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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 5
# Folio 18v, page id 00068002:0036
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068002&page=36
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 175 lines, status machine
# Lines: 175 recognised, mean confidence 0.76
# 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.

sun
2
omamus formam paulo altiorem a
a.. .. . . 1 E
2
(ab habhB.... 3
ab (ab EB
q
21.....6
2 5a..... .. 7
(ab habhb...  9
abC
.. . . . 10
c hac he .. 12
.- 12
abc fab E8.
. 15
ac Ec .. 16
. 1
bchc.. 12
ad
ababc
a625 ab 5 a.... . -. 19
b. -a.
1b..
AbCG, ab Etini
abC hac Ec.
Ebe heiit
b0
vac
bbaac
aat
baacb
aac bs
(b2..... .. . . 28
b
caab
ca
1C
abat
cabab
bc Ec. . 36
gace
ub
e
 Eba
E ab
bbcaa
bebaa
cbbaa
Hic ab inter resolvendum
sccunit semel quia protit
dividendo abc sper c sed
C est invariabilis.
abc occurrit similiter semel
a b occurrit bis, qui fit ex abc
diviso per bc quod variabelet
abe occurrit bis quia prodit
abc dividendo per ab
a occurrit ter quia prodit
ividendo abc per bc
ab occunit s nam prodit
dividendo abc per abc
cujus sunt variatioves 6.
a occurrit vicibus ar
(computando eos quibus
est in a
dividendo prodit dividendo
abc per abc cujus
sunt pariationes
2
Remini cum valores quarerem ipsorum a a a, a et per
ipsas X, y (id est ab), 2sid est abc) etc similem haberi poocessum pro parte
nest quod pro X nisi quod pro y vel y, vel y, etc de dant non ut hic 1, sed 2
3, 2, etc dant 3. Atque ita jam suppte occurrit modus construendi
Cdefficienles formarum ex ssq X, 7, Z, in valoribus ipsorum a, a, 1 etc.
Nempea sit fomma in exemplum forma jyZ qaelcreitenei quae hanc
yy8
dabit resolutionem et coefficientis investigationem yy2y
2
y .. . . 2
itaque ipsius coeffiniens quq coefficiens est 7, sare  cum gyque sit septim
quidus debuit esse numerus divisibilis, per
Nn similiter Xy
sic et ytus syt..
Xyy
y
Xy (Xy hy.. . 2
y7
(y3.
is
exyhys...
yy ....
xyZue Cxyh ...
XZIE..
7ZEZ..,.
yyque 59y.......
y2 EZ
2yy ... . . 2
y
.. . . . 1
.2
.
.
(yZZ (xyue (X7 E. niiia
XZ E.... 3
EG.-1. 3
....
XZZ5YZ 13.n
2Z..........
y22572hZ.
e2
1. 2
B.. 2
si.. 
od
gy....
-12
yy7ue (472 1725Z... . . 3
922Z72EZ..
112
.
Eaddim mahodo inveligabimias
2
. 3
ubi ruasus quia x est septimi gradus prodit
numerus divisibilis sier 7
ubi prod quia sZ est _ underimi gradus
prodit numerus divisibilis per 11
Hinc jam offert se ratio
porro X occurrit tot vicibus quot sunt transpo–
sitiones formae quae fit xgyZ dividendo
per X nempeu formae yyueque cujus trarspositiones
sunt 6. multipl. per 1. quia ipsius X character est 1
y (computando gy,) occurrit tot vicibus
quol sunt transpositiones forme XyZZ, nempe
quae sit dividendo
sins
per 2 quia
charurter. es
2
Eibus
dem vi
r multipl per 3 7
Ergo coefficiens ipsius ryyZZ in patentia
pro
quid st
valere ipsit a est + 6.1 + 12. 2 + 12. 3 = 66
qui numerus (ut debet) dividi potest per 11
Alio tempore (cum magis vacabit
indagabimus etiam aliarum formarum
Valores per X, y, Z, etc, uti jan
habemus valores  formarum qua con uniliterarum a, vel a vel a et
se
ss
e
S
p25ab
. 15
4
3
e
b
f. 6
.e
ac
o
e
Ab
Ne sil
ab
abc sab
e
u rc. 
(Xy93