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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 7v, page id 00068217:0014
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ab abi ac +bc
ab) a
X aq at b
(x per X 2 aqu = 1 aqu =
per XH. fit _ 2oqu L 1 aqu 2
X, 4b. 21 aequ. 3.
X
ab
4 aequ 3. Slrgu +3. naqu 2, 2t
X: 5 aequ. 4 41 aqu 31 +, 4
21+3 +3
21 73
32 aequ 22 + 31
2Z +2,2
4, 3
X 41 aequ5 32 aequ. - 41. unde absurda
25
aequatio destuncta enim 3.
sit enim 4, 3 ng  3,3.
cui malo facile fuisset remedium si non fuisset
destructa 3. Hac ut impedhatur necesse est
sutrue cognitas intervenire comporationi at
quomodo intervenient? Ecce optimam et
certam rationem, aequationem datam: sed
quae auget prolixtatem, iqubique faciendae
quae libet forma inferiores g. initio ipsi
X ascribemus 2a + 1 ab +..- a. +.. et t
praeteren aequationem datam: X + p∞ + qX - Y
ex altabimus per arbitrariam X-pX + ex +F
ita horum ope literis incognitis adjicientur valores
cogniti, item no multiplicare cubihariam licebit
ex coni istis terminis producta facere, partem
scrbendo sine explicatione literae, X, partim literamX
exclicando
si habeamus siaet. P923 possums variomodo resolvere in partes, vy. unvu partem penitus
explicubimus, in altera tantum X, in tertra tantum X. in quarta nihic, ita tres arbitrarias lucrubimum
X +aX 2a X 3a X
nab 21ab siab
1 B
ea
o
+aa
22 a
xC q aqu
et ab
qu.0
4a X 5a
2246
+
v
es
Mab
na
1a
a
22436
+5 a
41
Ma
32a
es
31a 
videndum an non brevior sit calculus, si imtro explicando atum datam aequationem formulas in
X +pX + qx+
X + F, q
ea comprehensas irationales tandium musiplicemus  tollatur irrasionalitus quo facto
curcta erunl absoluta. Porro hoc fieri  patet ex regulus generali steimi, et Bonbelli et
aliorum, qui quolunque cirationales ita mulliplicate docent si scilicet sint ejusdem gradus
ut plodectus fiat rationalis
astrc vit
s