Mifcellanea Curiofa. 129 



creafe by a continual Flux; Efpecially, that 



n 



the Momentane of any Power, as j4 m is 



n — 1 



% a jffi . Farther : the fluxion 

 ft— -1 



being given, the flowing Quantity 



n 



^/l m may be found j Firft, By ftriking a 



put of the Fluxion ; Secondly, By encreafing 

 the Index of the Fluxion by TJnity ; Third- 

 ly, By dividing the Fluxion by the Index 

 thus increafed by Unity. In the following 

 Difcourfe, we lhall exprefs Abfcijfe of any 



Curve by its Fluxion by the ordinate 



by y, and its Fluxion by y* Thefe things 

 fuppos'd - 7 that we may come to the Quadra- 

 ture of Curves^ Firft, Take the value of the 

 ordinate applicate, by the help of the Equa- 

 tion exprefling the Nature of the Curve. 

 Secondly, Let this Value be multiplied by 

 the Fluxion of the Abfciffe ; for the Pro- 

 duct arifing is the Fluxion of the Area. 

 Thirdly, Having the Fluxion of the Area, 

 let the flowing Quantity be found, and fo 

 we lhall have the Area fought. Ex. gr. Let 

 m n 



the Equation x —y be proposed, which ex- 

 prefles the Nature of all forts of Paraboloids. 



m 



The Value of y is * w » which multiplied by 



