# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/33762/text
# Catalogue record: 33762 — [Math. Aufz.]
# Incipit: Ostendi alibi cum radix cubica extrahenda est
# Date: 1703
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=33762&katnr=39268
# Work: https://leibnizlegible.com/work/00068264
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 15
# Folios: Bl. 5v (from the shelfmark LH 35, 3 B 15 Bl. 5v° (=39267)): 1 page, canvas 10, page ids 00068264:0010 to 00068264:0010
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068264&page=10
# Lines: 81 recognised on 1 of 1 pages, mean confidence 0.64
# 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 5v — 00068264:0010
# Source image: https://digitale-sammlungen.gwlb.de/content/00068264/jpgs/default/00000010.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
seu 7
A
Cubica.
ostendi alibi cum radio extrahenda est exformula
indeterminittii gradus, rem eo peduci posse, ut tantum opus sit extrahi
radicem. Cubicam ex formula in determinata secundi gradus
seu ut quaenatur (ZZ + bX + ac _) fiat.
el 2a
es
c
yZ + ab3 + aC = py + 3p2Za4 + 3pZ aa99 + a9 set que =aac
seu q= Vaac fiet aZ + a b = p 2Z + 3 pp Z + 3 pa a44, sex faciendo
d
p= aa: r fiet  a2
q + 3arZ + 3augqir seu aa ZZ + haarZ + 3ggrY
es
F
haar  seu R et e
Laa
p
= BZ = Bb
=Cga- Sartr -, 2aa491r - 4 aarb)
-1. Vg
et quia plicet facere b =0
3aaY -Y
a
a
2aa
sr - 6aarr 4aabr + 9a)
l
Quaniam autem licet facere b 20 hirc succedet extractio, et
=
t
seu
staa
fiet
(3) 11
=
1 = (6
a
Y - 3aar + r 13aar,: Eaa
g5 -B = (5) pt 1
s
5igetZ F 9 -1
(5) =1 5o-(spu1 (5.
3 
s
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df 95 - 6 sunon sumpisg 10
b sinon suognab js bf 1 Sod orad impesia juis d
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