Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/16

6 III. The Method of Fluxions is the general Key, by help whereof the modern Mathematicians unlock the ecrets of Geometry, and conequently of Nature. And as it is that which hath enabled them o remarkably to outgo the Ancients in dicovering Theorems and olving Problems, the exercie and application thereof is become the main, if not ole, employment of all thoe who in this Age pas for profound Geometers. But whether this Method be clear or obcure, conitent or repugnant, demontrative or precarious, as I hall inquire with the utmot impartiality, o I ubmit my inquiry to your own Judgment, and that of every candid Reader. Lines are uppoed to be generated by the motion of Points, Plains by the motion of Lines, and Solids by the motion of Plains. And whereas Quantities generated in equal times are greater or leer, according to the greater or leer Velocity, wherewith they increae and are generated, a Method hath been found to determine Quantities from the Velocities of their generating Motions. And