Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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16192PHYSICES ELEMENTA ei annexum, & pro una libra, ſemi - libra adhibeatur, Ex-
perimentum procedet, &
pondera eodem tempore adſcen-
dere incipient.
Multiplicando globum ſemi-libræ per di-
ſtantiam a centro ſedecim, productum eſt octo;
& mul-
tiplicando globum unius libræ per diſtantiam viginti quatuor
a centro, productum eſt viginti quatuor, quæ producta
ſunt inter ſe ut unum ad tria, id eſt, ut pondera ſemi-libræ,
&
unius libræ cum ſemiſſe, quæ in hoc Experimento ſimul
elevantur.
Differentiæ virium centralium, ex differentiis diſtantia-
rum a centro &
quantitatum materiæ oriundæ, ſeſe mu-
tuo poſſunt compenſare;
nam poſitis quantit atibus materiæ
11367. in corporibus circumactis in ratione inverſa diſtantiarum a
centro, vires centrales erunt æquales;
quantum vis una al-
teri major eſt reſpectu quantitatis materiæ, tantum hæc il-
lam ſuperat propter majorem diſtantiam.
Experimentum 7.
Sit globus ſemi libræ ad diſtantiam a centro viginti qua-
22368. tuor partium;
globus unius libræ ad diſtantiam duodecim
partium;
cæteris manentibus ut in Experimento præceden-
ti, ſi pondera in ſuſten aculis Orbium fuerint æqualia, eo-
dem momento adſcendent.
Caſus hujus propoſitionis exſtat, quando duo corpora fi-
33369. lo juncta circa commune centrum gravitatis revolvuntur.
Di-
ſtantiæ enim ab illo centro ſu nt in ratione inverſa ponde-
rum corporum , &
ergo vires centrales æquales. 44143. 134. corpus unum a centro conatur recedere, alterum ad cen-
trum trahitur;
& propter virium æqualitatem ſeſe mutuo
netinent &
motum continuant; ſi circa aliud punctum revol-
vantur, motum non continuant, &
corpus, cujus vis
centrifuga præpollet, a centro recedit, &
corpus aliud ſe-
cum fert.
Experimentum 8.
Corpora duo inæqualia P & Q, filo junguntur, & in
55370. hoc notatur punctum C, centrum commune gravitatis il-
66TAB. XIV.
fig. 10.
lorum corporum quando filum diſtenditur.

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