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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 9v, page id 00068241:0018
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Resolulio aequalionum
ierome
quaeuent non cum
Cartesio aequaliare dividens e sed aequatione hat
e comt inferigres condivisibiles 13
eri
nai
e
Assumatur alia X + bX +
XX + bX + C
X + C.
X+ bXX + CX
+ exX +be X + et
1
+ p + qaeque
(2quam
C + eca
+e XX + bCX ol
constat esse divisibilem
1
larum duarum aequationum
C1
quaeratur communis divisar
fiet primum subtrahendo: +b XV + cX + ec aequ0
1+ e XX +bex - 9.
er hanc dividatur aequ. 1 = pX
et quotiens X et sulbemus:
c+be-p
bic
L XX
b+C
+ p X
= eCtq X
b+e
+ q
aquav.
quarursus dividemus ego4. aequationem 3.
et ta pergendo sublata e tandem
invenietur aequatio quae efficienda est
si quidem veras per explicatas. b. c. e. sigdem
possibile est 1 et c. habent communet
trivisorem Hinc habetur methodus aequ. 1.
e
datam reducendi ad proxime inferioress; divere
ab ea quam adhibuit Cartesius, non enimus
olumus aqu. 1 et E. Coincidere seu esse
comparandas sed saltem hadere divisores
communes. Et ita in ultima aequatione
equationis  assumtitiae omnes literae
nempe b. c. C. manent ad huc arbitraria
dem brevius obinor, quia depressionem
glarimu