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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [69]v, page id 00066634:0138
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suia
caeterum satius est fortasse valorem ipsius n, hac aequationes
ZM + ess  - = - rC+  exprimere, agrandoquidem
2a
si ad parabolam  velimus, ille ipse valor restituendus est.
applicare.
sin, elinius exprimere valorem ipsius.  in aequatione arhibito
inculo ita faciemusi.
_
L2t S-d -rc + +0 - C V
n
p.X + e
Jnventa ergo sectio Conica, ad quam est licus datus, nimitum ejus latus
rectum est + n + e.
ergo ponendo transversum
B  t n + te.
B
ratio autem Iateris recti ad transversum
x
erit 
t
3
ne, eritque
Donatur vero viceversa sectio ista sgnica jam esse data. Quaerius
tantum an non indetermonatae ab nitio assumtae, d. e. C determi-
nentur, Respondeo determinari ex
nisi una reperitur aequatio n e  lateri recto sectionis Coniae
datae ergo in nostra est potestate quam ex omnibus velimus, ea aequatione
determinari.:Quam vero determinationem compensare faule est, ponanus
enim eg f eximpli causa f g lie ft otji C.  atque
ita C, hubi determinato alterntia tantum assumtanum, acepe vel
vel  ad est earum summa tantum deteminata erit. Caeterum
invemmus  + C ( a,
 habuimus +YM f ess _- d- rC
asi
tel  + ta + FC. (ergo 
de
V
ergo FF N + L a
r
Ergui =L a
a
ad
1
s
+2F ac +  a
e
a
qu
FXa
= 2F
2
le +Qoc
et enpi L eta + E
eFa) + tac ( t
L
V
. dFrC) 1s-
In pambola autem statim mani festum est, ipsam e s a esse.
ideoque utite est determinari ipsam e semper. ut universatis
2s Dos iniam
F. C ri
 + P. seu et
e
rc4
a
2
a
t e
sit calculus.
Ut autem possimus g  pro arbitrio
e
assumere, et facilior, fiat constinctio
tantum, opus est loco X sumi
ineque enim eam in rem ullo alio opus calculo separato
sed inde ingmodum pro panoibola tanc non X verum Y explicundus
quia ibi. C  at
D
 ex 47 explices   evanescent omnia inde
e pni seimer
cta in paribota.
s
quare hine 
sas 9. et B assumere pro arbitrio
Poatur virrol
est
6
d
eo ps
1.
213 Ponatur
et aestructione facta, restabit: 5 = Wd G2lo A +G+D. Prituo radius
circuli Braevius, loau A poterat poni XF  G+
sive ent. At
Et
3)
et radius circuli
n ce . a Y. , 1 a 10 
fietque sn-G 99 ( 29+9V. 1
Y
9u
gr
r