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# Piece: https://leibnizlegible.com/api/records/40760/text
# Catalogue record: 40760 — Usus signi ∞ pro coincidentia seu identificatione
# Incipit: x³ + ppx + q³ = 0
# Date: 1678
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=40760&katnr=39554
# Work: https://leibnizlegible.com/work/00068195
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folios: Bl. 6 (from the shelfmark LH 35, 12, 2 Bl. 6): 2 pages, canvases 11–12, page ids 00068195:0011 to 00068195:0012
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=11
# Lines: 32 recognised on 2 of 2 pages, mean confidence 0.82
# 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 6r — 00068195:0011
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000011.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
Cum differenbra non
debeat habere plures.
quam Terminus integralidies
et differentia cubicae, aliarumque
alticrum radicum habeat plures
duas partes; et differentio. differentia
ebiam fobidem adhuc plures nempe
tres et ita porro; videamus auhine
lux aliqua per reflegimem redeat
ad materiam de radicibus ut scilices
plures partes potus noniaa
errationalia habeamus, quae revera
non plures habeant ambiguitates quam
nomen simplex adeoque aequationibus
quoque inferioribus seu sui gradus rechis faciant
usus sioni et pro coinci–
dentia seu cientificatio
+ ppC + g=0
V. 4 + 1
+ 4 + 1. 8 - Y F, + 4
X = a + b + 3 ab X A∞ = pp X - 9
et atb
 Ergo ab = -BPR et a + b3 = - q3
quod sucedit nam a + b -- 4 4
et ab = 4 -
t
- c
t
=

## Folio 6v — 00068195:0012
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000012.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 3 lines, status machine
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