# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/41807/text
# Catalogue record: 41807 — [Aufz. zur Dyadik]
# Incipit: à 10000 subtrahatur numerus 1abc,
# Date: 1679
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=41807&katnr=39130
# Work: https://leibnizlegible.com/work/00068253
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 3 (shelfmark LH35, 3 B 3)
# Folios: Bl. 14–15 (from the shelfmark LH 35, 3 B 3 Bl. 14-15): 4 pages, canvases 27–30, page ids 00068253:0027 to 00068253:0030
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068253&page=27
# Lines: 191 recognised on 3 of 4 pages, mean confidence 0.72
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 14r — 00068253:0027
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000027.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 186 lines, status machine
a 10000subtrahatur numerus labe a residuo duplo rursus rabe, a residur duplo
rursus iab, et ita porro, donec prior residuus redeat
+1900-
193
1000
C1 mE
voto et
18 00 vfol 1 1 1 p a 60 d fe1 100 100
d.
a - 0. 1. 1. 1 ete
1oFI
sit 6 sta
nu
2
+0001
i
101
-00000
10e +b
12b
+ 0000000000
= 00000
3000000
et ita porro
1000
1000
1000000
120ouq
10
stabut sic + 1000000910000
1 a bc de000
4B
10100 1
11
1b at 1001 9
166
00i
ht 100
11011
T10 11
+ 00000
1 a b cde
i a bcd e00
abcded
v0
et 100a +3 id
1+a, 1+ a +b, 1+ a +b +C, iratbterd
et prodibit
A 4 00001 = a
ila
0000001001
-- 12
000, 1000000000.011
00.00000-00001V. 10001 =+ 
9 100000- 600VV -000000.00111. 1 0011 = - b
+ 0000.
ubi notandum quod hac via non facile appareret quod ex his
+04000000.
00c
eM
summanda prodit esse periodicum.
niri ut
10 1000c 8
fit L
1010001
1021
1010001 141 102
111 10011
 -
+ 3
18
1043
St2
10 2 1
1042 10 -2
165-1
1022
10 +4 1815
18 2 18- 4
e
ec
1oc
1o
 105
+ ise
+ 10
100
100
2. 1
s
+ 2. 16
10
+ 281
se
cr
etc
cxoc
ila res redit ad summas n unitatum, quadraloum, biquadratorum et
241
Ergo- B  seu
1823 18-3
e
 2o51  Y c t sict 319 tet F 2 +  
asrgso
Ob 1o ettororronorio fit
u t = +  1 25 + 19 +  etc =
+ = +
12
 1 + 4, + 0 + p et  1. 2
e0 +0110,0
cex
0
notandum ha summas charactorum regri
etc
+ b et
10
sit b- 3 vel 11 fi et e - 4 fiet 10 = 18 = 10000
10
900t
+ ve
16 2 113 considerandum et hoc modo summam harmonicorum posse utcunque
101001
+
e
1
+ 4
1-4
1000f0r
16600+00(D1.016 3
i ec 1. t + 4
 is 4 + eu
Hor+ ibv4
22-1
-1
E
X-1
82+ 1 - 2
. 2 + bi  si
XxxILI.
011OOHDONOONO
00110011D
∞1106 1100 11001100
onnnmnu
Ax 00 +00O. 50000001100110 = 6=5
vec
15
01181 100 100110
+ + eu +
 -  8 = 5
Nessb - 1. D + 1
1- = 4 1 - =4 2-1 37 -1
FXXA. Hinc sidaretur quantitas periodi, daretur et numerus 11II1 ecc. divisibilis
y
a 2 2
tururi
(11 l
Ex 9t y. 9.1 + Y. gel. 92 ex L 21. et 4= 1 4 +3  +  41v. 293 eu)
per numerum datum et vicissim
. 2
1. 2. 3
2.3.4.
1. a bcde
00
 a bc
laued e
abede
+2. 64
+2. 719
1ad
le
tred
+1d0 0d 40gp
albl
a
ab
a +b
+ bb = b
10
ius
10
18(512
1.2 1.2
i  D. 12
tut in
 a. - 2
X. 2

## Folio 14v — 00068253:0028
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000028.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 4 lines, status machine
1eoi
ni
FRIED WILHELM LEIBNIZ BIE
DERSACHSISCHE LANDESBIBLIOTHEK

## Folio 15r — 00068253:0029
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 1 line, status machine
2dosist

## Folio 15v — 00068253:0030
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14r); this page is its left half.
# No recognised text on this page (recognized).