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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 218r, page id 00068194:0435
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Muud hoc de parallesis
summe memorabile si detur
superficies rolatione uniue genta,
qu etiam rolatione alteriu
genitam num differpul tantum
rectangulo, quia su 
momenta habentur applicatina
perpendictorium ad axem
Hina habetur et Eodem
modo utique et ad basiu. itaque
detur momentum curvae e
parallelu ponhabolae non est parabola nam in caleasum eus
ingreditur adhac alra paralueter praeter a, nempe b.
AB aequ. X. BC aequ. y. BD aequ. a.
2aX aequ. y. cd aequ. b. AEaequ. Z. EDaequ. B
(2) Cpsta B siab
BE, X.Z BBa
pert
avel
la
2a
20
e
saxta
= 1
Frax
aiqu. aet a
al
t sya
a
+ 1
2 aequ = - 1
syre
aque
n
2
-3 2 +Z
aequi 4at a3
2(25) 74 ego 8- 2vy +y
v
a
a
Traxtae
fier: (B’yr aego  a  240) a Lavy t
 Ergo soro b
YZ fet: 6u9
v2-2Vy + yr (37) vy-1vy + 2av. 20ytraz7
2av - 2ay +2azy
jam si ob aequ. 25. jungas 26,E7.
+ b.
2aev. pay trajy 
fier: 1- lay
cago vy iprar
2av- ay + 2azy
b
aequ vy - 2vy +rav - 3ay + 2477
2av-ay + 202y1
ay
a ex h.  = aequ C - 1. seu Y aequ. 2a Z + 2a0 - 24
- 28 +1 aequ e= 2ea +a
Y tae aequ a
2ax
(14) ab
-1 aeq
Errax
b2
qu ab per aequ. 5fi:  agu 2 +1
(12)
(24)
posito baequa fier - aey
faciamus v aequ eY. fie
et ex 23. fiei 6
reat aequ ez
y
2axta   sta
2ax
24
Ergo fit: v - Z aqu _ v -1 per 20 et 2)
dimansionem plic  rursus b2 (23, 20
jar video erore )
applicatio fit alio
qui
6)
a
du v - 4X + 47X - rar
Vhan +a
62 Ytar aequ - 2∞ +1
 aequ. n  u + 2aZ
aequ
et 
a
a
seu X. Z +a aequ. ~. seu N- 21Z + 2ra +3- iha tae (9
a
seu per 9 aq. br
2a
inglerea dimensio (er 2. fier:  sog-
summerae mempabile
ex dimensione se
perre
Sraxtae L.
b+ Marqa
seax
2aX Trax (16)
uniusune) per aequ. 3. fiet: Y - Z aqu.  ab
mentu aliquod et
habebitur et plterius
habemus ergosem
unius praralletam
omnium. imo
in loco.
aque
Ergo X- Z aequ ab. seu Zaequ. x - ab
aqu
2x
niniue et ex axi et exbasi seu v 20
dabitu et altrum
Hinc si retur curvae
t
DE, v (5)
a
qu. f e 2
5
paralle la