# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/58845/text
# Catalogue record: 58845 — De modo tollendi signa radicalia ex aequatione vel formula
# Incipit: b ⊓ √ax + √cx + √dx + √ex. x ⊓ z²/a. z² ⊓ ax. Et habebimus
# Date: 1675-06
# Akademie-Ausgabe: AA VII,2 N. 024
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=58845&katnr=Cc2+1002
# AA VII,2: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-vii/
# Work: https://leibnizlegible.com/work/00068218
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 5
# Folios: Bl. 5 (from the shelfmark LH 35, 3 A 5 Bl. 5): 2 pages, canvases 9–10, page ids 00068218:0009 to 00068218:0010
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068218&page=9
# Lines: 68 recognised on 2 of 2 pages, mean confidence 0.69
# 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 5r — 00068218:0009
# Source image: https://digitale-sammlungen.gwlb.de/content/00068218/jpgs/default/00000009.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
x H2
b et
De modo reducendi tollendi signa
radicalia ex aequatione
vil formula
2 1 + s ex + sdx + CX
H Cx + dx + 2t cdx
Ergo b + q - 267 = Cx = d∞ H 2S cax
V
a
ca
M
b - y - v
b - y
ye
Icx + sdx
1I at+ Se+x
cau
e ri a+x
ap b.
n
se
se
L
do. C
a -bpC NY Lac XVe + Sb+ ∞
C( a + X
ea ( 32
P1 a
ee
ax + Scx + JdK +1 ex
ra. Et habebimus b-
Ergo b + Z- 267
7V
A.
c
Te Lc
Va-c + X
(C+2
N sI Sea + Sae - ca Ergo N B Z + sac = ca
AH y F N - Z
B Sae- ca
N - 2NZ =q ⊓ ac - ca
V
 = 2A7
AB, = 2
1 - car
BFI VE_X = X
4
BD
AI
6 
exe v
Ergo egu
a
c
s
aZs
2
2
a
Z d
Z
Unde apparet radicem illam
esse rationalem posse haben
posse.

## Folio 5v — 00068218:0010
# Source image: https://digitale-sammlungen.gwlb.de/content/00068218/jpgs/default/00000010.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 2 lines, status machine
A
s