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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 23v, page id 00068229:0046
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(43) ponamus
45).. 3... h
1
eco-
i 5co st
sc
ua pure.. e evanescet.
A(7) Ponamus figer
(4 sin 1
(16) ponamus sei C+n
 Unde ex aeq. 42. fiet
S anent hethu ase
C
(55) unde rp. g. Esea (x qp (.P B  1
+ ngel + 297) +2a spC
(9) ponc P 1 1 + B 4 ber:
C +cP +etcl 2
2) ponamus 1+ 2 ⊓ m, sive 
6+) Ei ex aequu 62 fer.
in + 16 m P Vgc-gn 2f clgn 1 2g5 c
sive ol aeq. 62 Y 2+ 2
(6,) fiet ex aeq. 64. sequens:
IAg
et habe
bituus pure valorem ipsius 9.
Sed ita erit B.  onC per consequens,
SHC, quod est absurdum
Non ergo sic licet
Resumta aeq50 ponc
(68) hri 5- c, et exrus Vofict:
(69) suc + rfel-
Eodem modo res successisset si
(50) h  25d a - 54c  se
A conservandae solutionis Univer-
salis causa, posuisses
CM. ry
aequationis 50 vel 69. habuisses.
(72) 5c p + 2fel
TV ItE
s- c+35 (73) quae solutio est Universalis, id
lonamus ser sri
(52) pone he 5 +C,7
(3) Fai ex 49. 51. = stC
(4) hgq s+ F + 4
144 1 + c, t pusi
Et habetur valer ipsius P
HC + c, )
Et p H 1 + (19d = 9
aequari vundamatoquee
=C+ + pSHI
() Ego Bpy c + 19
 f71
f+17
. (70) sive 5-c + 2fel - sc.
Aequatio 42. dividatur
+ 35, fier
B +isc
e ex aequatione 50 fiet
v
Unde s Cp () + rcutri
per 5- ch
alee
ec (65). bone se = m. seu C + mj 0.
Ergo valor ipsius C habetur
 Et erit C
au
est nihil assum simus quod non
omnibus numeris conveniret.
Itaque aequatio quam invenimus
vera est in omni numero
satisfaciente.
Operae pretium est autem omnia.
repetere, ut Easculi secori simus
L. AH qu ∞C (7) Ergo Z 4 C
 2u4 1