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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 34r, page id 00068022:0067
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aultimis Terminis
 eβ - fBAa Ex prima collatititus
l
+a fga + 4a ebg + 2ef β + 2a f
Ba
e
a
seu ultimie
Ex secunda collatistr
s
B ar
2aef( + 202(3 - 3f94- 4eβ9a - 2fBa
C’a
v
 
=8ga  + 609 a
2
 (Dβ4
10
3+
29a
 ne enultims
i vertra
collatitia collatis
Jam ex secundis collatis, fier:
(5) Be 4+ 4ac f 4e ) - 16 fga - 8e (39 - 4 f 34
16
et destructis destruendis, asque ordinando
divisis omnibus per β, atque rotdimatdo
fier.
etga +16
9B4
- 89a e + 6D9 a  169 at +165926 +45( a
+
2
(4aeq2a F ae C+ 2C (3- 8 fga d e βga-9 et (3  fB a
A
) (+efβa)  4 e β3
 ib g a  + 165ga + 4 f2βa
sive e p, + 4ga + 16g ae + 1659a + 45 à
st
et extfacta lavile:
et pro g substitmendo ejus vatorem, item pro g uigr: + + 2ef
Sed jam video non fuisse ad extrahendam radicem accedendum aute
explicatam 9, quia in ea est e, resumenda ergo est aequatio quinta
et in ea explicenda g et gr, est autem g e β + 2ef
14
12
5
β+ fh
a
et fer:
2
ea
(9) (e a + (3fe( a +(10fB a + (d) e a 485βf a) C 4f Ba) 10.
AI 
destructisque destruendis et ordinando, divisis prius omnibus per a fiet.
(10) 9eβ, + 4af ~oeβ + 16af (16af = 12f
 +a
(1) et extracta Radice,
(12) sive e HI, - 2af
3eβ + (9 a f  (2af)
(13) Ergo gequ aequationi 12. tingendo aeq. 1. fiet: g
(2) Et eg, erit ViC  +256
sive 2f
(+ 2asB- sCF - fC
a 3a
3a
aequatione 2. substitutis;multiplicandus est totus valor ipsius aequationis 2.
per gBa, ut omnia divisioni dividi possint per Ba gea, fietqus: Nimirum
15) +3F ist omnes termini multiplicandi per 3, excepto uno, ubi est eq: omnes
termini in quibus est e multiplicandi per-6aF omnes termini en quibus
est g, excepto ipso
ror. del altiplicandi per - 3Bf, et ita fiet, et eu per
15) 12a fβ + Aa B25 - 12 f8a7
2F aB, fiet:
t. eor in seyqus. erratum
X2
9B a3. Eodem modo quae remus valorem ipsius i exaequatone sta ubi
m ingrediatur et et  4a f, ideoque multiplicanda sunt omnia per osta, et fier:
h. 2a5 ( 2a(3 aβ +16. 40es a + 8f a  B3 (- 4Pa25 a - 258a9  a -25
9(+a3
Valores ergo ipsarum
verte