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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 2
# Folio 3v, page id 00067997:0006
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superest tantum, ut videamus, an ita veros nancisci liceat numeros, quorum
summa quadretorum sit 3.
Peramus b Utergo numeri X et Y
sint reales, id est nihilo majores minores ve; ponetur ponam b p1. Spp. 
ap3. 
16
et h 5.
e
et CH - 8.
Et A. +2 + 4. 1.
ag u
Et ex 15 +348.
y A2XL + SI B idctu yp + 1 - X. Ergo
 e+ s
 Axl n, Sl XI. Exgo 3xl  Quod est ontra intentum
(59)
Quare ut xerta ratione detegamus an non alios valores mancisci hac
methodo liceat
ex ay. (57)
fier (58)
ep
et
literarum explicationem absolvamus
Sab
BbF. 
A  (+ FYI + aβ
+fYI + aβI,
Acq. (58) erit
Quo valore iiserto in Aequatione 45,
nB
nv 1
ne
+5VI+ ap +VaC ((osep
u bγl.
-
dodc
163
ni
b fpt
xolb
64) A id   idem g pi b X
Ergo A p - b
 Ba sive C e
pba-
21b
A. (63)-
25
+3
+o
16 A (16
5 y
160
Ergo (65) B5 X (esp t k et b
4 8r 2 13
o
dide
5
A e
fi.
Ergo
Quod erat facientom.
(66) Ergo bf p- el 1iu Ergo s (  59. euit (() bY fiet
Aequatio. (67) - L - bf 1 SYI+ a BI + b a B sive
n
(Y) F f LAB,
(29L 1u F b2
= bVDa.
2V H NY +a B, L12.. E
l3.
sive poti imaginaria
quae impossibilis est aequatio
O+
l
at
Praealara calculi exitu, quoniam et Aequatio 36. sive 40.
minginntia est s
ilum superes, ut exemplo seccatum est
Ego parlo ante, dum b assumsimus pro arbitiio p 1. meus enim in
nostra potestate est determinare b. u ex 65.66. pat et uo sd
per accident
consensere tamen numeri, quia scilicet, differentia inter radicem
-8 et de 40 patulla est
fuit
hc
a
2 an vero
zicer +BOq e
Y seit A ac prperinde
sive y fabVXts VI aBl baBl
et tA.
ba elces o tebe tel
e+ c.
FH A BNVHIt et b,2 tiet
Conamus jam f
fiet X 1 6
X 
eo
al Ce
td
+x + el sue yH 5 Pb, fact Bavte-
+e
sive X (66)
es
la
N