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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 1v, page id 00068073:0002
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sufficere, si summam finitorum terminorum quaerimus. Nam
duorum
si summam quaerimus solum  novem vel pauciorum Arium primorum
terminorum, qui non assurgunt nfra supra 10. possumus
Nigenti quatuor D)
sumere 02 ob. si 24 primorum rminorum, qui non assurgunt
supra 100 quaeramus summam, scribemus: 002 006 0d 014. 018. ex
Et ita porro: manente semper eadem calculandi ratione. Consid
Porro quaeramus jam differentias ipsorum f. vel f3. vel f.
Sit f f+d5 equ  (f - f aequ. (s f C + (5) - f.
f3) - f aequ. (5) + (s) f + f, (5) = f
(5) - f2 aequ (f3) + (57f + (f)5 + f (5)-
Ergo geremlitera f jam (5) - f hoc loco aequ. df
Ergo
f+d5 - f aequ. f + df, + f n df. seu 25 45 + ds
et.
f7df - f aequ 5 + 2f5 + ds + f + 5 5 + 5  seu 3 f l5 + 3f d5 + df
f+f- f aqu f435 d5 135a 5 +5 + f + 2fd5 + a5 tf + + 5 d5 1f   fds+S 5 + f as ,ds
itaque generliteo: Quod etiam sine calculo statim patet.
nd
itaque scupta jam summa: 1+ fi + f + f + fd quaeitur series cujus ista
sit differentalis la series quaesita sit a+ bf + cf +df +  tgf etc.
cujus differentia erit; daqo
da aequ. o
b df aequ 4b
10
cd aequ. 1bc 4cf
dd3 aequ. 64d +316df + 3, df
0
9d5+ aequ. 2569 +4,649f +, 169f 44, 495
hL55 aequi 24h + 5, bL f+10, 64hf 4 501bh f +5, Asif
et
ie
aequ. F. oqu
eu eu e
ec
aequ. aequ aequ
1f
0 154
Quo calculo, ut inveniamus valores: ipsarum literatum b. c. d, etc. primum
duas in sumamus nuum terminum, deinde duos, hinc tres, et ita porro.
b aequ  4
baqu  ac B c aque
C aequ 0.
d aequ. 
d aequ. 0
h aequ. =
20
b aequ: d
Caqu. - 2 baequ. + + 2-  aequ. 2 + 48
d aequ. 2
9aequ. - 10
unam
unde patet alternis aliquam aequa
caqu.  b aequ 4t2 4 tionem ut ista est, omitti posse
d aequ. 1 +6, 4 16
2
30
vel  + 4- -
vel 4 3
.Coqu 1 +. 24 - 8 aequ2 + 
3, 20
5
saliunde constet summa seriei, hoc modo poterimus serierum hujus modi
pro insorum valore prodeuntiam invenore summas.
 baequae 11 +59 - 16-
Ne recte expensa, video valorem literarum b. 9. c. ec rediturum
 v. ee