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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 25v, page id 00068033:0050
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irculi vel
213) 16) A 1B sB
c
AB aqu. a.
AC est dat
3C aequ.
et. V sint numeri
ordinata figura. Quod si tam quam
figurae hujus summa pendet a quadratura
Hy perbola,
circuli si Va +Y est aqualis
a Hyperbolae si r- a est aequalis datae
in eere
tame
1
s
Aliis omnibus lasibus
figura est quadrabitis, ad est sive Q et v simu
absolute
bie interuter tantum sit numerus par.
Sono
cum usdem
usi sunt
si
abulla pro
Quod tunc
duae aliae
poterimus
modo
plane interpolationibus quibus
etaque hoc solo discrimme
pro circulo et Hyperbolae assumendae
Ligurae altioris gradus, hinae pronuntiare
entraliter
2:
eu vi
s
autem esit ciu quadratricem
per plam
d
Valtisius et Mengolus condi possit
2
se
figuram cujus ordinata
emper quadrati posse
modo tunct cu numerqus
cum
et V sint semper rationa leset modlo non est integer
E
eF
2
8.
rationalis
esse integrum:
altemtia
hauu horum numerorum
datur
sit numerus
etiam exprimi
Videamus primum
et ita sempel
lonendo
Utile
Generalitem
vea
opraeterea adjecis, ed arsis foret destruere eos
. aequ.... quaeritur 2. forte eeium effici potest
ope arbirariarum utatur omnia per im site e
1 eguL LZ. quaeliur=
et V.
pa
L
Tatculus ad isam hyperbolam ut ex  bato
habebimus 2. Applicandus hic
docu Z. Eltebitur nndogantemm vis
impares
e generalisime:
cum hujusmodi.  temimos qui datur solatio per aequationem logunthin
Ll.
11.