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# Piece: https://leibnizlegible.com/api/records/388/text
# Catalogue record: 388 — [Aufz. zu Differentialgleichungen]
# Incipit: Sit curva differentialiter data seu sit dy : dx = (1) f : a posito f
# Date: 1676
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=388&katnr=57964
# Work: https://leibnizlegible.com/work/00068199
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folios: Bl. 117 (from the shelfmark LH 35, 13, 2c Bl. 117): 2 pages, canvases 233–234, page ids 00068199:0233 to 00068199:0234
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=233
# Lines: 51 recognised on 1 of 2 pages, mean confidence 0.83
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 117r — 00068199:0233
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000233.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
AB, X
BC, 9
undeto
s curva differentialiter
Sala seu sit dy: dx = fia
posito f dari ex X, y, ai
C si
(2do
fietq
Xx + yi = 2Z,
seu Ctio) Xdx + ydy = ZdZ
seu ex 3 et 1 fret
fit (5t0) dx = az d2 f: ax+ sy
jam b dydgn dxdu In d
et dy = fZdZ: ax+ fy
jam (7mo) dxdx + dy dy = dz dZ + dede
Ergo per 5 et 6 in 7 fiet
(aa + ff)  2Z d i dZ
= d7d7 + de de. pro de fiat
(2) axtfy eitque
avt.-de
quod si ergo in aeq. proposita 1 sit talis
valor ipsius f, ita ut aa +
ex
possit haberi
(2) ax + fy
L seu ex xx+yy, poterit problema
n
solvi per quadraturas verb gr
s nempe set a+ dydy a
si sit
Xxtyue
aa
2
(7l) Xdx 4yd yfdy: a = Zd2
fit aydu e
(6t0)
=
axdx
1 Axdx +ydy
aaxx+ dydy in +2axy dys a
axdx
et
aa
habetur solutio per quadiaturas
nam  V erit arcus circuli centro A
radio a descristi
ax
CD, ax
DC
AC, Z

## Folio 117v — 00068199:0234
# No recognised text on this page (recognized).