Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/62

52 Part, tands clear of all uch Difficulties. I anwer, that if in the ue or application of this Method, thoe difficult and obcure Points are not attended to, they are nevertheles uppoed. They are the Foundations on which the Moderns build, the Principles on which they proceed, in olving Problems and dicovering Theorems. It is with the Method of Fluxions as with all other Methods, which preuppoe their repective Principles and are grounded thereon. Although the Rules may be practied by Men who neither attend to, nor perhaps know the Principles. In like manner, therefore, as a Sailor may practically apply certain Rules derived from Atronomy and Geometry, the Principles whereof he doth not undertand: And as any ordinary Man may olve divers numerical Quetions, by the vulgar Rules and Operations of Arithmetic, which he performs and applies without knowing the Reaons of them: Even o it cannot be denied that you may apply the Rules of the fluxionary Method: You may compare and reduce particular Caes to general Forms: You may operate