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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 127v, page id 00068201:0254
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 126r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=254
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.72
# 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.

X e
F. 0 = + 1
a 1( = + s=  2y +2(0. = +  + 4
2 7 2+ S... + 3
ar  S02 + s= + 4 + = 10= - s  al  B
er + eq + P + VC s
S 0
an   rs. , 1d19 9. -r 4 e
+9 -9
ph X j at 13 2 + 12
X n r. 4g 10
+a l e
18 = + 1= + 4  0
4-ah 10 =-  4
sive - r - l p = ah 10 = 1
et cubando: - r - 3r l _. 3r V - P 
= n2 - 2h 9 - 3 hq. - 93
si sint duae irrationales hmymodi 1B e Z Bde quadntum unius in alterum facit cubum.
nani e 0 de p 4.
17. e
Esto ergo 19X B +9 1  + qu0 de.
erit X  + de +3C + 3e 
de p
ex  + e ra epsed + s0 ac
et fiei: p 10 + q Y de H 4
ed
et C + de + 3C + 3C 
hes quoirrationales, ita ut factum
duobus quibus libe
su quolibet sit numerus:
13)  13 de se  a
restat nnvissima aequatio srigera
+Spefrg po. huic aequationi componatur altera:
+fdva KgCv- pagva +pae fra et fier:
2f dua + ar +6p F9- paegva + pafva 0
cui rursus addatur = 2fdv a - ga  = 2p a 9 v. pet
ar +6y. f 9 -3 pasgr + parf Va - qu- 2p a 9
El = 10 de + 10 = + s ae
 - 10 e
PN L.- l 4 3e ade , de vde; X + 1  4 + 3C +e 4 1= b
H. I () X _ dc:
xr side s0v’e
+4g fde ...
35BC
punae
2pa fyde...
3 1B c
+3 10 C
+ Y 1950 de
+a53 dc. . . +65 gae
+920...
31t9 de. . .
Acuro fg f9de 1 a Y a7)
f7 =. 49de - 9ta - g de - gad
2’e
4 b0
sive - 15 ge de (- 3 9a7. sive 9 de . = ga
item f atr aar Tar. 9de - qa ubi pro g de sustituendo
grareh. H Al
ejus valorem inventum
eoanescuut artitrarie
 9a + f de + 49de 3 de pagder 49a +45 de +9de +3pf dea 70. et unam aequationem ab altera
q2
subtrahendo fiet: - 3f2d6 +39 de 4 3p a ode = 3p a de. e dividendo per de fiet; - 3f d +39C c3pa  - 3 paf. Ergo ep Bpa f - p pa 9 +5 d
tam in aq  ponendo de B e vi fier _ C F  sa- fErd= qus Pa S (C pa  f3d tiet 25)dv + pa g r  t -ga Pd
97) 0
aie ori 19 3  o
X + pX + agX + ar
+PX +aqX FaYX
in... + mp. . + m aq + +ma
ea
0  + X 16 de