# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0313
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0313?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 157r, page id 00068199:0313
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=313
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000313.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.

quando due lineoi-
aagrul
semier seu quando probe
EGralio differentiatis est
de leminatae, tunc videlur
vulct differentialitatum,
icularum repercti posse,
ut si sit aequata
(1)
Xay yax (Zdx=Max
et pb et aqualiouem
habete duas radice aequales
Ergo fiet : (y Scx +7 sydx
27
M vel aliter quasi esset
9syax = max: Zax
pet y = M sil (Zdx - Z sn dx
n y
12
1.
x
Zdx = m sydx - Z (mdx
habemus ergotres aequationes
1, 2 3 quam ope tolamus
duas differentiales, nempe
ydxget smax et quidem
Sydx = (ndxo: (ZdX.
s
et per 2 est fydx= M- 7sqdX
ergo per 4e5 habemus etum
Suda  valorem ipsius (max
eundem qui est in Fg.3.
queertmque adnmnor
xx . 2)Sgax = n sydx 7qmao