[ 4i8 ] 



The two nrfl: terms of this feries may be ufed to very confider- 

 able advantage ; with much the fame trouble as the two firft 

 terms of the original ftrics ; and with rather greater accuracy 

 than the three firft terms of tliat feries. 



Ira third divifion be required, this may be fomewhat altered 

 for the convenience of continual divifions. Thus : 



i^ + __J^ . J + -- '°^ B — &c. the 



y 3oj'-i8 ()_yx_r. j^ — i. 175 



letters ^, B, &c. denoting the terms as they arife. 



The three firft terms of this feries are more accurate than three 

 of the preceding ; which likewife are more accurate than the 

 five firft terms of the original feries. 



A FEW examples may ferve to illuftrate what has been faid. 



Note, that Briggs's logarithm of 10 (which is i,) divided by 

 Napeir's logarithm of 10, (or, 2, 30258.50929.94045.68401. 

 79914. 54684. 36420. 7601 1. 01488 &c.) the quote is, 43429. 

 44819. 03251. 82765. 1 1289. '8916. 60508. 22943. 97005 &c. 

 = /. Then, ,86858.89638.06503.65530.22578.37833.21016. 



45887. 



