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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [71]r, page id 00066634:0141
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acubo
n
e
rans
XII
em
2
do t
su
in
solisam
uli
vel
vas
c
M
Esto. Aequatio data Solida, quomodocunque affecta, nisi quod secundo termino
oarere debet
Aequatio arbitraria
 bmY =bn) +b p, sive
V +bm
=ny +bp
inatur V p g + h- b bm, eoque valore in locum ejus substituto, fiet
qV + h - b (bm + bm)
-ny +bp
e
multiplicando per crurem
Ebnus 
sive lv st(V B
OV +h b -bm
auferatur ab uno ae quatinis hug latere
(+ 2βg.
1=nt
e
in
bm
V ab altero ejus dvalor
s- 34
+ bmB
4 b3
+
=bm
bso
+b3
sgu
-nb V
DH bgrd
ln
+bn
v
Guam Aequationem ad Circulum
auferantur latera hujus aequationis,
a lateribus respondentibus aequationis superioris multiplicatione per crucem productae
 op- nb V +b3p
2
hiet:
+  V
bm
g
quam aequationem sectionis Conica indefinitae inventam, conferamus cum
aequatione sectionis lonicae datae, 2r_ == C p W et ponendo cop y+ e fiet
Hhinc (  + bm +X. item B 
d
Ergo bm + k eit
Ergo Be bm., et g p F
2.
+ 2
+2YP
+ H
WH VFK
Si posuissemus ab initio Nabm ahi
b
V, gu
in isia aequatione  Conica indefnita, v simplex
st terminus erannisset, ergo K foret p 8
 et C  + nb - 2Y
sed inde sequitur
contradictio, vel saltum mmmia determinatio ex porissimo valve ipsius e, qui adhuc
superest.
Igitur utilius videtur resumere aequationem Schea separata
ubi l. et c. relicta sunt. Ponatur C 110.
inventam,
aequationes instituantur Ag  -β3 + C item g +bml - ben - β
v
collatisque his duobus valoribus, fiet
 +bml Vn +2(at fet
Fit +C + l
4
4
E
4
Porro K +C ebna
itemque R (7 b m  4bmc) =4 βbm + 4
Exe K B bm- P
49
x aequatiole arbitruria siet sumtus fiet
esse manifestum est.
Aequationem arbitrariam assumtam multplices multiplicemus per b dabit:
N
+R
(+C Post
e
n
amo
2Y+