( > 9 °) 
h finitaSy ubi rel natura tulerit, excogitavi. Nam parcius fcrifo, 
quod h<z /peculations diu mib't faflidio effe coeperunt ; adco ut ah 
iifdem jam per quinque fere annos ab (tinner im, To this 
Mr. Leibnitz, in his Letter of Auguftx-}- \6~6. anfwered: 
£>uod dicer e videmini plerafque difficultates (exceptis Problematic 
bus Diophantseis,) ad feries Tnfinitas reduci ; id mihi non videtur. 
Suntenim mult a ufque adeomira fy implexa ut neque ab aquationi- 
bus pendeant neque ex Quadraturis. gualiafunt (?x multis alii s') 
Problemata methodi Tangeniium inverf<e. And Mr. Newton in 
his Letter of Offob. 2 4. 1676, replied: Ubi dixi omnia pene 
Problemata f olnbilia exiftere ; volui de Us preefertim intelligi circa 
qu£. Mathematici febaCtenus cccuparunt, velfaltem in quilus Ratio • 
cinia Mathematic a locum alt quern obtinere poffknt . Nam alia fane 
adeo perplexis conditionibus implicata excogitare liceat,ut non fatis 
comprebendere valeamus : & multo minus t ant arum computationum 
onus I uftintre quod ifta requirerent. Attamen ne nimium dixi(fe 
videar , inverfa de Tangent thus Problemata funt in pot eft ate , alia - 
qtte illis difficiliora. Ad qu a folvenda ufus fum duplici methodo , 
una concinniori, altera generaliori. Utramque vifum eft imprafen - 
tia literis tran/pojitis conjignare , ne propter alios idem obtinentes, 
inftitutum in. aliquibus mutare cogerer. 5 a cc d x 10 e ff h, &c. 
id eft 1 , Una methodus conftftit in extractions fiuentis quantitatis 
etc., /equations fimul involve nte fluxionem ejus : altera tantum in 
tiffumptione. feriei pro quantitate qualibet incognita, ex qua cetera 
commode derivari.poffunt ; & in coUationeterminorumhomologoru?n 
dtquationis refultantis ad eruendos terminos affumpt* feriei. By 
Mr. Newton $ two Letters, its certain that he had then (or ra- 
ther above five Years before,) found out the Redu&ion of 
Problems to fluxional Equations and converging Series : and 
by the Anfwer of Mr. Leibnitz to the firft of thofe Letters, 
its as certain that he had not then found out the Reduction of 
Problems either to differential Equations or to converging 
Series. 
And the fame is manifeft alfo by what Mr. Iseibnitz wrote 
ia th $ Alta Eruditomm, Anno 169 1, concerning this Matter. 
Jam 
