# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0236
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0236?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 118v, page id 00068194:0236
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=236
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000236.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 117 lines, status machine
# Lines: 117 recognised, mean confidence 0.82
# 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.

bc. + bd
Hypoth.
e
Demonstrat.
B2c = = ca d c. hus
b + d -
bt d
bb. + 2bd + dd -
bbb 1 5bbd + bdd-
X
4b +qd
26b. + 4bd + 2dd = - 8c
bbb. + 3bb d + 3bdl. + dad - = BcCC
brc =- c~ d
Fc. t d
b + d = = 2c +
02
bb + 2b d. F dd = - +cc
d3
Vel sec
bbb. + 3bb d. + 3bdd. + ddd = = 8cCc
= 1266, X 6b, X 6d, 12 dd X
12bbb- + 12 bb d = - 2 4bbc
6bbb + 12bb d + 6bdd = 2 4bcc
66bd + 12bdd + bddd = 2 qccd
2ddd. + 12 bdd = - 2 4 cdd- ut prius.
X 2, X 48bd
26bb. = 6bbd + 6bd d. + 2 d dd = 16ccc
48bb d + 48bdd = - 96bcd. ut
c. &c.
prius
bd
Hypoth.
Haec propo. eadem ele cum
Prima.
1
Sed alit et
favi
asera
a
Demonstrat. Synth.
c
1. 0. -- bb + 2bd. 1 dd =- cc
5DC.
5
X
X 8
7
8
bbb + 3b6d + 3bdd + ddd -
-
8
9...- 4b 1 4 d = 8c
6 X 8 10.. 2bb- + 4bd. + 2 dd = - 8cc
 8
cCC
11 bbb. + 3bbd. + 3bdd. + ddd = = Bccc
X 12.- . . . . - - 3bb
13 - -
X14
- 12. bbb + 12bb d = - 2 4 bbc
- - 3b
30 + 14 15.- - - - 6bbb- + 12bb d + 6bdd -  2 4bcc
3L 16
-- - - - --
- - 3d
10. X 16 17- - - 6bb d. + 12 bd d. + 6ddd = - 2 4ccd
X 18
. - - - 3dd
8 X 18 19.. .- 1 2bdd- + 12 ddd -- 2 4c dd
13 + 15 20 18bbb- + 30bbd
+ 30bdd. + 18ddd
24bbc- + 2 qbcc
+ 24ccd + 24 cdd
+ (21- - - - . - - - 24bbd + 2 4bd d
22 18bbb- + 54bbd
23
= - 24bbc + 2 4bbd
+54bdd. + 18ddd
--- 2
+ 2 4ccd + 2 4bdd
+ 24bcc + 24 cdd
24 2bbb + 6bb d + 6bdd. + 2 ddd = - I6ccC
25--. . . - - - - 12 bd
26...-- 48bbd + 4 8bdd = - 96bcd
27 2bbb + 54 bbd
+ 54bdd + 2 ddd = = 16CCc + 96bcd
28..
- - - 16bbb- + 16ddd
29 18bbb. + 54 bbd = 16bbb + 16cCC
+ 54bdd. + 18ddd
+ 16ddd. F 96bc d
3024 bbc + 2 4 bbd. + 24 bcc
31
+24 ccd + 24bdd -
+ 24cdd
32 3bbc + 3bbd + 3bcc
16bbb- F 16cCC
+ 16ddd + 96bcd
+3ccd. + 3bdd. + 3cdd = = 2bbb. + 2cCC
+ 2 ddd + 12bcd
33.- - - 6bbc + 6bcc. + 6bbd + 6bdd
+6ccd. + 6cdd
9 X 12
+17 + 19
20 + 21
X
II- X 23
dX 25
24+26
2
30- = 31
34
post
5
2
12