# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0115
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0115?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 58r, page id 00068196:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=115
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000115.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.63
# 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.

 . 1690
XdX + Idq = Y.LX
e
C
sit XX + au progressionis
cometricae seu Xna
 fre
qua
L
XXCd + vuc
et
a
ai
pe
 EF X
M
k
les
dx.
e
Axp
s
 2R _K C + 2y dga
 1
exursntur
en
Ht
Nia
implicati
s
xdxtyde
eriun
 sn kxtyus, hax it aya
Egydx
per
ix
= aydax + adydu ex
i
se tollantur c fieri
sed et termun omn
Mulliplicentur aegu. 1. 3
homogenea tiant aguation
lias oquationes
lV
s
Ob (2)
XX Co: d. L VHCd: a.
upr. Seo
yu iddx tagax
X ddx + dx + Yddx + du = yd dx + dy.d
ex
r
un
oxdx +uolo, et a xuxeydu.
2
xu
et
2
b, ut
non santum