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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 117r, page id 00068199:0233
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=233
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

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