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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 10r, page id 00068201:0019
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n
ecc
3X4
3
4
aa a = 3bba + 2bbb F ZCCc0... Aequat. impossibil.
a- d -0
aaaa = daaa = 3bb a a + 2 bbba
 3bbda
 2CCCC
--- hajus Aequat.-.. a = d
Aequat... Comm. . - aa a - - 3baa   - 4CCc.. en qua
-- b X c... de duplici radice explicabilis est.. Aequipollet
enim huic Canonice. aaa bbaa
Haic Aequat. Coniugata est
canonu haec.. aaa + bbaa
a =- bc
b. +c
+beaa
LcCaa
b +c
bcaa
ccaa  = 6bccde dupl
6 1 c
Hcc
b Lc
6 +c
ciradice b u c explica a
bili--
quodsi sit. b Lc.. erit impossibilis, aequi pollens huic Canoni.
cae impossibili... aaa- 3baa =
sic demonseratur...
a b
-- 46bb - 4999. -.. quod
Huic Aequat.. Coniugata est
haec canon. aa a + 3b aa - - + 46bb
 6bb - 3666 =- 4 bbb - 499q
+ 444
d comuni coniuga.
2bbb + 4999 = 0.... quod ese impossibil. ta ete haec commun
a = b u a =- b + d
bbb + 3bbd + 36dd + ddd
nis aaa + 3baa-- + qCCC..
inqua similiter... b LC
366b - 66bd - 3bdd -  - 46bb -- 4499
266b 1 ddd 1 4999 = -- + 3bbd
ddd - 36bd-
2666 - 4999... quae aequalitas est
..- bbb L 6bb- + 2449... ut supra demon. impossib il.. propter.
a = b u a - = b -- d
6bb - 36bd + 3bdd - ddd
seratum est.
366b. + 6bbd 3bdd.- 4bbb - +994
2bbb + 3bbd + 4ccc =  1 ddd
=b6b  dad
bbb = ddd
H 3bbd = ddd
3bb = dd: bb = dd
 b = d... quod ese contr. hypoth..
b = d... 9. e. contn. hyp.
Aequat.. Canonic. aaa.- 3b aa  . 46b6- 4999... ese impos
tilis, seu de nulla radice explicab.. quod evat demonstrandum se
sit 1
53 6
7, antit.
sit 2.
539
10, antit.
I13 antit.
Sit 3.
53 14
15, antit.
67
18, cud C
8, 127
8
12
9
13
ecce
2c
bba
c