Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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PHYSICES ELEMENTA
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locitate in qua æquales ſunt reſiſtentiæ hæ, prima erit ad
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ſecundam ut unum ad centum.</
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<
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quitur rationem particularum ex loco motarum; </
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<
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nim a materiæ inertia, quæ materiæ quantitatis rationem
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ſequitur : </
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<
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xml:space
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">eſt ergo reſiſtentia hæc ceteris paribus ut
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xml:space
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denſitas.</
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<
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xml:space
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">Computatio de reſiſtentia ex ſecunda cauſâ iniri poteſt,
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nullo inſtituto experimento, determinando pondus quod
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hanc reſiſtentiam valet.</
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<
s
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xml:space
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">Sit corpus cujus ſuperficies AB reſiſtentiam patitur, dum
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<
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motus directio ad hanc ſuperſiciem perpendicularis eſt; </
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<
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<
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fig. 4.</
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nimus autem ut ſuperius, corpus quieſcere, dum fluidum
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movetur, quo actio fluidi in corpus non mutatur .</
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<
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<
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xml:space
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">Sit ſuperficiei AB æqualis ſuperficies CD in fundo vaſis,
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continentis ſimile fluidum ad altitudinem EF; </
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<
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terea preſſionem quam patitur pars CD fundi, æqualem eſſe
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actioni, quam patitur AB, ſepoſita partium cohæſio-
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ne.</
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<
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">Plana hæc duo æqualia, cohibent ſingula motum fluidi;
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<
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xml:space
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">propter actionum ſuarum æqualitatem, æquales motus
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cohibent. </
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">Ideoque ſublatis ipſis planis, fluidum in locis in
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quibus plana agebant eâdem velocitate fertur, id eſt, flui-
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dum, quod in fuperficiem AB agit, movetur velocitate qua
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fluidum per foramen in CD exire poteſt, id eſt veloci-
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tate, quam corpus acquirit in vacuo cadendo ab altitudine
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EC ; </
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<
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<
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tritum. </
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<
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">Ergo actio, quam patitur ſuperficies AB, dum
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fluidum in hancagit, valet pondus columnæ fluidi, cujus ba-
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ſis eſt CD, aut AB, & </
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<
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quam patitur CD .</
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<
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<
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perpendicularem, in fluido moti, reſiſtentiam valere pondus
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columnæ ejuſdem fluidi, cujus baſis æqualis eſt baſi priſma-
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tis, & </
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