# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/977/text
# Catalogue record: 977 — [Aufz. zur kubischen Gleichung]
# Incipit: Si sit x³ + ppx + q³ = 0 fit x = ³√[q³:2 + ²√[q6:4 - p6:27]]
# Date: 1692
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=977&katnr=58558
# Work: https://leibnizlegible.com/work/00068051
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folios: Bl. 13r (from the shelfmark LH 35, 6, 6 Bl. 13r°): 1 page, canvas 25, page ids 00068051:0025 to 00068051:0025
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=25
# Lines: 31 recognised on 1 of 1 pages, mean confidence 0.72
# 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 13r — 00068051:0025
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000025.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 31 lines, status machine
e
at
X = 9+ 36) st
il
si sit X X +9 =0
4.2 + 9. 4 a- b: 27
9.2-
DD= X = 2C +D X = O+)
= d+9+.
O+) = 9
videnam
3307
X
9.4 p. 27
3103
On = 49 - 9 +
vreccnara
qu
4
10+ YI
et
4: 2 + Y9: 4 e= p : 27 possit aequam cubo
vel pro pro que ponamus Kaa, et
pro p: 3 ponamus naa fietq
kaa + adna=na = cubo Y.
a ka- Ha = Y = Kaa
su anta aK = aH = Y - 2aaKY +Ha
et fiet H = aR
= P-aaK,: a
e
e