# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0576
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0576?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 290v, page id 00068196:0576
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=576
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000576.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.73
# 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.

ya X B 30077 2XgyZ posito
celse
psius aequei quaeratur differentiulis nempe
2X)
Zic = dx
id,
EXXadque t axuadu = aax 3aaydg 3aaZdy x yd. 2yyxdg 2yyde
et dividendo per dy. ac pro xdus Tubsti totendo Z: a, fiet ex 59. 3
eL
f
Xxaa + q ryaZ = aZ = 3 jam ut tollatur
ay
et Z: d = dx : dy = 2XXy - aX: Ey 3aay
2
et pontatur et fiet dque fiet dZ (2) 3acy - 2xyy
haay = 2X YI 4Xy ex +2Xx dy = a x (= 2XX y - a X. 3aa dy- aXy dy(2yydx
sit compludio 3a4y -2xyy = n et EXXy - aex = (m (gl
dzHB = AnXyax + 2nXxxdy = na dx-(3aamdy + 4 mxy dy + 2m ys dX
ubi pro  m: n ponendo Z: a per 1,2,4. 5. Et pro  dx ponento Zdy:a
1
ex aeq6. siet   4XyZ +
Xxyy3azay 142y124y
n
seu du. any Za dy v auxxy Gxyzu +2ax dy - a2
e  BZ: dyc txyque + Euxx aa Z 3daZ + 4Zry.
d
la
= 4XY.
seu vid
at na
it ex sg. 6
y + 2XXdy a47dy = 3114 Zdy +47Xy dy 27 yyZdy
n
ue
na
=Xy Z+ 2XX aa aZ.
da
na
naa
4aZX9) + 27Z y ap dy: na
seu dz = 8axyV-4aaZ + 29yZ2 F2xxaa et per compendium
18)
8a py= 4a vocetur P fiet dZ = pZ + 27y7Z + 2X Xac, dy: na
1
et Z (pdZ + Z dp +4yyZdque + 4y7Zdy +4 aax dy, dyH
a
 pZ + 2972Z+ 2xxa4, ddynF
5Z + 29yZZ+ 2XXaa, dy dn
 ubi adhoc pro ap, et un subslituendi vulores
nne
per aeg. 11 et 4, inque iis tollenda prius dx per aeq.1
inde jam pro aliquid licebit compouere exus aequationem
dus ddx a et co (vel etiam sine coconstante
infinite parva e ut inde nascatur aequatio tractabilis
(x 
21
s