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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 15v, page id 00068231:0030
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vod in Aequatione
ponendo
quod ponendo si X aequ a + b + c + d et A ponantur 
esse hae quatuor literae esse radices quinti gradus surdesolidae
qualuoo radicum qui gradus quarti patet ipsum quidem
a habere grad casus possibiles viginti, nam unaquaeque radir
cosres
quarti gradus habet quatuor grasus possibiles et una quaeque
rcidix surdesolidi habet quinque casus possibiles eodem manenti
extrahendo. Hinae necesse est ponindae si velimus collere
sirationales assurri debere ad gradum 2omum. seu Hinc
si spti  sit velsi a vel bvel cvel d. Et quaeratur 
necossario assurgetur ad ogesimum grdum Et habeantur; qualuvi
aequationes sufficientes ad determinandas has qualuor literas
 a vel bvel c vel d necesse erit a assurgere ad
caequationem pro una hujus modi litera assurgere ad eomumi
gradum at pro sunde solido ejus assurgere ad gradum 4 tum
10
a a a a. relic
0
unde sequitur solum extare a.
in
vero terminos omnes deesse in aequadne. Nam surdesolidum
ipsim a cum sit radix quartu gradus ralcet tantum quinque cas
possibiles. Hinc pro a vel bob vel c vel d scribendo 
e
e
0
quiadatur tantum a v
+ a v3 + ab v + abc v + abedet
ay.
etc
et
quis tales ee
debele constet,
nempe iationales
surdesolidas ex
simplices ex
extrahendas
ex quadrato-
quadradicis
generaliter
affectis)