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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 23r, page id 00068194:0045
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Vaa + b XX
V aa + c Xx
Extrahatur radix ex demominatore.
a + aa b XX + bc  aequ. tX
L.
deneralis
Cu Aequatio ad conicam est:
Ergo 2 a dx f 2a X dx aequry dy. seu dy
aa +2 a x + xX
Ergo dus dus + dx aequix 
yy
et dy + dx aeqo dx s (aa +4g7 vel aequ 1 + 
seu Elementum curvo conica seu sitar 
in  raa a X + a xx
eaqu
 aequ
Lay + de aqu
dx
1C
4 4 a xx f 4aa x + aa xt
paas Xx 4 + a x + a xt
3ax f a xY
lumerator
et loco x ponendo ( fr+ d
bb
et loce X fiet O aqu. +lg + lfV
aequanta quadrato:
a P et dutevo
erit
X + M XX + nX X
 p
m9g 2mgf V +sf vV
x
In g +3ngF V +ngfv +ns v
+pg 14 p9fV+6pY + apof +ps
ce + rdv + devr
+ dd or +2dev + ec v
ee aqu. pf4 4 dupse aequ 16pp99) 1 gpgH f+ nnf
conferendo
3 + 4V + 5 vv +6v + 7 v4+
seu
erit ee aequ7. et adde et dd  et cC aequ 3.
et (4) dd ee aequ 62 seu dd aequ
(4
(1)
et AXcd d aequ. 4. seudd aequ 
Hos tres valores ipsius dd comparando, ex l est 2 eas in se invicem multiplicando,
ie d aeqo 46 seu dd aequ
4)3
ab aequando 4 et 3 fer: (4). 5 5y3. 2. 73a. .
(4) 17.3
seu 2t. 3. 4. b + 2. 7. 3 quo valore substiculo in aequ. 3. fiet dd aego 55 - 4. 6- 2. 7. 3
p. 3.
per aequ. 3. est 5 aequ. 4 + (9. 3137 per aequ. 3 et 2 est 5 aequ. 6 4 (8) 7. 13.7
161
() 7.
Qus duos ipsius 5 valores aequando  et: 4. 7. (4 (8). 3. 7. s2D aequ. 6. Z (+ (1 3. 7 f. 72) d est
id est _ 4.7 aequ. 6. 3. Quod jam habuissemus ex aequ. 1. et 2
Rursus multiplicando in se invicem aequ. l et 2. fier daqe
(10)
aequando igitur aequ. 3 et 9 fier 5aqu 2f3.7 +
62
6) 4. 6
4.6 seu dd aequ (4). f2. 7
4.6 (16). 3. 7. 
seulrgo Eciqo 24.7 + 4. 4 6
Ci2
seu
elementum curvae Conica
Sat + aa b XX + DcX
aa +
X
Xx
e
2ax + a xx aequ’yy
aequ.  a + EX dx
Curva conica
Modus quidam
laris comparate
quationes
4aamr. 4 4a x t e
erfbxtvu
Xaequ + S+bgy abb
V
En x
En
D X + By est 2
aequ. y.
art
aequ y.
quod  fieri possit. sumatur
Fraa x
ex D
aa xx
cax + 4 xx
4
aego  a
aqu. h
p2y
aa 4 537
seu agp. a bb + 217
video sic nochaberi exitum revera
enim non est nisi unalitera 9
nam f evanescit sunt autem
duae opus aquationes, ienque hoc
sotum remedium video, ut adhibent
et fracta, seu fiat So+
paqu. LBAR