a 
( <^3 5 ) 
ft y. a 'x. &c. y/i-\-p — i « a y a pn 
p-\- If} p -f- I » 
•y a'i- in y &c- x 4 -I- p 4- i n , . n i 
, crc. hoc eft, valoo 
r ^ . r xy X -\-f}y ^c. x x -j- p 
res iuccemvos iplius ^ 
; & eo- 
p-\-i n 
rum differencia:, pro a, I, c, <&c. fumendse, crunt 
4 X /t - - n X &c. ^~a4p — * 4 »x 4 -f z » x ^f.x a~rpff, 
^c. qui fume ipfiflimi termini Seriei propofitae. Sed 
comparando has Series, fi te rminus alig uis Seriei pofte- 
rioris fit x Y^^-r-ny ^c. x x •+ p — i cohftac termi- 
num uno ulceriorem in Serie priori fore 
— 'ffT Summa itaque Serici pofte- 
tioris ufque terminum x x xJ^ny&c,^ x q- p i ^ m- 
clufive eft 
xyx-\>nx^c.yx4pf } — 4- *-»X4X^g.x gJ^p-^jn 
pHr i» 
^E. D. 
Scholium I. In hie propofitione continetur particula 
qusedam Methodi incrementorum, de qui ante biennium 
librum edidit-D. Brook Taylor Soc, Reg. Lond. Seer, mihi 
amicitia conjundiflimus. Librum ipftjm adeat qui de 
ea methodo plura feire velit •• ad inftitutumnoftrum ftiffi- 
cit obiervare quanta interfit afSnitas inter Method um hanc 
& Methodum Fluxionum feu differentialem Nam ut in 
Methodo differentiali, ad inveniendum difterentiale ip- 
fius X dignitatis x”, unum latus x convertendum eft in 
differentiam <a?x; & ortum ducendum eft in dignitatis 
I ndicem m, ui {it m dx x”* - ^ difterentiale qusfitum ; ftc 
in Methodo Increm entor u m Ad in veniendum Incrementum 
fa6H hujufmodi xxx-|-»xxq'z^, (ythi f Adores x + 
