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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 243r, page id 00068201:0485
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Duae sunt aequationes inter quas instituenda est comparatio
tinna PX. (s + a 18 39) . X. + IX
4+)
Htiaf d (e + 2 1t 4 a Ag 4a15 9
B+4 + sa  a
(34 = a1 125
+ m X
+ n X
+4917
14a9
-4a0
=4aC
+agC
491)
+YX
= 246
+S
Dividantur Temim omnes prioris aequationis, per detoper Mlultiplicantem pritut.
fiet aequatio prior: X et a X ex  X e a X etc a
54
Compendii autem apra  vel a vel a, vel a  multiplicantes posterionis
aequationis divisi intelligantur ita ut m valeat (m)G, et n = (n) D et Y= Y)Q
ad
et S = (5) demus iidem t mulhplicantes posserioris aequationis, divi multi-
plicentur per h velh, vel h vel h4 ei fiet denique
aquatio prior X etc X ete X etc X, et
posterior X) nh X nh X rHX, sh
Unde jam aequationes particulares, ex singulorum terminorum respondentium comparatione
)ina
ida
ortas facile habebimus, quibus t incognitae h. g. c. e, innotescent.
Aequatio: + +.  4 g,  = + 1, 4 a
Aequatio:
m
B+a 9 ea 19
quu
a
=
h-
eg B9+ a (
m
β-
Ergo h = gr + 29 a + a  Bu
-β+ 4
m
sag ubus-
qu + b g =
a
a
qt
L+
AE
a 42 28
8a + 3a B n
2( + 8-8βn
u
ta m
=
+640- 12
34 4 =
4
24
a-
eta e
64a
a
+G4
+ 29e
c
+C
e
seu g - _
n=
Ilia Aequatio: oBra, 9 + 8ag - b +4 e, 
e
- -  + a, m