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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 10v, page id 00068220:0020
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Ia omisso secundo termino calculus breviter
erit talis: X +c X + dX + e aeq. 0.
scribamus X + m aequanX + p fiet:
X  +2 X + mn aego nn XX + 2n p X + pp
seu X+ + 2m X L En p X + mpr  aeq. 0. comparanda datae
=nn
= pp
fit: m aequ ZC - 2 nn et qu. mmaequ  Cc - = CMna L M
ace
e
rursus p aequ -d: 2n et pp aequ dd: 4 nn
denique nm - pp aequ. e. ergo fint n - 2C n + ce nn aequ dd
+ =4e..
et fiet XX = n X + +C aequ. 0.
inn
d. 2h
pro n punatur Y + 2C fiet
n’aequ. y +32C y + 3. 2ccy + 8 c3
7
= 2Cn squi  = 2C y8 v. 2C. 4 y - 1c. 4c1
4 ccn
oc y +cc. 2
ac
. 24c. 2C
= Lcc y +Z Cd aeq. 0.
-4C
-8 ce
- dd
Itaque proposita aequatione quadrato quadratica generalis
secundo termino caren,_ X  + C N + dx + e aeg. 0.
reducetur ad hanc quadralieam: XX yC X +  LC
seu X X + Sy+zC X + sC
- + y
e
et  y
Pago
+ d2syrC
dusg
inter vemiente hac cubica secundo termino carente;
Y X - ZCC Y +Z C
-4C. -8 ce
-dd
)aeq. 0.
C
si XX + pX aequ. q fit: X aequ - p + 2 q +  pp Ergo hoc laco
X aequ Z Ly+ = c + s (.9 (= 49) + d, = + y (+ F B
  42ty+3
ae
-dd
d aequ y3 X
seu
24.
+3e2
c
8 - 24 + 1B l aq. 27
27
27