252 LOGARITHMS. 



are In the first column of the page, and the fifth figure in 

 the uppermost line of it ; then in the angle of meeting 

 are the last four figures of the logarithm, and the first 

 three figures of the same at the beginning of the same 

 line ; to which is to be prefixed the proper index. 



So the logarithm of 34*092 is 1*5326525, that is, the 

 decimal 5326525, found in the table, with the index i pre- 

 fixed, because the given number contain? two integers. 



1. But if the given nwnocr contain more than Jive figures^ 

 take out the logarithm of the first five figures by inspec- 

 tion in the table as before, as also the next greater log- 

 arithm, subtracting one logarithm from the other, and al- 

 so one of their corresponding numbers from the other. 

 Then say, , 



As the diiterence between the two numbers *^ 



Is to tlie difference of their logarithms, 



80 is the remaining part of the given number 



To the proportional part of the logarithm. 



"Which part being added to the less logarithm, before 



tiken cut, the whole logarithm sought is obtained very 



nearly. 



EXAMPLE. 



To find the logarithm of the number 34*09264. 

 - The log. of 3409200, as before, is 5326525, 

 and log. of '3409300 is 5326652, 



the diff. 100 and 127 



Theuj as too : 127 :: 64 : 81, the proportional part. 

 This added to 5326525, the first logarithm, 



elves, with the index, i •532660.6 for the logarithm of 

 34-09264. 



Or, in the best tables, tlie proportional part may often 

 be taken out by inspection, by means of the small tables 

 pf proportional parts, placed in the margin. 



