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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gradibus varii gradus dentur, & </
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ne ad hæc transferenda vis quædam conſumatur, quæ ut
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Mathematica ſit demonftratio ponenda ſunt. </
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<
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vim, qua gradu infinite exiguo corporis celeritas augetur,
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eo majorem deſiderari, quo corpus majorem jam acquiſivit
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celeritatem, vimque hanc in ratione celeritatis jam acquiſi-
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tæ augeri; </
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<
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">unde ſequitur corpus accelerationi reſiſtere in ra-
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">442.</
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tione velocitatis ſuæ. </
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<
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">Eademque actione gradum quemcun-
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que velocitatis tolli qua communicari potuit.</
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<
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">Unde ſequitur difficilius corpus accelerari quam retarda-
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">443.</
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ri. </
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">corpus decem habeat gradus velocitatis, mi-
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nori impetu tollitur decimus, quàm communicatur unde-
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cimus.</
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<
s
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">Etiam patet, corporis, quod velocitate finita fertur, id
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">444.</
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eſt quod habet gradus velocitatis infinitè exiguos infinito nu-
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mero, velocitatem gradu infinitè exiguo non poſſe augeri,
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niſi actione in infinitum ſuperante actionem, qua æqualis gra-
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dus infinite exiguus communicari poſſet corpori quieſcen-
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ti .</
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<
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">442.</
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<
s
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">Et ne quis objiciat demonftrationem locum non habere,
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">445.</
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ſi ſucceſſiva non detur, qualem poſuimus, Elaſtrorum re-
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laxatio; </
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<
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">ſed velocitatem communicari corpori quieſcenti pro-
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portionalem numero illorum quæ ſimul relaxantur. </
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fecimus, horum inertiâ, & </
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poſitâ autem hac negamus velocitate tali moveri elaſterium
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primum, quod non corpore celerius moveri poteſt; </
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autem celeritatem ex præcedenti demonſtratione deduci de-
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bere liquet, quia relaxatis ſimul elaſteriis, corpus tamen
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ſucceſſivè omnes gradus velocitatis ſuæ acquirit ita, ut de-
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monſtrata de diverſis elaſteriis referri debeant in hoc caſu
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ad ſucceſſivam partium relaxionem in Elaſtris.</
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<
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">Ex præcedenti demonſtratione etiam deducimus,
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quam rationem, auctâ corporis velocitate, augeatur vis cor-
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pori inſita. </
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nullum reſiſtit obſtaculum; </
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