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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 143, page id 175906937X:0167
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=167
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

L180
vestabueii
1
2n+
dqua
2O.
X3.
pE ∞ LX3-
IM H
De
lequentet
duarum
00.
DXF+
I (1 pcOp
is vel mos
fueric a
et, e
 quam
MarIOI
aUII IIII.
et X MB)
CC LeTIM
13jore qu
WX7
A, O U A Y L O H U H.
243
L B3 X aequale aut majus quam l x3 L m m ∞ X - L n3 X, dC per
conlequens majus quam pa; ideoque x major quam
imm. L m3 F n3. EInde si tuerie m rel aequalis vel major quainn,
eriex necessario major quam minor horum duorum terminorum
A
m _ Imm. L m . f. 25; d S n tuerit major quam m, consimili ra-
rione demonstrabitur x etiam necellario majorem esse minore
horum duorum terminorum n et Inn. Lmmn. f , 3. Turenius
ergo unamquam que duorum radicum aequationis propolitae ina-
jorem esse minore horum terminorum M 
Emm. L. m3- f 13. .
n vel aequalis rel major fuerie quami n; aut majorem minore
inn Lmmn. f n3. Cin major sic quomm; at vero sem-
per minorem quam l. f M + n.
Prop. 4.. X +  l. X3 -MMX X. L n3X L p4 ∞ O.
Per cranspolitionem est lX 3 - m M X N ∞ X + - f 113X- ] p+
Ideoque LX 3 LM M X x MajuS quam X +, _ lX- L m m 11I aj1S.
quam xx. Jem situerit propolita aequatiorealis, erit e x realis,
de vel aequalis rel major rel minor quam m. Ouod si fueriex-
qualis vel major, erit lxmx majus quam x X, e l. f. m M2-
jor quam u; ee multo magis, sifuerie x minor quamm. ErgO x.
necellario minor erit quam l- L m. Unde li fuerit a major quam.
m, eric inter holce cerminosl L m ee m. Ouod lia fuerie vel
aequalis vel minor quam m, quandoquideim d l X3 -p m M X X
majus est quam pt; erie lmx x - fm mx x majus quam pr; ideo-
que xx majus quar
Ouare quaelibet duarum radicum aequationis propolicx majon
erit quam minor duorum terminorum m & V Im. F mmd aEMi-
nor quain l. J.. M.
By