cardan’s Rule to the fecond Cafe, &>c. 95 
4 n/% x the infinite feries &c . is foms _ 
w hat pieferable, with refpedt to the pradtical relblution 
of thefe equations, to the other expreflion of its value 
given in the former paper in the Philofophical Tranf- 
adtions, to wit, V l e x the infinite feries 2 + 2 °~ 4 + 
3 o8*» , . ^ 
6j6l? ~ &c * For lt appeared in Art. 42 of that paper, 
page 941, that the value of the root of this fame equa- 
tion x'-x- j obtained by computing four terms of the 
•ferine o . 223 2 ° z4 , 3°8z 6 0 
gee 2 43<? + 6$6ie 6 &c. was 1.137,33; which is 
true only to four places of figures ; whereas by com- 
puting the fame number of terms of the feries — + 
Gz 6 Lz'° ?z T * o , . n " 
~ + ~7° + ~ + we have juft now obtained a value of 
the fame root, to wit, the number 1.137,157,373 
which is exadt to fix places of figures. This is agree- 
able to what was obferved above in Art. 6.. 
A Summary of the Conclufions obtained in this Paper and 
the former Paper to which it is an Appendix. 
Art. 13. I will now conclude this paper by fetting 
down, in as concife a manner as I can, the feveral con- 
clufions that have been obtained in this and the above- 
mentioned paper in the Philofophical Tranfadtions for 
the 
