# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068124:0285
# Permalink to this reading: https://leibnizlegible.com/page/00068124:0285?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 141r, page id 00068124:0285
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=285
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000285.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 88 lines, status machine
# Lines: 88 recognised, mean confidence 0.72
# 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.

q0 ic enuntiare malim: Data rectam AB, ita dividere in C et producere in D
et praeterea AB media proportionalis inter AC et AD.
e
ut sit cubus AD = cub. CB = cub. AB.
(1)
63 et bb = aa-ac
substi valorem ipsius bb ex aeg. 2 substituendo in aeq. 1 fit a+ aet ee  ba
en addendo in unum aeq. 2 et 3 fil bb + ba = Eaa + aC quae est aequatio
ad circulum, (posito sia et e esse incognitas) ut aeq. 2 est, ad
a
Uxx + 2lmxy + mmgus - lnx
orte
cubas
media
rec
bb + bbx + mbV
unxx + EppXy+pBgy.
c
adeoque
et qu
Er
s
p ex 10
n=
Hyperbola
e= nX+ py et
lpXy-mpy
almi anp=
sil
e
L 2Im: W = 2l - mn.
4
pn- 2ln Ergo n- l=Is.
pomata
l
1+ V3 et p= - 2M. 1+ si
paaleres o
et igurum
seuri
praeterea
MM= mp, est cg0.
n 1
et aeq. 7. fressat circulum, at
fiplibolata vec
1+ 2:1+S
is g. 16. 17. 1C 
Il sr esportiona disson fieri
impesier compendii cauta sit 1+ 13 = h ficc nmt immh nm +2mm: h
ss
aelina ad
bs
mm-mp. 13
.2Mm+ pP: 2 lnioet equa fierent aequaves 7 et
c
h.
Ellxxt almxyt 2mmysy +
3 fiet
V 2U
en
U
eiti quatis seu U = um +Enlm
121
e
itaque sublato, res non est in potestato evavescente arbitraria
p
at ad tollendum ubique ae, fiat a = _ lX + my es
fiet b
((Z
fiat lp4 mu=dlm. rursqu
te ut
prae
calculus sit AB, b. et AD, a et CB, C. fiet a-
ex aeu 
et
(
e
)
g ambe ad circulum
2+th= 2mm+ anm.
nec proinie anea aequaoes
sunt esse ad cirentum nnet tam. h D4: si + hih +2h, F (3 +4: hh. seu eh + h + 2h = 4. sed quia
Grdata praedideo hanc aequavem fore impossibilem nam probrua colidum
ita
vrodac
s
ecte
N
ninus