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# Title: Leibniz-Handschriften zur Philosophie LH 4, 5, 10
# Folio 72r, page id 00069349:0143
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Esto Aequatio solida data, quomodecunqua affecta
4
+Cy +m + bn. V 4B70
sive y2 
. a
V
Su 3 + ly y +m Y AnV + BBp 1110
pro y ponatur ejus valoi pro arbitrio sumtus ex aequatione arbitraria hac:
ea
y sigX  lV fiet:
qu at 2
1a sa
+mgX. Bul s anus + r0.
jar
Destructisque quae s tollunt, et Et loco = V, rursus ponatur ejus valor,
h
nempe
omnibut
Xi s, ordinatisque omnitus, et divisis per q
auferatia ae
n
eaequatio arbitraria assumta GX ∞y - y. 110.
et ita ordinando habebimus
+ Im X
=ml V
 in
equ
+Vp po. cujus aequationis
icum patet esse
Circulum.
substraltat iet
aquationis
conica universalis
et
Si loco aequationis arbitrariae assumta simpliciter,
ndefinitam
aequatio eadem multiplicata per rationem. Qua
futura est ad sectionem coni locus futurus est sectio
et aequatio apsa itu sareto.
+rm k.
2g..
in
=rml V
eg2
ern
+rp. F
Hug Et hujus sectionis conicae cum ciculo intersectione cum circulo, solvetur
problema solidum datum.
Tantum inveniendus est valor rectarum
B. et g. quae pro adbitrio assumtae sunt: id vero efficiemus conferendo
cum aequatione ad sectionem Conicam universalem hujus formae:
2
es
Erit (1) Ber
tC
+
re s64 sive er AHY-a
et e y 2 r6- 4ler ( gr = (ag4 8rgr
2
unde du  hora sis BE
2ng
2
1
2ge
YC
0
Sxelg + _l gr ptrm l- 8rn - Vr
C si arsul -8r n -(3r- 4lg7
vel exter3- 1
Ergi
a) d im - ir-
8rq
 vel 2hr 2βg0
2Y9.
egr
universalis.