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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 131r, page id 00067993:0263
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e4
duaoratura
Htypesbilae ex
datus juculi
vel quusaqu.
unicviditur
sequi
impsibitem
este utriqque
quaraturam
etam speccalem
3 y4 et a
. inde Z) a at  a a + b + b  6 Quadratum Arilhmetica liculi et erp. nomnihit variata. ponemo 4 rego. u Bx b. ut pencamentum ani
qud alsardum
caleutruu
em
Hoc 
an quadnt ciiculi et hypes
ut 2
per extractionem radicis damplicis
+Cy + d
qua 
D+C
rractionis supercais ordinariae ex aequatione
je
Me
Ita et ope rinomiorum, tunc cum aequa
hones sunt duarum incognitarum.
firet puliherima ratio
ivestigandi aequationum radices, quae
simul exactam et proximam verae dare
mit quod difficultas ab eo quod non
facile in numeris tractabilis, ob fracto.
+by + ct d
Ut vadices extrahi possunt ose binomiorum,
ere imtr
bia set eum
extraheres opid
+b y +cV+ d0
aequatio ex ea radio extrati potest
ex superiore: V + by+ C y + d’ ypo
pe extractionem radicis quadrato qua
diaticae, cum etiam ex cper inferi
y + bV + C+ ds
ae extractionem radicis YA
quadraticae, imo et per simplicem,
fiat:
C+
 ad hanc extractionem radicis
plicis omnios reduci possunt aequa
provenit radiorationali
sequitur etiam spes
est ex puipt
cibus radi
eractam
provirc
tum ut fiat, tum etiam ut s
rem, si fiat:
frories, quod si ut in methodo vietae ope
eca
d
13
jam ex 
veltum radiam
se in vicem pendeant
sit aequatio quaelibet
b
-9b -1b 2b
Atque hac in
extrahi potest quand quacra
tica imo nihil est quia
fi y in suum valorem asubitu
quaevis radix tam facile