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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 8r, page id 00068201:0015
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c
16-18 19
19 : (dd 20
: 3bdd L ddd
2b L d
20 (21 : b = d..- quod eft contr.. hypoth..
Vel 14322 b = d
22 X (dd 23
23
1b- 24
d. 13
3277.
5.2.1
6
Sit.
1328
24
25
26
27
bad = ddd
3bdd = ddd
2ccc = 2bbb
:c L b........ quod est contor.. hypoth..
Aequat.. aa a - - 3bba -
est impossibilis ... quod erat ostendendum.
b- + d -
29: aaa . 3bba =
2,2930
sit 1.
31, 32
S
32
33
33, antitu 34
Aliter.
6bbd
6bdd
ddd.. quam aequalitatem esse im
aequat.. Commun. aaa - 5bba - - 2CCC.. in qua...-
b =c... est impossibilis.. quod erat demonserandum.
Lemma.
Ostendendum est Aequationem... aaa - 3bba --
daa.. es
Hb - 36bb -- 2b6b - 6bbd- bbdd- dad. impossibilem.
6bbd + 6bdd + 2 dad --0.. quod ese impo ssibile
Sit 2. 35 a = b H a =  b + f
-360b - 2b6f
= =b8b - bbbd - 6bdd - 2dd
3bff. + fff. + 61d + 6bdd +2 ddd -- 0.. quod ese quoque impossibile
Sit 3. 33 a = b u a = - b- f
31,38 (39: bbb - 36bf + 3bff fff.
11: ( 47
ade
possibilem sequenti Lemmate demonseratur.
a = - b
31,35 36: 6bb + 36bf +3bff  f
36, antil. 37
39, antit. 40
40
41
36bb + 3bbf
2bbb -66bd -6bdd - ddd
:3bff + 6bbd + 6bdd + 2 ddd =
:3bf fff
: 3b L f
s
=-  2EcC..- in qua b =C..
b
Sbbd
tad