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# Title: Leibniz-Handschriften zur Philosophie LH 4, 5, 10
# Folio 69v, page id 00069349:0138
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caeterum satius est fortasse valorem ipsius n, hac aequatione
Z  + es  - - rC+  exprimere agrandoquidem
si ad parabolam  velimus, ille ipse valor restituendus esst.
applicare.
sin velinius exprimare valorem ipsius ue in aequatione achibito
vinclo ita faciemus.
F2t S-d rC + e
LFa
ned  su
=e W
427
+ e.
+7
Jnventa ergo sectio (onica, ad quam est locus datus, nimoram ejus latus
rectum est t n + e.
ratio autem lateris recti ad transve rsum
ergo ponendo transversum B, erit 
B  F + te
Lee
H7, entu
Donatur vero viceversa, sectio ista senica jam esse data. Quaerius
tantum an non indeterminatae ab nitio assumtae, d. c. c determi-
nentur, Respondeo determinari exipsis; non nis unax, quia non
nisi una reperitur aequatio n e  lateri recto sectionis soniaae
rataeergo in nostra est potestate quam ex omnibus velimus, ea aequatione
hubi determinato alterntia tantum assuntanm, vetre vel b Exilincis autem _ b. mE C, C. date sunt quaeruntur vero g. B. d. C.
 vel g id est earum summ tantum determinata erit. Caeterum
inverumus  + C ( a,
rudaus et
 +ta + FC. (ergo n
a+
A E
riu
ergo FZ  r) +  a+ 2ae + f 
1
gus
Ergui 4L a
e L
atad C
u il ac + qua
e, et enpi + eta +
e
e  et a) + tac (+
. LIr
on
se re r
 a
4
l. - rc. +
4
e
a
1t e
sit calculus.
Ut autem possimus 9  pro arbitiio
assurere, et facilior fiat constrnctio
tantum opus as loco
X, sumi
2 +Y. seu t f. neque enim eam in rem ullo atir opus calculo separato
sed inde amodum proparabula tunc non X verum Y explicanda
quia ibi Ca atotnp
omcerise
nota in paribota.
a
pa
e pol
quare unc video non esse in potestate nostra
dissas 9u et B assumere pro arbitrio
Poatum porrol d WaA, fiet 5- W=ZWZ + A, + QN +Q - Yd r0 ponatur
s eLO et aestructione fecta restabit: s  Wt 2tA +GLD. Erituo radius
circuli Ed a Brevis, loan A poterat poni Yri  G+G
sive erit.  + 162
de
ost
2p
Fetz S.n. P (89( 9 eY. 17
iradis circuli eee
e edias  a v
DF7. d (YC). 1f- 19.
in parabola eutem statim mani festum est, ipsam e p a esse.
ideoque utile est determinari ipsam e semper. ut universalis
et ita
qe
e
determminari.Quam vero determinatione compensare fanle est, ponanus
enim e  f eximpli causa f qulie f t p C atque
ita C
vel
e
92
(ive An