Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/24

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The Analyst.

But if we remove the Veil and look underneath, if laying aſide the Expreſſions we ſet our ſelves attentively to conſider the things themſelves, which are ſuppoſed to be expreſſed or marked thereby, we ſhall diſcover much Emptineſs, Darkneſs, and Confuſion; nay, if I miſtake not, direct Impoſſibilities and Contradictions. Whether this be the caſe or no, every thinking Reader is intreated to examine and judge for himſelf.


IX. Having conſidered the Object, I proceed to conſider the Principles of this new Analyſis by Momentums, Fluxions, or Infiniteſimals; wherein if it ſhall appear that your capital Points, upon which the reſt are ſuppoſed to depend, include Error and falſe Reaſoning; it will then follow that you, who are at a loſs to conduct your ſelves, cannot with any decency ſet up for guides to other Men. The main Point in the method of Fluxions is to obtain the Fluxion or Momentum of the Rectangle or Product of two indeterminate Quantities. Inaſmuch as from thence are derived Rules for obtaining the

Fluxions