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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 20v, page id 00068073:0040
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d
gratia quaero:
A
1
 XtIP
 X + 1
xt
XH X= 1
s
a
=X +1 pC-.
++X+I pt
X =1
Ergo.s.
X
el- = s
X=1l. X -1
Haec tamen
X+I
X+I
omnia consistunt in simplici
resplutione alicujus ordinatae in alias simpliae
A +t le
L + c
Xta X+b
pone c7,8- 1. fiet
a i+c X + b.
b-a
e
ores
nac
X + bX + ab
+ a X
X+ bXFab quae proinde habetur
ta
ex quadiatura hyperbolae. Hra omnes
haben possent ex quad. Hyp. praeter 
X + b2
quod scimus ex quad. Circuli Eodem modo, in omnib
rationalibus.
tlia
opinor non difficili calcuo
ostendendi
inveniemus modum Omnes curvas rationales
pendere ex quadratura circuli Hyperboleo.
Jam omnes curvaeitationales reduci
possunt ad rationusles aequipollentes mea
mel lodo transmulatoria cum diophran
Jea combinata,, saltem enim
pe
se non licebiticebit addere alia arbi
taria quadrabili, seu jam reducibili ad ratio-
nalem