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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 15r, page id 00068201:0029
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ea
Lem. 25.5
L. 2, 5. 5.
Lem. 2. 5.
1
Hypoth.-
THF0s...
c = bd- + cd  b +c = d
b- + c = d
+ c - d bc - bd d
b6 t CC = = bc
12bb t dd = 2 bd
S. Pr. Anal. 13
cc. 1 dd = 2 cd
Demonserat.. Synes..
1 + 12 +1314 : 2 bb + 2c + 2 dd = 2bc 1 2bd + 2 cd
14  (2 15 : bb L cc + dd = bc = bd L cd
15 -- 16
6
17
en
2bd 1 2 cd
: bb + cc + dd
=- 2bd = 2 cd = bc -- bd - cg
bb F cc F dd
+ 2 bc- - 2 bd
2 cd
= bc queu
Sed . -- bb- + cc + dd
L2bc - 2 bd
b + c - d
cd
b +c d) bc - bd-
bb. + cc + dd
Fbc + bd + cd
22- + bc. bbd + cd
Aliter.
21 - =2 23: bb + cc - + dd - bc - bd - cd
+ 24  2bc -- 2bd - 2cd
3p 18
28]: bb + cc F dd
+26c - 2 bd  bc - bd - cd
2cd
26: ut prius .... in num . .. . . 20
1
b- F c = d.... .. . . . . - bc  bd. F c d
3 . .- 2 b = C L d . . . . . . . . . :. bc =bd F cd
5
b Fc = d...-
4 b- F c L d . . . . . .
5 b-+c - d .....
... bc = bd - + cd.. Si..
-. bc = bd. F cd.... empossibil...
--- = bc- + bd- + cd
6 -- b -- c- f a ......... - bc F bd f cd
b. =c - d . . ... ... . . .. - F bc -- bd - cd
8, 15
q
0
cd.......- quod evat demonstrandum.