Full text: Gravesande, Willem Jacob: Physices elementa mathematica, experimentis confirmata, sive introductio ad philosophiam Newtonianam

PHYSICES ELEMENTA vitates conicæ exactius poſſunt conferri, quod ad Experi-
menta ſequentia etiam debet referri.

197.1.

493.

Motu duobus corporibus communi corpora hæc in ſe mu-
tuo agere non poſſunt; pendet ergo ictus a velocitatereſpe-
ctivâ, qua manente, intenſitas impactionis eadem erit, quomo-
docunque celeritates abſolutæ varient; ab intenſitate hac pen-
det partium introceſſio, quæ ergo ſemper eadem erit, ſi
duo corpora eâdem velocitate reſpectivâ in ſe mutuo incur-
rant, quibuſcunque velocitatibus moveantur.

197.1.

494.
495.

198. Experimentum 2.

Suſpenſo cylindro quocunque ex tribus qui in Fig. 4. de-
lineantur; & quolibet ex cylindris cavis, Fig. 5.

198.1.

496.
TAB XVIII
fig. 4. 5.

Hujus minor cavitas argillâ repleatur, ut in deſcriptione
machinæ & experimento 1°. dictum, & in majorem cavita-
tem argillæ quantitas quæcunque intrudatur; dimittantur
hi, unus à decimâ quintâ, alter à quintâ diviſione, ad ean-
dem partem, & menſuretur cavitatis diameter.

Unitâ iterum argillæ ſuperficie incurrat cylindrus unus
velocitate decem in alium quieſcentem, & iterum menſu-
retur cavitatis diameter.

Tandem, iterum unitâ argillæ ſuperficie, cylindrus unus
dimittatur ab altitudine quartæ diviſionis, alter a ſexta di-
viſione, & in partes contrarias tendant, menſureturque ite-
rum cavitatis diameter.

In hiſce tribus caſibus velocitates reſpectivæ ſunt æquales , cavitates etiam minimè differunt.

198.1.

474. 47;.

Vires æquales conſumuntur in formandis cavitatibus æ-
qualibus ; nulla vis perit niſi quæ in cavitatibus forman- dis conſumitur ; ergo quomodocunque duo corpora movean- tur, ſi eadem fuerit velocitas reſpectiva, eadem vis ictu
deſtructa erit . Hanc idcirco determinabimus in omni concurſu duorum corporum, manente velocitate reſpectivâ,
ſi hoc fiat in uno caſu.

198.1.

464
488
497
495

Sicorpora duo, ſive æqualia, ſive utcunque inæqualia in con-
trarias partes lata, in ſe mutuo incurrant, poteſt, datâ
velocitate reſpectivâ, ita componi horum motus, ut quod

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