851370 

 1642685 

 2086850 

 1971222 

 11562B0 

 98561 1 

 170669 

 16426S 

 ,6400 

 J£85 



3"5 

 2957 



158 



i3» 



Ka 



27 



Experiments 



