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# Title: LBr. 705 · Overbeck
# Folio 99r, page id DE-611-HS-861255:0197
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=197
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000197.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine
# Lines: 90 recognised, mean confidence 0.70
# 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.

o
d
+
H
le
0- e
3 00006G400
- 0000∞ = ∞100
2d300
3000906∞=
= (0000016C
in (030∞∞~ = ∞∞∞88
40l neord
5,0- 3~ 0 - 0 --
5)0∞∞∞ 3032∞
3+
dd
pro potentias Nunerorum dyadice expressorum opus foret addere in unum
recterguba, chiretrire biniones, teluibnes, quaterniones notarum arto quodam ordine sibi
resuudeatium, ut si nota Numnns sit etc f e d eba, est a nota cujus periodus 0t, et b nota
Cujus pertodus 00II, et C, cujus periodos est 04.14. Hinc primum investigemus ab, ac, 1 bc, bd, etc
deinde talium summas
ab = habet periodmy 63 01
C
P Ja, ol 1
2) b, 0212
a
ab, 0201
Ed, 08c14
de, 01bo8is
ac, 0+(0)2 bc, 04C212
ad, 08(e) 4 6d, 08(d212)2
5(5,032132 af, 132(01) 16 bf, 032 (0212)8 Cf, 032 (0414)4 ef, 032 (cB18 2 lf 5 27)
816) 4 e, 01SII, ae, 01901) 8 be, 01S(O212)a CC, 01b 0414) 2
O4) 2X C, 0414
9(OB  d, C818
f-c- 2
Hinc generaliter per si sit quaeratur ef, et es sub C intelligatur 3 et sub f, 5, fiet ef, 0 0 12) 
Habemus ergo expressionem binionum generalem, jam tentanda est earum summatio
Si muttiplicetur
prodit
si motiptiretur a b c d c.
per
3
a bcde5
a b de 5 vel a  Z
a. 2 ab ac abme rut tus
prodibit a habeae rod rac 2as
b 2tc 2b 
e
a it d ibe suendo
res
et
ide 1d5 ret 8
ita
2 b. sel
Vel
ac = 04(81)2 ad + bc = 08(0i) 4 + 049212)1 =
 ad-
De
e ab = 0201
a = 0
b + ab = 0011
000
00M
a
ea
  x g X h X
a X b X C X d X C, X; sit al GM pn
ab a ad ae at ax at
bc bd b
10000000dio020
0000011 00000011
06)110
2
ef 69 on ch
 
et eb
od ce e
f d du d; dk 2
ef E
en et et
td g
0
de
1
000000
00000011
000011
000011000101dd