Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/38

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The Analyst.

plying his Method, than accurate in examining his Principles.


XVIII. It is curious to obſerve, what ſubtilty and skill this great Genius employs to ſtruggle with an inſuperable Difficulty; and through what Labyrinths he endeavours to eſcape the Doctrine of Infiniteſimals; which as it intrudes upon him whether he will or no, ſo it is admitted and embraced by others without the leaſt repugnance. Leibnitz and his Followers in their calculus differentialis making no manner of ſcruple, firſt to ſuppoſe, and ſecondly to reject Quantities infinitely ſmall: with what clearneſs in the Apprehenſion and juſtneſs in the reaſoning, any thinking Man, who is not prejudiced in favour of thoſe things, may eaſily diſcern. The Notion or Idea of an infiniteſimal Quantity, as it is an Object ſimply apprehended by the Mind, hath been already conſidered[1]. I ſhall now only obſerve as to the method of getting rid of ſuch Quantities, that it is done without the leaſt Ceremony. As in

Fluxions
  1. Sect. 5 and 6.