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# Piece: https://leibnizlegible.com/api/records/28632/text
# Catalogue record: 28632 — Mathemat. Aufzeichnungen
# Incipit: +a = +a
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=28632&katnr=56082
# Work: https://leibnizlegible.com/work/DE-611-HS-861255
# Title: LBr. 705 · Overbeck
# Folios: Bl. 122 (from the shelfmark LBr 705 Bl. 122): 2 pages, canvases 243–244, page ids DE-611-HS-861255:0243 to DE-611-HS-861255:0244
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=243
# Lines: 115 recognised on 2 of 2 pages, mean confidence 0.80
# 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.
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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 122r — DE-611-HS-861255:0243
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000243.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
+a = 10 + ab yt = B + abi 1 = + B + B.V = B + BC + abcB
+b - 2ab
...-.  4
+1
+ ab y
Dc.
ab
BC = ab B
pCE a = a + aby = 10 + aby +10 + aby = + 10 + aby = 1+ ab 2y + abc. 10y9
2ab
+c
+C
+10Cy te Hoc
= 210.C
3 2abc 10
1II. +y∞Y + abc 20 p7 = 12 +20, Jy +abetyu = 14 + 25y + abc. 10
+d
-2. 11d
11d
ID = a - 2ab
. = 24
+ 4d
= 2. . 20d)
+1I. 20d d 1S + 11. 20d
se
Jgys 10udecbedis
-24d - 2.   = Z. 11. 20 abed)
 E  tho
et 1I = +C = 2 aC = 24b = a - 2ab + 4abc ut ita porro
20 = 4b+10C = 2 abc 10 = ab + c(a H)- Z abc (a +b)4
ab
4abc
10. 11 = a +2ab =
H1 = A ab habe C ab - 4abc + a 2ab + 4 abC. ad = 2 abd + 4 abcd
a1s
 E. da  epos habiemus sequentibus
a. a = a +2ab a. ab =2 + 3abe a. abc = 3 abc + 4 abcd
.
ab ab = C +2 ab +6 abc ab. abc = 3 abe + 6) abcd = 10 abide
sepre non inferiora;
ita et omnia duconda per abC, per abid, etc
Poiniot veniemr  ad Eria invice ducenda, et variandum
arc a. a a, a. ab a. a. abc a. a. abcd et
a ab ab
a. ab abs a- ab abid a. ab. abida vec
a abc. ab ac abc alid uabe abcdo c. utc. abedet
etc
ab. ab ab
ab. abc abc
asal abc ab. ab abid abab. abede
ab. abc abed ab. abc. abeda usab E abed es
sn additio generalis dyadica attentanda per numeros actuales
Etc.
a -a 2 ab. y + _ abc _ y x si a + b et utrum sit 1 firet 11 =
et +_ab 2 abc
+A abc 2 abcd
+12 abed 23 abcde
Seu et
Habed
seubide
M
sie si sit a +b+ C et sit 1+ 1+ 1 = 1+ 1.b
non habetur abcy Teu est 2 =0
et 3- 2. 8+ 12 = 1 Erx 12 =4
Hac via brevcor et 3 + 21 = Ergo 21 = -2
1+ 1 + 1+ 1 = 0 + oy + 1. yy
A-28+ 4. 4 + 13 =0 12 = -4 + 26 - 4. 4 = - 8
Absoluta hoc modo additione simplicium, si per regulam generalem tombi
nationes reducantur ad simpliceam additiones, poteriaqu hoc modo reperure
canonem genectlem valoris dyadici pro quadrato cubo, et
abd
ac b
4. 3, 2
1- 2-7

## Folio 122v — DE-611-HS-861255:0244
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000244.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
quid si evilare tiptosimus additionem duadicam
fragendo in datis additionem et subtractione di
verb. gr. sit quaeritur uigu = sit, fal X = 10 41 +21∞ + et et 7 =20+24+
a
qua haec quadrata sibi ordineate susscribantur. Et pro datio
al = verb. g. _7, ponatur
tet 1t
133X +3X 13(2 + 39X - 250 ∞
a
-2
23 33H
3g
ubi quidem non est necesse ut 20
quam
neque
2
a
23b
 tummae. Inhali ductum quadaldm
et videatur an sic institur
possit coincidentiatio. Findendo alicubi
3131, 36, sunt dyadicae, sed possunt esse.
sublatis
istis 30, 31, et, etc. ipsae 10, 11, 12 C et 20, 21,22, et. debent
Ise notae dyadicae 0 vel 1. po pottuu eto
Im video sic esse procedend a ut sit IETANLRXX
7 = _
seu 799 = 22~V a sumatur _Z = 10 + 1X+ ecC
V- 20 + 21X +2 pxF eu, et 9 = 30 +3x +32xX+ etc
debet 7 vel es., + 1X + 1xp a mulliplicari per gg. prducto deinde
addetur
+Ax +qq 140X -2 0. 1
Axx - 2. 41X
Extendatur Z, V, y ad 2 notas ad tres, ad 4 ad YB
ita quaragtur Ho, X1, 42, et.
videtur hoc nonis facile
2. 1.p. 1 21011+ 10.
F12X2. H X l. II. H.
+2
22. 2X 20
2ex +2 E1. 2upr