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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 16r, page id 00068231:0031
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Radicem aequationis
Surdesolidae
subicae generalis puto
 Aaequ. 
1+ Im + In +p
quemadmodum cubicae radix est
X aequ h + et
M.
in surpesolida,
21
praeterea puto apsas quantitates C, m, n, p
omna
esse q
 radices alicuius aequationis biqua–
draticae seu proxime inferioris surdes.
lida, quemadmodum in Cabica quantita
omne
les l. m. sunt dua radices alicujus
aequationis quadralice proxime inferioris
cubica nempe quadratica. Ac  si illa
aequatio proxime inferrior est rationalis
uti arbitior erit summa omnium
l4 m +n+p et summa omnium Im
+ In + lp + mna mp +np
et
er  summa omnium luaa lmp
lup + map.
et denique ipsa Imnp
quantitates rationales, nempe coefficien
les aequationis biquadraticae servientis
ad ipsas inveniendas
Et quidem demonstrari potest, radicem
aequationis surdesolidae posse explicari per
n + Yl+. Sm + In + p aequ X. Nam
tollantur irrationales ex hac aequatione
e