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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 191v, page id 00068200:0384
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nurimum calculi destruet. praeterquam quod aliae ad huc supernum
meraria in ipsis D et E latent, ut hac quidem arte, si qua ulla
alia, pervendri posse videatur ad rem finstra hactenus optatam, ope Analyseos
invemendi constructiones breves e elegantes, quod unam hactenus Geometrae vulgares
poterant objicare acti novae.
Resumea ergo: aequatione
e2 8)
tollatur terminus secundus, sid est sin aequatione factitia
efiab s. V. e
4D
Ex du la siat y B ud Z = A
aequalio data: 14 +l
prov substituto ers malore, fiet:
60. R.
32
ut
est autem
e an 1
2282  ya 48V7 169
e
L
arteo
14 2
6a
03 640 26C
40
qv
1602
3 52s..
100
 603
6403
13 4D2D..
16020
26H.
quoque sublevamentum
+ an
1674
25604
= 583C2
640 C
190
160
+a
(+278
(+ ∞2
+5~.. 8 -81 a. oam
Fare
+61
∞3
tam.
+ore
+3.
m-
a. +av 
+an .
tu
ergo
62
= anl
+ a2p
Omo superest aliud eredium postumus enim ud eo utilius est, quod priori
10
jungi potest, dicet enim efficere, ut aequatio quaelibet terminum aliquem
habeat datium, ita tamen ut non ideo minus primus sit purus, et secundus
absit; quae ad hunc quidem usum applicuit nemo. Exempli causa volo efficere ut
tertip
quactitas cognita tertus termini aequationis, datae, sit eadem cuructermus
eognita eut pro ognita, supposita aequationis factitiae. Nimorum incognita
datae sit W, facitioe fuctitiae y.F
SF 74
Pvis  + et.
ise
ergo  entAbl
Et fiat
W BZ
1602 = 3 C2D 12
+0 0
I e. estb Et hoc supposito ipsius
svalore tertius terminus utrobiue erit idem
sed ut valor. pcrum
et  hbat (neque enim alle. opinor quasi
meggnitus planem indetepatu quaeri eut quinse Pane ind arbitrari ssumi potest
ddeo restituenda est magnita M. V, nempe M  V 1 W DKZH, 0+ 26
megu
40
redibit aequatio factitia prima initialis eodemue valoe in data ultime poducta
necionisi huae repabun aequationes collatitiae
aequationem propositam factitiam productam cujus in cognita.
ecudem ddate concae sectionis, quae scilicet trea terminos habet cum data communes
d enim negearinom potest ac proinde et datam si per collationem termini
sunet mne. quidem sut protionba lem otculi
ctus uta futum o illa subsittis ranta tionum (denitae forte termini ejusdem productione
dn construi opecirculi
ovitemus
locor  substituto vatores et inde facta nooa valies ipserum .. S indagarios deberent
fuisset unitilis mitaque credo hac reductione parcui posse, suifficit enim dicere
essus
Unde habebium:
et divisis omnibus per se + terminus tertius
fier: +61 -3 ( am 6 24
fu
424 18
9
un data