# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/37416/text
# Catalogue record: 37416 — Ozanam für Leibniz
# Incipit: Data aequatio a3 + 6a2 + 12a || 117. Vt deprimatur haec aequatio,
# Date: 1673-03
# Sender: Ozanam — Addressee: Leibniz
# Akademie-Ausgabe: AA III,1 N. 008
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=37416&katnr=Cc2+782
# AA III,1: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068207
# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folios: Bl. 70 (from the shelfmark LH 35, 15, 5 Bl. 70): 2 pages, canvases 139–140, page ids 00068207:0139 to 00068207:0140
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=139
# Lines: 41 recognised on 2 of 2 pages, mean confidence 0.79
# 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 70r — 00068207:0139
# Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000139.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
Data aequario, az 16ar + 12a11 17
Vi deprimatur haec aequario, quando hoc fieri pote
divide secundum coefficiene 12 per primum 
e
Luotientis
2 Cubus 8 Virique parti aequa
adjurioatur a erit az +6a2 +12 a-+ 8 (125.
Aa 2
vtriujgue partis cubica
habebis a+21)
5, Cc.
adiae eticiatur
Data aequatio aqui
10a3. 9
tam
5a 2 +10080as
176400. VL deprimatur haec aequatio, quando
hoc fieri potest divide ultimum coefficiens looso
e
otrobique erif
a4 = 20a3 493 a2 +10080 a + 20736)) 197136,
Jam quadrata radia eliciarm otrinque,  erit
a2 f35a + 144)) 444, sC.
tiones
tic primum 70, C quolicuris iaqe quadratum
20736 addame
Si ex parte aloebraica possa extrahi radir
iredicio
et equationem reducbilem Pone,
et cet
al tera pars coonita non habeat radicem,
tanc Coluno fieret in pumeris surdit
e
e
2
vol
e
Ve

## Folio 70v — 00068207:0140
# Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000140.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 3 lines, status machine
FRIED WILHELM LEIBNIZ BIBL
EDERSACHSISCHE LANDESBIBLIOTHEK
latum