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# Piece: https://leibnizlegible.com/api/records/29199/text
# Catalogue record: 29199 — [Wien?]: Mathematische Aufzeichnungen
# Incipit: Sint a, b, c, etc notae dyadicae qvae valent 0 vel 1
# Date: 1714
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=29199&katnr=56056
# Work: https://leibnizlegible.com/work/DE-611-HS-861255
# Title: LBr. 705 · Overbeck
# Folios: Bl. 84 (from the shelfmark LBr 705 Bl. 84): 2 pages, canvases 167–168, page ids DE-611-HS-861255:0167 to DE-611-HS-861255:0168
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=167
# Lines: 54 recognised on 2 of 2 pages, mean confidence 0.76
# 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.
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# 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 84r — DE-611-HS-861255:0167
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000167.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
sint a, b, c, etc. notae dyadicae quae valent 0 vel 1
a + b = dif (a; b) + 2 ab, seu a + b - 2 ab + 2ab = B+ A
a1b+C =  nab + diff (a; b) + C = 2ab + rc dist (aib) + di (diff (2 ibosiC) -rabri s ert 1 2 lis ent d)
atbtc = 2 ab. + dif (a, b) f. C = 2ab + 2 diff(a; b) C + diff(diss(a; b); C) = 4 abc difs (at) + 2 difs (ab; difi (, b) C) dif lli fs (a, 6); C) = + 2A B, dis (. 
A2B+ A+C =  di(A, C) +B + L.HB; C) =
dis 4 ABC + 2 diff (B; AC) + diff (A5C
liff (aib = a +b- 2 ab diff (diff (a;b); c = diff (atb rab; C) - a +ub ab pab + 4ab - 2uc- 2bct
itaque diff (diff (a; b) ;c)) = diff (diffai C); b) = diff (diff(b; c); a) = a - 2ab + 4 abc
iff (ab; diff (a, b)C) = ab + ac + b - 2 ab c - 2 ab - 2abc +8 abc = ab - nabe. Ergo diff(ab; dis (aib) c-
Ergo diff(ab; dif (asib) C) = diff(ac; diff (a, 1) b = diff (bc; diff (b; c) a)
BE
abc diffl;b) = abc, a + b - 2ab = abc + abC - 2abC = 0 Terminus enim tertius est, B, quia 3 = ist 1
cum tamen et 1t1 sit a+ bte summia
 Ergo a+ b+C = 2 diff (ab; diff (a; b) C) + diff (diff (a; b) C) =
a+b + C+d = 2 diff (ab; diff Ca; b) C) + 2 dis (diff (a; b) ; C) d + dif (difs (di  1b : c); d)
a+b + Ctd = + 4 diu (abi di s (ai b) C) de ffi dis (a, bli C)d TE disf (duf ab, lis (a ) e)i biff ei  (a  , ait (dis dif (a, b); c) d
AA a+b = diff (a 1b) + AB ab =
18 + 12 = diff. (11; 12) + 2. 1. 12 = 20 +2. 22
diff(13, 21) +,
11 + 12+13 = est 13+ 21 +2. 22 = tiff. (13; 21) +2. 13. 21 + 2. 22 = (2 diff(13. 21; 22) + 4. 1. 21. 22 f-2abl
habe
sed 13,. 21. 22 =0 quia 1 1+ 1 + 1 = H, adeoque 11+ 12+ 13 non ascepo it ultra 12., + dabe
putem tamen calculi causa non negrendiu tem st. B3. D. 
3diff (13; 21) + 2diff(13. 21322) = 31 +  2. 32 = d (13; a (11, 12)) + 2. L13 d (.A. 12); 112)
SIx 27 = 1. 4+2. 4273(4)
I1. + 12 +13+14 = 14+31 +2. 32 (= (14; 31 + 2 d (14. 31 , 32) +4. 14. 31. 328
et vel 11+ 12+ 13+14 = 1I + 2. 42 + 4. 43 = d (14; d (13, 21)) + 2 d (14ud (13721); et (1321, 22) + 4. 14 d (13, 21) d (7. 213 22)
val denique 11+ 12 +13+14 = 1. 41 +2. 42 + 4. 43 = d (143 d (13; d (A; 11)) +2. d (14. d (13; d (12, 18)); d (13. et (12, 19); 12. 11) 3, T. 14 A (13d (12, 1) (e ( 2, 1) B 1i d
1d 14; d13; di2; ii +2 d14. d 13; d 12; u; d 13. dir, n; 12. 11 74 14 A 13, d 12. u de3du, n2, 11 2
EI d ui 31 = l13; 21
41 = d 14, 31
I
d1: 1t
22 = 11. 12 32 =
FH2
1L1I
13. 21. 22
diia d13. 2I;X
a1+; 31 d1I, 32
14abc+C
absra
2al
c
t
bi b ent
abe nabe
te+
be
tubr
ubtanb
odc iqub
b
abc

## Folio 84v — DE-611-HS-861255:0168
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000168.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 1 line, status machine
one roolie cavoesa