# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068051:0034
# Permalink to this reading: https://leibnizlegible.com/page/00068051:0034?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 17v, page id 00068051:0034
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 16r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=34
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000034.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.85
# 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: the recognised lines in reading order, one per line.

sed nihilominus puto in casibus non nimis
simplicibus adeoque in hoc ipso puius reducto ad X
rem po ut in quadrando feri posse onstat rem posse
succevere. Id ergo reapse adhuc exploranum.
sane si consideretur esse X = inZ + nn Z+ p
et  in cubica gradu esse m+ bmm + cem + d=0
et p = un, +3mm + 2b m + cc,:, m + 2bmn + 3CC m + 4d
utique si x sit constans obortet, ut si ope aeqq 1, 2, et 3
tollamus m et p. simul evanescat X 3 alioqui X
non feret constans itaque calculum hunc generaliter instituendo
scremus quibus casibus reu succedere possibile sit
sit
X nd+ 2bmmZ + 3cCmZ + 4d
sit nn = h qp fiet q-
X est constans oportet, ut sit un: m = p
et fet  (m3 (2bmf + DCc,  + 4d = (3m  2b mm) f CCm)
seu fiet m = (CCm) + (3d = bm cem (d) seu nm- 4 d: b
et um =d: b quo substituto in aeg. 2 oritur deferminatio, seu
relatio inter datas
X9: V + ab ay: infiat vV = dx et vdo = L adx seu
di = 2 a dx sax fiet Pfaan XX + ab,  ax ac
seu fa du =  ax + a x hinc _ b = 0 et d = 0
in form  ax + ab XX + acCX + ad.
et cc = ab et fit
m = = ccm = - abm seu m = Y- ab
et - p = - haabnn  + aab nn et
= aab s- ab + 3aab -ab
seu p- un: Af- ab
quod vitare volebamus
sed ita in illud ipsum inciditur,
si esset x-cot h. foret
faco + 3ahcoco + dahtco + ak3, fiilt man m-  e  ab. H
+a b co + abh
fil (b)= h et cc = 3tk + ab cd = h + abh
et . p =
3a, - ab = 2hS- ab + hh + 2ah, nn, = h + ( ab
Cas, 3rab, a - ab - 2h f ab + th, f- ab -h
aha 
MMl
si sit vo (∞+ ab = vo (∞+ 2orZ + Z2. fit fit vr = ab- 22
ut (v + a610 - ur +Z do
v (ab) (a6) 2V ab + v7ZZ. an ac vv-2 sib iti vi
u
seu v v - 2atab Z: aa -Z
v mle H Vi +bV = 1+h