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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 3
# Folio 17v, page id 00068216:0034
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Xd+  aequ. X = eax  9tx
X+ rX aequ 52. - addatur utrobique Ixx + X + m
fier XAX l XX + 13X + _ aequ. I XX + 2l _ Y + 5+
+ ys
seu X A
trumm
=H fiet:  laequmsc.
et riego. m 12 senmagi Y
fiei l aego m (2 et in _ aequ - Y
seu vex jam Xx + mm aequ. 1X
X2
X X +pX aequ
14
+6 X e H x
illxr risla ussum vn +2ymm +-
ermal +m
UxxI +1 aequ
+ n
1
lx + IIXX
2mm
(2+ pE
Ergo coparando r+ 2sst +2mml aequ. 0. seu lugo issamum
seu l aeqo V. seu laqe seurss ,ommaqu s
=mm ((2)
rursus 2s) mn 4 m  aequ. d 12. seu issumeum aequ
seu 2ss e emm aequ  (2 + m 16) e
nm
aqu
ponatur M aequ. ln. fiet. V + Vn
seu l aequ. er nn
rtan
2
Unn
(8)
aequ 
=+ mt
Ergo +t item: 14 aequ 2ssmm +m ex prioriae
et hh  retarssitas I
et tem aego
valoribus 3 et 4 substitutis in aequ. 2. fiet:
4
5)
4l aeque 215 r3 (452V
Seu 10
(6) 
d
+ Y
)
U
2
U
et XX + L I aequ. IX + sim seu Xx - lx aqu. ssendu - 11
0)
seu X aequ =l + Ssstmm- L U
)
seu denique Xe aequ: l + S- : H1 + S52 + L 1
 jam V si tit aequatio Xargo qX + Y est 
xaqu ) a r+ S=g +  + V  - k9 + r
27
Nam Xaego r (+ S.. ) + X (- S. d. 99X
aequ. 3+
rgo X aequ
+s
Ergo
Unde jam intelligo nostras Hypothesetinon esse veras, quod
sclicet, ipsae a. b. c sint tales ut  vinculo sublato reddantur
deprimibiles po test enim aliqua  ab verbi gratia a vipento
is
ligom liberari
liberari, et
a vinculu liberetur
nn tamen
aut non ideo tamen altera