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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 110v, page id 00068164:0220
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ponamus tubum A  LM cyliudricum cujus axis
lujus axis cylindri sit maneatque durante motu in plano
velociter
horizontali eodem, moveri circa aliquod centrum L.
t et quidem, si placet, ve ocitate semper
aequabili, experientia constat globum aliqueme
qui initio in situ primo LM, quieverat, per circumactio
rem Tubi in motum concitari, et tandem ex tubo ejici
Unde ex hypothesi circulationis semper aequabilis
in tubo, necesse est globum ubique accelera continue
accelerari, ac quovis memento novum impetum
acquirere, cum ratio nulla intelligi possit, cur
alicubi aut aliquando nullam novam impressionem
lit
Ostendi autem idque ostendi autem
patiatur.
libi) (ut hoc obiter dicam) impressiones novas. in hoc casu
spatiis percursis continue proportionale
etcalo
isdenus recta in sequentib erxoq, sub finem paemnae, nogarus
patia per cursa Leter urta sint ut abscisae,
velocitates acquisitus fore odi sore ut ardina
am ipsius. LG. langentis parabolae LV, ipsas G
locitate
d tvat
aquasi
jam cum sit Ss SVat (et hoc loco vussta
it du esaia et as= vdt. Ergo fiet
t a _5: 55 Ergu a
ut
Ergo dC 1 a5. seu t ut sua: s
seu
tempora erunt in ratione et directu compositi
ex diricta spatiorumS determinatu ali quo seu
constante sratio a multatorum et recisroca
eorundem spatiorum sed in hoc na haereo alia
melius explicandums, neq enim est hing loci
sit Hyperbolocides quadrutica HH ita ut ipsae
quadia
LG, seus
recipioce proportionales, fit fiat hyperbola Fs
cujus ordinitae FF 1GF GF, sint ipsis LG seu
recipioce propbationales eun constat, ipsas FG fore
proportionales spatiis infinitis GH HG etc et. At
hinc sequitur cum FG sint tempora residua ipsa FS
s
fore tempora infinita, utque ita infinito ad motuntempore
opus fore idque verum esse video, quia per ersorem
pos posui mobile in centro, quasi inde expelli deberet
Y
quod nunquam fiet
mobiledntra centrum sed haec
autem procedent or si ponas
M)
X perfecra per
aequalita atque
levic rotunditatu
pt
uniforuilatis
in globo et
pylinoro
12