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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 118r, page id 00068198:0235
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reciminis ergo placet calculum inire si parabo rae soeus
incesal per Coniea
nobilis
ponamus Axem parabolae HE semper esse normalem
ad axem conicae A Et esse FA focum verficemque esse 
esus distantia a eo puncto fixo AeiY F in courca incedente
esse b  seu FH. Et si normalis ex F educta, verra
parabola in puncto E erit E punctum curvae synoditale
seu basis super qua incedens parabusta giguit Comear F ut suam
trodividalem
2YZ + 1Z
Loo
C
AC 3
CH, V. B latus rectur in
latus rectur parabolae sit a
rd Z + n7 d3 = vdv seu do: dz r+ nZ: v
FH =  b
GH in a= GE qu.
g+ GE = x se 
GHCGE: G. b 
D= FC seu v - GH + b= y seu FC Hinc ex 7 et 2 (9
L  G (GE: YGC
a
fit av = GE qu. + ba = y a et ex s et 6, fit av - xx- ZZ + 2xZtba -y
Rursus ex 4,  per 6 et 7 fit Y4 n Zo: v = X- Z:, v. y et ex 
(10
(0 fit vr - yr + HnvZ - nyq = x - vZ fiet inorC
P L gr +ngque: Y+DZ +X - Z. exqet 1 fic vL vamba- 2 Z+ XXt 
superest alose aqu. 1, 9, 11
lollatur z et  quod ope canonis facile foret.
et fit garagr+anz
si duae sint curva quam
drfmata  certo modo paronerae ordinatim applicate
Generaliter notandum
are
custans e
audem arrectricem non plus differant quam data quaedam X
cta
possunt intelligi condescriptae per eandem provoluliones
Nam recta conflans se potest intelligi mota simul
realis
peratiamue. Si jam curva sit cum centro H desrrplus
circulus occurrat curvae, porro basis provolutionis
a facile habetur E), quia E est necessario cocursus
respondent
urvas normaturm
ad tunc propstotuda nos
le
quales
AkK
determinata
non sit dat
ieri sit H H. centro H, radio HL describatur
et KE, 
ine si
citculusee sed aclato nll H tunc is debet tansine per k. si
Et
al
ergo paribola HE motu seo convestiniare debet lineam E(E) at itaque si
et
data sit HH et HA, datur pactr EE, adeoque EE) linea sed nontatur
linea KE, non pt sumi pro arbituo sed verb. gr. parabola sed est
detepmnrata sin pa rabora sit determmata et linea EE, foco e si placet
descibetur pambola tanscens per punctum E, etNom data parabola
angultudine se numero; edato eljus foco et uno puncto, datur ipsa
parabola, ulli ergo patabolahtunc occurret circulo KV ubi erit pun–
stum K sed dubito am tunc juncta Ek sit d curorm AK sic inventam
pormalis, num alius qui res non procedet, est alioqui data quaevis
inea SE sic posset esse tasis parabolae. Iltad nte o
intermi si puncta hoc verum est sit data linen. HH, in qua incedat
pumtur aliquod fixum vig. focus parabolae six praecerea datas silus axis A
parabolici HB, tempe si ABdetur ex CA, vel ex AC, dabitur situs parabolae
lic positis datus sptus priabolae, eneatur ad H H positione data normalis HE, ipsi parabo
la oecurgus int
a
curda
baseos hon srvoctationes. Hine palit
lone
punctu cyrvae
pla
) non sol
data modo
Hole bescit
seitanc
malis et
punctam b, et mtuisset eriu descati enoentione
po