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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 29r, page id 00068194:0057
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=57
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 114 lines, status machine
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ina potimus aX, T8 fae + 4gf a e - 4 fa
a199 d evr 4gsagers
+ Ssa c 49f a+ 429
posrimus ast  ce +dV+ fa  a8 ge + hvla acp me + nv + ar.
in e cB h H L B 0. _n 2 d. arr 2fa.
erit acte d0 + fa a8 9e. a _B  2dv + 2fa.
a 1 dv + fac quod absurdum est ita enim ipsa co farer constans. Non ergo sic licet:
H a
2dv tisaN2
adrisgefisa juus
aF 2dB
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79C +4osa eq p
omnia pagna praecedenti huc reducta erant:  ga
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aajus
ba
loco
revicentur ad
unum denom
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ag
ext
o
aecde rpsm
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pone q Loqu. 960 t  fiet baquaq Jγco  95f + 95  bay - viica - 22y5 + gea
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eet vaequ n+ l. et habebinus adqu. Baq aego qe + qf + Bah + dal f et - el e - fh- fl
fiant, aq + baqu aequ. 45 + 8 a l - fl.  et rege 4 fiat: haqu’ete est faciam
set:
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litatur compendii ergo a24. + D aq aequ. m et fiet:
mZC n9 C Z aqu C e+ dv +f
d ex rationali ie
42 + Bay: - t Z - a4 aequ. 0.
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quadretur atque auferatur, summa con da aqu e th VAghev+ 2gkC + 2 +
c cg reluis cum aequal
5 yqe aequa fat  Z equ ede et vaequ dB, fier
non lipe quinog pontus
 aequ.d seu unde ut extrahi possit rader
Daque
ide + ida, du - 290.D a d iqu equ 
vo
in
ex = 12qua d
EiY spserbatur Z squ. EB F B. + r. et 5 aequ. f e + 90+ h. fer
l  + qd v  2te - dgv ∞ ege V 4h0 _C = hd V = hr aq. a
eochie
en
le + b + p enda in3C = y  + B du fect: aequatio comparenda priori quod fieri
 potest et Eabebimus + lBCt t aequationem lc + aV + p. inventis l.n p. iter alis
literis, inde proe erpta aestitacemus vatoree, es et ZV ope aequationum puraru quas
habemus. et res ouni facile absoluta habebitur
duos pront 
mnetiplicaventu
Unetisque aliis modis in pte e
Cantum utile erpt. hujusmodi comparationes jam generaliter fuisse institutu
ne opus sit culculo
Aliter :(7
(2)   v
ae . (+ 1+  ponatur aqu
aequ. aq ayy
(3)
aa ergo fier aa aequ. ∞v
atore
e
sag  yd saq = yNa
niae
Vaque + y2
aquo
a+
2Sia 4,-a
 saqe + yt
in tres
+ 2V 1-a. Unda habetur valor
olanium Pe
q Verror. in aequ (4
Gy
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radix, si quadraticae fiet  q
valorem ex aequ. q
fue
( p
aqui
a Vum
v
raqe +yta
ad
+ S1+a et pro y substa tuendo
habebitur in aequ. s.  ipsa Z rationaliter per v.
dneresse est a esse quantitatem aiffirmativam et minorem quam 1.
sin minus poterent quaedam mutari, ut res tamen succedat
loco aequ. 1. quaeramus valorem eique y7. fiet: 27a4 - x ag7yy equ
I2 igu at + aq- ay
ygraego la 24ayy E byy aequb2za4 aq ubi etiam varium potest
in mo resoloendi in ter mads dud a 22 X 1 ae aer d + C
na
Nivelli poterit in
prius arbitrarie 
io
compositam
lion
da
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