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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 23
# Folio 5r, page id 00068236:0009
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fiet:  abn
tvv)
- nv 3b.
in
sonendo iam + V
a aequ. vb +np b
fiet: +ps
= vb
nx quod non procedit
13
sed ponendo a cego vb +b fict. Fu )b = io3 et sublatis tollendis nVB+VB -n
nv
+vr
=n
debet ergo nv + 1.  - n esse po et nvv + vD = n 10
unde exhis limitibus inveniri debet valor ipsius n, quippe integer;
. et inp vv debet
1-vV
autem latere enor in calculo foret enim alioqui n aliqua fractio.
Resumamus. Primum quotienlem l constat esse aequ. V. per aequ. 3.
singamus
Dquaeritur m. est autem +1 + mD b pima. poms a aequ vb
fiet: + + m p inv quod per se patet nec quicquam docet; ponamus 
a aequ vb +b fiet +1 + mv p mv+ m. quod fieri non potest
Rursus sumatur m+1. loco m fiet 1+ mo + vp mv + v +m F
firi 0 p1. quod absurdum est. Itaque ipsa hujus ratiocinii funda
menta nondum satis constitui Utique manifestum est tmobpima
Unde a r 1+ mv b supra a p. vb. Ergo  F) in + x. quod per se patet. A
rusus im + 1a H 1+ mo+o b. Ergo in ap 1 + mv +v. supra ar, vib b
n
v+ 1
m+ 1
Ergo Y +1  + V, quod etiam per se patet unde video hinc
nihil duci redeundumque esse ad ipsam aequationem fundamentalem.
im +1
Habebamus per aequ. B aequ on +a- b
va
vbb + ab
per aequ. 9. aa equ DD + vbb + b vV +
bb
jam porro examinemus.
aa
aa
aa pronova divisione Itaque aequationem
vbb + ab
C13
1. multiplicemus per bb. fiet:  b + vaa b3 aequ. a bb  B
Lb
substituatur onter ex aequ. t fier: b5 + va Marab aequ ae bb.
ergo  q aa aequ a bb + vua maltiplicetm aequ. 15 per B. fier:
per V fici  a vbb + a b aequi b  vaa b) + a- ab
a6b (va B3)
va
Ergo et B b cp. pro b ponatur b bb et pro B valit ex aequ. 1. fiet:
a bb et pro  t vaa b ex aequ. 1. valor ipsius B3. frei.
(16
b+ va = Wvab a qu abb. Et multiplicando omnia per v.
vel retinendo aequo 15 fie et efficiendo ut nanciscamur
in ea v bb nab nam oqu. vel retinendo aequ. 15.
et efficiendo ut nanciscamur in ea vbb + ab. fiet
mulliplicamus prius aequ. 1 per v. fiet Vb + vvaa b aequ. vab
addamus utrobique at babum purte
et valelem a- b a ab alteratiet
per aequ
va
a5- ba
ab as 
et quia unus in est terminus purus. ideo fiet: aa aequ. va rbb tab + b’ a - v b- v ab
varbl vbbab
Ex aequ. 16. ita procedemus: vb vva ab ab aequ ae vbb (v al b + va b
ergo aa aego av vbligab + a vbb = va Bbb - vl5 - r2 a rbb
vnas
a vbb +ab
b
+ a = v b insto 
=m a +mb B
in a.
 Isomi
ph aqu5