# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0120
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0120?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 60v, page id 00068199:0120
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=120
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000120.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 12 lines, status machine
# Lines: 12 recognised, mean confidence 0.82
# 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.

 dx dys
aadus = Xx dx +yydx. fiet sit dx constans
fit aaddus = XX 2X dxdx + 2ydy dx et
X = aadus - 2ydydx,: 2dx dx, et
siet
XX = adlydus +a yyagaxax  4aaydiy dus ex
Idy au
4. d 
vil
Unde
X aa dx dus - 4yydx = a ddy adus + 4y y dydus dxdx
aaaydyax ddus