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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 43r, page id 00068200:0087
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M -G7, sr
fit  et M - 5 G, fint a - aeb b
quod
est impossibile Ergo sitt MG. men
possent simul in integiis ess qusadha si
2
M+ G, M G p S
A
Ergo M a -G. 7b +G
Ergo
a- b
et Me ae +b
it
G
M-57G. a, 2alb- aV s
2
es
Ergo RB
Hinc aequationes duae:
A
1+5
M - S G fiet: Mp a + b
AR= M 1G fiet R⊓ e + 
Ergo abpi et
a + VB. e- f
0
v
Sp a- b Gat
Moe Get
 a +b + 2ab pi e f + ref
Ergo e- f + ref est quadratus
a + = Y C - F. aequatio impostibilis
a
et
f  in numeris
a+b= 2abp e- f 2ef r, quad
si ap  erit fp BL
a  aob etf.
a-br 8-f
Ha aequalius impossibiles in Mregris.
Hor Namquia ab aequ et, erit fp, ab.
substituatus hic valor in aequ a +b B C fr, fier
a +b pet  ab0
C
quod in intagiis impossibile est.
impossibile
est ergo n G M -G, et si+Gnsimul
aquar quadrato Ergo impossibile ras
qualuor quantitates simul aequam
quadrato:
Si duorum quadratorum sommae aequentur duorum
quadratorum aliorum differentus, impossibile est
rectangula sut illorum lateribus, aequati laterbus sub
rectangulis horum duorum
si Rectangulam sub duobus ratieribus, aequentur rectangulo
sub aliis duobus lateribus, nonot dif impessibile est
differentiam, quadmtorum Ab illis aequari summae qua
diutorum ab his.
M + G17 a. M=GBB sp ab
Seab
a-21615
in numeris
iptegrs