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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [72]r, page id 00066634:0143
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Tur
Esto Aequatio solida data, quomadocunque affecta
4
+ly +Vm + bn +Yp
y + ly y +m Y +bnV + BVp 10
ue y2
1
in
pro y ponatur ejus valor pro arbitrio sumtus ex aequatione arbitraria nac:
ny I gX = lx fiet:
grX - fal X). +
2
2
V
1a 
V,  + lgyX-
2
ja
Destructisque quae s tollunt, et Et loco-
+bmgs X. Vml y, Aus + p p0.
a
oub
a
+ y, ordinatisque omnitus, et divisis per g
ad a  aequatio vibitraria assumta gX = Ly - y. ,70
auferatia 
et ita ordinando habebimus.
2
+ Im X
a
= n l V
24
 eI
+Vp 70. cucjus aequationis
bocum patet esse
Circulum.
+
2
1
1
Si loco aequationis
aaequatio eadem multipricata per rationem
futura est ad sectionem con
locus futurus est
et aequatio apsa ita statete:
X
+rmX.
g..
Hugsa Et hus sectionis
+
2y
universalis.
problema solidum datum.
rml
V.
B. et g. quae pro adbitrio assumtae sunt: id vero efficiemus conferendo
cum aequatione ad sectionem Conicam universalem hujus formae
2
Eirit (1) βe
T
eX
quo
(2) 
et   rEtar sive er 4A 4
et e
unde d
2t
76 -4tr3(
8r
4
Y
v g+ 6rg.
Bgu
B.92
d
r
vel epjr.
erm
Erg
vel 2hr
229
-2β
substraltats ispet
vationis
arbitrariae assumtae, simpliciter
definito
qui
iin
g2
d intersaiione cum circulo, solvetur
tantum inveniendus est valor rectarium
=8Y
in - 137
9
-1
g2
sive
+r3
conicae cum laro