# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068051:0053
# Permalink to this reading: https://leibnizlegible.com/page/00068051:0053?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 27r, page id 00068051:0053
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=53
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.81
# 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.

aqu
dy. dx = Y, X, a
unde sublata y fit different dofratis (2) in qua a, X, dy, dx ddy, der
assumotur sede du et relatio3 inter dZ, dx, X, a, dy Cujus dsfralis et sit formula
4
aequalis constanti disprerentiali, coposita ex dz, dx, X, a, dus cujus differentitlis sit og.6)
in qua d.
dx, X, a, dy, ddze dax adque sumliter ex est. 3. siet ag. (6) in
ua eoedem habemus ergo 644. 2, 3, , 5, 6 quam ope tollendae 
dZ, adque, X, a sed video non posse tolli omnes
Aequalio 1. differentietur per ag (2) tublata y.
Astumatur 
imula nova in qua , dx, du x, a, eaque differentietur, posito esse eam
rmulam aeq. V. et habebitur aeg. (A).  ope aeq2 et 3 id agitur ut formular
(3 sit talis, quae differcunuli sua tollat simul X et c ut ope 8g. 4 et 2
inter se junctarum tollatur simul y et a
sit
V  dy: dx Z, posito (q fieri ex X et a, utcunque
dy = dy: dX dZ +
e
fier
ydat idus dx = e ddxodus,: ax sit dy. dx =  Y,
fiet dy = raz
 y ar
= X a
ddo rdau +ardz + y dartag
sempl res huc
Verali p
c
at
= dy: dx
data erat y = YZ
t dy = aX, dx, ddx
seu dy dx dy: dx = _ X: a; addx : dx seu dy = ax X:a, addx: dx
sit quantitas composita ex et X sit C quantitas composita ex Xleta et, site
 quantitas oposita ex a et ex, et ficet 6axdus r
et
at
dx dys + 
Ddaxdus
daxiDdar
fiet a jar e esset sum abilis isforet in vato
2
e
X X.a, adax. du