Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XVII.
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go hæc ſpatium tempore
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B percurſum deſignat. </
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<
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modo area trianguli A1 f repræſentat ſpatium tempore A1.
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<
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">triangula hæc ſunt ſimilia, & </
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<
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">areæ illorum ſunt
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inter ſe ut quadrata laterum
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B, A1.</
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<
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">, id eſt, ſpatia ab i-
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">255.</
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nitio caſus percurſa ſunt inter ſe, ut quadrata temporum
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per quæ corpus cecidit; </
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cadendum acquiſitarum.</
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<
s
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">Diviſo tempore
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B in partes æquales, A1, 12, 23,
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3B; </
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">ducantur per diviſiones lineæ ad baſin parallelæ ſpa-
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tia percurſa in illis partibus, id eſt, in primo, ſecundo,
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tertio, & </
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">momento, poſitis momentis æqualibus, ſunt in-
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ter ſe ut areæ A1f, 1fg2, 2gh3, 3hEB; </
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<
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ex inſpectione figuræ patet, ſunt inter ſe ut numeri impares
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1. </
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<
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">Si corpus, poſtquam cecidit per tempus
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B, non ulte-
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rius acceleretur, ſed celeritate BE, eo caſu acquiſita, u-
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niformiter motum continuet, per tempus BC, æquale tem-
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pori caſus ſpatium eo motu percurſum deſignatur per aream
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BEDC, duplam areæ trianguli ABE; </
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">Corpus ab altitudine quacunque libere cadens, eacum celeri-
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tate, quam cadendo acquiſivit in tempore æqualitempori caſus,
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motu æquabili, ſpatium duplum prædictæ altitudinis percurret.</
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firmatur.</
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<
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">Motus corporis in altum projecti eodem modo retardatur,
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quo corporis cadentis motus acceleratur, ut ſequitur ex lege
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2 ; </
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">in hoc caſu vis gravitatis cum motu acquiſito conſpi- rat, in illo contrarie agit; </
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momentis æqualibus, æquales corpori celeritates commu-
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nicet , celeritas corporis projecti in altum, æqualibus
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ribus, æqualiter minuitur, aut retardatur.</
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& </
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motum ut in corpus quieſcens; </
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celeritates eædem generantur, & </
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altum projectum adſcendit, donec totum motum amiſerit;</
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