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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [76]r, page id 00066634:0151
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construeu
s
saru aepatio
e
a
2
Et aequatio ad sectionem conicam datam est.
d
p3
jam Aequatio construenda ess
2 1
+ bm X
c1
1
=b9 1.
+CV
v
1. -bil
Agraion
 tad1
a
+ Bl ni
ad Bla an  mmet mecd  s e m 
Nacortimpur m p. p 10 in.
+ In  t
 4 nog
Vc+
m
1s T ++) 1. +e Y
C v iin
naturtic
fr
Ex lineis autem _ b m. lp E; C. dater sunt quaeruntur vero g. B. d. C.
t
o
quae quatuor incognitae, ope quatuor aequationum collatitiarum, ita invenientur
2
2 1c e
g  +ad frini B e
qitC+ b.
qu et
vie
nl +267
192
a
292
p 
Y sie
.
d
Resumatur tantum calculus erroris vitandi causa:
Aequalio data 4 dimensionum est.
4t
a
lv
=(V
900
2
v
- c.
+rn V Arp 10.
Fiat rp
gX
rnV2  N gX a gl XY + jar
d
2
2 Omnibus a divisis perta rmus X  rly, Caelerairn
dend sublatisque quae se destruunt,
quae primae lineuae superstant. Explicetur +∞E habebimus: X2
euplicato clusum, subsiteai in ejus 
circulo
locum circulis 
inclusa inter 2 lineolas. tandemque a semndo subtrahatur
aquatio arbitraria, seu quae intra lineolam. producto
caterasque
un
ac proinde e constructio
+ImV
+rn  + rp ( Oc
tur hic valor ipsius y in ejus locum fiet: ya
lyay2
r9l
+
 +b16n L 2t
nemaris
Q: et c  b2P
Y. 21
q2
Omnium ergo incognitarum habetur determinatio
problematis
sive ya yr
+ ly V2
N
 a proinde
BgW. B  dt a
ht erg valae ipsius g. quare et vator ipsius β3
er
n aequatio erit ad circubum. Hujus circuli ut radium inveniam
e
+ b3
=β n aen m. 1d a D. 1
r. - nee 7 XY. 2et
atgn
aX 
Et aequalio ad sectionem Conicam datam, est:
Ex. 
v.
in a
X7 5
ines rectas ad constructionem nesessarias, ponatur
ex 1Fet aquatio si ri3
8y
(4
s
2
+ rt
1b
 et pojum
item fret:
e
Es
b mutetur
in
Y
aequatius arbitario
ma