<c 
u 
(C 
u 
(C 
u 
( >4^ ) 
The Author, a little before hisDeceafe has informed 
us (in a Letter of May 5 *. wrote to his Friend Mr. Jones) 
that Geometers had not yet promoted the inverle 
Method of Fluxions, by Conic Areas, or by Mea- 
“ fures of Ratio’s and Angles, lb far as it is capable of 
being promoted by thofe Methods. There is an 
infinite Field (fays he) flill referved, which it has 
been my Fortune to find an Entrance into. Not to 
keep you longer in Sulpenle, I have found out a ge- 
“ neral and beautiful Method by Meafures of Ratio’s 
“ and Angles for the Fluent of any Quantity which 
d z ^ 
“ can come under this Form — , in 
which d^e,f are any conflant Quantities, .2 the vari- 
“ able,yi any Index, 0 any whole Number affirmative or 
negative, ~ any Fradtion whatever. The Fluents of 
this Form which have hitherto been confidered are 
. 9 yi — I ,• + 
d Z Z d Z Z 
^ r— : Thele you remem- 
e-^-fz*' e-^-Jz^ 
« ber are Sir Ifaac Newton's two firfl, and fi'om 
thefe all his others are eafily deduced. And as - his 
“ irrational Forms of the quadratick Kind are derived 
from the rational, fo from my general rational 
Form I deduce irrational ones of all Kinds. For in- 
fiance, if — reprefent any affirmative or negative 
« Fradion, the Fluent of any Qiiantity of this Form 
cc 
dz. 
6/]— I 
or of this dzz 
9. 
« ^ e-j~fz>^ ] A ^nd fo of fome others, depends upon 
g-\~h z>>! the 
