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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 191r, page id 00068200:0383
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Occunt huc difficultas nova, quam non praevideram, nimirum neque 23 neque  neque
.l
n jam inventam.
lem
15a Certe
semper incognita quantitas neque valores quaesiti pure habebuntur. Huic
rei remedium quaered
extentins etis
Unde Aeq. 2. loco - 8a 1pe FBr n (2
( +0n -20, dabit.
p
Ba  = BYE a 17 Oan = = DZ, et pro Qt ponendo ejus eloum ex Aeq. ) Temineum tertiorunde
fiet: 8a 1p 2 = 8r5 a F, O a n = 2D, 21  -  + d’am
Et per valorem ipsius n, seu 3 at
valoribus be aY 46r
3a +
20
qpa, fiet fa t  0 a  - 8. Ergo collatius his
Oan - 298 - ra v2
Oap -eC satrt a
sioe +8r 1 ~0 a2 p - = 8r17 0
Ponatur si placet re 4 βa
pr
Egot AE9Ba ero sa  a
aipo
C1
93a
sa + 4Y E
44 32D a 464a qaet
pria pars aequationis fiet: + sβa E( p B eβa  a
2
Ende 580aA e
+ srii) +8at 0p + Ye
s ad
4 quare ruosus eoitus nullus
explicemus +8r 2pa , quod solum nos turbat eut 3 + 4  4 (- AY Y  2p a2 PY + 4Y CamB.Y
et ponamus Ye β- 7
au
net omnua quae supersunt tentemus, videndum
an ope Analyseos Numericae res ita disponi
possit, ut ponendo 2r8~
ab uno hebere aequa-
honis, et caetera ab altero, incognitae V. 8. C. V. 
94
2) am
Oam
+ 812
ita assumi, queant, salva indeterminatione, ut utrobique extrahi queat radix
l
non rectius fret, quam conferendo cum Canone illo admirabili a e Terminorum
sed cum prolixus trad calculus iste, qui constructionem facillimanm redditurus est,
ideo tantum superest nunc quidem explorandum, resumtis primis aequationibus
an liceat loco W ponere
s
et an ea res qui quam conferat ad solutionem
Unde aequationes fundam entales tres:  Nam- D ei  item ex term. 3. Etem:
ad transversum sectionis Conicae datae, ideo Y( Fa. vel Ire, a  et 8 a2 fiei ex term. IV. 8 O an
Do
M pure haberi quia supponitur ipsa Y, at vero Y supponit ipsam
1β
qu
+2d frn5-85a
dive d een 20
er
11320
flna- Bc
ta
26 +.6r
 1  a 2Oam Y D
+0 + 80sr aser
quibus collatis habebimus
25 +2F nS = esa  egu. 3
0’ au 1+2d 4
velsi malimm attollere ad quadratuon, in smmibus
tribus etequationibus fundamentalibus, habebimus
esequationes tres
item 
dea
gnoras nsarnes negude
+a
et (3) 
f 1 +85=  ad  et D a P. ed nec hinc texitum vided, cum sempe
o ind ersidus sit equo. 1 Quare ad ultimum
assurgatur ad cubunque etranisi D ponas
remedium sane infaltibile, saciamque auchoram confugiendum est, ollendo scilicet idum
terminum ux ex utraque iaequatione efactitia pariter, e data
quo facto habebitur
indeterminata supernumeniae quae inde oriturs calculi proligitas non redundabit
in constructionem qiaa diartitrari intet supetmerria deteiminatio
it  1eg 1
l.d
Vad
Id9