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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 4
# Folio 2r, page id 00068076:0003
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Co
dx + dus 
et
da
Ax 
. seu Ax+ dy=
a
s
e
dx + vdy = dx. fiet dy = dx - Ex v, : r
e
1
d
seu dy L dx V1 - D: v. Efficiamus _ ut 1- v aequelur
quadrato 1_ZNa 1∞2ZV + ZZ vV. fint v = 2
e
et EC V= 2
et S1-
seu
a
dy
et
 17
5y
etu
70 = 1 = 2.
es 
99
y. 1499= 1
le
(1 -vv = 1Z= 1: Z+1 et dividendo per v
en
1.Z seu dy: dx =
AX 2L 1
dm
G= Vdx +du=L
dari
+ Z
2
a
a
ev
prodibit
1
n
Itaque posito
ipsius + Z invenire per curvam, seu ipsi invenite
fier
se
carvam edementis proportionatea
indin
Xa +1
mmumnt
ddem
= AH
= l= 2Z
2
per X. patet si quis velit summam
es
opus ee ive summa ipsius
a id
finc patet autem
C. YXX+I. LAX+
ut obiter dicam, culivit parabolocidum et Hyperbolociolum
excepta prima Hyperbola, et excepta recta posse exhiberi
curvar proportionalem per communem Geometriam.
grsq 
++ fiet
a
eetrc
+
t