Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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              Cap. 12. dę
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              vacui neceſ­
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              ſitate.</s>
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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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              <s id="s.002868">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. </s>
              <s id="s.002869">aio,
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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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              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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              ,
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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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              reliquæ partis, aliàs duo plana haberent ſegmentum
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              commune, quod eſt impoſſibile. </s>
              <s id="s.002870">Hinc ſequitur, quod
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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-</s>
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