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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 188r, page id 00068200:0377
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t Est Aequatio solida data, quomodocunque affecta
a 2
cV
+rm
+b y
rnrp
Sarbitrarius ri
+rn V + ep
pro y ponatur ejus vator gV - V + c
ym
=gl V) +2gC V
+rmus - rul ) +rmc 
2
Lyf 102
Pro Vunatur pursus ejus vator 
aequatione divisa per g
q
et habebimus
+ C y(
+rnV, + rp. Allitica - Pur P
se destruunt, - gl Vy + lgrY A
substitutoque ejus valore
1
V + 121
+2 Abjectis quae
et pro +(t v Iv2 N posito f.l
400
+Ly
lC
ac dnq totaque
ac denique ordinata habebimus:
+rme
trp
+2gC
At si addas (andem aequationem arbitrariam per 
= er  0, fiet aequatio ad
+ 1
V =n
sectionem (dnicam datam
gu
1+
10.
inclus
sit sectionis conicae datae centrum B. axis seu Latus transversum: sgi:
B. describatur rectangulum DEL DEFGI cujus latus DE, axi
AC paraleilum sit quod ego appello: Rectangulum sectioni Conicae
adscribere. In DE producta si opus est, sumatur _ punctum L,
orecta ductage n LM, quae ipsi GF
ita ut DL sit B DE +
productae si opus est occurrat
in M. et ipsi sectioni conicae in H
Constat ex Cunicis rectangulum De, esse ad rectangulum MHL
dectionis Latus transver sum ad ejusdem latus rectum.
 vides
orietur Aequatio
ad circulum
At si addi
l1aX+  X 1 y
qua Reguli
Duo ergo inventa
sunt Loca
Aequationis date
propositae, alter
ad sectionem Cncan
datam, alter ad
circulum, quorum
intersectione solvitur
problema.
Sed ut rectarum g. et c. detat minatio habeatur, comparanda est haec aequatio cum
alia ejusdem formae ad eandem sectionem conicam datam
primarium, Duos vertices oppositos conjungens ABC. centro eodem c:
AE mi
..
auferatur
usta: - Y tgB. LytC
ut lineolis s
orte
rationem lateris recti ad trausversum sectionis conicae datae muldiplicatam
tempe 4)
(-rml
+rn
+Yme
ct  M
matmidumiM
Fgd. F.
pro C, ponetur
rectius ir
item-legalcus
un aequanom, simua
tur arbitraria assum-
1492. it
+2C
+r
i inm
Mo.