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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 17
# Folio 5v, page id 00067979:0010
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Habemus ergi regulam generalem solvendi construendi problema solidum datum
ape sectionis Conicae datie, speciei cujus libet, methodo in omnibus sectionibus
Conicis uniformi.
Gentabo Experiar an aliam brevius obtinere liceat.
dictum est supra DF =
ante  , et HL, Z
erit aequatio,
M
du v de
in cisculo DLE, aequari MHL. + appellemus ut
ante Et  et XL 7.
DE autem
appellemus e, et EF appellemus 2G.
1 27 + qV
ponendoque , V + h
et Z 1 + K fiet: dV + eh - v = 2t. B - h  GK +.  + 2k K
An -V du 1x
side ordinando.
h
~PK
=K
29 od aga
e2k  
+h  II
B a
Unde et vatorem ipsius  inveniaum
 adjiciendo utrique aequationis parti
et aequatio haec orietur: V ++K Sih g
ino
lX
Estojaim aequatio ad sectionem Conicam y
FX
M+ 2GX Y K
+ d V-v
ha ngxderah
+ 4
Nomam
1 P2ax +x ponendoque  r
primum ponendo X e, B, videamus quid eventurum sit, nam si res non succedit, valorem muta
bruus: et g + X vocabimus, . at y esto Y W + B + X = (p. fretque
B + V e A.
quadrando
et B + 2(pB + cp=
e v 
h
conferatur ocum
V+
e
+2GK
+con
57 2VB, et run
 +  un a.. 
faue.
quae aqa. Quae aequatio factitia,
data cujus constructio quaeritur, nempe
+elV + OaM V = C a V +OV
unde statim habetur 
vidinant
. V +207V D
17 0.
1 Oap. et AD ⊓ Ol et 1,2- Oan
2 cotlatitias
sed inde ipsius V. valor adhuc semel habetur ex aequationes etia qua est absundum
Huic ri facile repredium haberemus si cum pacabola tantum nobis dis esset
negunisi parabolam comprehendere constituissemus, possemus enim ponere
 quidem cognitam, sed tam , quam  incos ignotam, ex quibus nota feret alteru–
ta, ponenon Y. mulsiplicatam vel divisam per alteram. Ponendo enim loco
 aliam, ut Cosat erit Y , co at.
a
1
ope duorum ipsius  valorum ipsae indeterminata, co et Y vel co et E, determinarentur
idemue vanis modis aliter effici, sed in parobola hoc non prod est quia aper connescit
etsi ponnum  continere in se + fiet in finite magnum, ae caetera evanescent
remmebitque tantum oipua. Quara in parabola saltem necesse est 
explicetur ipsa, et fiat X e V + se  Nonendo N p, ( = eZ sita
ut ipsa e arbitralias fit, modo semper linea ordinaria esse intelligatur Unde resumendo
fiet
+1
+Z
Eodem modo quo  ponemus ad iata ut b. Cetiam sit
arbitraria. Utile autem erit intelliu Parabola EB a, et O, a
in caeleris autem sectionibus, fiet O  t, et ∞ =+.
quare in sectionibus
caeteris omnia per se multiplicata cunt pjo.  in parabola omnia per N multiplicata
restabat ergo tantum  2 2a + 2 1 aq
adjicienda ad ga
Bcolo pa -v00 a ppes
at t 0