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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 55v, page id 00068200:0112
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Maji 1670.
euilibet superfice
atrot
Rimensiones curvarum Ellipseos
 et Hiperbolae tandem resera
potltione tactae dari et
plnnum aequale: aliso in quolibet casu.
N. quaerendam adime lajic fini superficies convide
AM aequ. y. CMp
PMr Lr- Ly
e
Ary-
93
et PCH ry - Xy + L r- ry +Y
CH2
est nut
jam
Jam
+ ry - Y
9
HX
9 qu
53t- V
e
curvae ex AB. ed ergo datur ex
 Habetur ergo momentum curvae Ellisiseos ex
1 qyg
L9 y
dy p
E
G
+
4
c
s
B2
momentum
L
BC datur
ex Hyperbolae
quadratus
alic
s
Hinc datur
us
m
aclo
Y momenti ex
ce
a
ex2
2
AEIt
+ 1-F 22
A
Y
porro ejusde
elia
du
X dc. Ergo de P.
dey A F y dus
Ergo seu p2
de y de
seu y de
s
2
Pous est momentur
E +A B posita circuli quadratura
sctjam: CG1y. GE  X.
d
coso
d
sa
un perbolici cima tangentem verticis vel basn
aut aaxem trans vecso
seu
D
2
9
 et P est ordinata Ellipseos posito 1p Y.
e
e
X 1-
1- y dy
momentum a BE suppositis his quadraturis. Datur
ergo recta in quam cadit centrum gravitatis harum
duorum curvae CEH. sed idem centrum necessario cadit
in rectam BE. Habetur ergo centrum in duarum rectarum
intersectione. Dato autem centro pavitatis et
E