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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 120r, page id 00068200:0241
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nam aequatio 
ergo 8+Z, 1 f + 2CA + X, fier c r, gu qu
sive X B E C A) + fX + 2Za
22
 ct qu
y qu
s et erit X -Z N 2  + 1
Y, erit ergo X aequalis quadrato cuidam diviso
9 Ergo poncnor X 1 Z, fit 4Z 1XF 2Z
per numerum latere quadrati minorem, duplicatum, q X + +Z, +d 14 7
Cin =2+4 22 34 +42 +6Z + 4(7 +
ergo e+2527 +74
Zpabit 52 C 2
2a2
jamt X
aequalis quadcato. Tantum ergo ponemus e +L
Z +272 + X
 et breo in aequatione sub , possumus sumere e +27
21 +2
vel e + 72
e p X
ea
sive 2X n + n +7V  0, et X B =  - 3 male quaerenda est
potius e et explicanda X, fiet e +72 p
a
Habemus ergo vel possumus ponere
Nv
- 5h
fret. Bs
at X
2M
+ E.  C
a
sive
 ergo C
+ 29) + 1V
yu x0
27
per su paulo ante dicta
ponendoque, Ze =Y et ABD F=
+ e 5 H 2Z 1p 8
t
proo e
+.
 sedita non obtinebimm
intentum, cum 2 plane evanesut
nisi dicamus tunc E sum posse
pro arbitrio caeteraque omnia
resumemus ergo potus  aequationem 2,, ponemusque Z B es e 11
fier A + et 1,72
glea
in aequatione
1)
fiet  e + 22
+
ese e
R L
ergo et + q0 
 F
+ 2C1X + 2
c2C
+271 + +2
+ 2Z + _ 
ponendoque A 
ponamus AB
1Z B
1 2 1 vel e = 27e + y2 10 sive C 1, Z.
ZV + 272
sed i et absurva quod secundus terminus
e
it
+ 30
2
eritue B4+
= Da
2D
2X
erunt e 5 X f, Z. Male. venitur ad impossibilia
Metis. 5 + 3
3
n
z
+ +
dF+
Nex id utique sit ponendo e. Z. A, aequalia
ergo X d. Unde vera quidem sequentur
fierei p o. Rectus ergo sic ponamus X esse
ponamus ep, T et 2A d, fier:
(24
+I2
tantum ergo ppus +Z aequari quadeato
sive
8) I
+ D 1I
+72
et + 2 (D7 + D
L1 X
4- D
 
02, v (D
+
2I
B sin