# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068197:0211
# Permalink to this reading: https://leibnizlegible.com/page/00068197:0211?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 106r, page id 00068197:0211
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=211
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000211.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.77
# 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.

Aequationes incognita tancendentis Ma Jun. 1678
X + 
V aequ. a. Dividatur in duas haec aquatio:
X aequ. b. et y aequ. Be c.  fiet:
fiet X aqu Y b. et y aequ. Yc seu y aequ. V
seu vec. V aequ. C
X aqu. y X
Saqu. C
X.
X + y  aqu da. seu eC x yX dx. + XY dys
e
Ex aqu. - X
ErgoL
Xdy
Ergo
sit
yt di
X ty
a
X
X -c
y da
= 1.
ali alia adcurvam
Xdus
a +∞ay
et: C +.. X +. +. X + )+. 
do
aequ
l+.. 1. y +. X-. +.. 7 dus
tien potest da
du
 aequ
e+x+
y aequ a = X)
2 seu aequ=
7
3
a
2c aaequ. d
quaritur curva:
L. etres ad simploces reducitur
l+y+y
quadraturas tantum et quidem rationales