Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/36

26  and all that you got by it is detroyed, and goes out together. And this is univerally true, be the Subjectt what it will, throughout all the Branches of humane Knowledge; in any other of which, I believe. Men would hardly admit uch a reaoning as this, which in Mathematics is accepted for Demontration.

XVII. It may not be amis to oberve, that the Method for finding the Fluxion of a Rectangle of two flowing Quantities, as it is et forth in the Treatie of Quadratures, differs from the abovementioned taken from the econd Book of the Principles, and is in effect the ame with that ued in the calculus differentialis. For the uppoing a Quantity infinitely diminihied and therefore rejecting it, is in effect the rejecting an Infiniteimal; and indeed it requires a marvellous harpnes of Dicernment, to be able to ditinguih between evanecent Increments and infiniteimal Differences. It may perhaps be aid that the Quantity being infinitely diminished becomes nothing, and o nothing is rejected. But according to the received