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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 116v, page id 00068194:0232
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aa +ba- LcC
+ d
aaatbadcea
daat bdat ccd
aa - bb
ab
aaa - bba
baa 1 66b
aaar baa + bba
Labaa F 2 bba
3ba a + 3bba
sc.
a
Theor.
-
.
He---
aaa+baa bba -
+ 2baa 2bba
+ 3baar 3 bba
666
+d
ra + ba. L ca
+ du tod. + cd
la +ba
Ct
64
c.
Trect.
Demonstrat.
dotccFdd +2bc
da 2cd
a
6b- Fcc + dd + 2bc et Lour ea
e. d.
a
l. + acd
He...
+ c.
Demonstrat..
d bb + cc + dd - 2bc - 2bd. + 2 cd site
Hypoth..
+ 4 bc- + qbd
bb F bc + cc - -- est B;
bbcc -+ bccc - -- ett 3;
bb + bcacc et bb -bc 2cc. est B:
: 2bb e 2cc. . . . est D;
 bb d cc ... est D;
: b e c. .. ett B;
In Aequatione Canonica num.. 2 4. Si pona.
+ca ... d - - b. + c.. mutata d. in b. +C. . . . . . . . .
erit. aaa - bba
+ bca 
+ cea =  - + bbc
ritque radix quaesit a.. a = - b..-
dem aegvatione foscco - bd - - bc. + cd
erit... aaa - bbaa
abdaa
ddaa
+ bbdd
b. + d
In Aequatione num. . 25..- posito d = - b. + c.
.- -- erit.- aaa - bba
-3bca
cea = = - b1
dix quaesita a = - b +c.
2bcc ..- e ra
In Aequatione num. 26.. posito - bc = bd
erit... aaa - bbaa
des quaesita
in que
: bb- + cc + dd + 2bc + 2bd + 2cd ri eni
+ d
b. + d
3bcaa
aceaa
b +c
-a-
8
bc
b +c
Corollarium.
+cd
obcc. - 
tc
Ex duabus praetedentibus Aequationum Canonic
um Reciebus (num.. 25. es 26.) earumque veductitiis
C58) manifestum est non omnes Requationes nega
tam habentes potestatem esse ambiguas, ac proinde
mata
rum
cente
in qua
aequat
ideoc
incide
Quod
ambius
Paroc
conclus
Sranc
esse co
team
de eo
co gra
one d
genet
nonise
liva
duci q
radic
set d
non
de ho
cessit
sasse
digue i
ab a
toec
mpta
gata
le de
radice
ac +c
negat
Theorema illud Vietae (CAP. XV. de Recognit.. Ae, tenic
quat:) quo asseritur, quam in aequationibus potestates de ter de
homogeneis adfectionum negantur radices esse anci. cathe
Pites, demonstrationemque Vcetae nullam inferre in
magi
ejusmodi aequationibus ambiguitatis necessitatem. kire
non esse necessario ec universaliter verum,
tuma
52g.
+ bcC-- e
Porro in ea
2C=
clas ab.