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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 15
# Folio 2v, page id 00068086:0004
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indemebat,
dunt
diffrae
Ima
+ et
ete
etc
inveniebaerino p suimo a, di
posit
a- ca = 15 + 1g + ih + 1i + 1k + etc
a-  = il + 2m + 3n + 4co + 5p + etc
a- cd = 19 + 3r + 65 + 10t + 15u + et
a -  = 1β + A) + 106 + 20E + 356 + etc
etc
a--
Et rursus
1t - i
+1f - 2l + 14
+it _3l +38 = 14
Al +69 - 45
n en etd ete
et
Unde differentias primas, secundas, tercias, quartas
a
vecande ddd Unde loquendo stylo atre a se
etr
o, inveniebat
postea introducto, et terminum seriei ponendo vocantos, (quo caso etiam est a = y,
voca
differentiam primamdu, secundam ddy, tertiam d’y
quartam dTy; et rarsus 1+ 1 + 1 FI et Vocando X,
12+3+4 t etc vocando fx et 1+ 3. +6 + 10 vocundo sX
et terminum alterius seriei vocando X ummam horum fx vocare sx
et summam summarum seu secundam summam secundam s(x,.
et summam tertiam  s3X, et summam quartam AX
Hinc posito 1+ 1 + 1+ 1+ 1 + etc. esse X, = f tunc 143+6+10  + etc fit =. sx
et 1+ 4 + 10 + 20 + etc fit = s)x et 145+15 +35 + etc fit = sX, et
Ita porro. Unde tandem sit:
ya - c0 = dyX = sddy sX + desy ssx  d’y p.X + etc 
 quod est = Y posito continuari in infinitum, seu fieri co = 0
et fiet a vel y  du X ddyx Unde etiam
sequitur summatio serie ipsius serier, seu fit.
y = yX = dysx + dx s(X - d X PX + etc. quae bina
Calculo diferentiali, utam At Numerico, quam infinitesimali; de quae discime infradicemus.
quorum,
theoremata id habent egregium ut locum habeant tam in in utroque
dolescens
sed ea nostro tunc peoni, tunc prorsus ignota erat, sat su
habebat ille talia in numerorum seriebus cum voluptate observasse
licert
= seu X esse numeros
naturales, quorum
cx = 1
+ad pomciriam
applicatio et ad
setres etium rifinitas
Numericarum autem