I 
( 6i8 ) 
-in they are found, as B = A x — , — • 
~~y, “ 
2, The little Letters a, h, c, ^c. in the Divifbrs, are 
equal to the whole Divifors of the Fradion in the Terms 
immediately preceding ; thus b — a^ — 2. 
For an Example of this, let it be required to find 
V2. Putting V 2 = X i, we have 2 x — 1 = 
o, which being compared with the general gives 
— — 2, and m f — — i : therefore for m taking 
-—I, wx have ^=2, and y = i, which Values fubfti- 
tuted in the Series give at ^ y 
^ ^ 2x6 2x6x34 
I I 
2 x6x34Xiij4 xx6x34Xii54Xi?3*7i4* 
^c. The Fradions here wrote down giving the Root 
true to twenty three Places. 
A new Method of confuting Logarithms. 
This Method is founded upon thefe Confiderarions. 
1. That the Sum of the Logarithms of any two Num- 
bers is the Logarithm of the Produd of thofe two Num- 
bers Multiplied together. 
2. That the Logarithm of Unite is nothing, and 
confequently that the nearer any Number is to Unite, 
the nearer will its Logarithm be to o. 3^/y. That the Pro- 
dud by Multiplication of two Numbers, whereof one 
is bigger, and the other lefs than Unite, is nearer to U- 
nite than that of the two Numbers which is on the fame 
fide of Unite with its fdf ; for Example the two Num- 
bers being f and the Produd ^ is left than Unite, 
but nearer to it than which is alfo lefs than Unite. 
Upon thsTe Confiderations, I found the prefent Ap- 
proximation ; 
