Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/81

From Wikisource
Jump to navigation Jump to search
This page has been validated.
The Analyst.
71

XLVII. Upon the whole it appears that the Celerities are diſmiſſed, and inſtead thereof Areas and Ordinates are introduced. But however expedient ſuch Analogies or ſuch Expreſſions may be found for facilitating the modern Quadratures, yet we ſhall not find any light given us thereby into the original real nature of Fluxions; or that we are enabled to frame from thence juſt Ideas of Fluxions conſidered in themſelves. In all this the general ultimate drift of the Author is very clear, but his Principles are obſcure. But perhaps thoſe Theories of the great Author are not minutely conſidered or canvaſſed by his Diſciples; who ſeem eager, as was before hinted, rather to operate than to know, rather to apply his Rules and his Forms, than to underſtand his Principles and enter into his Notions. It is nevertheleſs certain, that in order to follow him in his Quadratures, they muſt find Fluents from Fluxions; and in order to this, they muſt know to find Fluxions from Fluents; and in order to find Fluxions, they muſt firſt know what Fluxions are. Otherwiſe they proceed without Clearneſs and without

F 4
Science.