1 76 Mr. Ivory on a new Method of deducing 
Here the error being very small, it will be proper to take in 
all the terms of the final equation : then, 
l + — ) X ^ = 1-020382 . 
If — ^ X 1*020382 = — 0*002903. 
It now appears that p is between 0*6 and 0-5, but much nearer 
to 0*5 : therefore put p = 0*51 ; then 
r " = 0*599714 
r'~ 0*292413 
V = 0*380190 
6" = 0*131747 
o' == 1*784254 . . . log. 0*2514566 
log. a = 0*1257283 
1 f • (^) + = 1-020984 
b '' — ~ X 1*20984 = -j- 0.000685. 
By comparing this error with the last we get p = 0*5081 , which 
must be substituted ; then 
r"" = 0*600197 
r'"= 0*293163 
V = 0*381205 
6’-= 0*130950 
a* = 1*786720 . . . log. 0*2520565 
log. a = 0*1260283 
6* = ^ X 1*02086 = — 0*000005. 
The approximation has already been pushed farther than 
was requisite : for, in this instance, the terms of the fourth 
order affect the errors in the third place of decimal figures ; 
