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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 7r, page id 00068022:0013
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068022&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/00068022/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 124 lines, status machine
# Lines: 124 recognised, mean confidence 0.73
# 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.

nempe. = a y, (= by (Cy) ( d) an Cy + fγ +gy +h
a y ( bX+ cx (+ d) in Sey +fg +gy +h
. 3dyB + ib BY + CB
. 3a B2y +b3a
a (33
3eyβ fef By +9
3ey 3r +f S
sd rudice carvntem: Hinc statim patet, universaliter verum esse dfiguris heometricis
quod termini  inquibus β excedit assurgit ad quadratum A ultra rejici
possint, nam si dicas fieri posse, ud servari debeant B, quia ves
B simplices evanelcant; respondeo lune a. b. c. fore, quodlibet
+10. ergo et B et (33 evanescere. Quid in Priebus
autem Arithmeticis servari deben: Nuc ut per partes eamus
Plunc ordinata aequatre f est ut tolli possint radices, sed
antequam hoc faciamus, fingamus simplicioris calculicas causa, primum
a. b.  esse nihil, fiet: pu + et
n’e ye n fy) f ngy  n h) +n ex
n23CyB
+2nfy trugy enh
+n 2fCy + WgB
ne reyB +nf BV
n. C(3
+2feβy
subscrisen denox upsem
et vo
3fe V TB
tert
3fey3B
Fep)
e
9f
(9r2
v
= 2, 2(. BC
+ 1cl
Cheie ritfer
3h erhsB
aee  e3
eneg
2 n’ eg V
Rn’egyC
(a nteg yC
4nt eg V.
Ergo quadrando prius aequationis latus, fier:
92
18 ente y6
62nt v (3
one v Bt
6nte2
12n ef y B
4nte
(8nt ef V1B
Centefy32
12ntefy 
4 ntef 
4n ef yB
ae
+8nCG
+4neq Z 
4
In c9
curda
aran
B0 NcgV
2 n eg
onenv
6n efyβ
n’ef. (3
6n’ ef y (
=4nZveV
-6n Z cyβ2
18n (CeyZC
H2n)CCy
+12n C C YZ
4n’ceB
XV
6n’ec y
-6nec y
+8nfVB
+n7
-qufy
4n72
an (y28n fcyZ
8 ut fgyB
4nf9yB
4n fgy92
2n fg
(8nth V
eft yB
Anth B
adrationem
dn fcy
quscz B
E5y
n’efyβ3
ns 
glueralis serierum, 3 si
omnia per B multiptieata destruantur, oigulam
-6n’ que ys
1X nt ehy
1 entehyB
L
Inea
+qu
An hc
=4n
4nf
7
nF2+
4nefGy β3
Unde
Et habem Tabula
evanescere
irrationatis
quadrabitium, quae variant, pro varia explecave
cognitarum
plagula parte creviasmatis radus
seu Fig Termini.
pro figurs Gednetriae excerpti sequent
quarta continebuntur. omittendi et
in quibus) ascendit  quadratum.
relimendi cermini Z
(. 2B. M caeterxomnibus resestu
pars 1Vta