5^ Mifcellanea Curiofa. 



If more fteps of thisSer*V/be defired, it 

 will be found as follows, a~Y — -r-r -^-7 4, 



~=f/ &c. as may eafily be demonftrated by 



working out the Divilions in each ftep, 

 and colle&ing the Quotes, whofe Sum will be 

 found to agreee with our former Series. 



Thus I hope, I have cleared up the Doc- 

 trine of Logarithms, and fhewn their Con- 

 ftru&ion and Ufe independant from the Hy- 

 ferbola^ whofe Affe&ions have hitherto been 

 made ule of for this purpofe, though this be a 

 matter purely Arithmetical, nor properly 

 demonftrable from the Principles of Geome- 

 try. Nor have I been obliged to have re- 

 courfe to the Method of Indivilibles, or the 

 Arithmetick of Infinites, the whole being no 

 other than an ealie Corollary to Mr. Newton's 

 General Theorem for forming Roots and 

 Powers. 



