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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 238v, page id 00068194:0476
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patet etiam secorre coc modo  istas
arbitranas ad collendos omnes terminos in
1c
5
28
quibus reperiuntur à, vel à vel a vel a
raos
Hac methodo per calculos formularum
ciri potestam Methodus ista exitum recipiat
taque ad demonstrandam exitus possibilitatem aut
im possibilitatem, oportet tantum ivestigare
numeros soularum formularu forparum in quovis
gradu, pro numero literarum. Quod combinatorium est,
in
onde demonstratio eruetur
Calculemus numeriam:   pro grdu
forma a. po 2do sunt duae a ab pro tectio sunit pro una litera 1
nempe pro duabus et quolcunque 2, nempe a et ab. per Etro sunt pro una litera
3
i
 8
1 nempe a, pro duabus ea, ab pro tribus seu quolcunue (3, nempe a ab, ab
MM quatuor sunt pro una litera 1, a; pro duabus sunt a, ab, ab; pro
ribus eaedem et praeterea abc, nempe 4; pro quatuor eadem et proterent
caba, abcd, in summa 6.
in
In quinto a. a b. ab) abc abc abed ) abede
6
Le au
fepto a ab ab ab) abc abc
Incidit calculi contractio pro comparaivne adhibendo divisionem
147
mpe exciletur aequatu ex a + in a a b er exabu a
dm a + ab etc. et in porro, smodo supras praesciipto
10
FEE haec aequatio divitatur per datam a. +ab etc. ex da
eti
EF
21
ie
E
pilis
exL
e
ex plicata factam. Quads Et quotiens non potest ascendere uttra
+ ab erc  qui Quoliens debet fieri nihilo aequalis
erum puto intrne hoc quidem sucedere inter divi
dendum per plures literas simul, nisi quaedam tolla
eautur. Et hoec dividendi Methodus nondum exculla
id etiam hic nonnihit me haerere facit, quod non
e videtur methodus haec distinguere utrum data aequao
rcundo termino adeoque parte rationali careat vel non
Quid si ergo sic Aequatio X+bX composcta cum ab quade 
. cum altimo Tetraiuo dabit X +.. X +..
cullipicetur hocperces C&X  i X erC. et assumento valaes
2
n
+al
Ecit Mulliplicetu hoc per
ina a b = X.. C = C.. tuac ... -) mulciit reta ne constans ex meris multiplicetur per
menus X.. et simiter a + ab
ne
Et
1o
.2
C