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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 27
# Folio 10v, page id 00068240:0020
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resolonnu ergo primum: ea M- ca  ba - Md
N
ac faciamus eaM - Ra, unde NRa + ca
pone NR
N
ea
 a5. ca fier;  Sa
H M
ergo Sap ea, eritue T7M. Ergo M
ergo NRa A ea M = ca
rba + ca
. Ergo Nd M + ea M Nba + ca
Nd + ea
Ergo Nd M + ea M - Nba
ea
itaque si neque ea, neque ba divisibiles per C, fiet. N C∞, et M
et fet: ct PdQ + eat2  - fPba
au
a
a
c Pd Z + ea Z - Pba  at et: a + Pb a
sive QC Pd + c a L
a2 + pb a
sioe:
cPd + ea
Tantum ergo sufficit Q. esse 
tiplicabilem per multiplum
ab
1 + pb
et inquorendum est alibi, an alia solutio reperiri queat ita
sane, si aliter transposuissemus. quaerendo P, loco ipsius Z
Idem poterat fieri statim ab initio;
Nd Ma+ ea M a sumendo M A a N R + calR
aNb + ca
fier: Xto
sive Rpa
a
Nd R + ea R  a. Ergo Nd + ea p4.
Ergo N )  ea integer
sed si inipiamus divisionem:  d M a. Ergo M  ab. Ergo
b divisibilis per d. ergo ea M egum prn seu b Md
et eut ca  ea M. Ergo C divisibilis per e. quemadmodam
 per D. hac solvendi methodo. Eodem modo per singulas partes iri
potest dividendo, incissiendo modo a car, in NdM, modo aliter
d
dux 
od
v.
e
l
+
t
55
d.