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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 3r, page id 00068231:0005
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inquirendum est an posito
X aequ + Y m +
In + S + n sp
componendo ex radice secundi et terti gradus,
et data aequatione X X aX + bx + CX + dX + C ag.0
prior
possit cede irnationalis illa exaltata
ad sextum gradum, ubi omnes omnis imalio
nalitas tolli potest (nam non nisi sex, habet
valores possibiles) comparari cum posterioni
et utile erit posteriorem nempedatam trans
formari prius in aliam, ut facilius desideratum
olitineamus.
proaequatione quinti gradus liceretnre
scribere quid si X componamus ex radice
tertii et ex radice quarti gradus. assurgeretur
ad gradum 
mum
l
forent autem arbitrariae
literae tot quot oefficientes prim tertii gradus
scilicet tres, et quarti qualuor, facit 7. dement
de his una, quia simul debent facere o
quia ecundus terminus in data e est debent
ecundus terminus certiae per 3 divisque, et opartae
per a ervisus facere 0. ut scilicel mnlea
irat rationalis sit in radice, quia secundus
erminus in data aequatione deest. Habem
ergo sex radicsarbitrarias. Data autem.
mum
attollenda erit ad 12 gradum etiam
per sex arbitrarias habemus ergo 12
arbitiarias tot quot sunt termini gradus.
et fut succedere posset comparatio ubi compa
ratio forte nos ducet ad stum gradum