# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0581
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0581?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 293r, page id 00068196:0581
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=581
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000581.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.80
# 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.

du = ex AX: Ina +XX Cde seu dyr Ax: Z. posito
e
(4)
taa +XX sit ZZ= aa tx et Z dZ= x dx Jam
fraciamus
e
 x a0 + 11X +21 Z 4 31y 4 12 X + 33Z4 32y + 178  
a dy: dx = e. fit eaa + ExX = a a XX. Ex 1 et 2
(9
sit  a  sit  l + mY a my + b,3+ 4y= 0 fiet
sit lCa maes tet (  rhy + Ny + py+ 
et
4C
. fiet
no  al + a my + any + py3+ y =0
ge
cujus differentialis
erit al + ame + a’ ydm + 2anye + ay dn + py e + v’Sp + 4y C = 
ubi pa es sit saa +XX = Z. fiet eL aX: Z
quod si ponamus y non posse uscendere super y, quia nec dy seu e
altius ascendit, poterimus facere p, = 0 et 4y  abjicere et facere n = a
ideoque et du =0 et fiet; adl + ame + Gydm + 2ye = V
et a + my Lyy =0 et ex 5 et 7 fit iZ al + nX + y qdm rar
r
seu y = - a Z dl - an X, : jam + 24X = - al: mFy = al: m) dn-
=al Zdm 4 al 2aX,: inZ dm + mrax - aZd l = amx
2 y02 vl
seu amque dedm + am xZ am F 2aa nXZG + 2 a m X - a Z dl -am X - 2a  
Ubi nihil aliud superest quam ut l et M explicemus per X, assumto
= al Zam +galx + 4 alxz am
2
communi divisore, et tunc debent omnia tandem fieri identica
ed hoc persequ prolixius est
haber
Eut aliunde Met. Eodum sistandi