...lefs according to the greater or lefs Velocity with which they increafe and are generated ; I fought a Method of determining Quantities from the Velocities...Increments, with which they are generated ; and calling thefc Velocities of the Motions or Increments F/uxiotis, and the generated Quantities Fluents, I fell...

...Quantities which increafe in equal Times, and by increafing are generated ; I fought a Method of defining Quantities from the Velocities of the Motions or Increments with which they are generated, and'* calling thefe Velocities of the Motions or In.crements Fluxions, and the generated Quantities ' Fluents, &c....

...the genesis of rectangles." f This is agreeable to Sir I. NEWTON'S ideas on the sub>ect. He says, " I sought a method of determining quantities from the...velocities of the motions or increments with which they arc generated ; and calling these velocities of the motions or increments, Jluxiont, and the generated...

...less according to the greater or less velocity with which the increase and decrease are generated, and of determining quantities from the velocities of the...increments with which they are generated, — and when I call these velocities of the motions or increments Fluxions, — I avail myself of Napier's...

...less according to the greater or less velocity with which the increase and decrease are generated, and of determining quantities from the velocities of the...increments with which they are generated, — and when I call these velocities of the motions or increments Fluxions, — I avail myself of Napier's...

...ancients, by drawing moveable right lines along immoveable right Unes, taught the genesis of rectangles. Therefore considering that quantities, which increase...from the velocities of the motions or increments with 12 which, they are generated ; and calling these velocities of the motions or increments fluxions,...