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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ideo adſcendit per tempus, in quo corpus cadendo poteſt ac-
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quirere velocitatem, æqualem velocitati cum qua in altum
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projicitur.</
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<
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xml:space
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repræſentet tempus, in quo corpus adſcendit, & </
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BE celeritatem, cum qua in altum projicitur; </
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ceſſat, ubi celeritas corporis nulla eſt, ideo lineæ paralle-
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læ ad baſin in triangulo
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BE repræſentant celeritates in
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momentis temporis, quibus reſpondent , & </
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<
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xml:space
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li
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BE ſpatium adſcendendo percurſum deſignat, ut ex de-
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monſtratione, circa corpora cadentia data poteſt deduci.</
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xlink:label
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xml:space
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">254.</
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Cum autem BE ſit velocitas, quam corpus cadendo per
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tempus
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B poteſtacquirere, triangulum hoc
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BE idem
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quod ſpatium cadendo percurſum repræſentat, dum cor-
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pus inter cadendum hanc ipſam celeritatem BE acquirit .</
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xlink:label
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Unde ſequitur, corpus in altum projectum adſcendere ad
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eandem altitudinem, à qua cadendo poteſt acquirere veloci-
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tatem, cum qua projicitur. </
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<
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ra cum diverſis velocitatibus projecta poſſunt adſcendere, eſſe
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inter ſe ut quadrata illarum velocitatum .</
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<
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tur, ex gravitate oritur, & </
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gravitate; </
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<
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plani partibus, æqualis eſt , & </
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<
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dem modo ac in corpus quieſcens . </
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<
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">eâdem de cauſa
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corporis, ſuper plano libere devolventis, ejuſdem eſt natur
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cum motu corporis libere cadentis; </
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ſunt, de illo etiam affirmari poſſunt. </
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quabiliter acceleratus in temporibus æqualibus . </
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ſitiones num. </
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pro deſcenſu, & </
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clinato ponatur, hìc etiam locum habent.</
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<
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num libere cadit, & </
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