Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/20

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The Analyst.

posed to be infinitely ſmall. The Difference of a Line is an infinitely little Line; of a Plain an infinitely little Plain. They ſuppoſe finite Quantities to conſiſt of Parts infinitely little, and Curves to be Polygones, whereof the Sides are infinitely little, which by the Angles they make one with another determine the Curvity of the Line. Now to conceive a Quantity infinitely ſmall, that is, infinitely leſs than any ſenſible or imaginable Quantity, or than any the leaſt finite Magnitude, is, I confeſs, above my Capacity. But to conceive a Part of ſuch infinitely ſmall Quantity, that ſhall be ſtill infinitely leſs than it, and conſequently though multiply'd infinitely ſhall never equal the minuteſt finite Quantity, is, I ſuſpect, an infinite Difficulty to any Man whatſoever; and will be allowed ſuch by thoſe who candidly ſay what they think; provided they really think and reflect, and do not take things upon truſt.


VI. And yet in the calculus differentialis, which Method ſerves to all the ſame Intents and Ends with that of Fluxions,

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