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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 93v, page id 00068200:0188
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Martii 1678.
Im X + Imu X +
X ∞ PX + CN + dX + e
X + b 
ACx+ d
CX 
AbX) - BX + bc X + bdX + be f
Imo
c
X F I X. +
mp
nno
exemplum
Notabile specimeri quomod
aliquando non nihil duci
possit ex comparatione
saequationum
Xx + CX + dX F ex + be
. + be + bd.
X= + b X3 + CX + dX + e
X + a
X +bX + CX + N + ex
aequ
aequ.
+ a + ab.. + ac.. + ad. + ac
X + a
fX + g.X3 + h3 X + 1+X
tas +ag +ah tat
X + mx  + nX +8X + p X + 9 aequ. fX + B X + ) X + SX +
a aqu. m - b. aequ. n  C aequ. o d squ. p e aqu. + Ergo
c
Ergo b mb aequ +C et b equ.
d3
a aequ. m - b
baegu. n C - c+ aegu. n d- Cd aequ. n e= 4) b aequ. n’et c et
3
03= d3
p e
C aequ. 0d =8 aequ. 0= d’e
d’aequ.
pr- 04
PC e Tux Caqu. 4de- se+
Ero fiet:
0
15 10
2
10
o
C - pe + 90C = 9 n 
C aequ. 0e- d’+
e
414 18
g aequ.  1472 14t. H’aequ. d
et a aequ. β0 = 95 p14
P212
3412
d
+ h
aequ. 
Ergo fiet: h. 1.6 = sut l + Bsp -  9 10 (4
X + mX= + n X3 + o X + p X + 9 2 aequ 0.
- f X - β -7 - 5+ - 05
8 4 12 16
qu’e q0’epe-e
41218 857314 541 8
fD
4
b aequ. -
a aequ.  = 9 aequ.  = h equ. S - 17 aequ. 8
Ergo 9 aequ
0
44
d’aequ. pé e
10
et q a aqu. m 9-7n e+ 9uet
Et
sed rusus a aequ. 9
4
14
l
X X + Y X + (X + tx + v aequatio data
5
4 12
16
20
fiet: f aegu. m. B aequ. n - r. P’aequ. 8-5. S aequ. p t. D aequ. 9 - v.
Possunt ero m. n. 0. p. 9. sumi pro arbitrio. Quod suspectum, et jam video
y.
nihil hinc duci, quia una aequatio velut ab alia separata reso loitus
nec inventio ipsius quicquam confert ad inventionem ipsius e
+ b
b2X + bfx + b9
d
aequ. fX2 + 3X + h3X +
na