sion x + o, ſtands for nothing, upon this Suppoſition as there is no Increment of the Root, ſo there will be no Increment of the Power; and conſequently there will be none except the firſt, of all thoſe Members of the Series conſtituting the Power of the Binomial; you will therefore never come at your Expreſſion of a Fluxion legitimately by ſuch Method. Hence you are driven into the fallacious way of proceeding to a certain Point on the Suppoſition of an Increment, and then at once ſhifting your Suppoſition to that of no Increment. There may ſeem great Skill in doing this at a certain Point or Period. Since if this ſecond Suppoſition had been made before the common Diviſion by o, all had vaniſhed at once, and you muſt have got nothing by your Suppoſition. Whereas by this Artifice of firſt dividing, and then changing your Suppoſition, you retain 1 and , notwithſtanding all this addreſs to cover it, the fallacy is ſtill the ſame. For whether it be done ſooner or later, when once the ſecond Suppoſition or Aſſumption is made, in the ſame inſtant the former Assumpti-
