Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XXII.
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do preſſio vim generat non in acceleratione æquales gradus
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velocitatis æquali actione communicantur; </
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">439.</
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gradus velocitatis corporibus æqualibus, quorum unum quie-
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ſcit, alterum movetur, æqualibus actionibus communicentur;
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</
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">requiritur ut illud quod in corpora agit reſpectu utriuſque
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eandem habeat relationem; </
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<
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">id eſt, deſideratur ut cauſa mo-
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vens eadem velocitate cum corpore moto feratur, in quod
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tunc poterit agere ut in corpus quieſcens: </
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<
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xml:space
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">actio autem qua
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cauſa movens transfertur ſuper addenda eſt actioni hujus
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ipſius, ut habeamus actionem integram qua corpus move-
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tur. </
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<
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xml:space
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">Unde deducimus difficilius corpus acceler ari quam mo-
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">440.</
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veri.</
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">Sint elaſtra infinite parva e, e, e, e, &</
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">c, juncta inter ſe,
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& </
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">flexa, quæ, ſi ad priſtinam redeant figuram, illam ac
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<
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fig. 1.</
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quirant, quæ in E repræſentatur, & </
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exiguum ſeſe expandant. </
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xml:space
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">Elaſtrorum hæc eſt proprietas,
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ut, ſi, dum ſe expandunt, in corpus ſibi relictum premant,
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huic vim integram, cum qua ſe expandunt, communicent,
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ſi ad partem oppoſitam obſtaculo immobili inſiſtant. </
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<
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ſtrum E communicat corpori P gradum velocitatis infinitè
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exiguum. </
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xml:space
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">Ut elaſtrum ſequens corpori æqualem gradum
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velocitatis communicet, requiritur ut elaſtrum, dum ſeſe
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expandit, ea velocitate feratur, quam corpus jam acqui-
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ſivit, aliter non ageret in corpus motum, ut E in corpus
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quieſcens egit; </
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<
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">præterea requiritur, ut in hoc motu inſi-
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ſtat Elaſtrum translatum obſtaculo, quod verſus partem op-
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poſitam cedere nequeat; </
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<
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">id eſt propellendum eſt ea vi,
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qua hoc propellit corpus; </
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">quod obtinebit, ſi elaſtro ſimili
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ſeſe expandente propellatur. </
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">Duo ergo elaſtra eodem mo-
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mento ſeſe expandentia requiruntur, ut ſecundus gradus
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celeritatis corpori communicetur, id eſt vis deſidera-
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tur dupla illius, qua primus gradus corpori communicatur.
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">Simili demonſtratione patebit, tria elaſtra, eodem momen-
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to ſeſe expandentia, aut vim triplam requiri, ut communi-
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cetur tertius velocitatis gradus & </
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nempe gradibus velocitatis infinitè exiguis ne in </
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