Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/39

Rh Fluxions the Point of firt importance, and which paves the way to the ret, is to find the Fluxion of a Product of two indeterminate Quantities, o in the calculus differentialis (which Method is uppoed to have been borrowed from the former with ome mall Alterations) the main Point is to obtain the difference of uch Product. Now the Rule for this is got by rejecting the Product or Rectangle of the Differences. And in general it is uppoed, that no Quantity is bigger or leer for the Addition or Subduction of its Infiniteimal: and that conequently no error can arie from uch rejection of Infiniteimals.

XIX. And yet it hould eem that, whatever errors are admitted in the Premies, proportional errors ought to be apprehended in the Concluion, be they finite or infiniteimal: and that therefore the of Geometry requires nothing hould be neglected or rejected. In anwer to this you will perhaps ay, that the Concluions are accurately true, and that therefore the Principles and Methods from whence they are derived mut be o too. But