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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 277v, page id 00068201:0554
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pt 3
o
quia ibe nono ilius radix occurrit quam s6 debetergo esse 48 1 p 4 146 +25
0, 4 4. 
Erit ergo
s B (6 44
minor
157
Y(46 major quam
100
adeoque majos quam
Si poneremus esse 2, fieret:
48, = H 423 +25
Sive 32 H 6 + 25 pr 31. Ca an
Sed ut exactis appo securius agamus, ponamus
esse
4815
1670
p
1010
 debet esse
Sisi
8 N 4C 8 + 25
sive 30 p 6= + 25. quod est falsum
ponamus ergo 48100  4 157 +25
157
100
 +4800,00 H 4, 157, 157 +25,15700
15 7 quod est falsum
2
785
s
Utarum ergo alia Hypothesi et
514 faciamus:
3925)6(16, 2) m t - 36, (16, 7) m - 28, 144 570
et 
suc m = 6m + 36
9 + 6
41 5
4() Codu
sa et m e _ 3 + Sis, et m 3
et mpi 3 t = 13 + sis
restat:
=m = 24 n + 288 M  quae summa deber
esse quantitas affirmatira, ponendo ergo n isse quantitatem
uum, seu , dividendo omnia per m, fiet:
m - 24m + 288, sive numerus 288
sive 2889  671,   Quod succedit, nam
S. si restitaemus m. fiet:
si
7252
288 +(3+M = A82e5
+(2
+ 2 64
424. 243f
+Nis
=9 +es
 +288
+ 288
16
(4,2) E2
sed nec hoc succedit
Sed quoniam reatumenta An forte licebid facene +28 m 1) 6, 16. E) m et m 24
e et m r + V24., fret: det et
E
=m - 6m +24m = 6 quantitas attirmativa adeoque ponendo: m - 124
fiet: 2424 - 144 - 24 (A 24 = 6. nec hoc sucedit.
et
24
a
s
ne
F9
96
56)
s
tive 2887
4
1t  3+ Sis (- 9
6515
+9 f6d
3
sed
major
mino
+3,4