Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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PROP. CCLXIV.
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Primò ſi duæ ſuperficies planæ duorum corporum inflexibi
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lium ſeſe tangant, & poſtea ſeparari debeant, aut illo
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motu, quo plana ſemper ad inuicem æquidiſtant, aut an
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gularitèr inclinentur, neceſſariò vacuum admitti debet.
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">SInt duæ laminæ omninò duræ, & inflexibiles AB
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C, & FEH, quæ ſuis planis ſuperficiebus ADC,
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& GEH ſe mutuo tangant. </
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quod ſi ſuprema lamina ſubleue
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tur, aut flectendo angularitèr, aut
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transferendo ſursùm ſuperficiem
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GEH motu ſibi ipſi æquidiſtanti,
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neceſſariò
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vacuũ
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admitti debet;
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quia ob rigidam inflexibilemque
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duritiem corporum ABC, & FEH ſuperficies ADC,
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& GEH ſemper eamdem directam planitiem
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retinẽt
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,
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ſiuè quieſcant, ſiuè moueantur, ergo in actu ſepara
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tionis fieri non poteſt vt pars plani GEH diuellatur,
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ſepareturque à ſubiecto plano perſeuerante
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cõtactu
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reliquæ partis, aliàs duo plana haberent ſegmentum
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commune, quod eſt impoſſibile. </
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<
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diuulſio, & ſeparatio planarum ſuperficierum ADC,
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& GEH fieri debeat non ſucceſſiuè, & in tempore, v
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na pars poſt aliam, ſed tota ſimùl in vnico inſtanti,
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itaut omnes partes ſupremæ ſuperficiei ſimul diuelli,
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ſepararique debeant ab omnibus partibus ſuperfi
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ciei infimæ; quaproptèr neceſsè eſt, vt in illo vnico
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inſtanti ſeparationis creetur ſpatium interceptum̨,
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cuius figura, aut parallelepipeda erit, (ſi ſuperficie-</
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