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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 6r, page id 00067996:0011
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 77 lines, status machine
# Lines: 77 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.

Veo  An
Zd r com
b9 + by 1 c 
Qa r b9
2fN
l
cost
Vcop br
ca
e
a
divisio.
+c
e
2
ponendo Jam Z conlinere
et 2cop Z A. procedee
Alith si ponas mnari divisione
quotier E a  8 hale
co
problematis, quando subest, reddi manifestam; ala utius quaeri vebet.
Aliam autem ego reperio meliorem nullam quam danc:
ret quaestio
a fractis ad integros, etiam in ata analyticis traducatur:
itaque fiet.
fier:
a
pro A ponemus
ca +
Co
y’a
pro Y ponemus
Nam b. datum, ponam, esse integrum
num si non sit omnia per ejus denominatorem
muet plranda sunt.
a
r
V
est + Vaco  bco d; ac
necesse est omnes quantitates; Z: st. Y. co. a. b esse integros:
Hinc jam  ex integiorum natura factis divisionibus problema in arctum
contiudi potest. Eninu in fineu novis opus erit notis, quibus designetur
qu numonorum seu literarum factores primi.
ob aequationem novissimam
adeique indivisibilis, ceit  Y
fier:
+
ua
L
e
N
x. y
 e
 + Vaco
c. g.
quia ergo a unitas
 integer, vergo et reo integer, ergo
le
co divisibilis per d. Ergo vel _ 1 contineti A, vel 0 vel ponao
si si est numerus primus;  si sit A sit numerus o compositus, fieri tanon
potest ut A  vel eo sigillatim altruter, aut eum aut si vis uteque
quod tamen ine  ad rem pertinent, eum contineant: st sit sei tamen
et fieri potest, et continget frequentibus ut aliquot ejus factores contineat
relquos contineat ed, qui casus  it possit ita enuntiari ut caeteros
comprehendat, generaliter sequendus fici est.
Sed eam in rem opus est
novis signis, ob variotum casuum possibilititem, pone vius
primos factores ipsius A esse:
cdef potest ergo concipi:
1  cdm et co retus, vel etiam
e
V7 Am et cdem, et Copi fg
alioue combinationibus infinitis, quae una generali nota designamae
sunt tamen, edque rem posset ca tunc modum
quod si fieri
fieri quo ca exslet: residum
cors