# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068220:0024
# Permalink to this reading: https://leibnizlegible.com/page/00068220:0024?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 12v, page id 00068220:0024
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068220&page=24
# Source image: https://digitale-sammlungen.gwlb.de/content/00068220/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.79
# 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.

sit aequatio data X - 5qX + SYX + 599X - 59 =0
quadv
et generalis est: X . 5 lnX + Sbma X + 5quadtm X - 5 lm lnr
ponamus P=0 fiet conmparando
fit (4)
jam
= r: mn ex 2. et extrot.
et ex 4 et 1. fit imt rn +mn= omn
no et fiet m- Crnterna rn
fiet Ni + mp A
t
M + rn -q m + rn -2rng +99 e 6
nn
seu m=
qn+
in-2rnqtgue in
474
rn rrng+que drunq
at ex aeg. 3. fitr
2nn
+m+n = f. s. ed quia
mn
= sImnp X - 15 =0 Mn + m P = p MM m + pom
fiet In=q et Imner  ponmus  pa0
fiet: 15 = f Ee
n
n
 non invenimus simplieiter per
valorem ipsius in _g. Y.  y. 8
hinc substieuendo non pervenitur ad
aequationem ap comodem.