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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 3
# Folio 2v, page id 00068216:0004
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Eademarte dabitur modus aequationem datam attollendi ad Cbos
eam cujus eadix sit (ubus datae: hoc modo:
sit aequatio data: X = pX + gX  VX +5+ aequ. 0 eritque multiplicati
X8 + pX 1  p X
44
+p + p X +DpqX qX
X pX pX +paX +q X +qPX +YX rsx + 58
X + pX + p X ApgX +9X+ PYX + r6x + YsX +s
X - pX3 +gX = YX +s
X2 + pX + P X  piXD XrX +rBX + BX5 +sR+
-p - p Lp opa - pq -pose - pr - p) A - psoX X
19 +pa +pqs +pus + 96 +9r + qY +973st +qs
=B. - pr
et. it
Iuro d video hoc modo Jam non omnino procedere, sed adhuc aliud quiddam adhbendum
 sit equalio X + pX + 4, quam volumus attollere ad X. X. X
 x+ . Xa + pX + CX +dX + e
Cuqu. p 9
X _p X + 4 aequ.0
XB + PX + CX+ 1d2X3+ C =X
d’aqu. p pu pX p ape -pa3 - pex
e’aequ. 9
e aqu p d3 - pa t 9 X X
aequ.o
14 +P +C +9d tqe
X
Erpo a agu: P4+H ap. 4 ) laque fir: X + p X + p X +p 9 + 9
p +9
Ergo denique C) aequ. +94
p aequ. p
caqup 4
8 aqu et
a 1t e +
Claqu.  f- 453
vel flaequ 4er
btu.
pr
e
X + pX+ C X + d X + ek 1f X +9
X - pX + q X _B
X) + pX +CX + dX +C X + G X + gX
a’aquie +pgq
-p -p -pe -pd -pe  - p9x
19 +pq +9c +9 19e +95 t9g X
-B - pr - et - d37- -13 f - rf
Erugo e +pq9- pr  paYq aequ- puast r  + pe tepi  pr p
Ergo C aequ pq +q+ pY, pq p 9 +p r = 4r, pr pe
2pq r- qu  p 2 + p g
C’aequ. p- q. e aequ. pdgC + pr. faegu p d= pgc + p73 - Gd + p r 9r3
gipr + 94 Ergo e+ aequ pd - p g. + gt + p. V3
faequ. p d3 - p q + pqt p r3 - 9d3 (+ pe r7 - g r3
daqu prd
I
seu ee C 8aqu. PYd-pd
rursus g g aequ.  va= paY+ qV Dr6 - p9d + p 9= q 2p9 7 9 d + 93
Ergo prd- par +4p qr+ 2p Y aequ 2paerd3 +r + 2p qN- p 9d + p 9- pgtdA.
Ergo d’aequ. 29er3 + 2p p r6 + p h 46- p9 + 4 + p  aer- a pi gtr.. rp 6
pr3 - 2pqr + p q- g
Papi f
Eupe ps. qn