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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 269r, page id 00068194:0537
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dividi non potest: attanem evenire potest, ut qa formula in quame nlla
in explicabilis tive irationalis per aliquam irrationalem dividi possit. Oinquirendum est, ee igituo
in rem illam, valde magni monenti, quibus modis scilicet ductu irrationalium in seinvicem omnis
crrationalitas tollatur; hac re ad pe pestionem producta habebuntur omnium aequationum
radicesirrationales; et forte effici poterit, ut omnes aequationes rerdantur purae. Hoc Et hoc
est magnum quod ostat rei maralylicae deideratum.
ed ut hoc appareat sed hoc facle apparebit,
ces cuttenda est quoque docirina si excutiamus quibus modis contingere possit formicilis in set vicem
ductis, ub terarum quarundam non nisi poreatia quaedam p.g. cubica mecate aud cubicae mitte
aX + la 1 + f  cat sea + 5Jhia
illud hic incommodum video, quod intelligi potest possunt plurs et diversae inter se inationales, adque sine numero
taute accessus praestare possit, quod non postant
it auter appartat an
paucee. Hoc taleor sic salis difficile esse; Quoniam autem profecto comnis illa novarum literarum
se ivicem accumulatiae, effectum praestet. Ccori potest fingendo formulam esre aequationem et redacet
seu taldendo radices, statim i appaerebit,s quaenam literae  aliquas mutationes praestent VEdendum
etiam au liceat fractiones miseere radicibus
n
uo
 D
rE 6 cardatea 4 f 1garha sal
+n S0 pa Ga FF. +5 10 lae q pasad
+ B 1∞ Aa + na Sa 1 E  Pa r ag a
5 + 51
.
c X + bc
et Ponendo
bF, - C. d. fier: berbdredu =C. cd (1d. d
X
Cogitundum jaim quibus modis, c. et d
+
se
+-
0 + 2
+9b + 2) N +2) 7
17b + 75 + 7 2
cb + c 8
 Eodenqu mob ponenus
ila
m
brationules aut ex irrationetibus com
positae intelligi possint,ut aequatio
sta romen mantat lationalis
-
+
c
vae aquao froducta nullam quantitatem mationab
contraere deba, ideoque se N, 1, 7, 2), 0,  debent
oscendere semper ad cubum
Termino 2d0, eit: E
9, 7, N  gonemus pd
poteis ut o faciant addere, c. vel b, ns , vel duos vel omnus
interim fache. espie ipsis