# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/27700/text
# Catalogue record: 27700 — Leibniz mit Johann Jakob Ferguson
# Incipit: Sit 5+
# Date: 1680
# Sender: Ferguson — Addressee: Leibniz
# Akademie-Ausgabe: AA III,3 N. 055
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=27700&katnr=56792
# AA III,3: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068124
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folios: Bl. 54 (from the shelfmark LH 35, 8, 30 Bl. 54): 2 pages, canvases 107–108, page ids 00068124:0107 to 00068124:0108
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=107
# Lines: 212 recognised on 2 of 2 pages, mean confidence 0.70
# 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 54r — 00068124:0107
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000107.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 124 lines, status machine
Cubic
Dit 5+V -2 binomium aliquod cujus radix = 1+V-2, et dividatur sier 5,
r A =1 +3,1, s- 2 43, -1, ∞2)= 28-2
+5 + 1-2 6
evunet 1 +V - 2, et manifertum ertprimm quotienta radicem (ubicam fore -1 +Y. 2. vocetur ergo
25
binomium A + B et iperus recidum A - B; Jam Matet en requla fore, ane
2-2
2, 21Cle 1+2, 272-1, 2-2, 23 (2) , YX . 42, 2. 3, 2- 4, 2- 5 (pE. 6)
-
1.2
2 12,3,4
212, 3, 4, 5,6
Si tam Z denotat radicem Cubidam erit 2X, et quonjam  dit l, eit
qs
+ V1 -LL 2 ∞ 2 -
25
1+ V-
25
ex
s
2
20 14
b- =
.
243
308. 16
13090
2
6562 413343
2
282782
33480782
eo
+2
vel - 1+ su2 3) 5+ vor 2u. 
3
2-1,2, 2, 2-7 2-4, 2-5 220, 2-72. 8)
1,2.3.4,5, 6, 7. 8
+NI -V= ∞2-0222222222,6 -008230452700469440630-00316686148 -00233800391. et:
9
et reete
aa
 et. reducantur omnia ad decignalia, eritq
si
7011ICCI
3,8
dijam iudititnatu loco ipprimo bt et habebii. Cnma in flculo eba ulstitui- ve s et ieo fent spu. 2+ ts  
3
11+ V.
 
2+
0
+
V
nam b aego. = V. b aequ + 2+ 25
ba b aeqo = Z,. Et ita porro
=∞ 2 - 1777777778 -0658420216 -0270rr 2504 -0253245912-0187040312
25
 
2
1+1- 2 + p - 1 - 2 ∞ 2 - 001777777778-000052673617280000024025260256-0000000 9714692944-0000000076611717952, etc:
2
2
correcto calculo ob sigmamntant fier. +2 4 1c 12 - ... . 1 1 = 10vir 1g1... 12 4 ..  d .  ......  . .. .......
Quaeratur jam humura hujus prograrionio infinitae,
Sultrahatur
e
s
001777777778
000052673617 28.
000002903536,0256
000000129714. 64.29. 44
000000007661. 17. 11. 79. 52
001832992307. 11. 97. 23.52
200000000000,00.00.00.00
iterum error
Cur enim in = 1709y53
et non potiu in frzogg5)
1709953.
= 19816
11969631
1025971 8
1709953
nam 5+ L-2 non divisimus per 136 79624
5 sed perts.
c38957 7
1709953
.11 4. 11 1a - 1211.
Quod ducatur in e5 nempe in 1709953, et inbenietur = 3. 38856256 1 51, quod tamen circum ciaca 2 etre de
reliquum erit 198167007692.88.02.36. 48
000, 201727 multiplicetur per 45 seu per 4 1.70995 fiet +3449(053 etC. Estantem 3.449. idem quod 1+ 56.
sebu
lot
similite
nam S6 est aequ 2. 449. Tamebsi ergo non prodierit 2, tamen prodiit veritas nempe 14 56. C ita
demonstro
1
5+ Y. 2 est aequal.  - Y- - Y- 4 + S+3 quod apparebit si  quantitas utraque cubetur 69897
3
5- s.2 est aequal. 2 + S.3 S- = + (+2. Ergo 35+ s.2 + 15 - S.2 erit 1 + 16. L. E. D
293
rtem
Talculus corr
addenda 20000
7
0d
fiet: F201YN
= 5000s L
201727
y
0000eL
2.017
1701
14
15
201
44gc
ut 2 2
(- 2
veret
201727
1099+
E

## Folio 54v — 00068124:0108
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000108.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 88 lines, status machine
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