( 6 j 6 ) 
rithtn on purpofej true to as many places as are necef- 
fary. 
Ex. II. For another Example, let it be required to find 
the Number whofe Logarithm is o, z9> Tuppofing we had 
no other Table of Logarithms but Mr. of 200 Lo- 
garithms to a great many places. This amounts to the 
refolving this Equation / 3/ =: o, 29, or ly — o, 29 = o. 
Hence therefoifc we have x —lx — o, 29, » = — ( a. 
T. 
being the Modulus belonging to the Table we ufe, vrz, 
^ „ — a .. 2 .. — 6 a 
0.4342-944819) X = x=— , •; = — 
&c. In this Cafe becaufe x has a negative Sign, changing 
the Signs of all the Coefficients, the Canon for v will 
be found in the fourt h Cafe, which in the irrational Form 
. ^ Z X ZX 
gives — ^ . 
X X Z . 3 * 2 . 3 ■ 4 >r 
zlz — 0,58 zv^ zv"^ 
'^C. z=z‘Z. -f- ————— — ' 
^ 3 ^ ' 4 ^. 
2 
+ — : &c. In this Cafe to avoid often dividing by z,. ic 
5 -2^ . 
will be mofl convenient to compute ~ , which is got 
from this Equation = i — -v/ J + 
zl z — o, 58 
2D- 
3 2^ 
2 D'l 
4 z ^ 
2 D 
+ , &c. The neareft Logarithm, in 
5 
the Tables propofed, to the propofed Logarithm o, 29 
is o, 2900346114, its Number being i, 95. Therefore 
for the firfl fuppofition taking = r, 95, we have x 
{=: I Z — O, 29 = O, 2900346114 — O, 29 ) = 
O , 0000 
