CHAPTER VII 



TEXT-BOOKS OF THE MIDDLE OF 

 THE CENTURY 



John Stewai't, 1745 



170. John Stewart, professor of mathematics at 

 Marischal College in Aberdeen, is known as the 

 translator into English, with commentaries, of 

 Newton's Quadì-ature of CtU'ves and Analysis by 

 Equations of an Infinite Nuniber of Terms.^ 



The translator spares no pains in the endeavour 

 to remove any obscurities which the ordinary reader 

 might encounter therein. Newton's Quadrature of 

 Curves takes up 33 pages in John Stewart's volume; 

 Stewart's explanations thereof fili 287 pages. Re- 

 ferring to the controversy between Berkeley and 

 Jurin, Stewart says that ''because the Doctrine of 

 prime and ultimate Ratios has been so much con- 

 troverted of late, I shall bere enquire whether 

 we bave any distinct Idea thereof." He quotes 

 Newton's Lemma i in Book I, Section i of the 

 Principia^ also the proof of it, and then argues that 

 the limit is reached, for **a Difference less than 



' Sir Isaac Newton^ s Two Treaiises of the Quadrature of Curves, and 

 Analysis by Equations of an Infinite Nutnber of Terms, explained. 

 By John Stewart, London, 1745. 



190 



