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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 17v, page id 00068073:0034
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c
a
e
et e
5
x
at
1
por
e
25
2
ex
a
inquesitro in quad ratgras eciales
a  
5
eo C
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F
E
E 5AEC
E
P
X
L
et
v
3
e
L
e
pospones
sut recta 4L
si posse data linea algebraica, tangente lineam trauscen-
dentem circularem ut cycloidem, ignoratoque puncto
adeoque et punctum a- X
pungiadus
contactus,id inveniri potest.
1Y
Ja radius e circumferentia
quadrantis
aliquod curvae transcendentis AB,_ HBC. ACp  a X Y2
modo mercalculo non
e omnia destru
BD VaI - X + as dx +9
CEp y.  ax Y2
l
u
Ergo aux  L= Y
(
V2
2A CD H
y0v
G  
=X dx
Sa-X2
2
A.
E
omnia destuuitur et
ED⊓ Bd- BC+
l
-
E
z
y -D
Va
saxi
Ta-x + a(dx +4-
1
a
DEH V.
 ED r1 V. Ega
x
V
YZ. v, 2a. + a
a -
52
HI
: a -X N
v
X p a - 2
12
sed quia ob angulum semire
c
B
a seu - 12
+ dq (u)
2
c
du + du
2a n Z - v
2
tum
12
X
2
31 du
su
12
qud
12 Y70a Z
-du + du (70 hunc
12
e, hinc eo modo rp exdum non reperit et puto id semper in lalibus
tutum, ut in frochoide cinculi super aliam curvam incedentis seu semper enim quoedam
tangentes quaeratur
novi.
aliquam spem fatit: sut sinae curvae trnscendentes ut ABC. et CBE se
+
cuta analysica de qua constat omi totem cadere extra ABC, et lotam
intra CBE. ea utique tanget ras duas et videtur invenori posse punctum contactus
 quia quod langat non duximus ex calculo differentiali et ex calculo max et minimorum
3
D
Sy-v 2a
12
L
s
du 10pdx B. hoc non Deberet feri
Jam Dantur in calculo cangentrum ita ut nihil inde ducatur
equens methodus
b
possumus autem horvam istam lanutus ticam sic assumere dando ei valorem resavudentem valori
  convenientem valori inde termi ratae transcendentis infruito seu ab eo parum differente
Ita anim constabit temper
esse oiniremm ut si sit +- +3
valor simul talis esse debet, ut sit minor major quam
minata, seu ut semper cadat inter duas, ettum nec
eait minor quam areus. sed idem
 altierius curvae, ordi pt indete
necessario eas la noet quiipe se langentes
i
e
DE
es
15
E va
e
du s2p
Novembu.
1679
e