( *°5 ) 
any Lines as D £, TG , H /, confidered as their Exponents. 
And this-is evident by his Book of Quadratures, where he 
reprefents Fluxions by prickt Letters in the firft Propofition, 
by Ordinates of Curves in the laft Propofition, and by other 
Symbols.in explaining the Method and illuftrating it with Ex* 
•amples,. in the Inrrodu&ion. Mr. Leibnitz , hath no Symbols 
of Fluxions in his Method, and therefore Mr. Newtjjris Sym- 
bols of Fluxions are the oldeft in the kind. Mr. Leibnitz be- 
gan to ufe the Symbols of Moments or Differences dx, dj , d% 
in the Year 1 677. Mr. Newton reprefented Moments by the 
Re&angles under the Fluxions and the Moment 0, when he 
wrote his Analyfis, which was at leaft Forty Six Years ago. 
Mr. Leibnitz has u fed the Symbols/*, fy, fz for the Sums 
of Ordinates ever fince the Year 168 6 ; Mr. Newton repre- 
sented the fame thing in his Analyfis , by infcribing the Ordi- 
nate in a Square or Redangle. All Mr. Nortons Symbols 
are the oldeft in their feveral Kinds by many Years. 
And whereas it has been reprefented that the ufe of the 
Letter 0 is vulgar, and deftroys the Advantages of the Diffe- 
rential Method.* on the contrary, the Method of Fluxions, 
as ufed by Mr. Newton , has all the Advantages of ths Diffe- 
rential, and fome others. It is more elegant, becaufe in his 
Calculifc there is but ohe infinitely little Quantity reprefented 
by a Symbol, the Symbol 0 . We have no Ideas of infinitely 
little Quantities, and therefore Mr. Newton introduced Flu- 
xions into his Method* that it might proceed by finiteQuan- 
tities as much as poftible. It is more Natural and Geometrical, 
becaufe founded upon the prim* quantitatum nafeentium ratio- 
net, which have a Being m Geometry* whilft Indiruifibles , upon 
which the Differential Method is founded, have no Being ei- 
ther in Geometry or in Nature. There are rati ones primaquan- 
titdtum nafeentium , but not quantitates prim a nafeentes. Nature 
generates Quantities by continual Flux or Increafe ; and the 
ancient Geometers admitted fuch a Generation ef Areas and 
Solids, when they drew one Line intoanother by local Morion 
LI to 
