# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0354
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0354?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 177v, page id 00068199:0354
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=354
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000354.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.86
# 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.

ax: X
ay. des
An sic:
2
y: a = Sddz: dx et X. a = deod du fiet dy. ix = do: dz
X: a = fddZ: d dv et ag: dx = 1 dv. de. sit aequatio data
dy: dx= Xx + gy,: aa fiet doidque ) qulogue + qu sddz: di, et diffecentrando
sies deo lzado - dvaaz. ugaqu  A ladZ. du ) logz B Bellera (alz. do)  g - gulou des)
dez: 1V
ddbo, et sola uan et dazue, et sola manebit deo, 4x
du et log. d7, sed ita non pervenitur ad
Quadraturas, et sine illis datur deo per d3 adeeque y et xper y
deo, dd
quod non licet
quid sit si sit
habebiturae
A ded per ddzue, dz et logq. seu per quadraturas
pro 1Z for dz: deo pouas D. a sit d = aZ deo, fi
dex _: du = d7 (3 ddz d = (3de daz - (3 aZ ) deo ddz,: d2 d2
seu S cosola)-quogdq degutu, que  Z + )dco; dia z dd Z
evanescet ddu, et restabit solum
relatio inter deo du et logdz seu int
deo habebitur dZ, ergo et X, et y sine aliis quadraturis
Aequatio autem 6, est ex numero quadralorre
quod non licet
heterogenearum, quas tractare per quadrituras non
logZ dividu dZ dds dodir quod est dloques dvdx
qjiatex parlibs
licet ix oquio fiet
et dodaque est  - dv da
Edazue dedu
dedZ
2’adque 2de dz
et= bl9 (+)
dy diz
2
alogae az a2
et fit a logdi dodo Avde-dologz = ( do =qu log Z
Ponamus log do lo non licel facere  log dys consan
dz
dlogdzu deaz azdzue d
tem seu dav iv =0. nam fiertt et de coustans sed ila foret xia = d Z o
a
non licet
log du, sit
et dux: dxa foret =1, quod
logdo- logdque ita tolli quide
log (dv: dZe) = log de = logdz et du: dy-
potest do: du reducique omnia, ad A loqudo et loque dz et horum
dea logde pronstanti quaem tunc
differentias
posset tolli togde logdz et reduci omnia ad atque, den, dz, do ger
a logdz
ud videtur res vetari ob rationem paginae praecedentis quia ita
sit aquatio deddzue = doddv + dZ ddv feret Z + dn = 0.
nimium praestatur
et daZ = dd H = 0