Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/31

Rh that this reaoning is not fair or concluive. For when it is aid, let the Increments vanih, i. e. let the Increments be nothing, or let there be no Increments, the former Suppoition that the Increments were omething, or that there were Increments, is detroyed, and yet a Conequence of that Suppoition, i. e. an Expreion got by virtue thereof, is retained. Which, by the foregoing Lemma, is a fale way of reaoning. Certainly when we uppoe the Increments to vanih, we mut uppoe their Proportions, their Expreions, and every thing ele derived from the Suppoition of their Exitence to vanih with them.

XIV. To make this Point plainer, I hall unfold the reaoning, and propoe it in a fuller light to your View. It amounts therefore to this, or may in other Words be thus expreed. I uppoe that the Quantity x flows, and by flowing is increaed, and its Increment I call o, o that by flowing it becomes x + o. And as x increaeth, it follows that every Power of x is likewie increaed in a due  Rh