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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 34v, page id 00068010:0068
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Ceent coffetatia eq Et ita por
pergi potest et peinde et an per singulas
dosionis
partes dle diverse ordinemus t an
vel dividendo primum .X +. e+ inXC
et democ pergendo ad reliqua an per
totam formulam ptrimum secundum
de dividamus etc. prior modus praete
da cum satis arbitrariarcm. Iriaque
len
posterior methodu videtur accommoda
tior diophanteis.
sit XGCE X= Cx - 1. aequ. 0 quae
aequatio resolvenda in numeris assumatur titera
alia aequatio simplex: X +  + c et per
hanc dividatur, manebit residuum
Hhoc residuum videtur dividi posse per
vatorem ipsius e. Et haec test via brevi
sed tamen ad huc demonscranda:
X = Cx -1 + X - e =C
I
Sed hihil hinc lucramum
quia patet nihil aliud
foret C quam =X,
posito C+CC = 1 aequ. 0
unde ut obiter dicam patet si X = CX - 1 equ.o
impossib. in nuuceris etiam X + CX = 1
fore imposibirem in numeris