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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 78, page id 175905688X:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=100
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

et
E
G F O M E Y R F A
16, _ Prorenit 1 8 yy, reponendum in quotienteo
Mulciplicando vero hoc ipsum perry, exlurgit - 8y 4
addendum cermino diridendo; qui etiam cAt - 8y 4u
quae quidem limul contciune  16gt, quod per = 16
dirido, _ Ac L Fpt pro quotiente, e- 1y addendum
ip(. F 2g, id quod facit o, monstratque dirilionem esse
ad finem perductam. Ouod si vero quanticas aliqua su-
pertuislet, vel aliquis praecedentium terminorum abs-
que tractione diridi non pocuisset, manifectum fuisset
divisionem nullo modo teri potuisse.
e
Similicer Si habeaturg5 + aa  = at
p 2 atCCD O.
=2cc. + c4) = ac ct
ultimus cerminus absque Fractione diridi porest per an
aa aa F 6C, a == acc, delimiles. Scd duas suficie ex
illis considerare, nempe aa, e aa F cc; alix enim, cum
in quotiente plures paucioretre dimentiones exhribeant,
quam quidem in quantitace cognita penulcimi termini
reperiuntur, impedirene, uc dirilio heri posset. VBi
nocandum, me iplius y dimentiones tantum pro eri-
bus dimentionibus habere, cum non reperiatur p, nCC y3,
nec y in tora summa. Lxaminando isitur binomium
gy - aa - cc, invenitur divisionem per illud heri pose,
hocmodo:
+96   a t at
 2 a+ CC ∞ O7
2cc) + et)) = a a et
aa CE
5b = 2a a
at
 cC
aaCC
aa CC  aa cC
 9t + aa
1 a+
= ccV) = AaCC∞O.
Id quod monstrat radicem quaelitam elle a a-F. 66.
Duemadmodum facile per mulciplicationem probais
ocella
A
e
AIE
celle
il
la
Ded
duII
_ co
AUFII