Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/53

Rh Area, i. e. to BCFD + CFH. And if we uppoe the curvilinear Space CFH to be qoo, then 2xo + oo = yo + qoo which divided by o gives 2x + o = y + qo. And, uppoing o to vanih, 2x = y, in which Cae ACH will be a 'traight Line, and the Areas ABC, CFH, Triangles. Now with regard to this Reaoning, it hath been already remarked, that it is not legitimate or logical to uppoe o to vanih, i. e. to be nothing, i. e. that there is no Increment, unles we reject at the ame time with the Increment it elf every Conequence of uch Increment, i. e. whatoever could not be obtained but by uppoing uch Increment. It mut nevertheles be acknowledged, that the Problem is rightly olved, and the Concluion true, to which we are led by this Method. It will therefore be asked, how comes it to pas that the throwing out o is attended with no Error in the Concluion? I anwer, the true reaon hereof is plainly this: Becaue q being Unite, qo is equal to o: And therefore 2x + o - qo = y = 2x, the