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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 225v, page id 00068201:0450
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Detecto jam enore sumatur n). 1.  fiat  12 y  Resumatur Calculus, cujus cujus
nondum spem abjicio: y  - 12 _)-  12 ro Multiplicando per y + m  per: 9-YY
Zn co+ b
X X 9 = 12 y - 12 y
+m) X - 1n. - 1m
tam y - 1y - 12 y - nn po
+ 12m3
F4, 144m) o termino
10 +3bCd + 3b co + b3
+12. + 12, b. 12 bV
=12m. - 12mal.
Eti bdm (2) a. (1, 4 tuem ex
sive m hm (8 = D 18. quo
aquatio impossibilis
l 48 36m p un +48
hot 3mp.  m Fa. ardioor
nV. X  inf. = 12m 69
Quae reducetur cd cubrcam hanc:
r3om. -tota 4 sic
n Bn rum +128
1qa 2n
 2,nam 1. n
6n +48 m- g2m -64
+ 12 m = 16)
tas m - 12
huc Id-Em + 48 m -8am 4y. =5 n
- 4 com + 962 - 168cd m - _ 96ad
4m tam gu. - 192 u +36m +.92m
5) - ani tam - 16 1 -6 n + 48m -7 2m - 64
quod poribile est, adeoque videtur tolci posse terminus ullims + secundum
b, 29b + ( 7 Ed (9b)
63 - 48C
   6v. Ergo m run . 16 ( r - 6 n + 18 n - 7 2m -64
u. aba wel. rrsd n
m- b m +b m er.
t2. +24.
ab eadem quadmtoratice
ad non immntabitur relatio
 sit quadrabus ab sm + p. nempe fin + 2 fe m + p.
et ejus cubus.
tu nipomalus vllimiaut dividi tur 
f m + 3 fP m + 3fP m + 2
4 m 4 1 m = 16 : sed quoniam ila divisio non ita facile procedit, et patim
si n + essem +p
er 0
nunes arbitrariae determinantur rallo
do sit radis  +Qsam, eius quadratum est:
am-
pae 60
Explicanda ita est  m, ut aadix quadratica ab eius
abo extrari possit:
-b4 m 3, 16 16m
+3, 6,2 m
-3414am
+1724 m
43, 262 am
ut extrahaluo Radis, ordinemus : am 3, 1612M (2, 9144m - 172q  m +3,614m + 3pS = 3, 25b Br 240gs
Debet ergo
C+m (m (m (B64
+3, bm
esse majoi quam 4 8m 436 m +150m + 23 diffecentia
scilicet, ideo, ut sciamus signum dandum parti majori, eorum
quae signo + vel + affecta sunt.
Ad duas ergo conditiones rem reduximus scilicet,
tum, st si   4Sm A M S4 mupsi quata = 8n + 36m + som f32 minar quam (Fbm (495 m (4) rem (46g
tum ut radix extracta sit justo major. spoi ut novissima subtrahenda inter extrahendum sint majora addendi
udo od .3. - b4 c: ani + nm - 16 , (4  13, Ba um 17  t. - , nrr  ani
yu, 6m  ani 
pad. a 6m = 48 n + y2m 764, Ym - 2, 6, 1 48m + 48, 18m + 4 2, AB, M  Nm 472, 72m
+256 Bpem H6
quae quantitas videtur reddi posse affirmativa
X 2 12. 6 m  (6, 2
divisibilisenim est per M, et numerm qui tunc fit solus potest
majoi itelligi omnibus potestatibus ipsius m
M = 64 127., 64 n
CM
+ 45184) 72, 72)
11 +36
et ser Jesqsut i
e (-12C2) 1ibC 464
+1e- 122, +. + n, 6
F. 416 9.
+12i. 4
+3256, 4 N.
+3,16, 16,... - 3, 16,2,42.
3, 10) m
Exinrn
nnh em
+Daegam ponerdo ZpC (t2)+
+36m. +36mb
-4m - 16. Ejus cubus
19G10.
ex hac quantitate
1 12 12 + 12 42, +B 1t 416
montatis siguis
12 12 + 1616
8m3 - 3, 12 m
=6, 12m + 19, 16, 6  8
+61x8m -13, 166, 253 m 228, 2
3, 12 256M (- 16, 1616
3 7 . 2= 10
12ps ... 12. 2bM
fos. xocsa in
226