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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 5v, page id 00068201:0010
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5
6+
4, 17
22020).
Aequat.. reducit.. 1.
aaa bba
+ bca
cca=
Si ..- b = c .-- a =
E .... b LC..-: a
C  b
Aeguat.- redaci... 2.
aaa - bba
+ bca
cca=
si.. b = C..: a
Si  bLC.n a=
b Hc - - b.-
Hae duae aequationes sunt conjugate
ut ex sola utriusque infpectione ac
collatione pat et. quod adnotasse
fuit oportunum.
e
a= C
aaCc
3 aaa = cCC
4 aana - CcCC
+ aaaaa =   CCCCC.. dec..
6
2
E
ba = bc
baa = = bcc
bana becc
baana = bcccc. c-
bta = bbc
10 bbaa = Hbcc
11 bbana = bbccc
12 bbaaaa= bbcccc. dec.
13
Hba = bc
14 bbbaa = bbbec
15 bobaaa- bbtucc
16 bbbaana = bbbcccc . .. dccu
bbba Hbbe .. c. dc in infinctuem...
Ax praenissis Aeqrationibus deducuntur per additionem. Aequationes in
finitae de eadem radice c. explicabiles. hoc modo:
18 1. aa + ba = + bc
C
192. aaa t baa L bba=
+ bbc
+ bcc
CCC
2(3. aaaa + baaa L bbaa- + bbba
e
+10. = 13
L7+
ooc
bbcc
bcCC
CCCC
+. 8, 11, (21 4 aaaaa + baaaa  bbaaa + bbbaa + b660a -
Fe eadem in infinituum methodo..
bcc
 bbccc
 bcccC
+ CCCCC
Dc