# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/25032/text
# Catalogue record: 25032 — [Aufz. zur Dyadik]
# Incipit: In dyadicis [Formel] mihi significat notam qvae ex notis a et b in unu
# Date: 1701-06
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=25032&katnr=39201
# Work: https://leibnizlegible.com/work/00068255
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folios: Bl. 87 (from the shelfmark LH 35, 3 B 5 Bl. 87): 2 pages, canvases 173–174, page ids 00068255:0173 to 00068255:0174
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=173
# Lines: 266 recognised on 2 of 2 pages, mean confidence 0.68
# 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 87r — 00068255:0173
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000173.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 173 lines, status machine
e
in Dyadicis a+b ∞ atb  2ab est autem a-
in dyadicis a +b mini significat notam quae ex notis a et b
in unum additis in eadem columna prodit. ex. gr. si a sit 0 et
b sit 0, erit a +b =0 si a sit 0 et b sit, vel contra erit a + b = 1
si a sit + et b sit 1 erit a + b = 0, nam a + b est 10, ubi 1.
transfertur in columnam sequentem
Him arb = arb 2a
Hinc a + b = atb + 2ab. nam si a vel b est o, erit rab =0, sin
Utrumque sit. 1 erit 2 ab = 2
C b a
e
-2b
 ab
pra
a perabm
+ bra cb a
ue n
a sit a = ob 6 i omim
sit a = 1aD et b = BOV
b = 10212
C = 10+14
m = B OeI
n = 80414
10+0 os
120
0t0
0+0
0+ 1
140
140
070
040
0+D
04 1
((01) 460) 4)4 1+
4I
0
L
i itaque atleut per sel (01) 1610)1) 1
quat
ad.
Pm l
b
aub=Ha
ab
a+b
0750
2+ 0510110) -1. l
+ 1 8
Si comnbines a+, et b +M, debel fieri)
lit
 Sinati conbines lum etn
18
0+1
+ 1
+a
ut
1040
aa +bb
ph2 = 40+ 1 - 1 b+ m = 0550 = 0+0 = 8 + BInor
a + l = 8 C
o
an dobelfieri ant=
arl=
Hinc si sit
a+b = a+b- 2ab
a+ b-
ojo
C
cum b+m (∞1) 2 (10)2)
t
071
0a1 gr
0+0
040
o+e
cum etn, (e1 X (10) 4) 4
+0
14
141
141
pua
ro cotrio
1+v
ilia
1t1 10 fonguno
ll+1. 101
generulter (01p (10) 22) 2C) b+ n si combines cum d Ap fid (0213) + (12039 4
b a
m l
∞5
ei2
QF
C
vF Cum etn, ((02124 6202)2)
 cum dip (0212ciog
E
doctu d
o
e
erc
2q
t
+LX
e s c
al -- 
7. 7
E OrC2.
0
et
1F
= 
Z ∞
X  
qic. E
P
dut d + 6
 
t L=   D
DE
Ex
ut
e
s
e
  x 
e C Li
2e 
 ∞
Ce a F
se
16
12
ab 4
1a
.2a
Euso siq addem p
C
 
 
e
 
e F
 a
8
et
C
22
d d
it cum ctn
fiet
btm si combines oppo
od
1(21d oi
Ili
1 b1
b15
soeni
1 bis ((o21214 (1201) 4)2
6it d
bis
b.
itaque bem erit per se ((o212) 2 (1202)2) . at 4
e L
e
E
e
15
8
e
E
- X. l7 8

## Folio 87v — 00068255:0174
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000174.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine
A = 0101 e ec ∞+ ∞c l= 0101
b = 0011
m= 0011
a +l = 010 10100101 1010 ilaordinando fit ut
brm oon voii 1100 n0e casus in a et l
empecum hesto in a est o vel t Hin a+ l+brm3( 0101 101001011010
et  0011 00II 110010O)
FII + 12X + 21X + 22 X+ 24 X 10000 0000110111-
11
tdete
+ =Y
+ 1IX
212X = ∞1X)
+ 11H1= + upX
1
1
12X + 13X + 14X 1SX + 14X
14C
aut col2 tam
b = 001100 H00n alse ent 1Wv H 5C
d = 00000000111nii
Nvcol. -eet
respyndeant in bet m
casitus
1I + 12X + 2IX +22X +24 X
a= 01 0101 01010106, aliter = 1ot ere
C = 00DD 11 11 0000,H aliter  
C3
(2. 11) = 12 X
LI
2. 11 12X
vol eetm
casu
quocoso a est oirsed a et b consentiunt nisi in tie 1mo, 1ata
3
e
a
alios opponuntur, siu in dus extremis utru
si t a+ et c lisus cum em
consentiunt, i medus
est
bet C vet m et n consentiunt in foil, 1 et 2, 3monte.
alius opporuatur
12
4 + (3 2. 1)X
aIt
1
e
ve
itaque generaliter
duae sedes vicinae.
oletant in mevicas
e Nopponuntur in
me
dimidi
Amedictate rediba
locaruntiunt
+ 12X + 13X + 14
2. HIX (= 12
4. 11
= 12X 12. IIX
e
quacadq 
ins
in medrum
consentiun
) in extremis
Ex
a et C consentiunt . 13. 12 in sedlocis
coparaido a et C p divide numem
ad loci per 4s. resdu et quotiens est par
e vilidi partas dissensum par
ensu impur esensam. Si quolicus sit
comperanto
comparado Bef  livide nuntim lociper B a
imparfit cntia
quodeus est par retictus dirisus per Depoote separi
dera
dait icum consentiunt ex se
tra in relictis 12, 5,6, dessentiunt inrelius
sin quotirns sit impar contru Aac
vlus: si habeatur
29, vel 44, vel ea pete tunc enmm
es
ila sciemus
proseqiamur
debet eddi ad brrle, vel d et
sis multiptratione datb= a+b +2a
07
X 12
+ 11
b. a
M