ABSTRACT

Itljitlficiency of the Definitions if Proportionae lity which are jubflituted in the Room of Euclid's.

I N the laft LeCture we have endeavoured to re-pel the Attempts of fome principal Adverfaries again Euclid's Definition of Proportionals. Borellus remains, who, in my Opinion is by far his moil: confiderable and powerful Opponent; and the more fo, becaufe he has devifed of his own Head a new Method of reiolving Proportionality in vain attempted by others, which we readily own to be a Work very elegant, laudable, and not unufeful ; it being both pleafant and profitable to handle the fame SubjeCts various Ways, and deduce the fame Theorems from different Principles; yet, I think,

he

he was more happy in framing his own, than in oppofing the common Method, as we fball next attempt to fhew.