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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 43v, page id 00068200:0088
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De
4
Qvaeritur
9. (m- 9. m.) mt g. an possint
simul omnes, esse quatrati
seu an M- G et M +C9 simul possint
esse quadrati. ponendo m et G esse
incondioisibiles
ergo M + G et M -G sunt quadrati
e M + Gr e
Ergo M +G + 2G M est quadratus
N.
a
Ergor  +B M + GB _
M - G
M-Gr 2
Ergo M F= G. H
12
 + G
Ergo G5 B2 90. et M +2
4
Ergo +2 (2pign), p
e
pa
B44 9 p 2 quadr.
esse ostendendum est
+
ot
2p 190)
M + G1
s
E S+ GBM
Ergo R2 G15) 5 +G2. Ergo R 5+2G
M-G5.
M. 5 1 G2
R. M HG
u
1 -G2, M
P= M
R- 52 H2. nI =
R,. A 2 N- 5.
quad quad
M + G. M - G.
quadr. quadr
M + S, M - 5
quad quad
R+M. R- M
quad quad
R + G. R- G
Jaut duplus. dupliquadant quad.
R+ 5
 Lu H
1 quad
quod est imposibile
4-221) Z Ce 2 quadr = 2. 2
2
R- 3
.Ergo. M
Ergo M- Sp
2. 71
X5
M= S R - MV
+M seu R+M, R - M M+ S, M. 5.
A. M. s. non sunt comprensurabiles
R- M  H. Ergo RB A+M.
M