# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60608/text
# Catalogue record: 60608 — [Aufz. mit kubischer Gleichung u. Gl. 5. Grades]
# Incipit: x3 + bx² + cx = vvxx fit xx + bx + c = vvx
# Date: 1693
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60608&katnr=57524
# Work: https://leibnizlegible.com/work/00068196
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folios: Bl. 330 (from the shelfmark LH 35, 13, 1 Bl. 330): 2 pages, canvases 655–656, page ids 00068196:0655 to 00068196:0656
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=655
# Lines: 49 recognised on 2 of 2 pages, mean confidence 0.77
# 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 330r — 00068196:0655
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000655.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
X + b X + Cx = vex, fit XX + bx + C = vVX sei x + b +  = bb
L + bX + CX = coco: DD sit X +bX + CX =ab smn (=  DC Amp + omp. . Nad B = aa robinn + labrumm
oest esse
et ddnx + 2cdp tmn fit
bh = cep: a se et cop. ab. Ergo
cesopp. bb + bbmm L cemp = Donp Eugo datur b
N + aabb = XX + ab L.1, X - A5 S. 1
XX Fab HI = X + ab   f-1, X - sabi L 1 L- 1
sa rxaub  = X- tab, x + dab. ubi
illud mirum quod ex his duobus
X tab et X+ tab in se invicem
ductis fieri possunt duo diversa
unum possibile XX- ab, alterum
impossibole Xx + ab L 1
et XX - ab -1 = X + lab s- 1, X - 1ab. 11
(XX+ ab L. 1 +XX - ab A- 1 _, el = 22
2XX + 2 X + aabb = y = 22
(Z2x = sydx desendet à SXZ der
22 + 4pt = 4 X+ ZZ = x t aabb
Aliter
Xxtabs = Z2 + (x+  ab H1 - 2 l 1)
cuse
seu Z)= 2ab  + 22 XX- abs -1
jam 2Z exx - ab -1 = 2 XX 42 ab - 1 + 2 sx a b
Saatux - Saa - xx - y
a +b + AR - b
fit a- b + R in atb
9 sit aa - bb + R at
sit v- E0 +g siet Z aa + YCo +Y5- bb cologr Vrcof. B
sit rCo -rerF C = 0 seu f- aa: 2Y. sou G. at. au
t bul 3a +a  a = 3 4a et
adeoque haa + reo + rs. Eaor-vircos. Hn dabit
e  e aevoir
372

## Folio 330v — 00068196:0656
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000656.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 15 lines, status machine
Engros injusgusssus s desset
Aremogobrreqant
 un Hhysct nog Gmoctog igo Gogon
r. husean orsoxor.
rum ssent husi b∞ scrogus ut
ipsie domoni sinr nogum
firion nonors duocya, un puc
parsiait nx Buo 2o esir ossuo
resgul cungroge oni juz q
ahaino et rogos s ovgu nos
he wvcie lsi vgos Gungres
Ehrv rgog onn 10or 1V
non dor famili der constastre.  d Depers cstoit Turkius Aunales Ms. ndestphat
Oiiptores
ono sesidente Erasni Vienrm.