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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 42r, page id 00068200:0085
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# Lines: 59 recognised, mean confidence 0.74
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ab
2C
v
quaentur an possibilis, in numeris integiis
hoc aequatio:
a7b
(4)
estf
lmn aequ. m.
lman aequ BY
P
V
2
. +Mn + n , lm
e
0
2
2
l’amne lm=n
 ImAr+
Ergo Mn +n, divisibiles per M, ergo
quia M prius etiam vel n, vel m + 1
divisibiles per n l.
e
nvel m + 1 divisib. per l sed non H, ergo M +1
rursus l R divisibiles per MI
2
ev vel m-1 divisib. per n sed non l ergo
te l’in pm m t0 N p
M- 1 divisibilis, per
ergo ael m+1 divsibilis per B
vel m - 1
a
m∞i
10
vel m+i et m-1. divisibiles per n. quod
est absurdum nam duo numeri binario differentes
melum cabere possunt communem divisorem prae
geque binarimus sed hoc locont, utique majorbinar
est enm minuum A. itaque necesse fret n
esse binarium. Si m +1 ilivrsit per nd
fet. in p 4 e hin  1
Ergo h n  Ehn +, 41 divisibl. per
12
L 4 H
m +1
A l+n  her  2hn + 1
v
hnchne +IC 1 +n divisib. per hn =1
Ergo  m + 1p P. V + n  m
v
Ergo ne ee n Ergo n’i est minor
quam  quod est g hy pothesio
aequ. ef. aibe
et in inlegnis impostinlis fei a +bt a.
seu act b+ abed
igrogibile esse patet.
quod in integris
2