Mr. Manning’s new Method 
332 
I. To find the hyperbolic Logarithm of any Number not 
exceeding 2. 
Rule. Set the number under itself, to be subtracted from 
itself, but removed so many places to the right as shall be 
necessary to make the remainder greater than 1 ; subtract. 
Proceed in the same manner with the remainder, and so on 
till the remainder becomes 1 followed by \ as many cyphers 
as the number of decimal places you work to ; suppose at 
the end of the operation you find that you have removed one 
place to the right and subtracted b times ; two places, c times ; 
three places, d times, &c. ; then b x h. 1 . ^ + c x h. 1 . -f- 
d x h. 1. - 4 - &c. 4- decimal part of the last remainder = 
999 1 1 1 
h. 1. sought. 
And these numbers are collected together out of the Table ; 
for b, c, d, See. can none of them ever exceed 9. 
