# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0039
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0039?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 20r, page id 00068073:0039
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=39
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000039.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.79
# 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.

u de neductione omnum antronaplum qd circ. et Hyp. de
educt: curu ad rationates
de imaginaris
d
salculo per musmenta.de additionibus ordepatata
per constantes Ergo cubiliariae prius atiae Jannar. 1680
Quadraturarum investigatio
per calculum
Ennum omnes figurae simplicis aequationis nempe
est
paraboloides et Hy perbolvides ita quadrantur,
quia differentiae earum si sint progresspionis geometro
cae seut ipsis proportionates proportionis geometricae
dz
H y. dus B LX
Hinc et quadrabiles qua u ex his componuntur.
X
X + X B
+ X2  co.
et faciendo  v. fiet
et X  ro +1 semper datur qua
ratura. Et qua docunque si sit
a
.
datur figurae quadratura, ergo
et haec quadrari potest: X + bx +
X 4 b X
seu
X
X
X
2
VX
y+b - b
 eon
YX +  1
sx
y
fiet X + 2-Y
+
ne
vx H y + b
p- b3 + V Ly-
27
ponatur ae 1C+C
X
V.
X + 2RX + 410.
 1 + X 4F
quadrari potest. Ergo eb 
seu e
X2
4
t eX
x + bp y. X+Xy
SX
2 X +X+y+45
4
+
X
4+y- 4
a
p- 4y -b Habetur
t
ergo quadratura hujus figurae
Yγ. 4y +c, d,
sed quia omnes istae Vrae naps non sunt
plane analyticae, huc alius calculus subinde
a ine adhibitus analisticoteros per
momenta seu multiplicationes
Exempli
27