# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0536
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0536?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 270v, page id 00068196:0536
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 271r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=536
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000536.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 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.

sit
(1
D: 3aa = 2Xy y.
aa = 2XXy+ + 2 Xyyax: Xdy + 3ydx
mxy +nXV + pyP +qu+ryus + son
fiet + 2XXydy + 2XVydx 
amxxydy -3mxyydx 
differentialis ipsius h est
ouxvdy +3pyyrdx + pXyvdy
qX dy +3Yy3dx
3 n XyV dx
rxyy dy + 3gXXy dx
SxVVdy + 35 y vV dX
n Xdy + in ydx + n xdv + nvdx + pyirtpvdus0
+2qx x + rydyLEsvi
ziarum b, c e, F, 9h n n, b q Y, s tollantur omnes sed non satis labemusarbi tratiar hb
termini in quibus extab affectio ipsius
X
nempe
ex xdy. Xdx. Xye y xy ax xgibus XVax XVqu. (X
Ld
sed non ulis habeoimus literarum prdotot tollendo
ex
haec multipclicetur per  bx + cy + e v + fxyt gxV+ hyY Hic jam omnes
prodibit (7) haec componatur cum +, fit (8) in qua ope arbitra
du
1