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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 116v, page id 00068201:0232
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 115r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=232
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine
# Lines: 92 recognised, mean confidence 0.70
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

na
Ergo u cubndo erit
+5(6) a +  13 3 + u
f sive
+n Y uX. Eet
ae ni pNa nrat recpe
a tX
cosen in de
Habebimus aquatieres colladitiaes duds
unam: + ega er (Y) ag, susi A A t() 2. et
Conferatur heac aequatio cumidata cense conferoturt hoec aequatio
cum dada cujus radicespe
Sit jam equatio datax
arbitrariam b sina
I eo Ast H E  14) sV n r.
X 1. ( H ia V   () na
Ergo LX  fria e aX SB f)ia
fa Xe S0 bne  b
 se  a d q
X a+SO6
sa XG tx inferendo. en 4
Idem qui aute prodluit calculus ianversu
mutadi possit. R aequationis cujustibe radics per Xe S CNst
Unerio yt  t  
i s nelationemin de triduore, ut o 
di modo corjuncta aequabatiant quesitae y
uie aequatone per (7D  ( X(CL) t p cndem al  B( EA3
et g Ab 
ue  in on son
et atu dnoisoa ua
so Etrio assumda est, quemdidom
trec
at, e   H. ec
sone ma
divita fieteXaX si   ang. au 
ads corga vulares quantica ax supersstorert. 1 ex imttime vatoriaeA f. 
ipsi astiX uscripte factam, ex hunc ex tata aequatione.
natum, inter se aequando, fiet C
a Fon so nn  A
H+3n X (+) f 3n se 4  cu esie pro X. punenda e vuloreus
YHn L  4 en ( 4n, (Y) f3ur s et) 3
et destructis atlique ubique + 3Xx, duro X3B2s ut Aur s 
fiet ut fn A () 4 nr s( +B. quae aequaio
cum per n diviti de depri possit, vasse plana est.
Sed tamen peccatum nonnibil vet aleot quod quecum sais signis
relicta in radat quadratica, quod suffat ad doterminate
simplicius ita resumem:
sit X 1 sOnu 4 1otna.
EX et na qu3 tOna K3 rne
e
pulae X se- ba a
haaesct BcaX
in qua signi termini dexime rationem nullam habeo, cum pro lubita aer
quamlibet quantitrem italicnre possumu. asi
bren operae pretium erit per qantitatem
prienda u e
anvo et 
i at
5 An a = 3an X. per (9a9. 1. et 3
6)a da9) +ar
 ypaXx
erit ) a x H aq X + ay
sin ) X B bqX  b7
erit (9) LqX + b’x  ina = 3an X. per ag. 4 et D
sit (10 bgr + 3an.
+na
side (A + n 1 A b9. aut  be 10
ga
a
ic er 12 quae oyettioplumto inbils
n d  a ab 4
t uta n e gi pr 63
eritie puore y xd
omites pot , et sice:
 4 H bo
  se qu ondeni aequatio
2  o
 dsuba
in,  e u
ordinarum   ruet eh  t qudarou ro
AN tH F 1) a
 et b vac
Xis t+C
gn beX
V . ut v
Imo  bese  cX
ea at ne ous uni
un omnes ingustaus
 C  ut 
X se hon
e. unde aequationes die;
erim d.cpe, fiet re e p eote tetuitm enn