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

10  to be infinitely mall. The Difference of a Line is an infinitely little Line; of a Plain an infinitely little Plain. They uppoe finite Quantities to conit 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 mall, that is, infinitely les than any enible or imaginable Quantity, or than any the leat finite Magnitude, is, I confes, above my Capacity. But to conceive a Part of uch infinitely mall Quantity, that hall be till infinitely les than it, and conequently though multiply'd infinitely hall never equal the minutet finite Quantity, is, I upect, an infinite Difficulty to any Man whatoever; and will be allowed uch by thoe who candidly ay what they think; provided they really think and reflect, and do not take things upon trut.

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