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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 27
# Folio 9r, page id 00068240:0017
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) C + n ab. esto Cn el et de, hl fier. 
redusticue fractionibus sublatis. C
el n (+ fk
ut
la
ms
orso
92
+
erpr a + ft gl 1 g m ab.
V
L 1
Pane gm  hg ran, et ab , (l + fl, unde ex 5 fiet.
ija
c
e
quel + 2hgan Bl + an βl
ponc h h+ m + n, et (S
2
A
 ab
team
AC. +nV
u
e m + (ab g m )+ Blg m + ab gr 2 2ma
el. 1+ 
9
mp
Nem a b)
m + Blg m + abg 12
e
v
et () fl  ab +B1 fier,
gem ab)  Pone (
+ abglimip
el. g
sive (10) et m Y Blg m + abl P + amlpgaba
+. βl
Divellatur haec Aequatio in duas quarum una
11)
aja
... . - . β1
3
H e
elm +Blg m + 2mlpg ab, 10. Sive divisis omnibusper n
la
elm + Bl9 m + 2lpg ab 0 sire
Hinc m - rpg ab
fiet ex aeq. 11.
ja
e + B(qV
2
vel p Si ponatur e r 9
sequens:
sed nihil inde ducemus.
ab1
3C.
 oequio
Bl. B92 H 29Bb ab e l +Bgr
Unde 
Residna aequatio
+ 21pg6b - 2pg ab
P2Bb a
BI
ab 1
9
st ld
N0; sive abl alae pb ab 7o
3
abl e
β1
n
e l+ Bgr
β6a g2
- β13
vel
quae solutio su quidem fit impossibilis, nisi
2Bb a - p
ab  sit quadratus.
At ergo problema recte solvatur ad numeros integros revocanda
sunt omnia. Quod si ergo aequatio sit in integris ) on +ftigil- g’ m ab o
ponendo f. et b. esse interios; necesse est fhgu
s
=q’ab
esse  m integro. Quod
si jam f. sit numer prim Erit ergo fligt et- g’abs quam ut in integris
2ja
resolvamus, fier: fh E
fiet: filt
vel eri 
et fier: shl  genutit
numeros
sg
Cg
a
poe fhl gn
g2b)
 9ab)
Resolutos intelligamus g. n. S. in omnes prims ex quibus compenuntur, quantum opus
esst in rem nostram, id est quantum opus est ut appareat en dividi posse per s
Atque ita quidem facere necesse esst, ut problema pleni resolvatur, inderim vero com–
pendrosius statim ab initioponemus e divisbde per g, in aeq. 8. vel si mavis (divisibile
per g. donec appareat nagpositiones nos ducere sa imporibile ponento ergo eps  fier
cis
sit
5i 05 09 280b5, et  h r 95
qpis
p= ab
fingamtus (13) SM f4, fier:
ab. sed cantione aliqua opus video, nempe ex aeq. 6, patet esse g ab mauquam
ft 14
Cm
Na