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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2
# Folio 32r, page id 00068215:0063
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 31v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068215&page=63
# Source image: https://digitale-sammlungen.gwlb.de/content/00068215/jpgs/default/00000063.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 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.
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# After the first blank line: the recognised lines in reading order, one per line.

Quomiam  Atdat sgat
Datur s X + y. r b.
datur SX + SyBd Datur et Xy p, C.
quaentur (0 X + 10V. Multiplicetur per X + y. fict.
( X+ + 1B y + fX y + 1O Xy
sive (D x  19 y + sB Xy qut
19Y
() 10 X + 10 y + 4 s9 Xhy + O Xy3 + 6s0 X y p 1BX + 1V
 0x + b 0 ,  +  3 10 + s0 y + 61.
sic s X + sD V B s∞ .b + eN (y 01c
31C
Et facindo sBK sO Y e Z fer:
Sine 2+
e 3a Z +6 1 aeg
+313) a4.
addendo atrobi sive
X 4 et
2 ( + t Z 4610C
319C1
fietue   Fal + s0 aq
qu
4
ge
3 1 2e +610ag
ius  ponendo +0)X + 15 y pZ fiet:
2. (24. + e+
+ 3 13 a 1  a C + 2a s) a c
9
nel Z9. r 1 + 350+ Z + b p BIBLIOTHRBI
sive 73 = 3 16 a9 Z
= 1ab 70
cujus eadem quae Cardanicae determinatio est.
e 1
RLCIX
NIARNOVENANA,
ne por
ma
P d + c + 310 de 21 d p 3 al 4 3 10) de Yd
nd 1d et
18d + s0C H  3al + 310d’e + s se de
d = (0 C = 1 de in 19d + 10e facit d + C p
ergo
10 d + 10C  - 13 de s b
1(2)d + 1)C
sive (0 d + sDC +C se)dd 1 b =  3 10 de
sie
+
1) 1 de 1(5d + VDC
19 d + 10C  10d + 1BCp d +C 4 de + se de
0C
ita si ascribas 31B) C 2 13 Xy
= N 3(BC21OCN
sive. destruetur 6 (5)c
et daisis omnibus
vocando
fiet: 24
F 197 B Z
(bZ + 3. (3)c