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

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The Analyst.

tical Part, ſtands clear of all ſuch Difficulties. I anſwer, that if in the uſe or application of this Method, thoſe difficult and obſcure Points are not attended to, they are nevertheleſs ſuppoſed. They are the Foundations on which the Moderns build, the Principles on which they proceed, in ſolving Problems and diſcovering Theorems. It is with the Method of Fluxions as with all other Methods, which preſuppoſe their reſpective Principles and are grounded thereon. Although the Rules may be practiſed 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 Aſtronomy and Geometry, the Principles whereof he doth not underſtand: And as any ordinary Man may ſolve divers numerical Queſtions, by the vulgar Rules and Operations of Arithmetic, which he performs and applies without knowing the Reaſons of them: Even ſo it cannot be denied that you may apply the Rules of the fluxionary Method: You may compare and reduce particular Caſes to general Forms: You may

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