# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068035:0012
# Permalink to this reading: https://leibnizlegible.com/page/00068035:0012?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 17
# Folio 6v, page id 00068035:0012
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068035&page=12
# Source image: https://digitale-sammlungen.gwlb.de/content/00068035/jpgs/default/00000012.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.77
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

a- b ab
e
5+ 3Cd + 3cd = d  1a + 2lab + 1V
C+ d (4)
1. 0-
arb 1
l a + 1D
C2 + 2Cd+ 3
8 2la 15) d. Ergo c+ d6) d
3e2 1
C+ 5d
Ergo c+d (e
a+ h, (I
a +b I b Ergo E H E
e
 cpla  3ed fplab
24, 3C+ 3c df 2 la relab
21 a(5. (7) l a + lb ex 4
3c H
(11)
Si aequationis, 4. Cermini in se invirem ducantur, fiet CD
(+dS
1
C27 2+d2
+0.  Ergo L
C+
(12
10
D seu 1 (15)
. per 14 et 10. Egu l a f C+ Cd
feret et c la et rcd F Ib. fui d0
si frissi C + 2 cd + d  la +b.
sed procedendo eodem modo: C+ d ( 1. ex 2 et 3 tier 26 + 260 p, p2 a + 1b. ergo eto (.1
a +l
c+
(
a+b A 2C
jam ex 3 est  E 8 ergo per 6 Ad 13) d ergo Ca. si aquationes 4. termini
b
in se invicem ducantur, fiet ODfi.
Etd
a+b 1 B
1
Ergo  (.9O2, at per y O s 2 ergo dt ante opo.
aemeroli ergo calculo inverta demonstratio impo prabilitatis quandocurque exponentes. potestatum
LEfferunt unitato tantum. Investigandum et in pliis casibus. Et quidem scimus impossibilitatem
cum sibi propimitermini, quaeramus e cum sita a e invirem maxime, remoti, pertinent ista
aad artem tentamentorum sit ergo C2+ 3Cd + 3cd + d p l4+ (b. cpsta
et 3c4 126
c3 +3C8 pus l a + P b seu 3C3+ 3Cd(2la + F b
2.-.
c3 2d 2tab e
et c+3d a+ b
2...
3C d H qu
3c0
5+ H b
3cd2 + d3 p 0. Ergo Cp  . ergo   3a ergo
vel a vel b negativa quod est absndum. sed si esset
d B 2. et  6cd + 4cd3 + 4+, fit: 6c+ 4cd + d2 7 0. ergo
4c + 4cd +d 2c. aequatio absolute impossibilis. Sed hoc credo particulore. Supra
C  ex 3Cd4d310. sequitur C+d - 2c. ex 6C2+4cd + d 0. sequitur: 
 quad C+ d  = 5 C - 3 cd. at quad C+d  (5a + 13 b - 3 E. 3Cd
ergo Pa+ 1 ( + 4C3d + 6Cd + 4cd +d  Va + Bb. quad e+d .
sive: 4c3d +6Cd = 4cd + d  + 13b. et 4C+6Cd +4cd +d
rursus  6Cd + 4 cd + d Ergo C + 3Cd + 3cd + d
et  a
1138 - 3c - 3Cd-8
et 4ZC A br E ergo E3B vb Ergo a  vb
 et   VC a a b
 b, b. a
c, a-c
bia
a. sit a. a- b
ad
bC AZ