# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00066617:0010
# Permalink to this reading: https://leibnizlegible.com/page/00066617:0010?run=39
# Title: De Constructione (shelfmarks LH XXXV, I, 17, Bl. 1 - 17; LH 35, I, 17, Bl. 1 - 17)
# Folio [5]v, page id 00066617:0010
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00066617&page=10
# Source image: https://digitale-sammlungen.gwlb.de/content/00066617/jpgs/default/00000010.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 109 lines, status machine
# Lines: 109 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.

Habemus ergi regulam generalem solvendi construendi problema Solidum datum
pe sectionis Conicae datae, speciei cugglibet, methodo in omnibus sectionibus
Conicis uniformi.
Gentabo Experiar an aliam brevius obtinere liceat
dictum est supra
ante  et HL, Z
erit aequatio
et Z ⊓ W + K fier:
sive ordinando.
+an + V
ha
39K
=K
+2h.
et
in cisculo DLE, aequari MHL. + appellemus ut
ante EL  et AL 7.
1 287 + qa
dv + eh - v - 2k V - h
du  L1
2G
F2K A
DE autem
appellemus e, et EF appellemus B2G.
di a
lt 
ponendoque x, V + h
K + K
.Unde et ratorem ipsius y inveniaum
 adjiciendo utrique aequationis parti  + 29X K
et aequatio haec orietur: V Kh
LN
Estojam aequatio ad sectionem Conicam
y
d,V-v
h ht2gXd+2
=2k
La
+X
2
poman
rax fxa Oporendoque rr
primum po X , V, videamus quid eventurum sit, nam si res non succedit valorem muta
brinus: et g + X vocabimus V. at y esto F W + B + X = Ep. fietque
B + ( ei A.
+1
p2
radrando
et
+ 3l V:
unde statim habetur 
+ c0
data
+ OaM. B2
+
2
B + 2(B + P p A unde ordinando:
e v 
conferatur oum
V+
2
7. 2VB, et rurtus quadrandvaque
3
oidinantus
oV +207Y
2
2D + g2
+ 9 a..
feque
quae aqua. Quae aequatio factitia
570
cuus constructio quaeritur, nempe
+ aeu Y +Oa.
+1 0.
1 Oap. et AD  O et 2rZ-  an
2 collatitia,
a
sed inde ipsius Y. valor adhuc semel habetur ex aequatione 3tia quod
fuic aci facile repredium haberemus si cum parabola tantum nobis ds esset
t
enisi parabolam comprehendere constituissemus, possemus enum ponere
 quidem cognitam, sed tam , quam Y incog ignotam, ex quibus nota feret alteru–
ta, ponenoo Y. aulsiplcatam vel divisam per alteram. Ponendo enim loco
 aliam, ut
W at erit Y f co a+
v.
, sive Cd Y ac proinde
ope duorum ipsius  valorum ipsae indeterminata, co et Y vel co et E, determnarentur
idemue varis modis aliter effici, sed in parobola hoc non prot est quia 4or evanescit
et si ponamus  continere in se
remmebitque tantum oipra.
 fiet in finite maguum, a caetera evanescent.
quare in parabula saltem necesse est ut
explicetur ipsa, et fiat X e V + s  Ponendo N p, ( = nE ,ita
ut ipsa E arbitralia, fit, modo semper linea ordinaria esse intelligatur Unde relumendo
fiet
in caeteris autem
Eodem modo pro  ponemus c B, ita ut b Cetiam sit
arbitraria. Utile autem erit intellio id Parabola E5 a, et B a.
sectionibus, fiet d, t, et p+.
quare in sectionibus
caeteris omnia per N multiplicata eriuit po. in parabola omnia per N  multiplicata
restabeit ergo tantum N 24 2a 1 2 1)
adjicienda ad ea
8c0 197
a
80b a n
u
at C