# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068202:0167
# Permalink to this reading: https://leibnizlegible.com/page/00068202:0167?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 84r, page id 00068202:0167
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 83v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068202&page=167
# Source image: https://digitale-sammlungen.gwlb.de/content/00068202/jpgs/default/00000167.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.80
# 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.

loca sint repleta seu quae sit affecte su vnnibus gradibus parodicis, a- 2b a + bn a. +b pap b4
S
resolvatur in Anulogismum ut ratio regulae evidentius appareat, sus
a- 2ba + b)d pa.
ob aeq. ad parab. a  a + 97, qui valor si in aequatione superiori substituatur in locum
p
a, fiet aequatio quy + buqu = b a
Hyperbolas pro varia ratione g ad b. et quod si = b a substituatur alterius ejus
vulor, fiet aq nempe - b qy = ba, fiet aequalio ad quamvis parabolam.
Kg. V + bn y
ad parab.
1
1-bp a quaerursus est ad quamlibet parabolam
bn.
+
bu Y
b3
A
b20
privis ad parabolam abea conferatur
relinquetur aequatio ad viculum i nin
bop aa - a
=bn
111
+ b3 .
+ b..
Aequatio ad infinitas Ellipses inveniri potuisset, addendo primae aequationi ad infinitas Hyper
bolas aequationem ad parabolam ductam in qu, supponendo 4p0b., vel etiam
ductam in be per quemlibet rumerum, v. 9. 2. multiplilatum, exempli gratia. per 2.
ut sequitur:
va
quy + bnqu- b a + bna + 2b a- 2b’ a b
C
igitur cum hoc circulo Y qualibet parabola idque dupluiter; vel infinitis Hyperbolis
DD. P
aut Ellipsibus vel etiam cum qualibet, si huc applicetur methodus superior sotuetur
aequa aequalio proposita constimetur ut si deficere 2b a3 sufficevet
poni pro aequ ad parabe qy a
(Hoc per se patet ponendo bpp04 sed
sive methodu. ljus non permittit, quia ipsam b. rescetit, deberet assignare ipsi
termino terno literum particularem ut caetis item deberet assignare terminum
peculiaum cognito +) Unde haberetur
e
 +bu a +bpd, b24
vel eaim ad Circulum, si q’aequaretur bn. et e
+bu v b4
a
qu
Et iterum
quodsi aequatio ex cubica sit sublata ad
ad parab. Fet oy. ad. (pc.
odralicam, pro 2 bd2 substituatur 0. et caetera procedent ut ante. Si abesset
eat n o si abesset a foret PB quae si absit, et simul
ti A3
ut a ba + bna a invemetur aequalio ad circulum, y +bn y obna -a
(V
foret
+63..
sed nopus hoc molimine, cum sit plana, e v valeat.
2ba - a  bn. si quis tamen eam per huec circulum et
construeret vellet aequationi huic 2ba= a 7 bn, jungendo a- ba pigy
in ailis cirtuto
qui adab
fiet ba-, bu +qy
 uncta problema
solvit. infiniti autem sunt ciurculi, quia  sumi potest ad lubitum. Unde et
smni potest crculus datus.
Ae. ad cic.
primam
7.
+