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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 19
# Folio 12r, page id 00068064:0023
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 V = (dn sa- nt:aa quaeritur per extensionem curvae in rectam. fint
ddm, c- pr : aa = d Bd β +V dV. ita ut β et V possint haberi Algebraice. fiat
aLab Summari potest  dep. (i sap - 2p ip. sit 2p = fs + qu
Erit S, ab + Cp +S de :aa = β et ( rent rg. dm. Y aβ - 29 m - B = γ. sed ut aequatio 5identicetur
fiet dip. 2p faa- vip= A daqque
fiet 2 ( Cabb et taa bb + 2 abc n + 2abf (n C + 2cf p + ft 
+ ec
+rrggap - 2rran -rrgqum 2Yrg.. -rr.
= rrot
e rrap
rrgq
X
X - 1. (M
siet  e ff = rr- 1
c= rrq:f  c=rrg: ab
Ergo c b f99: a
Exere, sit 255  -2899- r299. farn
Ex ii fit 2rrg9 -25f99 - r 99. ff; at12
Ex (n seu a, fit  a + 1g- aabb, : Yrq = p. Ergo atrr AB = r  N4. r 4.  B ex
id est a
19
ff9
exiset B.
Er. r +19
9 (15)
estia
14)
+q
st
(15)4
DI Ergo experes At +Vf = Y
seu (D 1+2 (Ep ) ergo sit
un + +1)
tem  taffrru=   seu
. Ergo r = 15+1
4
e 2
seu (rra -  + 9r 9 -Drt = rra - a ( rq seu g rraa, r vr- 1
a
c
c
a
qa hygo fc
seuroua
ra a
se5 seu rtg Aergt q= rra-a  si faciamus q a fit r =ad
c
+
c
2)
(16
et f- 1 et = a 9 Ex 13 fit p=  ar 2a p = a + 2a a,: 2a Ce seu p = a
e
1)
(et  ex 9 2a et ex 10 idem). Ex +E fit p- 4aa - 2aa 4a
vel ex aeg. 14 299
4 unde ex 13, p
Ex 1 et 13 sit a ff+ gf=
Ex 12 et 13, 2er ggf 2fgg r 99 a
a
(15
unde exo b= a + g3: rraga. Ext12 fimu test per E fiet +, g - rgisf,: arr = p
ede
erie
pergl)
seu ex 15, 29u ff - re 9q3. arra f = p seu 299rr-9g- r gq: rss
et a
= arr
sem
q ar
qq 9t seu fiet
c
4
4(18) 4
4
4
e
(14
 valores 14 et 17 aeq vando fiet rra atrrg.q
4 4 119
t = rrarrq = a (-4) seu rg+9 +rra = rrg + a
0
c
4
 a rr 4a- rr- 1,. 
a - rra: r + 1 = rr. Ex 8 debet esse rp1. sed
ex 19 debet esse rrp r +1 quae duo pugnant inter se, itaque hac ratione
4(191
(2
Ergo fit 9
quaesitum est impossible
loco 
Locor fiat
Ergo aliter attentemus
desideratum redeundo ad 1.
a- : aa e +  a = , Id β3a(3 +  d)