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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3
# Folio 20r, page id 00068000:0039
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+
m
l+m LC
axr = I
ax-ay= pp
bei
X, y, Z
ax + aZ = mm
ax - aZ= 94
2ax = l + pp =  mm + 99
aytaz= nn
ay - aZ = YY
2ay= HI - pp= nn +rY 2aZ = mm - 9q = nn -rr
Res ergo reducta est ad aequationes 1, 2, 3
sit em + g = sn + SY et fiet m- q= an
a
e
sit ram 2m = (( + a
a
n s
Sd
2
a gg.  et
ds Da)Y
ia
et 29= ( -) n ++
+
d
a
U- mm = pp qu sit l + m =  p + 4a
=M=
a
t
+ 2 a
V
Em = (t - a) p (4)
a +
L +3
a
fietque
)q
2- 1b + a) (+) (+ = a q
(F
a
a +7
a
a
t
+ 5) Y
Ea +a 5
a substituendo
ar
valores inventos sil
sAt +a ((S -a)n + (L +a)r
la t
a
a s
2(V(t + a) p(+)F - a )((5- a in + (L + a 9Y
la
e
ubi pro m et
a
La
a
His duabus novissimis aequationibus jungenda est aequatio
l Pp= nntrr. In hphac
puro et p substituantur valores
aequatione 2
ex aegg. 4 et G
superent aequatio pro solis n r, una Cum aux iliaribus ses
Et compendio Z 43 = U 2 -a = 13 F+ 4 = 21 F-4 =2L
a
fiet ex ay. 4 1R f 2IY = 22p (+) L 21. (12n + I1Y)
et exaeq. 5, 2l = 21p (+) 22 (121 + 11 Y). Ex pricre erit
p= un + 2r(:
El =
ei
1q
u 1122
n. 21 n + 21.21 (=
22
12n + Y) et hinc erit
7 2t. 21 (In H f1r) f) 22C12n +11
2 1)2
et
Hidus valoret et p subslimendi it aq. 2
l