Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/74

64  to the econd Fluxions, the third nacent Increments to be proportional to the third Fluxions, and o onwards. And, as the firt Fluxions are the Velocities of the firt nacent Increments, o the econd Fluxions may be conceived to be the Velocities of the econd nacent Increments, rather than the Velocities of Velocities. By which means the Analogy of Fluxions may eem better preerved, and the notion rendered more intelligible.

XL. And indeed it hould eem, that in the way of obtaining the econd or third Fluxion of an Equation, the given Fluxions were conidered rather as Increments than Velocities. But the conidering them ometimes in one Sene, ometimes in another, one while in themelves, another in their Exponents, eems to have occaioned no mall hare of that Confuion and Obcurity, which is found in the Doctrine of Fluxions. It may eem therefore, that the Notion might be till mended, and that intead of Fluxions of Fluxions, or Fluxions of Fluxions of Fluxions, and intead of econd, third, or fourth, &c. Fluxions