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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 39r, page id 00068197:0077
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X
Xi
ab X + aaC) Summari rationaliter debe
3
X = m+ 3mmor gy + 3aamnny + adn
ab X = abmus + 2 abmpyy + ab m ppy
+ aabr yy + 2. aabn p 2 + aubripp
aaC = aa CY + 34aC p yy + 3aa c pp y + aac p
Tollatur terminus summus, et fiet m F abm + aac = 0, et habebitur M
jam divicatur reliquum Numerator per coefficientem termini secundi, et fiet:
zaamnn+ abmpp + 2 cabnp
3aaCPP
zamm n + 2 ab m p
an taabnpB + aac p)
3ammn + 2ab mp
na b n + 3aaC p
aabn 3aac p
quod dividatur per y+ P et videatur an effici possit ut succedat divisco
compendio sit gu + qy + at dividenda per y+
seu
et
+
1y + qy + ah
prodibit quotiens y + g, et quotens pp-gp + an fiet = 0
Ergo fiet pp -
seu
Zammn
aa Cn pP
(= 2aabn pP
3aaC p
aemp
 Zaac p
+aabnpp) + aaCp
3aam nn + abmpp + 2aabnp
a n = 3aannmp + 3 an mmpp
fiit an-
et erit an-
MP
+3aapp
zammn. + 2abmp
aabn 3aac p
+(2 abmp3 - 3aa mnnp + an = C
1
= - p 1 (m3 + ab m + aaC)
MP =
nam fieret ∞ m
et erit y
sit X =My t an
+pu
Byr3)
Et A Faabu s aa cP
Sampntrabmo
aabr zaa cp
M.
= = m p = abm p.
p
ues
m V + mp
L quod nonlices