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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 76v, page id 00068073:0152
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Quidsi ponamus  aqu y. fiet: HA  yt + ut
a+ da
a
fier ++ da + a dt aequ. du. et ponendo du aequoo. fiet:
a pau.  ada est autem da 
x +  x
at
ret
ergo fiet: a aego  su a aqu, nempe
erit arcus ad tangentem in duplicata ratione m secantis ad
eantem radium. Ergo y aqui
B
++t2
riritjam aliter inquisitionem
instituamus:
a aequ. , ergo da aequ +t dy + y. at
fiet:
 quia du aequ 0. fiet:  aequ et da aequ. 
+
+ C
r2+ +2 nqu  quae est aequatio identica
eodemque plane modo si sit  aequ y. nec proinde
hac quidem ratione ipsam  invenire licet
taque ad nostrum caleulum redeamus novae curvaeassumta
 aequ. y. et Vaequ
3r, ++ b
R aqu.
 et a aequ. ds et da aequ. + sdus 4 3 aqu.
at
1+ +2
est autem di aequ. + at. et saequ si+F itaque fiet:
Si+t
+ sit y + otat aequ. st
yVi+t
1+ f
et 
y
 A+ C2
sive brevius + Sius  aequ + F + dt sem + situe + t + y at
seu +s+y
aequ. aZ, sie SitC 1y equ
+
A+ t 91+ f
as
Sive quia t aequ S, tiet Se - D + dus -y aequ dus s y at
16
EX F
t
t  aqu ay  = 2dy  y53 + y s2
d1
  ergo  jam + equ v5 - 1. Eogo
Guyo
ponamus + v+u atoqda
(P21 sy aequ dy
at
at se
jam Vaequ.
3Y (00- 1 + 3rt
Nenamus jam Vaequ y. et quammus +) +  aequ. 4
et ponamus reno casu  aequ0.
praterea
quoniam ergo hoc volumus ut currae duae se tangant, eandimque
ibi ubi se tangunt habeant minimam, datlingi hinc
se quentia locum habebunt parmo (+) Y(+) y aequ. 0
secundo + 5 + N aqu. 0. ponc
primo, ut sit
secundo Et sit
tertio ut sit:
quat utt
quario uut sit
quinto ut sit
septo ut sit
cum
C aequ. 0d
equitur
 aequ. da
dyc
de seve
ps sequ
habere tangentes parallelas)
a aequ. 0q hinc sequitur curdas habete
do aequ. 0d
at axiparelletis
da aqu.oq hinc sequitur cu sese
do aqu. od toambere, s cun, as tumineti
tutt