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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 119v, page id 00068196:0236
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La trax 1-
Datae curvae aliam parallelam nvenire. Honfante Hoc fier si
X
 d. quaerenda:
P, aZ
vi
v + du v
dqre vds+
dir
f
g Sipta
dugri
19
prpendi culari DC addamus CE constantem nam
datur CE, datur et ratio CF ad FE (eadem quae ratio
PD ad DC.) ergo datur triangulum rectangulum CFE
ergo recta AB, sid est AD + FC.)  abscissa, et
recta BE, (id est DC(+) FE) ordinata
Experiamur saltem in parabola.
(E F) latus rectum ejus 2a  Ergo Dera ADF X.
DCH Trax. FE, Yrax. Ergo FEF FC.
FC + FC
b’ar
b ab, utxa
aetrax1
FEp
ag. sim  raro Y u qe
buar
v. fici
r
atixa
a. CErib
1 _
Lae + 2aX
ergo BFB Vrax + b sEra C
2 + x - 1ZX.. Eigo X
atixa
ab Y2xa  bb Frxa. Ergo BF Tax p
a Z- X
Tax
=ra co srax
rax
atrax
vuar
aetrax
dque auferatur fiet curvae
Elementum a- 4a 1 a 8.
vae. vi vta-
quod si esset quadrabile omnes parlere
Vineae quae parabolae sunt parulletae
endenai possentus mensurari possent
V. Ergo ba  av + 2XV2
et ba = av X
nusus trax +) traxst  pco. se
Unde foi deque ae+ B trav cors
1 B
ZX
p. 1ZX + x + b + 27b + 2xbV
co. Ergo re Brar
ato-atrax
lax
a +raxI
ae
Saetrax HZ
sae trax
X II tax
Z-X p)
a +rax 2aX
Va +2ax
se
a
Ergo 6 2- x + b
Ergo ba +b
b2aV
a trax
braV
aa
p
u
trax
F b2. Ergo FCF. ba
et AB, x+ FCH X + ba
FEFI
ba
pea- li 2 e rax
p2
C
Sae +2ax Ergo 
seu si +5 +. x
co
actorax
a Y a H raxp ba a
Ego fier aequatio: a + v, a +v, b + v, b - v p cov, cov. Ergo Egobpo
et erit quantitis V addenda ipsi Prax hobebitur seu ipsi eoa habebiturue Z.
v
nimirum y+ v+ coa. sn Z ∞+ asato, at b b. abi posto
 cat
Idem calculus institui potuisset pro curvis omnibus, hoc modo: 
pc
DP
ADAX. DCHy.  CEpib.
ABrI Z BE Fjco. BDrd FEB f. CB B ∞. Ergo F 1 
Fp b
Ergo des bc. Jam ZI =x = d. Ergo ZF, =x = bc. nisus co+Py (=)  (4)f
by
et co Sp - yt. Ergo pZ 5 = xp _ = b sp. go et pcop (=) pus Zby
ex natura curvae
ces
d
ubi explicatis p et y  per X. ac sublato denique X resbit per unau aequationem restabit
in altera tantum et co. Sed hinc intelligitur non semper per ordinatas daturam curvarum
i commodet explicari, sunt euim quae melius per perpendiculares declarantur.
+
aerrax Y. Zb a trax f 2nba qrabx
est
e
rax
sabiprosito apib
fiet:
21I∞+ =Ya-v
cujus differentia. . aequalio ad
langentor dG erit:
2ax
quae est parallela parabolae
posita du constante quadralo ipsius
sa
1)- E0a
aco = 2a co vrax + 2ax
sit ba
Mhevius