MifreUcv/jca Ciiriofa. 5 I 



Wes, I was defirous to contracY this Series, 

 wherein all the powers of / are prefent, into 

 one, wherein each alternate Power might be 

 wanting ; but found it neither fo fimple or 

 uniform as the other. Yet the firft ftep there- 

 of is, I conceive, moil commodious for Prac- 

 tice, and withal e*a& enough for, Numbers 

 not exceeding fourteen places, fuch as are 

 Mr. Brigs\ large Table of Logarithms ; and 

 therefore I recommend it to common Ufe. 



It is thus : a-\ — or b— 



will be the Number anfwering to the Loga- 

 rithm given, differing from the Truth by but 

 one half of the third ftep of the former Series. 

 But that which renders it yet more eligible, 

 is, that with equal facility, it ferves for 

 Brlgg\ or any other fort of Logarithm, with 



the only variation of writing — inftead of i. 



m 



that is, a -\- 



— r and h- r or Z*-Y-2 U 



■ •/ -4---/ ~r — ' and 



■m I o /. I I . 



It— V* 



mo 2 



2 l 



I — — — ' which are eafily refolv'd into A 



m '2 



nalogies, viz.. 

 As 43429 &o— U to 43429+4 / : :") to the 

 So is a J Nuni- 



©r As 43429 &c.-K=/ to 43429— I / : : f ber 

 So is b J fought. 



If 



