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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [76]v, page id 00066634:0152
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auferatur
aqua
addat aequalio arbitraria
ducta in ,
fiet C aequatio ad
sectionem Comeam
indefinitam.
Satius est huc quoque
explicare 4l
Bstatim 492
ita
habetur et facile
quoque habentur e. et g.
Aequvationi prima interpretatione inventae.
erm X F7 +
Bqu.
conferatur aequationi ra sectionem
C..
+rm 1.
a
V
dmeo
-β1 1..
conisam datam.
X +dX 1 +7 V
+e
+rc
Exhis literis, dantur r. t. l. m. n. p., et ut mox ostendam e. restant quaerende. β.g. d. C
quem in finem et quatuor Aequationes collatitiae habentur.
n
rul -2Fn
qr
inverta 9. habetur et
. Ergo
q
lrg
1+
L+obg
B
Cx
p
. item
trml-ern deg sive
ge
Buta +e, sie g tantori
β... quare et per eas quae restant E aequationes
etiam d et c, habentur Nam dFrm -βg
Restat ut ostendamus, quomodo 
nabitur. Nimirum ponatur Xi V
et C1 rp
fiet e DV X +XAV du  ad-
sive
et sublatis quae se destruunt, et cognito in alterum aequationis prai examinandae latus translato, ?fiet:
2
tF V
2
+2
3
+YC) inqua aequatione nova uteterminum cognitum Raterum destru–
as
Et
q
ut
e et pro f2
+22 AeZ u+ x
Nunc ergo ut termini cogniti orti, et priores se mutuo
et aequatio prodibit v2 =Y yv
datam 2ax +a-
unde e
+
C
bn
+e7 +e + rc+d
t est p. ri- d
ZB a critgitem 4 ham +e 2a.
per +RA4 L oc, et .
crp + aq (490)+  (4 e9 + qe
+ 4
 quae est ut sit ad sectionem Conicari
ideo erit:
laciamus
V + eV, habbi
destmant, fiet. = M2
+27 (37.3
4+ e 4a. quae ut jungatur priori +
XX
)  re
a 
Habemus ergo valorem ipsius, habemu esictionis
In ea
n Heeriera d
ve +que 24
a
442
F. ( ideoque C p243+ 2+ nad
Nunc it data sectio.
conica descripta intelligatur. Pum. Q y- M, e v(X +d
Et jam supra in circulo y G + 4
ego Z H9+G-n.
4
, erit Ve 5- F +d. C et quia
E
s.
pe
um
iius
je..
i lac ac in venire valorem bsolutum
lincarum d. 9. 16. c. . β  quo
se heda sequenti.
n
1s
 cts
1a 
naeoet
re