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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 10v, page id 00068201:0020
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P20205.
Ostendendum est Aequat. . commun.. . aa - - 2 ba = = - cc. -- in qua
b = C... esse impossibilem...
Demonstrat.. Synthet..
Bantit. 3 aa + cc   + 2 ba
Sit 1.. 4 a = c
qartit. 5 a -c = 0
5dH. 6 aa - 2ca + cC  0
6, antit. 7 aa 1 CC -  1 2Ca
X 8 2a
2X 8 9 2ba = 2ca
239 10: a a -F Cc = 2 b a .. . . quod ese 1..
Sit 2. 11 a = c
11 antit 12 a  c = 0
12 DH. 13 aa - 2 ca tCC= 0
13, antit. 14 aa YCC = 1 2 ca
sit 3.
15
aa t cc = 26 a . . . . - quo est 2.
16 a = c
16, antit 17 a c  0
12, 15 18: aa-L Cc = + 2b a . . . . quod ese 3.
Conclus. 19.: aa = 2ba  - cC .. . . quod c. 0.
310
Confertar.-
vel potiul.
Hypoth.
Aequat... aa - 2ba =  -  cc.-- in qua b = c... est im.
possibilu. quod demonserandum proponebatur.
Aliter.-
+ Zca
ec. 5.
PV. Ana
20,2. 1
22
2X (2a (21 2ca = 2ba
aa  2ba= - cC
i ad Cc = 2ba
inba . quod etat pdbanoum.
SHFOR..
Hygoth.
 b-+
d
d. F cd
= bc
aa  CC