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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 98v, page id 00068255:0196
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=196
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 175 lines, status machine
# Lines: 175 recognised, mean confidence 0.63
# 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.

a
quil
si a etb cdentibus 1,  _ sit 1.1
Alterutro existente 0.  9sit 0 poestoci 4- ab
se ab si a ccestente 1, g est e et stautie - a
si a existente 1 9 sit 0, et a existente 0, 4 ut 1
erit q= 1-a
si a et b existentibus 1, consitque sit 0, et alteratio
a existente 0, qsit 1. Ergo si art ab
1 - c 1 - d
2ab -12ab- 1 2ab- 1 2ab- 1 2ab 1 (2ab.1
2ab - 1
alluro
=a b+a - 1
ea nesient D asipitat Et ita pergendum essel, sed praestabu
ea ae
Xxtax-2a t a X = Fixistente 0 + sit 1
ent qu a+h.
Xtra -B seu E X = a =0 ergo q - ab a g- a - b = 49- a4- b
se X = (P 1 X 1
9= 2ab
abqus rab +b, si et 47
abtatb -1
a
400000000000000000+104
haec divisio abso producendal
quaenitur quolians d alabe
2b+
mo videosi b sit o ut a fit 1. ptram
non dia prvedere dhuscocam 
ila beu
et proide sic dicendur e qest0 si a extat
si a = 1 = b fit 9= 0. ergo 92 ab -1
Si avol b-0 pt q= 1 ergo q- ab+1
A- ab +1B in q - ab- 1- D dat
q-bq +2ab-) seu g- b- 1:3 2ab1
aq - rab L hab+ a
ut est
 si D est 0 eu 9aa
9ta =1 seu  = 1-a
21b =1
L 1
+
11)-
non ad singulas multiplicationas
cujusque copareteris in nominatore
per cparacterem quotientis
e e
detn residuas curbi in coluumnis
qui semel in universur viq nulli
quod prodit digeratur per columnas sec.
legem, ut ne ullus terminus excedat allo
casu 2, aut sit ullo casu cnfra o, qua
qodad licel quanquam non lictt seurer
ix. gr. iniho eatum secipsimus.a, inloluurna
aliqua solum
Bib-4- 4ab+2a- 2ab 9b) 11, : 2ab-1 ne
ant Z ab + 3: 2ab. 1(. Iq quam 1 et minus quao
am ab hoc duplicalo etcderuratur ayfitZ
atb. b b abtat a1b Ab- 2abe + G: - 22b+ 446- ab H. 29betC
+ e
16
1 + - = 1
+ 
1-
n talt
sonta ac da rabei ebul
2ab1 fit 44)ab +5afC- 5- 246C:7 2 ab -
esC
ee
1
0 e
5IC
ac
sed exttra calculum pecagi
plicetur rabcde per ab a,: 246-
aut  ater esse plus quam
GE 1 a). b) - 4 -2a- b, und detrah Lura
siet
ien. a 2ab agah husirolus (2na ofrab
 21
p
21.
1
et producm detrahendis ab 1a
in colcmna aliuda non est collereuda formula
+bb, 2ab 1 rursus ab-a
ua
b
ca aeicambobus existentibus 1sit, 2 ab + 2a -2 - 2ab+ b - ab+a- 3 a +b - ab -2 gab -2 - - ab + a- ab + 1.
t et ambobus 0, sit 90 ent qu ab
2x + = C) irgo cop. idralica
X∞a
Mabco exC
s
abr. tabra (-ab 6) -abcA . ald t Pabe. 1
qa
existente 1, q120 et ab existente 0, 4 est 1 C ab + a-
ergo q- 1- ab
- a. 69C-d-C
e
E
1
 21
1 F  
4:
5=
su n
2
FH.
+
i ∞te = = F 
2 =
1)- ) A x
2+
e
E
2EF
1 2
 1
10- (2= = =
T B ~ = c ∞1
ele
a
et  +
X
= (I ∞ = 1 I F F H
e
n 1
d
X
t.
3
EC      
-
i  L X  
  in d
t  
 i C
aere 
 
S _ F nF,
.
C X = 
e F
ad
 
53
cia e
 a
caabe
Tabut
e
e
pe. E   
c
E = F
∞ L
5E = ~
5E
i
e
c
ictab
ai 1abal
c
on
P
e
X
Mable
a(bc
2
L 51
E